(Second Half)
P 297 TRANSCENDENTAL LOGIC SECOND DIVISION TRANSCENDENTAL DIALECTIC INTRODUCTION I TRANSCENDENTAL ILLUSION WE have already entitled dialectic in general a logic of illu- sion. This does not mean a doctrine of probability; for prob- ability is truth, known however on insufficient grounds, and the knowledge of which, though thus imperfect, is not on that account deceptive; and such doctrine, accordingly, is not to be separated from the analytic part of logic. Still less justification have we for regarding appearance and illusion as being identi- cal. For truth or illusion is not in the object, in so far as it is intuited, but in the judgment about it, in so far as it is thought. It is therefore correct to say that the senses do not err -- not because they always judge rightly but because they do not judge at all. Truth and error, therefore, and consequently also illusion as leading to error, are only to be found in the judg- ment, i.e. only in the relation of the object to our understand- ing. In any knowledge which completely accords with the laws of understanding there is no error. In a representation of the senses -- as containing no judgment whatsoever -- there is also no error. No natural force can of itself deviate from its own laws. Thus neither the understanding by itself (uninfluenced by another cause), nor the senses by themselves, would fall into error. The former would not, since, if it acts only accord- ing to its own laws, the effect (the judgment) must necessarily be in conformity with these laws; conformity with the laws P 298 of the understanding is the formal element in all truth. In the senses there is no judgment whatsoever, neither a true nor a false judgment. Now since we have no source of know- ledge besides these two, it follows that error is brought about solely by the unobserved influence of sensibility on the under- standing, through which it happens that the subjective grounds of the judgment enter into union with the objective grounds and make these latter deviate from their true function, -- just as a body in motion would always of itself continue in a straight line in the same direction, but if influenced by another force acting in another direction starts off into curvilinear motion. In order to distinguish the specific action of under- standing from the force which is intermixed with it, it is neces- sary to regard the erroneous judgment as the diagonal between two forces -- forces which determine the judgment in different directions that enclose, as it were, an angle -- and to resolve this composite action into the simple actions of the under- standing and of the sensibility. In the case of pure a priori judgments this is a task which falls to be discharged by tran- scendental reflection, through which, as we have already shown, every representation is assigned its place in the corresponding faculty of knowledge, and by which the influence of the one upon the other is therefore likewise distinguished. We are not here concerned with empirical (e.g. optical) illusion, which occurs in the empirical employment of rules of understanding that are otherwise correct, and through which the faculty of judgment is misled by the influence of imagina- tion; we are concerned only with transcendental illusion, which exerts its influence on principles that are in no wise intended for use in experience, in which case we should at least have had a criterion of their correctness. In defiance of all the warnings of criticism, it carries us altogether beyond the empirical employ- ment of categories and puts us off with a merely deceptive exten- sion of pure understanding. ++ Sensibility, when subordinated to understanding, as the object upon which the latter exercises its function, is the source of real modes of knowledge. But the same sensibility, in so far as it in- fluences the operation of understanding, and determines it to make judgments, is the ground of error. P 298 We shall entitle the principles whose application is confined entirely within the limits of possible P 299 experience, immanent; and those, on the other hand, which profess to pass beyond these limits, transcendent. In the case of these latter, I am not referring to the transcendental employ- ment or misemployment of the categories, which is merely an error of the faculty of judgment when it is not duly curbed by criticism, and therefore does not pay sufficient attention to the bounds of the territory within which alone free play is allowed to pure understanding. I mean actual principles which incite us to tear down all those boundary-fences and to seize posses- sion of an entirely new domain which recognises no limits of demarcation. Thus transcendental and transcendent are not interchangeable terms. The principles of pure understanding, which we have set out above, allow only of empirical and not of transcendental employment, that is, employment extend- ing beyond the limits of experience. A principle, on the other hand, which takes away these limits, or even commands us actually to transgress them, is called transcendent. If our criticism can succeed in disclosing the illusion in these alleged principles, then those principles which are of merely empirical employment may be called, in opposition to the others, im- manent principles of pure understanding. Logical illusion, which consists in the mere imitation of the form of reason (the illusion of formal fallacies), arises entirely from lack of attention to the logical rule. As soon as attention is brought to bear on the case that is before us, the illusion completely disappears. Transcendental illusion, on the other hand, does not cease even after it has been de- tected and its invalidity clearly revealed by transcendental criticism (e.g. the illusion in the proposition: the world must have a beginning in time). The cause of this is that there are fundamental rules and maxims for the employment of our reason (subjectively regarded as a faculty of human know- ledge), and that these have all the appearance of being ob- jective principles. We therefore take the subjective necessity of a connection of our concepts, which is to the advantage of the understanding, for an objective necessity in the deter- mination of things in themselves. This is an illusion which can no more be prevented than we can prevent the sea appearing higher at the horizon than at the shore, since we see it through higher light rays; or to cite a still better example, P 300 than the astronomer can prevent the moon from appearing larger at its rising, although he is not deceived by this illusion. The transcendental dialectic will therefore content itself with exposing the illusion of transcendent judgments, and at the same time taking precautions that we be not deceived by it. That the illusion should, like logical illusion, actually dis- appear and cease to be an illusion, is something which tran- scendental dialectic can never be in a position to achieve. For here we have to do with a natural and inevitable illusion, which rests on subjective principles, and foists them upon us as objective; whereas logical dialectic in its exposure of de- ceptive inferences has to do merely with an error in the fol- lowing out of principles, or with an illusion artificially created in imitation of such inferences. There exists, then, a natural and unavoidable dialectic of pure reason -- not one in which a bungler might entangle himself through lack of knowledge, or one which some sophist has artificially invented to confuse thinking people, but one inseparable from human reason, and which, even after its deceptiveness has been exposed, will not cease to play tricks with reason and continually entrap it into momentary aberrations ever and again calling for correction. II PURE REASON AS THE SEAT OF TRANSCENDENTAL ILLUSION A Reason in general All our knowledge starts with the senses, proceeds from thence to understanding, and ends with reason, beyond which there is no higher faculty to be found in us for elaborating the matter of intuition and bringing it under the highest unity of thought. Now that I have to give an explanation of this highest faculty of knowledge, I find myself in some difficulty. Reason, like understanding, can be employed in a merely formal, that is, logical manner, wherein it abstracts from all content of knowledge. But it is also capable of a real use, since it contains within itself the source of certain concepts and principles, P 301 which it does not borrow either from the senses or from the understanding. The former faculty has long since been defined by logicians as the faculty of making mediate inferences (in dis- tinction from immediate inferences, consequentiis immediatis); but the nature of the other faculty, which itself gives birth to con- cepts, is not to be understood from this definition. Now since we are here presented with a division of reason into a logical and a transcendental faculty, we are constrained to seek for a higher concept of this source of knowledge which includes both concepts as subordinate to itself. Following the analogy of concepts of understanding, we may expect that the logical concept will provide the key to the transcendental, and that the table of the functions of the former will at once give us the genealogical tree of the concepts of reason. In the first part of our transcendental logic we treated the understanding as being the faculty of rules; reason we shall here distinguish from understanding by entitling it the faculty of principles. The term 'principle' is ambiguous, and commonly sig- nifies any knowledge which can be used as a principle, although in itself, and as regards its proper origin, it is no principle. Every universal proposition, even one derived from experience, through induction, can serve as major premiss in a syllogism; but it is not therefore itself a principle. The mathematical axioms (e.g. that there can only be one straight line between two points) are instances of universal a priori knowledge, and are therefore rightly called principles, rela- tively to the cases which can be subsumed under them. But I cannot therefore say that I apprehend this property of straight lines in general and in itself, from principles; I apprehend it only in pure intuition. Knowledge from principles is, therefore, that knowledge alone in which I apprehend the particular in the universal through concepts. Thus every syllogism is a mode of deducing knowledge from a principle. For the major premiss always gives a concept through which everything that is subsumed under the concept as under a condition is known from the con- cept according to a principle. Now since any universal know- ledge can serve as major premiss in a syllogism, and since the understanding presents us with universal a priori propositions P 302 of this kind, they can also be called principles in respect of their possible employment. But if we consider them in themselves in relation to their origin, these fundamental propositions of pure understanding are anything rather than knowledge based on concepts. For they would not even be possible a priori, if we were not sup- ported by pure intuition (in mathematics), or by conditions of a possible experience in general. That everything that happens has a cause cannot be inferred merely from the concept of happening in general; on the contrary, it is this fundamental proposition which shows how in regard to that which happens we are in a position to obtain in experience any concept what- soever that is really determinate. The understanding can, then, never supply any synthetic modes of knowledge derived from concepts; and it is such modes of knowledge that are properly, without qualification, to be entitled 'principles'. All universal propositions, however, may be spoken of as 'principles' in a comparative sense. It has long been wished -- and sometime perhaps (who knows when! ) may be fulfilled -- that instead of the endless multiplicity of civil laws we should be able to fall back on their general principles. For it is in these alone that we can hope to find the secret of what we are wont to call the simplifying of legislation. In this domain, however, the laws are only limita- tions imposed upon our freedom in order that such freedom may completely harmonise with itself; hence they are directed to something which is entirely our own work, and of which we ourselves, through these concepts, can be the cause. But that objects in themselves, the very nature of things, should stand under principles, and should be determined according to mere concepts, is a demand which, if not impossible, is at least quite contrary to common sense. But however that may be (it is a question which we still have to discuss), it is now at least evident that knowledge derived from principles which are genuinely such is something quite different from knowledge obtained merely through the understanding. The latter may, indeed, also take the form of a principle and thus be prior to some other knowledge, but in itself, in so far as it is syn- P 303 thetic, it does not depend on thought alone, nor contain in itself a universal obtained from concepts. Understanding may be regarded as a faculty which secures the unity of appearances by means of rules, and reason as being the faculty which secures the unity of the rules of under- standing under principles. Accordingly, reason never applies itself directly to experience or to any object, but to understand- ing, in order to give to the manifold knowledge of the latter an a priori unity by means of concepts, a unity which may be called the unity of reason, and which is quite different in kind from any unity that can be accomplished by the understanding. This is the universal concept of the faculty of reason in so far as it has been possible to make it clear in the total absence of examples. These will be given in the course of our argu- ment. B The Logical Employment of Reason A distinction is commonly made between what is immediately known and what is merely inferred. That in a figure which is bounded by three straight lines there are three angles, is known immediately; but that the sum of these angles is equal to two right angles, is merely inferred. Since we have constantly to make use of inference, and so end by becoming completely accus- tomed to it, we no longer take notice of this distinction, and frequently, as in the so-called deceptions of the senses, treat as being immediately perceived what has really only been inferred. In every process of reasoning there is a fundamental proposi- tion, and another, namely the conclusion, which is drawn from it, and finally, the inference (logical sequence) by which the truth of the latter is inseparably connected with the truth of the former. If the inferred judgment is already so contained in the earlier judgment that it may be derived from it without the mediation of a third representation, the inference is called immediate (consequentia immediata) -- I should prefer to entitle it inference of the understanding. But if besides the know- ledge contained in the primary proposition still another judg- P 304 ment is needed to yield the conclusion, it is to be entitled an inference of the reason. In the proposition : "All men are mortal", there are already contained the propositions : "some men are mortal", "some mortal beings are men", "nothing that is not mortal is a man"; and these are therefore immediate conclusions from it. On the other hand, the proposition: "All learned beings are mortal", is not contained in the funda- mental judgment (for the concept of learned beings does not occur in it at all), and it can only be inferred from it by means of a mediating judgment. In every syllogism I first think a rule (the major premiss) through the understanding. Secondly, I subsume something known under the condition of the rule by means of judgment (the minor premiss). Finally, what is thereby known I deter- mine through the predicate of the rule, and so a priori through reason (the conclusion). The relation, therefore, which the major premiss, as the rule, represents between what is known and its condition is the ground of the different kinds of syllo- gism. Consequently, syllogisms, like judgments, are of three kinds, according to the different ways in which, in the under- standing, they express the relation of what is known; they are either categorical, hypothetical, or disjunctive. If, as generally happens, the judgment that forms the con- clusion is set as a problem -- to see whether it does not follow from judgments already given, and through which a quite different object is thought -- I look in the understanding for the assertion of this conclusion, to discover whether it is not there found to stand under certain conditions according to a uni- versal rule. If I find such a condition, and if the object of the conclusion can be subsumed under the given condition, then the conclusion is deduced from the rule, which is also valid for other objects of knowledge. From this we see that in inference reason endeavours to reduce the varied and manifold know- ledge obtained through the understanding to the smallest number of principles (universal conditions) and thereby to achieve in it the highest possible unity. P 305 C The Pure Employment of Reason Can we isolate reason, and is it, so regarded, an independ- ent source of concepts and judgments which spring from it alone, and by means of which it relates to objects; or is it a merely subordinate faculty, for imposing on given modes of knowledge a certain form, called logical -- a faculty through which what is known by means of the understanding is deter- mined in its interrelations, lower rules being brought under higher (namely, those the condition of which includes in its own sphere the condition of the lower), as far as this can be done through [processes of] comparison? This is the question with which we are now provisionally occupying ourselves. As a matter of fact, multiplicity of rules and unity of principles is a demand of reason, for the purpose of bringing the understand- ing into thoroughgoing accordance with itself, just as the understanding brings the manifold of intuition under concepts and thereby connects the manifold. But such a principle does not prescribe any law for objects, and does not contain any general ground of the possibility of knowing or of determining objects as such; it is merely a subjective law for the orderly management of the possessions of our understanding, that by comparison of its concepts it may reduce them to the smallest possible number; it does not justify us in demanding from the objects such uniformity as will minister to the convenience and extension of our understanding; and we may not, there- fore, ascribe to the maxim any objective validity. In a word, the question is, does reason in itself, that is, does pure reason, contain a priori synthetic principles and rules, and in what may these principles consist? The formal and logical procedure of reason in syllogisms gives us sufficient guidance as to the ground on which the transcendental principle of pure reason in its synthetic know- ledge will rest. In the first place, reason in the syllogism does not concern itself with intuitions, with a view to bringing them under rules (as the understanding does with its categories), but with con- P 306 cepts and judgments. Accordingly, even if pure reason does concern itself with objects, it has no immediate relation to these and the intuition of them, but only to the understand- ing and its judgments -- which deal at first hand with the senses and their intuition for the purpose of determining their object. The unity of reason is therefore not the unity of a possible experience, but is essentially different from such unity, which is that of understanding. That everything which happens has a cause, is not a principle known and prescribed by reason. That principle makes the unity of experience possible, and borrows nothing from reason, which, apart from this relation to possible experience, could never, from mere concepts, have imposed any such synthetic unity. Secondly, reason, in its logical employment, seeks to dis- cover the universal condition of its judgment (the conclusion), and the syllogism is itself nothing but a judgment made by means of the subsumption of its condition under a universal rule (the major premiss). Now since this rule is itself subject to the same requirement of reason, and the condition of the con- dition must therefore be sought (by means of a prosyllogism) whenever practicable, obviously the principle peculiar to reason in general, in its logical employment, is: -- to find for the con- ditioned knowledge obtained through the understanding the unconditioned whereby its unity is brought to completion. But this logical maxim can only become a principle of pure reason through our assuming that if the conditioned is given, the whole series of conditions, subordinated to one another -- a series which is therefore itself unconditioned -- is likewise given, that is, is contained in the object and its connection. Such a principle of pure reason is obviously synthetic; the conditioned is analytically related to some condition but not to the unconditioned. From the principle there must also follow various synthetic propositions, of which pure under- standing -- inasmuch as it has to deal only with objects of a possible experience, the knowledge and synthesis of which is always conditioned -- knows nothing. The unconditioned, if its actuality be granted, is especially to be considered in respect of all the determinations which distinguish it from whatever P 307 is conditioned, and thereby must yield material for many synthetic a priori propositions. The principles arising from this supreme principle of pure reason will, however, be transcendent in relation to all appearances, i.e. there can never be any adequate empirical employment of the principle. It will therefore be entirely different from all principles of understanding, the employment of which is wholly immanent, inasmuch as they have as their theme only the possibility of experience. Take the principle, that the series of conditions (whether in the synthesis of appearances, or even in the thinking of things in general) extends to the unconditioned. Does it, or does it not, have objective applicability? What are its implications as regards the empirical employment of understanding? Or is there no such objectively valid principle of reason, but only a logical precept, to advance towards completeness by an ascent to ever higher conditions and so to give to our know- ledge the greatest possible unity of reason? Can it be that this requirement of reason has been wrongly treated in being viewed as a transcendental principle of pure reason, and that we have been overhasty in postulating such an unbounded completeness of the series of conditions in the objects them- selves? In that case, what other misunderstandings and de- lusions may have crept into the syllogisms, whose major pre- miss (perhaps rather an assumption than a postulate) is derived from pure reason, and which proceed from experience upwards to its conditions? To answer these questions will be our task in the Transcendental Dialectic, which we shall now endeavour to develop from its deeply concealed sources in human reason. We shall divide the Dialectic into two chapters, the first on the transcendent concepts of pure reason, the second on its transcendent and dialectical syllogisms. P 308 THE TRANSCENDENTAL DIALECTIC BOOK I THE CONCEPTS OF PURE REASON WHATEVER we may have to decide as to the possibility of the concepts derived from pure reason, it is at least true that they are not to be obtained by mere reflection but only by inference. Concepts of understanding are also thought a - priori antecedently to experience and for the sake of experi- ence, but they contain nothing more than the unity of reflec- tion upon appearances, in so far as these appearances must necessarily belong to a possible empirical consciousness. Through them alone is knowledge and the determination of an object possible. They first provide the material required for making inferences, and they are not preceded by any a priori concepts of objects from which they could be inferred. On the other hand, their objective reality is founded solely on the fact that, since they constitute the intellectual form of all experience, it must always be possible to show their appli- cation in experience. The title 'concept of reason' already gives a preliminary indication that we are dealing with something which does not allow of being confined within experience, since it con- cerns a knowledge of which any empirical knowledge (perhaps even the whole of possible experience or of its empirical syn- thesis) is only a part. No actual experience has ever been com- pletely adequate to it, yet to it every actual experience belongs. Concepts of reason enable us to conceive, concepts of under- standing to understand -- ([as employed in reference to] percep- tions). If the concepts of reason contain the unconditioned, they are concerned with something to which all experience is subor- P 309 dinate, but which is never itself an object of experience -- something to which reason leads in its inferences from experi- ence, and in accordance with which it estimates and gauges the degree of its empirical employment, but which is never itself a member of the empirical synthesis. If, none the less, these concepts possess objective validity, they may be called conceptus ratiocinati (rightly inferred concepts); if, however, they have no such validity, they have surreptitiously obtained recognition through having at least an illusory appearance of being inferences, and may be called conceptus ratiocinantes (pseudo-rational concepts). But since this can be established only in the chapter on the dialectical inferences of pure reason, we are not yet in a position to deal with it. Meantime, just as we have entitled the pure concepts of understanding cate- gories, so we shall give a new name to the concepts of pure reason, calling them transcendental ideas. This title we shall now explain and justify. FIRST BOOK OF THE TRANSCENDENTAL DIALECTIC Section I THE IDEAS IN GENERAL Despite the great wealth of our languages, the thinker often finds himself at a loss for the expression which exactly fits his concept, and for want of which he is unable to be really intel- ligible to others or even to himself. To coin new words is to ad- vance a claim to legislation in language that seldom succeeds; and before we have recourse to this desperate expedient it is advisable to look about in a dead and learned language, to see whether the concept and its appropriate expression are not already there provided. Even if the old-time usage of a term should have become somewhat uncertain through the careless- ness of those who introduced it, it is always better to hold fast to the meaning which distinctively belongs to it (even though it remain doubtful whether it was originally used in precisely this sense) than to defeat our purpose by making ourselves unintelligible. P 310 For this reason, if there be only a single word the estab- lished meaning of which exactly agrees with a certain concept, then, since it is of great importance that this concept be dis- tinguished from related concepts, it is advisable to economise in the use of the word and not to employ it, merely for the sake of variety, as a synonym for some other expression, but carefully to keep to its own proper meaning. Otherwise it may easily happen that the expression ceasing to engage the attention in one specific sense, and being lost in the multitude of other words of very different meaning, the thought also is lost which it alone could have preserved. Plato made use of the expression 'idea' in such a way as quite evidently to have meant by it something which not only can never be borrowed from the senses but far surpasses even the concepts of understanding (with which Aristotle occupied him- self), inasmuch as in experience nothing is ever to be met with that is coincident with it. For Plato ideas are archetypes of the things themselves, and not, in the manner of the cate- gories, merely keys to possible experiences. In his view they have issued from highest reason, and from that source have come to be shared in by human reason, which, however, is now no longer in its original state, but is constrained laboriously to recall, by a process of reminiscence (which is named philo- sophy), the old ideas, now very much obscured. I shall not engage here in any literary enquiry into the meaning which this illustrious philosopher attached to the expression. I need only remark that it is by no means unusual, upon comparing the thoughts which an author has expressed in regard to his subject, whether in ordinary conversation or in writing, to find that we understand him better than he has understood himself. As he has not sufficiently determined his concept, he has some- times spoken, or even thought, in opposition to his own in- tention. Plato very well realised that our faculty of knowledge feels a much higher need than merely to spell out appearances ac- cording to a synthetic unity, in order to be able to read them as experience. He knew that our reason naturally exalts itself to forms of knowledge which so far transcend the bounds of experience that no given empirical object can ever coincide P 311 with them, but which must none the less be recognised as having their own reality, and which are by no means mere fictions of the brain. Plato found the chief instances of his ideas in the field of the practical, that is, in what rests upon freedom, which in its turn rests upon modes of knowledge that are a peculiar product of reason. Whoever would derive the concepts of virtue from experience and make (as many have actually done) what at best can only serve as an example in an imperfect kind of exposi- tion, into a pattern from which to derive knowledge, would make of virtue something which changes according to time and circumstance, an ambiguous monstrosity not admitting of the formation of any rule. On the contrary, as we are well aware, if anyone is held up as a pattern of virtue, the true original with which we compare the alleged pattern and by which alone we judge of its value is to be found only in our minds. This original is the idea of virtue, in respect of which the possible objects of experience may serve as examples (proofs that what the concept of reason commands is in a cer- tain degree practicable), but not as archetype. That no one of us will ever act in a way which is adequate to what is con- tained in the pure idea of virtue is far from proving this thought to be in any respect chimerical. For it is only by means of this idea that any judgment as to moral worth or its opposite is possible; and it therefore serves as an indispensable founda- tion for every approach to moral perfection -- however the obstacles in human nature, to the degree of which there are no assignable limits, may keep us far removed from its complete achievement. ++ He also, indeed, extended his concept so as to cover specu- lative knowledge, provided only the latter was pure and given com- pletely a priori. He even extended it to mathematics, although the object of that science is to be found nowhere except in possible ex- perience. In this I cannot follow him, any more than in his mystical deduction of these ideas, or in the extravagances whereby he, so to speak, hypostatised them -- although, as must be allowed, the exalted language, which he employed in this sphere, is quite capable of a milder interpretation that accords with the nature of things. P 311 The Republic of Plato has become proverbial as a striking example of a supposedly visionary perfection, such as can exist P 312 only in the brain of the idle thinker; and Brucker has ridiculed the philosopher for asserting that a prince can rule well only in so far as he participates in the ideas. We should, however, be better advised to follow up this thought, and, where the great philosopher leaves us without help, to place it, through fresh efforts, in a proper light, rather than to set it aside as use- less on the very sorry and harmful pretext of impracticability. A constitution allowing the greatest possible human freedom in accordance with laws by which the freedom of each is made to be consistent with that of all others -- I do not speak of the greatest happiness, for this will follow of itself -- is at any rate a necessary idea, which must be taken as fundamental not only in first projecting a constitution but in all its laws. For at the start we are required to abstract from the actually existing hindrances, which, it may be, do not arise unavoidably out of human nature, but rather are due to a quite remediable cause, the neglect of the pure ideas in the making of the laws. Nothing, indeed, can be more injurious, or more unworthy of a philosopher, than the vulgar appeal to so-called adverse ex- perience. Such experience would never have existed at all, if at the proper time those institutions had been established in accordance with ideas, and if ideas had not been displaced by crude conceptions which, just because they have been derived from experience, have nullified all good intentions. The more legislation and government are brought into harmony with the above idea, the rarer would punishments become, and it is there- fore quite rational to maintain, as Plato does, that in a perfect state no punishments whatsoever would be required. This per- fect state may never, indeed, come into being; none the less this does not affect the rightfulness of the idea, which, in order to bring the legal organisation of mankind ever nearer to its greatest possible perfection, advances this maximum as an archetype. For what the highest degree may be at which mankind may have to come to a stand, and how great a gulf may still have to be left between the idea and its realisation, are questions which no one can, or ought to, answer. For the issue depends on freedom; and it is in the power of freedom to pass beyond any and every specified limit. P 313 But it is not only where human reason exhibits genuine causality, and where ideas are operative causes (of actions and their objects), namely, in the moral sphere, but also in regard to nature itself, that Plato rightly discerns clear proofs of an origin from ideas. A plant, an animal, the orderly arrangement of the cosmos -- presumably therefore the entire natural world -- clearly show that they are possible only according to ideas, and that though no single creature in the conditions of its individual existence coincides with the idea of what is most perfect in its kind -- just as little as does any human being with the idea of humanity, which he yet carries in his soul as the archetype of his actions -- these ideas are none the less completely determined in the Supreme Understanding, each as an individual and each as unchangeable, and are the original causes of things. But only the totality of things, in their interconnection as constituting the universe, is com- pletely adequate to the idea. If we set aside the exaggera- tions in Plato's methods of expression, the philosopher's spiritual flight from the ectypal mode of reflecting upon the physical world-order to the architectonic ordering of it ac- cording to ends, that is, according to ideas, is an enterprise which calls for respect and imitation. It is, however, in regard to the principles of morality, legislation, and religion, where the experience, in this case of the good, is itself made possible only by the ideas -- incomplete as their empirical expression must always remain -- that Plato's teaching exhibits its quite peculiar merits. When it fails to obtain recognition, this is due to its having been judged in accordance with precisely those empirical rules, the invalidity of which, regarded as principles, it has itself demonstrated. For whereas, so far as nature is con- cerned, experience supplies the rules and is the source of truth, in respect of the moral laws it is, alas, the mother of illusion! Nothing is more reprehensible than to derive the laws prescribing what ought to be done from what is done, or to impose upon them the limits by which the latter is circum- scribed. But though the following out of these considerations is what gives to philosophy its peculiar dignity, we must mean- time occupy ourselves with a less resplendent, but still meri- P 314 torious task, namely, to level the ground, and to render it sufficiently secure for moral edifices of these majestic dimen- sions. For this ground has been honeycombed by subterranean workings which reason, in its confident but fruitless search for hidden treasures, has carried out in all directions, and which threaten the security of the superstructures. Our present duty is to obtain insight into the transcendental employment of pure reason, its principles and ideas, that we may be in a position to determine and estimate its influence and true value. Yet, before closing these introductory remarks, I beseech those who have the interests of philosophy at heart (which is more than is the case with most people) that, if they find themselves convinced by these and the following considera- tions, they be careful to preserve the expression 'idea' in its original meaning, that it may not become one of those expressions which are commonly used to indicate any and every species of representation, in a happy-go-lucky confu- sion, to the consequent detriment of science. There is no lack of terms suitable for each kind of representation, that we should thus needlessly encroach upon the province of any one of them. Their serial arrangement is as follows. The genus is representation in general (repraesentatio). Subordinate to it stands representation with consciousness (perceptio). A perception which relates solely to the subject as the modifica- tion of its state is sensation (sensatio), an objective perception is knowledge (cognitio). This is either intuition or concept (intuitus vel conceptus). The former relates immediately to the object and is single, the latter refers to it immediately by means of a feature which several things may have in common. The concept is either an empirical or a pure concept. The pure con- cept, in so far as it has its origin in the understanding alone (not in the pure image of sensibility), is called a notion. A concept formed from notions and transcending the possibility of experience is an idea or concept of reason. Anyone who has familiarised himself with these distinctions must find it intolerable to hear the representation of the colour, red, called an idea. It ought not even to be called a concept of under- standing, a notion. P 315 FIRST BOOK OF THE TRANSCENDENTAL DIALECTIC Section 2 THE TRANSCENDENTAL IDEAS The Transcendental Analytic has shown us how the mere logical form of our knowledge may in itself contain original pure a priori concepts, which represent objects prior to all experience, or, speaking more correctly, indicate the synthetic unity which alone makes possible an empirical knowledge of objects. The form of judgments (converted into a concept of the synthesis of intuitions) yielded categories which direct all employment of understanding in experience. Similarly, we may presume that the form of syllogisms, when applied to the synthetic unity of intuitions under the direction of the categories, will contain the origin of special a priori concepts, which we may call pure concepts of reason, or transcendental ideas, and which will determine according to principles how understanding is to be employed in dealing with experience in its totality. The function of reason in its inferences consists in the universality of knowledge [which it yields] according to con- cepts, the syllogism being itself a judgment which is deter- mined a priori in the whole extent of its conditions. The pro- position, 'Caius is mortal', I could indeed derive from experi- ence by means of the understanding alone. But I am in pursuit of a concept (in this case, the concept 'man') that contains the condition under which the predicate (general term for what is asserted) of this judgment is given; and after I have sub- sumed the predicate under this condition taken in its whole extension ('All men are mortal'), I proceed, in accordance therewith, to determine the knowledge of my object ('Caius is mortal'). Accordingly, in the conclusion of a syllogism we restrict a P 316 predicate to a certain object, after having first thought it in the major premiss in its whole extension under a given con- dition. This complete quantity of the extension in relation to such a condition is called universality (universalitas). In the synthesis of intuitions we have corresponding to this the allness (universitas) or totality of the conditions. The transcendental concept of reason is, therefore, none other than the concept of the totality of the conditions for any given conditioned. Now since it is the unconditioned alone which makes possible the totality of conditions, and, conversely, the totality of conditions is always itself unconditioned, a pure concept of reason can in general be explained by the concept of the unconditioned, conceived as containing a ground of the synthesis of the conditioned. The number of pure concepts of reason will be equal to the number of kinds of relation which the understanding repre- sents to itself by means of the categories. We have therefore to seek for an unconditioned, first, of the categorical synthesis in a subject; secondly, of the hypothetical synthesis of the members of a series; thirdly, of the disjunctive synthesis of the parts in a system. There is thus precisely the same number of kinds of syl- logism, each of which advances through prosyllogisms to the unconditioned: first, to the subject which is never itself a pre- dicate; secondly, to the presupposition which itself presup- poses nothing further; thirdly, to such an aggregate of the members of the division of a concept as requires nothing further to complete the division. The pure concepts of reason -- of totality in the synthesis of conditions -- are thus at least necessary as setting us the task of extending the unity of understanding, where possible, up to the unconditioned, and are grounded in the nature of human reason. These tran- scendental concepts may, however, be without any suitable corresponding employment in concreto, and may therefore have no other utility than that of so directing the understand- ing that, while it is extended to the uttermost, it is also at the same time brought into complete consistency with itself. But while we are here speaking of the totality of con- ditions and of the unconditioned, as being equivalent titles for all concepts of reason, we again come upon an expression P 317 with which we cannot dispense, and which yet, owing to an ambiguity that attaches to it through long-standing misuse, we also cannot with safety employ. The word 'absolute' is one of the few words which in their original meaning were adapted to a concept that no other word in the same language exactly suits. Consequently its loss, or what amounts to the same thing, looseness in its employment, must carry with it the loss of the concept itself. And since, in this case, the con- cept is one to which reason devotes much of its attention, it cannot be relinquished without greatly harming all tran- scendental philosophy. The word 'absolute' is now often used merely to indicate that something is true of a thing considered in itself, and therefore of its inward nature. In this sense the absolutely possible would mean that which in itself (interne) is possible -- which is, in fact, the least that can be said of an object. On the other hand, the word is also sometimes used to indicate that something is valid in all respects, without limita- tion, e.g. absolute despotism, and in this sense the absolutely possible would mean what is in every relation (in all respects) possible -- which is the most that can be said of the possibility of a thing. Now frequently we find these two meanings com- bined. For example, what is internally impossible is impossible in any relation, and therefore absolutely impossible. But in most cases the two meanings are infinitely far apart, and I can in no wise conclude that because something is in itself possible, it is therefore also possible in every relation, and so absolutely possible. Indeed, as I shall subsequently show, absolute neces- sity is by no means always dependent on inner necessity, and must not, therefore, be treated as synonymous with it. If the opposite of something is internally impossible, this opposite is, of course, impossible in all respects, and the thing itself is therefore absolutely necessary. But I cannot reverse the reasoning so as to conclude that if something is absolutely necessary its opposite is internally impossible, i.e. that the absolute necessity of things is an inner necessity. For this inner necessity is in certain cases a quite empty expression to which we cannot attach any concept whatsoever, whereas the concept of the necessity of a thing in all relations (to every- thing possible) involves certain quite special determinations. P 318 Since the loss of a concept that is of great importance for speculative science can never be a matter of indifference to the philosopher, I trust that the fixing and careful preservation of the expression, on which the concept depends, will like- wise be not indifferent to him. It is, then, in this wider sense that I shall use the word 'absolute', opposing it to what is valid only comparatively, that is, in some particular respect. For while the latter is re- stricted by conditions, the former is valid without restriction. Now the transcendental concept of reason is directed always solely towards absolute totality in the synthesis of con- ditions, and never terminates save in what is absolutely, that is, in all relations, unconditioned. For pure reason leaves every- thing to the understanding -- the understanding [alone] apply- ing immediately to the objects of intuition, or rather to their synthesis in the imagination. Reason concerns itself exclusively with absolute totality in the employment of the concepts of the understanding, and endeavours to carry the synthetic unity. which is thought in the category, up to the completely uncon- ditioned. We may call this unity of appearances the unity of reason, and that expressed by the category the unity of under- standing. Reason accordingly occupies itself solely with the employment of understanding, not indeed in so far as the latter contains the ground of possible experience (for the concept of the absolute totality of conditions is not applicable in any experience, since no experience is unconditioned), but solely in order to prescribe to the understanding its direction to- wards a certain unity of which it has itself no concept, and in such manner as to unite all the acts of the understanding, in respect of every object, into an absolute whole. The object- ive employment of the pure concepts of reason is, therefore, always transcendent, while that of the pure concepts of under- standing must, in accordance with their nature, and inasmuch as their application is solely to possible experience, be always immanent. I understand by idea a necessary concept of reason to which no corresponding object can be given in sense-ex- perience. Thus the pure concepts of reason, now under con- sideration, are transcendental ideas. They are concepts of pure P 319 reason, in that they view all knowledge gained in experience as being determined through an absolute totality of conditions. They are not arbitrarily invented; they are imposed by the very nature of reason itself, and therefore stand in necessary relation to the whole employment of understanding. Finally, they are transcendent and overstep the limits of all experi- ence; no object adequate to the transcendental idea can ever be found within experience. If I speak of an idea, then as regards its object, viewed as an object of pure understanding, I am saying a great deal, but as regards its relation to the subject, that is, in respect of its actuality under empirical conditions, I am for the same reason saying very little, in that, as being the concept of a maximum, it can never be correspondingly given in concreto. Since in the merely speculative employment of reason the latter [namely, to determine the actuality of the idea under empirical conditions] is indeed our whole purpose, and since the approximation to a concept, which yet is never actually reached, puts us in no better position than if the con- cept were entirely abortive, we say of such a concept -- it is only an idea. The absolute whole of all appearances -- we might thus say -- is only an idea; since we can never represent it in image, it remains a problem to which there is no solution. But since, on the other hand, in the practical employment of understand- ing, our sole concern is with the carrying out of rules, the idea of practical reason can always be given actually in concreto, although only in part; it is, indeed, the indispensable condition of all practical employment of reason. The practice of it is al- ways limited and defective, but is not confined within determin- able boundaries, and is therefore always under the influence of the concept of an absolute completeness. The practical idea is, therefore, always in the highest degree fruitful, and in its relation to our actual activities is indispensably necessary. Reason is here, indeed, exercising causality, as actually bringing about that which its concept contains; and of such wisdom we cannot, therefore, say disparagingly it is only an idea. On the contrary, just because it is the idea of the neces- sary unity of all possible ends, it must as an original, and at least restrictive condition, serve as standard in all that bears on the practical. Although we must say of the transcendental concepts of P 320 reason that they are only ideas, this is not by any means to be taken as signifying that they are superfluous and void. For even if they cannot determine any object, they may yet, in a fundamental and unobserved fashion, be of service to the understanding as a canon for its extended and consistent em- ployment. The understanding does not thereby obtain more knowledge of any object than it would have by means of its own concepts, but for the acquiring of such knowledge it receives better and more extensive guidance. Further -- what we need here no more than mention -- concepts of reason may perhaps make possible a transition from the concepts of nature to the practical concepts, and in that way may give support to the moral ideas themselves, bringing them into connection with the speculative knowledge of reason. As to all this, we must await explanation in the sequel. In accordance with our plan we leave aside the practical ideas, and consider reason only in its speculative, or rather, restricting ourselves still further, only in its transcendental employment. Here we must follow the path that we have taken in the deduction of the categories; we must consider the logical form of knowledge through reason, to see whether perhaps reason may not thereby be likewise a source of con- cepts which enable us to regard objects in themselves as deter- mined synthetically a priori, in relation to one or other of the functions of reason. Reason, considered as the faculty of a certain logical form of knowledge, is the faculty of inferring, i.e. judging medi- ately (by the subsumption of the condition of a possible judg- ment under the condition of a given judgment). The given judgment is the universal rule (major premiss). The subsump- tion of the condition of another possible judgment under the condition of the rule is the minor premiss. The actual judg- ment which applies the assertion of the rule to the subsumed case is the conclusion. The rule states something universally, subject to a certain condition. The condition of the rule is found to be fulfilled in an actual case. What has been asserted to be universally valid under that condition is therefore to be regarded as valid also in the actual case, which involves that condition. It is very evident, therefore, that reason arrives at P 321 knowledge by means of acts of the understanding which con- stitute a series of conditions. Thus if I arrive at the proposi- tion that all bodies are alterable, only by beginning with the more remote knowledge (in which the concept of body does not occur, but which nevertheless contains the condi- tion of that concept), namely, that everything composite is alterable; if I then proceed from this to a proposition which is less remote and stands under the condition of the last- named proposition, namely, that bodies are composite; and if from this I finally pass to a third proposition, which connects the more remote knowledge (alterable) with the knowledge actually before me, and so conclude that bodies are alter- able -- by this procedure I have arrived at knowledge (a con- clusion) by means of a series of conditions (the premisses). Now every series the exponent of which is given (in categori- cal or hypothetical judgment) can be continued; consequently this same activity of reason leads to ratiocinatio polysyllo- gistica, which is a series of inferences that can be prolonged indefinitely on the side either of the conditions (per prosyllo- gismos) or of the conditioned (per episyllogismos). But we soon become aware that the chain or series of pro- syllogisms, that is, of inferred knowledge on the side of the grounds or conditions of a given knowledge, in other words, of the ascending series of syllogisms, must stand in a different relation to the faculty of reason from that of the descending series, that is, of the advance of reason in the direction of the conditioned, by means of episyllogisms. For since in the former case the knowledge (conclusio) is given only as conditioned, we cannot arrive at it by means of reason otherwise than on the assumption that all the members of the series on the side of the conditions are given (totality in the series of the premisses); only on this assumption is the judgment before us possible a priori: whereas on the side of the conditioned, in respect of consequences, we only think a series in process of becoming, not one already presupposed or given in its completeness, and therefore an advance that is merely potential. If, therefore, knowledge be viewed as conditioned, reason is constrained to regard the series of conditions in the ascending line as com- pleted and as given in their totality. But if the same knowledge P 322 is viewed as a condition of yet other knowledge, and this know- ledge as constituting a series of consequences in a descend- ing line, reason can be quite indifferent as to how far this advance extends a parte posteriori, and whether a totality of the series is possible at all. For it does not need such a series in order to be able to draw its conclusion, this being already sufficiently determined and secured by its grounds a parte - priori. The series of premisses on the side of the conditions may have a first member, as its highest condition, or it may have no such member, in which case it is without limits a parte - priori. But however this may be, and even admitting that we can never succeed in comprehending a totality of conditions, the series must none the less contain such a totality; and the entire series must be unconditionally true if the conditioned, which is regarded as a consequence resulting from it, is to be counted as true. This is a requirement of reason, which an- nounces its knowledge as being determined a priori and as necessary, either in itself, in which case it needs no grounds, or, if it be derivative, as a member of a series of grounds, which itself, as a series, is unconditionally true. FIRST BOOK OF THE TRANSCENDENTAL DIALECTIC Section 3 SYSTEM OF THE TRANSCENDENTAL IDEAS We are not at present concerned with logical dialectic, which abstracts from all the content of knowledge and con- fines itself to exposing the fallacies concealed in the form of syllogisms, but with a transcendental dialectic which has to contain, completely a priori, the origin of certain modes of knowledge derived from pure reason as well as of certain inferred concepts, the object of which can never be given em- pirically and which therefore lie entirely outside [the sphere of ] the faculty of pure understanding. From the natural rela- tion which the transcendental employment of our knowledge, alike in inferences and in judgments, must bear to its logical P 323 employment, we have gathered that there can be only three kinds of dialectical inference, corresponding to the three kinds of inference through which reason can arrive at know- ledge by means of principles, and that in all of these its busi- ness is to ascend from the conditioned synthesis, to which understanding always remains restricted, to the unconditioned, which understanding can never reach. The relations which are to be universally found in all our representations are (1) relation to the subject; (2) relation to objects, either as appearances or as objects of thought in general. If we combine the subdivision with the main division, all relation of representations, of which we can form either a concept or an idea, is then threefold: (1) the relation to the subject; (2) the relation to the manifold of the object in the [field of] appearance; (3) the relation to all things in general. Now all pure concepts in general are concerned with the synthetic unity of representations, but [those of them which are] concepts of pure reason (transcendental ideas) are con- cerned with the unconditioned synthetic unity of all conditions in general. All transcendental ideas can therefore be arranged in three classes, the first containing the absolute (unconditioned) unity of the thinking subject, the second the absolute unity of the series of conditions of appearance, the third the absolute unity of the condition of all objects of thought in general. The thinking subject is the object of psychology, the sum- total of all appearances (the world) is the object of cosmology, and the thing which contains the highest condition of the possibility of all that can be thought (the being of all beings) the object of theology. Pure reason thus furnishes the idea for a transcendental doctrine of the soul (psychologia ratio- nalis), for a transcendental science of the world (cosmologia rationalis), and, finally, for a transcendental knowledge of God (theologia transzendentalis). The understanding is not in a position to yield even the mere project of any one of these sciences, not even though it be supported by the highest logical employment of reason, that is, by all the conceiv- able inferences through which we seek to advance from one of its objects (appearance) to all others, up to the most remote P 324 members of the empirical synthesis; each of these sciences is an altogether pure and genuine product, or problem, of pure reason. In what precise modes the pure concepts of reason come under these three headings of all transcendental ideas will be fully explained in the next chapter. They follow the guiding- thread of the categories. For pure reason never relates directly to objects, but to the concepts which understanding frames in regard to objects. Similarly it is only by the process of completing our argument that it can be shown how reason, simply by the synthetic employment of that very function of which it makes use in categorical syllogisms, is necessarily brought to the concept of the absolute unity of the thinking subject, how the logical procedure used in hypothetical syllo- gisms leads to the ideal of the completely unconditioned in a series of given conditions, and finally how the mere form of the disjunctive syllogism must necessarily involve the highest concept of reason, that of a being of all beings -- a thought which, at first sight, seems utterly paradoxical. No objective deduction, such as we have been able to give of the categories, is, strictly speaking, possible in the case of these transcendental ideas. Just because they are only ideas they have, in fact, no relation to any object that could be given as coinciding with them. We can, indeed, undertake a sub- jective derivation of them from the nature of our reason; and this has been provided in the present chapter. As is easily seen, what pure reason alone has in view is the absolute totality of the synthesis on the side of the con- ditions (whether of inherence, of dependence, or of concur- rence); it is not concerned with absolute completeness on the side of the conditioned. For the former alone is required in order to presuppose the whole series of the conditions, and to present it a priori to the understanding. Once we are given a complete (and unconditioned) condition, no concept of reason is required for the continuation of the series; for every step in the forward direction from the condition to the con- ditioned is carried through by the understanding itself. The P 325 transcendental ideas thus serve only for ascending, in the series of conditions, to the unconditioned, that is, to principles. As regards the descending to the conditioned, reason does, indeed, make a very extensive logical employment of the laws of understanding, but no kind of transcendental employ- ment; and if we form an idea of the absolute totality of such a synthesis (of the progressus), as, for instance, of the whole series of all future alterations in the world, this is a creation of the mind (ens rationis) which is only arbitrarily thought, and not a necessary presupposition of reason. For the possibility of the conditioned presupposes the totality of its conditions, but not of its consequences. Such a concept is not, therefore, one of the transcendental ideas; and it is with these alone that we have here to deal. Finally, we also discern that a certain connection and unity is evident among the transcendental ideas themselves, and that by means of them pure reason combines all its modes of knowledge into a system. The advance from the knowledge of oneself (the soul) to the knowledge of the world, and by means of this to the original being, is so natural that it seems to resemble the logical advance of reason from premisses to conclusion. ++ Metaphysics has as the proper ob- ject of its enquiries three ideas only: God, freedom, and immortality -- so related that the second concept, when combined with the first, should lead to the third as a necessary conclusion. Any other matters with which this science may deal serve merely as a means of arriving at these ideas and of establishing their reality. It does not need the ideas for the purposes of natural science, but in order to pass beyond nature. Insight into them would render theology and morals, and, through the union of these two, likewise religion, and therewith the highest ends of our existence, entirely and exclusively dependent on the faculty of speculative reason. In a systematic representation of the ideas, the order cited, the synthetic, would be the most suitable; but in the investigation which must necessarily precede it the analytic, or reverse order, is better adapted to the purpose of com- pleting our great project, as enabling us to start from what is im- mediately given us in experience -- advancing from the doctrine of the soul, to the doctrine of the world, and thence to the knowledge of God. P 325 Whether this is due to a concealed relationship of the same kind as subsists between the logical and the trans- cendental procedure, is one of the questions that await answer P 326 in the course of these enquiries. Indeed, we have already, in a preliminary manner, obtained an answer to the question, since in treating of the transcendental concepts of reason which, in philosophical theory, are commonly confused with others, and not properly distinguished even from concepts of understanding, we have been able to rescue them from their ambiguous position, to determine their origin, and at the same time, in so doing, to fix their precise number (to which we can never add), presenting them in a systematic connec- tion, and so marking out and enclosing a special field for pure reason. P 327 THE TRANSCENDENTAL DIALECTIC BOOK II THE DIALECTICAL INFERENCES OF PURE REASON ALTHOUGH a purely transcendental idea is, in accordance with the original laws of reason, a quite necessary product of reason, its object, it may yet be said, is something of which we have no concept. For in respect of an object which is adequate to the demands of reason, it is not, in fact, possible that we should ever be able to form a concept of the under- standing, that is, a concept that allows of being exhibited and intuited in a possible experience. But we should be better advised and less likely to be misunderstood if we said that although we cannot have any knowledge of the object which corresponds to an idea, we yet have a problematic concept of it. The transcendental (subjective) reality of the pure concepts of reason depends on our having been led to such ideas by a necessary syllogism. There will therefore be syllogisms which contain no empirical premisses, and by means of which we conclude from something which we know to something else of which we have no concept, and to which, owing to an inevitable illusion, we yet ascribe objective reality. These conclusions are, then, rather to be called pseudo-rational than rational, although in view of their origin they may well lay claim to the latter title, since they are not fictitious and have not arisen fortuitously, but have sprung from the very nature of reason. They are sophistications not of men but of pure reason itself. Even the wisest of men cannot free himself from them. After long effort he perhaps succeeds in guarding himself against P 328 actual error; but he will never be able to free himself from the illusion, which unceasingly mocks and torments him. There are, then, only three kinds of dialectical syllogisms -- just so many as there are ideas in which their conclusions result. In the first kind of syllogism I conclude from the transcendental concept of the subject, which contains nothing manifold, the absolute unity of this subject itself, of which, however, even in so doing, I possess no concept whatsoever. This dialectical inference I shall entitle the transcendental paralogism. The second kind of pseudo-rational inference is directed to the transcendental concept of the absolute totality of the series of conditions for any given appearance. From the fact that my concept of the unconditioned synthetic unity of the series, as thought in a certain way, is always self-contradictory, I conclude that there is really a unity of the opposite kind, although of it also I have no concept. The position of reason in these dialectical inferences I shall entitle the antinomy of pure reason. Finally, in the third kind of pseudo-rational inference, from the totality of the conditions under which objects in general, in so far as they can be given me, have to be thought, I conclude to the absolute synthetic unity of all conditions of the possibility of things in general, i.e. from things which I do not know through the merely transcendental concept of them I infer an ens entium, which I know even less through any transcendental concept, and of the unconditioned necessity of which I can form no concept whatsoever. This dialectical syllogism I shall entitle the ideal of pure reason. SECOND BOOK OF THE TRANSCENDENTAL DIALECTIC CHAPTER I THE PARALOGISMS OF PURE REASON A logical paralogism is a syllogism which is fallacious in form, be its content what it may. A transcendental paralogism is one in which there is a transcendental ground, constraining us to draw a formally invalid conclusion. Such a fallacy is P 329 therefore grounded in the nature of human reason, and gives rise to an illusion which cannot be avoided, although it may, indeed, be rendered harmless. We now come to a concept which was not included in the general list of transcendental concepts but which must yet be counted as belonging to that list, without, however, in the least altering it or declaring it defective. This is the concept or, if the term be preferred, the judgment, 'I think'. As is easily seen, this is the vehicle of all concepts, and therefore also of tran- scendental concepts, and so is always included in the conceiv- ing of these latter, and is itself transcendental. But it can have no special designation, because it serves only to introduce all our thought, as belonging to consciousness. Meanwhile, however free it be of empirical admixture (impressions of the senses), it yet enables us to distinguish, through the nature of our faculty of representation, two kinds of objects. 'I', as think- ing, am an object of inner sense, and am called 'soul'. That which is an object of the outer senses is called 'body'. Accord- ingly the expression 'I', as a thinking being, signifies the object of that psychology which may be entitled the 'rational doctrine of the soul', inasmuch as I am not here seeking to learn in regard to the soul anything more than can be in- ferred, independently of all experience (which determines me more specifically and in concreto), from this concept 'I', so far as it is present in all thought. The rational doctrine of the soul is really an undertaking of this kind; for if in this science the least empirical element of my thought, or any special perception of my inner state, were intermingled with the grounds of knowledge, it would no longer be a rational but an empirical doctrine of the soul. Thus we have here what professes to be a science built upon the single proposition 'I think'. Whether this claim be well or ill grounded, we may, very fittingly, in accordance with the nature of a transcendental philosophy, proceed to investi- gate. The reader must not object that this proposition, which expresses the perception of the self, contains an inner experi- ence, and that the rational doctrine of the soul founded upon it is never pure and is therefore to that extent based upon an empirical principle. For this inner perception is nothing more than the mere apperception 'I think', by which even tran- P 330 scendental concepts are made possible; what we assert in them is 'I think substance, cause', etc. For inner experience in general and its possibility, or perception in general and its relation to other perception, in which no special distinction or empirical determination is given, is not to be regarded as empirical knowledge but as knowledge of the empirical in general, and has to be reckoned with the investigation of the possibility of any and every experience, which is certainly a transcendental enquiry. The least object of perception (for ex- ample, even pleasure or displeasure), if added to the universal representation of self-consciousness, would at once transform rational psychology into empirical psychology. 'I think' is, therefore, the sole text of rational psychology, and from it the whole of its teaching has to be developed. Obviously, if this thought is to be related to an object (myself), it can contain none but transcendental predicates of that ob- ject, since the least empirical predicate would destroy the rational purity of the science and its independence of all experience. All that is here required is that we follow the guidance of the categories, with this difference only, that since our starting- point is a given thing, 'I' as thinking being, we begin with the category of substance, whereby a thing in itself is represented, and so proceed backwards through the series, without, how- ever, otherwise changing the order adopted in the table of the categories. The topic of the rational doctrine of the soul, from which everything else that it contains must be derived, is accordingly as follows: I The soul is substance. 2 As regards its quality it is simple. 3 As regards the different times in which it exists, it is numerically identical, that is, unity (not plurality). P 331 4 It is in relation to possible objects in space. All the concepts of pure psychology arise from these ele- ments, simply by way of combination, without admission of any other principle. This substance, merely as object of inner sense, gives the concept of immateriality; as simple substance, that of incorruptibility; its identity, as intellectual substance, personality; all these three together, spirituality; while the relation to objects in space gives commercium with bodies, and so leads us to represent the thinking substance as the principle of life in matter, that is, as soul (anima), and as the ground of animality. This last, in turn, as limited by spiritu- ality, gives the concept of immortality. In connection with these concepts we have four paralogisms of a transcendental psychology -- which is wrongly regarded as a science of pure reason -- concerning the nature of our thinking being. We can assign no other basis for this teaching than the simple, and in itself completely empty, representation 'I'; and we cannot even say that this is a concept, but only that it is a bare consciousness which accompanies all concepts. Through this I or he or it (the thing) which thinks, nothing further is repre- sented than a transcendental subject of the thoughts = X. It is known only through the thoughts which are its predicates, and of it, apart from them, we cannot have any concept what- soever, but can only revolve in a perpetual circle, since any judgment upon it has always already made use of its repre- sentation. ++ The reader who has difficulty in guessing the psychological meaning of these expressions taken in their transcendental abstract- ness, and in discovering why the last-mentioned attribute of the soul belongs to the category of existence, will find the terms sufficiently explained and justified in the sequel. Further, I have to apologise for the Latin expressions which, contrary to good taste, have usurped the place of their German equivalents, both in this section and in the work as a whole. My excuse is that I have preferred to lose somewhat in elegance of language rather than to increase, in however minor a degree, the reader's difficulties. P 331 And the reason why this inconvenience is insepar- ably bound up with it, is that consciousness in itself is not a representation distinguishing a particular object, but a form P 332 of representation in general, that is, of representation in so far as it is to be entitled knowledge; for it is only of knowledge that I can say that I am thereby thinking something. It must, on first thoughts, seem strange that the condition under which alone I think, and which is therefore merely a pro- perty of myself as subject, should likewise be valid for every- thing that thinks, and that on a seemingly empirical proposition we can presume to base an apodeictic and universal judgment, namely, that that which thinks must, in all cases, be constituted as the voice of self-consciousness declares it to be constituted in my own self. The reason is this: we must assign to things, necessarily and a priori, all the properties that constitute the conditions under which alone we think them. Now I cannot have any representation whatsoever of a thinking being, through any outer experience, but only through self-conscious- ness. Objects of this kind are, therefore, nothing more than the transference of this consciousness of mine to other things, which in this way alone can be represented as thinking beings. The proposition, 'I think', is, however, here taken only prob- lematically, not in so far as it may contain perception of an existent (the Cartesian cogito, ergo sum), but in respect of its mere possibility, in order to see what properties applicable to its subject (be that subject actually existent or not) may follow from so simple a proposition. If our knowledge of thinking beings in general, by means of pure reason, were based on more than the cogito, if we likewise made use of observations concerning the play of our thoughts and the natural laws of the thinking self to be de- rived from these thoughts, there would arise an empirical psy- chology, which would be a kind of physiology of inner sense, capable perhaps of explaining the appearances of inner sense, but never of revealing such properties as do not in any way belong to possible experience (e.g. the properties of the simple), nor of yielding any apodeictic knowledge regarding the nature of thinking beings in general. It would not, therefore, be a rational psychology. Since the proposition 'I think' (taken problematically) con- tains the form of each and every judgment of the understand- ing and accompanies all categories as their vehicle, it is evi- dent that the inferences from it admit only of a transcendental P 333 employment of the understanding. And since this employment excludes any admixture of experience, we cannot, after what has been shown above, entertain any favourable anticipations in regard to its methods of procedure. We therefore propose to follow it, with a critical eye, through all the predicaments of pure psychology. THE PARALOGISMS OF PURE REASON FIRST PARALOGISM: OF SUBSTANTIALITY That, the representation of which is the absolute subject of our judgments and cannot therefore be employed as deter- mination of another thing, is substance. I, as a thinking being, am the absolute subject of all my possible judgments, and this representation of myself cannot be employed as predicate of any other thing. Therefore I, as thinking being (soul), am substance. Critique of the First Paralogism of Pure Psychology In the analytical part of the Transcendental Logic we have shown that pure categories, and among them that of sub- stance, have in themselves no objective meaning, save in so far as they rest upon an intuition, and are applied to the manifold of this intuition, as functions of synthetic unity. In the ab- sence of this manifold, they are merely functions of a judg- ment, without content. I can say of any and every thing that it is substance, in the sense that I distinguish it from mere predicates and determinations of things. Now in all our thought the 'I' is the subject, in which thoughts inhere only as determinations; and this 'I' cannot be employed as the determination of another thing. Everyone must, therefore, necessarily regard himself as substance, and thought as [con- sisting] only [in] accidents of his being, determinations of his state. But what use am I to make of this concept of a substance? That I, as a thinking being, persist for myself, and do not in any natural manner either arise or perish, can by no means be P 334 deduced from it. Yet there is no other use to which I can put the concept of the substantiality of my thinking subject, and apart from such use I could very well dispense with it. So far from being able to deduce these properties merely from the pure category of substance, we must, on the contrary, take our start from the permanence of an object given in ex- perience as permanent. For only to such an object can the concept of substance be applied in a manner that is empiric- ally serviceable. In the above proposition, however, we have not taken as our basis any experience; the inference is merely from the concept of the relation which all thought has to the 'I' as the common subject in which it inheres. Nor should we, in resting it upon experience, be able, by any sure observation, to demonstrate such permanence. The 'I' is indeed in all thoughts, but there is not in this representation the least trace of intui- tion, distinguishing the 'I' from other objects of intuition. Thus we can indeed perceive that this representation is invari- ably present in all thought, but not that it is an abiding and continuing intuition, wherein the thoughts, as being transitory, give place to one another. It follows, therefore, that the first syllogism of tran- scendental psychology, when it puts forward the constant logi- cal subject of thought as being knowledge of the real subject in which the thought inheres, is palming off upon us what is a mere pretence of new insight. We do not have, and cannot have, any knowledge whatsoever of any such subject. Con- sciousness is, indeed, that which alone makes all representa- tions to be thoughts, and in it, therefore, as the transcendental subject, all our perceptions must be found; but beyond this logical meaning of the 'I', we have no knowledge of the sub- ject in itself, which as substratum underlies this 'I', as it does all thoughts. The proposition, 'The soul is substance', may, however, quite well be allowed to stand, if only it be recog- nised that this concept [of the soul as substance] does not carry us a single step further, and so cannot yield us any of the usual deductions of the pseudo-rational doctrine of the soul, as, for instance, the everlasting duration of the human soul in all changes and even in death -- if, that is to say, we recognise that this concept signifies a substance only in idea, not in reality. P 335 SECOND PARALOGISM: OF SIMPLICITY That, the action of which can never be regarded as the concurrence of several things acting, is simple. Now the soul, or the thinking 'I', is such a being. There- fore, etc. Critique of the Second Paralogism of Transcendental Psychology This is the Achilles of all dialectical inferences in the pure doctrine of the soul. It is no mere sophistical play, contrived by a dogmatist in order to impart to his assertions a super- ficial plausibility, but an inference which appears to with- stand even the keenest scrutiny and the most scrupulously exact investigation. It is as follows. Every composite substance is an aggregate of several sub- stances, and the action of a composite, or whatever inheres in it as thus composite, is an aggregate of several actions or acci- dents, distributed among the plurality of the substances. Now an effect which arises from the concurrence of many acting substances is indeed possible, namely, when this effect is external only (as, for instance, the motion of a body is the combined motion of all its parts). But with thoughts, as in- ternal accidents belonging to a thinking being, it is different. For suppose it be the composite that thinks: then every part of it would be a part of the thought, and only all of them taken together would contain the whole thought. But this cannot con- sistently be maintained. For representations (for instance, the single words of a verse), distributed among different beings, never make up a whole thought (a verse), and it is therefore impossible that a thought should inhere in what is essentially composite. It is therefore possible only in a single substance, which, not being an aggregate of many, is absolutely simple. ++ This proof can very easily be given the customary syllogistic correctness of form. But for my purpose it is sufficient to have made clear, though in popular fashion, the bare ground of proof. P 335 The so-called nervus probandi of this argument lies in the proposition, that if a multiplicity of representations are to form a single representation, they must be contained in the P 336 absolute unity of the thinking subject. No one, however, can prove this proposition from concepts. For how should he set about the task of achiev- ing this? The proposition, 'A thought can only be the effect of the absolute unity of the thinking being', cannot be treated as analytic. For the unity of the thought, which consists of many representations, is collective, and as far as mere con- cepts can show, may relate just as well to the collective unity of different substances acting together (as the motion of a body is the composite motion of all its parts) as to the absolute unity of the subject. Consequently, the necessity of presuppos- ing, in the case of a composite thought, a simple substance, cannot be demonstrated in accordance with the principle of identity. Nor will anyone venture to assert that the proposi- tion allows of being known synthetically and completely a priori from mere concepts -- not, at least, if he understands the ground of the possibility of a priori synthetic propositions, as above explained. It is likewise impossible to derive this necessary unity of the subject, as a condition of the possibility of every thought, from experience. For experience yields us no knowledge of necessity, apart even from the fact that the concept of absolute unity is quite outside its province. Whence then are we to derive this proposition upon which the whole psychological syllogism depends? It is obvious that, if I wish to represent to myself a think- ing being, I must put myself in his place, and thus substitute, as it were, my own subject for the object I am seeking to consider (which does not occur in any other kind of investiga- tion), and that we demand the absolute unity of the subject of a thought, only because otherwise we could not say, 'I think' (the manifold in a representation). For although the whole of the thought could be divided and distributed among many subjects, the subjective 'I' can never be thus divided and distributed, and it is this 'I' that we presuppose in all thinking. Here again, as in the former paralogism, the formal pro- position of apperception, 'I think', remains the sole ground to which rational psychology can appeal when it thus ventures upon an extension of its knowledge. This proposition, how- ever, is not itself an experience, but the form of apperception, P 337 which belongs to and precedes every experience; and as such it must always be taken only in relation to some possible knowledge, as a merely subjective condition of that know- ledge. We have no right to transform it into a condition of the possibility of a knowledge of objects, that is, into a concept of thinking being in general. For we are not in a position to re- present such being to ourselves save by putting ourselves, with the formula of our consciousness, in the place of every other intelligent being. Nor is the simplicity of myself (as soul) really inferred from the proposition, 'I think'; it is already involved in every thought. The proposition, 'I am simple', must be regarded as an immediate expression of apperception, just as what is referred to as the Cartesian inference, cogito, ergo sum, is really a tautology, since the cogito (sum cogitans) asserts my existence immediately. 'I am simple' means nothing more than that this representation, 'I', does not contain in itself the least manifoldness and that it is absolute (although merely logical) unity. Thus the renowned psychological proof is founded merely on the indivisible unity of a representation, which governs only the verb in its relation to a person. It is obvious that in attaching 'I' to our thoughts we designate the subject of in- herence only transcendentally, without noting in it any quality whatsoever -- in fact, without knowing anything of it either by direct acquaintance or otherwise. It means a something in general (transcendental subject), the representation of which must, no doubt, be simple, if only for the reason that there is nothing determinate in it. Nothing, indeed, can be represented that is simpler than that which is represented through the concept of a mere something. But the simplicity of the repre- sentation of a subject is not eo ipso knowledge of the simplicity of the subject itself, for we abstract altogether from its pro- perties when we designate it solely by the entirely empty expression 'I', an expression which I can apply to every thinking subject. This much, then, is certain, that through the 'I', I always P 338 entertain the thought of an absolute, but logical, unity of the subject (simplicity). It does not, however, follow that I thereby know the actual simplicity of my subject. The proposition, 'I am substance', signifies, as we have found, nothing but the pure category, of which I can make no use (empirically) in concreto; and I may therefore legitimately say: 'I am a simple substance', that is, a substance the representation of which never contains a synthesis of the manifold. But this concept, as also the proposition, tells us nothing whatsoever in regard to my- self as an object of experience, since the concept of substance is itself used only as a function of synthesis, without any under- lying intuition, and therefore without an object. It concerns only the condition of our knowledge; it does not apply to any assignable object. We will test the supposed usefulness of the proposition by an experiment. Everyone must admit that the assertion of the simple nature of the soul is of value only in so far as I can thereby dis- tinguish this subject from all matter, and so can exempt it from the dissolution to which matter is always liable. This is indeed, strictly speaking, the only use for which the above proposition is intended, and is therefore generally expressed as 'The soul is not corporeal'. If, then, I can show that, although we allow full objective validity -- the validity ap- propriate to a judgment of pure reason derived solely from pure categories -- to this cardinal proposition of the rational doctrine of the soul (that is, that everything which thinks is a simple substance), we still cannot make the least use of this proposition in regard to the question of its dissimilarity from or relation to matter, this will be the same as if I had relegated this supposed psychological insight to the field of mere ideas, without any real objective use. In the Transcendental Aesthetic we have proved, beyond all question, that bodies are mere appearances of our outer sense and not things in themselves. We are therefore justified in saying that our thinking subject is not corporeal; in other words, that, inasmuch as it is represented by us as object of inner sense, it cannot, in so far as it thinks, be an object of outer sense, that is, an appearance in space. This is equivalent to saying that thinking beings, as such, can never be found by us among outer appearances, and that their thoughts, con- P 339 sciousness, desires, etc. , cannot be outwardly intuited. All these belong to inner sense. This argument does, in fact, seem to be so natural and so popular that even the commonest under- standing appears to have always relied upon it, and thus al- ready, from the earliest times, to have regarded souls as quite different entities from their bodies. But although extension, impenetrability, cohesion, and motion -- in short, everything which outer senses can give us -- neither are nor contain thoughts, feeling, desire, or resolu- tion, these never being objects of outer intuition, nevertheless the something which underlies the outer appearances and which so affects our sense that it obtains the representations of space, matter, shape, etc. , may yet, when viewed as nou- menon (or better, as transcendental object), be at the same time the subject of our thoughts. That the mode in which our outer sense is thereby affected gives us no intuition of re- presentations, will, etc. , but only of space and its determina- tions, proves nothing to the contrary. For this something is not extended, nor is it impenetrable or composite, since all these predicates concern only sensibility and its intuition, in so far as we are affected by certain (to us otherwise unknown) objects. By such statements we are not, however, enabled to know what kind of an object it is, but only to recognise that if it be considered in itself, and therefore apart from any relation to the outer senses, these predicates of outer appear- ances cannot be assigned to it. On the other hand, the predi- cates of inner sense, representations and thought, are not inconsistent with its nature. Accordingly, even granting the human soul to be simple in nature, such simplicity by no means suffices to distinguish it from matter, in respect of the substratum of the latter -- if, that is to say, we consider matter, as indeed we ought to, as mere appearance. If matter were a thing in itself, it would, as a composite being, be entirely different from the soul, as a simple being. But matter is mere outer appearance, the substratum of which can- not be known through any predicate that we can assign to it. I can therefore very well admit the possibility that it is in itself simple, although owing to the manner in which it affects our senses it produces in us the intuition of the extended and so of P 340 the composite. I may further assume that the substance which in relation to our outer sense possesses extension is in itself the possessor of thoughts, and that these thoughts can by means of its own inner sense be consciously represented. In this way, what in one relation is entitled corporeal would in another relation be at the same time a thinking being, whose thoughts we cannot intuit, though we can indeed intuit their signs in the [field of] appearance. Accordingly, the thesis that only souls (as particular kinds of substances) think, would have to be given up; and we should have to fall back on the common expression that men think, that is, that the very same being which, as outer appearance, is extended, is (in itself) internally a subject, and is not composite, but is simple and thinks. But, without committing ourselves in regard to such hypo- theses, we can make this general remark. If I understand by soul a thinking being in itself, the question whether or not it is the same in kind as matter -- matter not being a thing in itself, but merely a species of representations in us -- is by its very terms illegitimate. For it is obvious that a thing in itself is of a different nature from the determinations which constitute only its state. If, on the other hand, we compare the thinking 'I' not with matter but with the intelligible that lies at the basis of the outer appearance which we call matter, we have no knowledge whatsoever of the intelligible, and therefore are in no position to say that the soul is in any inward respect different from it. The simple consciousness is not, therefore, knowledge of the simple nature of the self as subject, such as might enable us to distinguish it from matter, as from a composite being. If, therefore, in the only case in which this concept can be of service, namely, in the comparison of myself with objects of outer experience, it does not suffice for determining what is specific and distinctive in the nature of the self, then though we may still profess to know that the thinking 'I', the soul (a name for the transcendental object of inner sense), is simple, such a way of speaking has no sort of application to real ob- jects, and therefore cannot in the least extend our knowledge. P 341 Thus the whole of rational psychology is involved in the collapse of its main support. Here as little as elsewhere can we hope to extend our knowledge through mere concepts -- still less by means of the merely subjective form of all our concepts, consciousness -- in the absence of any relation to possible ex- perience. For [as we have thus found], even the fundamental concept of a simple nature is such that it can never be met with in any experience, and such, therefore, that there is no way of attaining to it, as an objectively valid concept. THIRD PARALOGISM: OF PERSONALITY That which is conscious of the numerical identity of itself at different times is in so far a person. Now the soul is conscious, etc. Therefore it is a person. Critique of the Third Paralogism of Transcendental Psychology If I want to know through experience, the numerical iden- tity of an external object, I shall pay heed to that permanent element in the appearance to which as subject everything else is related as determination, and note its identity throughout the time in which the determinations change. Now I am an object of inner sense, and all time is merely the form of inner sense. Consequently, I refer each and all of my successive determina- tions to the numerically identical self, and do so throughout time, that is, in the form of the inner intuition of myself. This being so, the personality of the soul has to be regarded not as inferred but as a completely identical proposition of self-con- sciousness in time; and this, indeed, is why it is valid a priori. For it really says nothing more than that in the whole time in which I am conscious of myself, I am conscious of this time as belonging to the unity of myself; and it comes to the same whether I say that this whole time is in me, as individual unity, or that I am to be found as numerically identical in all this time. In my own consciousness, therefore, identity of person is unfailingly met with. But if I view myself from the standpoint of another person (as object of his outer intuition), it is this P 342 outer observer who first represents me in time, for in the apper- ception time is represented, strictly speaking, only in me. Al- though he admits, therefore, the 'I', which accompanies, and indeed with complete identity, all representations at all times in my consciousness, he will draw no inference from this to the objective permanence of myself. For just as the time in which the observer sets me is not the time of my own but of his sensi- bility, so the identity which is necessarily bound up with my consciousness is not therefore bound up with his, that is, with the consciousness which contains the outer intuition of my subject. The identity of the consciousness of myself at different times is therefore only a formal condition of my thoughts and their coherence, and in no way proves the numerical identity of my subject. Despite the logical identity of the 'I', such a change may have occurred in it as does not allow of the retention of its identity, and yet we may ascribe to it the same-sounding 'I', which in every different state, even in one involving change of the [thinking] subject, might still retain the thought of the preceding subject and so hand it over to the subsequent subject. Although the dictum of certain ancient schools, that every- thing in the world is in a flux and nothing is permanent and abiding, cannot be reconciled with the admission of sub- stances, it is not refuted by the unity of self-consciousness. ++ An elastic ball which impinges on another similar ball in a straight line communicates to the latter its whole motion, and there- fore its whole state (that is, if we take account only of the positions in space). If, then, in analogy with such bodies, we postulate sub- stances such that the one communicates to the other representations together with the consciousness of them, we can conceive a whole series of substances of which the first transmits its state together with its consciousness to the second, the second its own state with that of the preceding substance to the third, and this in turn the states of all the preceding substances together with its own conscious- ness and with their consciousness to another. The last substance would then be conscious of all the states of the previously changed substances, as being its own states, because they would have been transferred to it together with the consciousness of them. And yet it would not have been one and the same person in all these states. P 343 For we are unable from our own consciousness to determine whether, as souls, we are permanent or not. Since we reckon as belonging to our identical self only that of which we are conscious, we must necessarily judge that we are one and the same throughout the whole time of which we are conscious. We cannot, however, claim that this judgment would be valid from the standpoint of an outside observer. For since the only permanent appearance which we encounter in the soul is the representation 'I' that accompanies and connects them all, we are unable to prove that this 'I', a mere thought, may not be in the same state of flux as the other thoughts which, by means of it, are linked up with one another. It is indeed strange that personality, and its presupposi- tion, permanence, and therefore the substantiality of the soul, should have to be proved at this stage and not earlier. For could we have presupposed these latter [permanence and sub- stantiality], there would follow, not indeed the continuance of consciousness, yet at least the possibility of a continuing con- sciousness in an abiding subject, and that is already sufficient for personality. For personality does not itself at once cease because its activity is for a time interrupted. This permanence, however, is in no way given prior to that numerical identity of our self which we infer from identical apperception, but on the contrary is inferred first from the numerical identity. (If the argument proceeded aright, the concept of substance, which is applicable only empirically, would first be brought in after such proof of numerical identity. ) Now, since this identity of person [presupposing, as it does, numerical iden- tity] in nowise follows from the identity of the 'I' in the con- sciousness of all the time in which I know myself, we could not, earlier in the argument, have founded upon it the sub- stantiality of the soul. Meanwhile we may still retain the concept of personality just as we have retained the concept of substance and of the simple -- in so far as it is merely transcendental, that is, con- cerns the unity of the subject, otherwise unknown to us, in the determinations of which there is a thoroughgoing connection through apperception. Taken in this way, the con- cept is necessary for practical employment and is sufficient for P 344 such use; but we can never parade it as an extension of our self-knowledge through pure reason, and as exhibiting to us from the mere concept of the identical self an unbroken con- tinuance of the subject. For this concept revolves perpetually in a circle, and does not help us in respect to any question which aims at synthetic knowledge. What matter may be as a thing in itself (transcendental object) is completely unknown to us, though, owing to its being represented as something ex- ternal, its permanence as appearance can indeed be observed. But if I want to observe the mere 'I' in the change of all repre- sentations, I have no other correlatum to use in my comparisons except again myself, with the universal conditions of my con- sciousness. Consequently, I can give none but tautological answers to all questions, in that I substitute my concept and its unity for the properties which belong to myself as object, and so take for granted that which the questioner has desired to know. THE FOURTH PARALOGISM: OF IDEALITY (IN REGARD TO OUTER RELATION) That, the existence of which can only be inferred as a cause of given perceptions, has a merely doubtful existence. Now all outer appearances are of such a nature that their existence is not immediately perceived, and that we can only infer them as the cause of given perceptions. Therefore the existence of all objects of the outer senses is doubtful. This uncertainty I entitle the ideality of outer appear- ances, and the doctrine of this ideality is called idealism, as distinguished from the counter-assertion of a possible certainty in regard to objects of outer sense, which is called dualism. Critique of the Fourth Paralogism of Transcendental Psychology Let us first examine the premisses. We are justified, [it is argued], in maintaining that only what is in ourselves can be perceived immediately, and that my own existence is the sole object of a mere perception. The existence, therefore, of an actual object outside me (if this word 'me' be taken in the P 345 intellectual [not in the empirical] sense) is never given directly in perception. Perception is a modification of inner sense, and the existence of the outer object can be added to it only in thought, as being its outer cause, and accordingly as being inferred. For the same reason, Descartes was justified in limiting all perception, in the narrowest sense of that term, to the proposition, 'I, as a thinking being, exist. ' Obviously, since what is without is not in me, I cannot encounter it in my apperception, nor therefore in any perception, which, properly regarded, is merely the determination of apperception. I am not, therefore, in a position to perceive external things, but can only infer their existence from my inner perception, taking the inner perception as the effect of which something external is the proximate cause. Now the inference from a given effect to a determinate cause is always uncertain, since the effect may be due to more than one cause. Accordingly, as regards the relation of the perception to its cause, it always remains doubtful whether the cause be internal or external; whether, that is to say, all the so-called outer perceptions are not a mere play of our inner sense, or whether they stand in relation to actual external objects as their cause. At all events, the existence of the latter is only inferred, and is open to all the dangers of inference, whereas the object of inner sense (I myself with all my representations) is immediately perceived, and its existence does not allow of being doubted. The term 'idealist' is not, therefore, to be understood as applying to those who deny the existence of external objects of the senses, but only to those who do not admit that their existence is known through immediate perception, and who therefore conclude that we can never, by way of any possible experience, be completely certain as to their reality. Before exhibiting our paralogism in all its deceptive illusoriness, I have first to remark that we must necessarily distinguish two types of idealism, the transcendental and the empirical. By transcendental idealism I mean the doctrine that appearances are to be regarded as being, one and all, representations only, not things in themselves, and that time and space are therefore only sensible forms of our intuition, not determinations given as existing by themselves, nor con- ditions of objects viewed as things in themselves. To this ideal- P 346 ism there is opposed a transcendental realism which regards time and space as something given in themselves, independ- ently of our sensibility. The transcendental realist thus inter- prets outer appearances (their reality being taken as granted) as things-in-themselves, which exist independently of us and of our sensibility, and which are therefore outside us -- the phrase 'outside us' being interpreted in conformity with pure con- cepts of understanding. It is, in fact, this transcendental realist who afterwards plays the part of empirical idealist. After wrongly supposing that objects of the senses, if they are to be external, must have an existence by themselves, and inde- pendently of the senses, he finds that, judged from this point of view, all our sensuous representations are inadequate to establish their reality. The transcendental idealist, on the other hand, may be an empirical realist or, as he is called, a dualist; that is, he may admit the existence of matter without going outside his mere self-consciousness, or assuming anything more than the cer- tainty of his representations, that is, the cogito, ergo sum. For he considers this matter and even its inner possibility to be appearance merely; and appearance, if separated from our sensibility, is nothing. Matter is with him, therefore, only a species of representations (intuition), which are called external, not as standing in relation to objects in themselves external, but because they relate perceptions to the space in which all things are external to one another, while yet the space itself is in us. From the start, we have declared ourselves in favour of this transcendental idealism; and our doctrine thus removes all difficulty in the way of accepting the existence of matter on the unaided testimony of our mere self-consciousness, or of declaring it to be thereby proved in the same manner as the existence of myself as a thinking being is proved. There can be no question that I am conscious of my representations; these representations and I myself, who have the representa- tions, therefore exist. External objects (bodies), however, are mere appearances, and are therefore nothing but a species of my representations, the objects of which are something only through these representations. Apart from them they are nothing. Thus external things exist as well as I myself, and P 347 both indeed, upon the immediate witness of my self-conscious- ness. The only difference is that the representation of myself, as the thinking subject, belongs to inner sense only, while the representations which mark extended beings belong also to outer sense. In order to arrive at the reality of outer objects I have just as little need to resort to inference as I have in re- gard to the reality of the object of my inner sense, that is, in regard to the reality of my thoughts. For in both cases alike the objects are nothing but representations, the immediate per- ception (consciousness) of which is at the same time a suffi- cient proof of their reality. The transcendental idealist is, therefore, an empirical real- ist, and allows to matter, as appearance, a reality which does not permit of being inferred, but is immediately perceived. Transcendental realism, on the other hand, inevitably falls into difficulties, and finds itself obliged to give way to em- pirical idealism, in that it regards the objects of outer sense as something distinct from the senses themselves, treating mere appearances as self-subsistent beings, existing outside us. On such a view as this, however clearly we may be conscious of our representation of these things, it is still far from certain that, if the representation exists, there exists also the object corresponding to it. In our system, on the other hand, these external things, namely matter, are in all their configurations and alterations nothing but mere appearances, that is, repre- sentations in us, of the reality of which we are immediately conscious. Since, so far as I know, all psychologists who adopt em- pirical idealism are transcendental realists, they have cer- tainly proceeded quite consistently in ascribing great import- ance to empirical idealism, as one of the problems in regard to which the human mind is quite at a loss how to proceed. For if we regard outer appearances as representations produced in us by their objects, and if these objects be things existing in themselves outside us, it is indeed impossible to see how we can come to know the existence of the objects otherwise than by in- ference from the effect to the cause; and this being so, it must always remain doubtful whether the cause in question be in us or outside us. We can indeed admit that something, which P 348 may be (in the transcendental sense) outside us, is the cause of our outer intuitions, but this is not the object of which we are thinking in the representations of matter and of corporeal things; for these are merely appearances, that is, mere kinds of representation, which are never to be met with save in us, and the reality of which depends on immediate consciousness, just as does the consciousness of my own thoughts. The transcend- ental object is equally unknown in respect to inner and to outer intuition. But it is not of this that we are here speaking, but of the empirical object, which is called an external object if it is represented in space, and an inner object if it is repre- sented only in its time-relations. Neither space nor time, how- ever, is to be found save in us. The expression 'outside us' is thus unavoidably ambiguous in meaning, sometimes signifying what as thing in itself exists apart from us, and sometimes what belongs solely to outer appearance. In order, therefore, to make this concept, in the latter sense -- the sense in which the psychological question as to the reality of our outer intuition has to be understood -- quite unambiguous, we shall distinguish empirically external objects from those which may be said to be external in the transcendental sense, by explicitly entitling the former 'things which are to be found in space'. Space and time are indeed a priori representations, which dwell in us as forms of our sensible intuition, before any real object, determining our sense through sensation, has enabled us to represent the object under those sensible relations. But the material or real element, the something which is to be intuited in space, necessarily presupposes perception. Per- ception exhibits the reality of something in space; and in the absence of perception no power of imagination can invent and produce that something. It is sensation, therefore, that indicates a reality in space or in time, according as it is related to the one or to the other mode of sensible intuition. (Once sensation is given -- if referred to an object in general, though not as deter- mining that object, it is entitled perception -- thanks to its mani- foldness we can picture in imagination many objects which have no empirical place in space or time outside the imagination. ) P 349 This admits of no doubt; whether we take pleasure and pain, or the sensations of the outer senses, colours, heat, etc. , per- ception is that whereby the material required to enable us to think objects of sensible intuition must first be given. This perception, therefore (to consider, for the moment, only outer intuitions), represents something real in space. For, in the first place, while space is the representation of a mere possibility of coexistence, perception is the representation of a reality. Secondly, this reality is represented in outer sense, that is, in space. Thirdly, space is itself nothing but mere representation, and therefore nothing in it can count as real save only what is represented in it; and conversely, what is given in it, that is, represented through perception, is also real in it. For if it were not real, that is, immediately given through empirical intuition, it could not be pictured in imagination, since what is real in intuitions cannot be invented a priori. All outer perception, therefore, yields immediate proof of something real in space, or rather is the real itself. In this sense empirical realism is beyond question; that is, there corresponds to our outer intuitions something real in space. Space itself, with all its appearances, as representations, is, indeed, only in me, but nevertheless the real, that is, the material of all objects of outer intuition, is actually given in this space, independently of all imaginative invention. Also, it is impossible that in this space anything outside us (in the tran- scendental sense) should be given, space itself being nothing outside our sensibility. Even the most rigid idealist cannot, therefore, require a proof that the object outside us (taking 'outside' in the strict [transcendental] sense) corresponds to our perception. ++ We must give full credence to this paradoxical but correct pro- position, that there is nothing in space save what is represented in it. For space is itself nothing but representation, and whatever is in it must therefore be contained in the representation. Nothing whatso- ever is in space, save in so far as it is actually represented in it. It is a proposition which must indeed sound strange, that a thing can exist only in the representation of it, but in this case the objection falls, inasmuch as the things with which we are here concerned are not things in themselves, but appearances only, that is, representations. P 349 For if there be any such object, it could not be P 350 represented and intuited as outside us, because such repre- sentation and intuition presuppose space, and reality in space, being the reality of a mere representation, is nothing other than perception itself. The real of outer appearances is there- fore real in perception only, and can be real in no other way. From perceptions knowledge of objects can be generated, either by mere play of imagination or by way of experience; and in the process there may, no doubt, arise illusory repre- sentations to which the objects do not correspond, the decep- tion being attributable sometimes to a delusion of imagination (in dreams) and sometimes to an error of judgment in so-called sense-deception). To avoid such deceptive illusion, we have to proceed according to the rule: Whatever is connected with a perception according to empirical laws, is actual. But such deception, as well as the provision against it, affects idealism quite as much as dualism, inasmuch as we are concerned only with the form of experience. Empirical idealism, and its mis- taken questionings as to the objective reality of our outer perceptions, is already sufficiently refuted, when it has been shown that outer perception yields immediate proof of some- thing actual in space, and that this space, although in itself only a mere form of representations, has objective reality in relation to all outer appearances, which also are nothing else than mere representations; and when it has likewise been shown that in the absence of perception even imagining and dreaming are not possible, and that our outer senses, as regards the data from which experience can arise, have therefore their actual corresponding objects in space. The dogmatic idealist would be one who denies the exist- ence of matter, the sceptical idealist one who doubts its exist- ence, because holding it to be incapable of proof. The former must base his view on supposed contradictions in the pos- sibility of there being such a thing as matter at all -- a view with which we have not yet been called upon to deal. The following section on dialectical inferences, which represents reason as in strife with itself in regard to the concepts which it makes for itself of the possibility of what belongs to the P 351 connection of experience, will remove this difficulty. The sceptical idealist, however, who merely challenges the ground of our assertion and denounces as insufficiently justified our conviction of the existence of matter, which we thought to base on immediate perception, is a benefactor of human reason in so far as he compels us, even in the smallest ad- vances of ordinary experience, to keep on the watch, lest we consider as a well-earned possession what we perhaps obtain only illegitimately. We are now in a position to appreciate the value of these idealist objections. Unless we mean to contradict ourselves in our commonest assertions, they drive us by main force to view all our perceptions, whether we call them inner or outer, as a consciousness only of what is dependent on our sensibility. They also compel us to view the outer objects of these perceptions not as things in themselves, but only as representations, of which, as of every other repre- sentation, we can become immediately conscious, and which are entitled outer because they depend on what we call 'outer sense', whose intuition is space. Space itself, however, is noth- ing but an inner mode of representation in which certain perceptions are connected with one another. If we treat outer objects as things in themselves, it is quite impossible to understand how we could arrive at a knowledge of their reality outside us, since we have to rely merely on the representation which is in us. For we cannot be sentient [of what is] outside ourselves, but only [of what is] in us, and the whole of our self-consciousness therefore yields nothing save merely our own determinations. Sceptical idealism thus constrains us to have recourse to the only refuge still open, namely, the ideality of all appearances, a doctrine which has already been established in the Transcendental Aesthetic independently of these consequences, which we could not at that stage foresee. If then we ask, whether it follows that in the doctrine of the soul dualism alone is tenable, we must answer: 'Yes, certainly; but dualism only in the empirical sense'. That is to say, in the connection of experience matter, as substance in the [field of] appearance, is really given to outer sense, just as the thinking 'I', also as substance in the [field of] appearance, is given to inner sense. Further, appearances in both fields P 352 must be connected with each other according to the rules which this category introduces into that connection of our outer as well as of our inner perceptions whereby they constitute one ex- perience. If, however, as commonly happens, we seek to extend the concept of dualism, and take it in the transcendental sense, neither it nor the two counter-alternatives -- pneumatism on the one hand, materialism on the other -- would have any sort of basis, since we should then have misapplied our concepts, taking the difference in the mode of representing objects, which, as regards what they are in themselves, still remain unknown to us, as a difference in the things themselves. Though the 'I', as represented through inner sense in time, and objects in space outside me, are specifically quite distinct appearances, they are not for that reason thought as being different things. Neither the transcendental object which underlies outer ap- pearances nor that which underlies inner intuition, is in itself either matter or a thinking being, but a ground (to us un- known) of the appearances which supply to us the empirical concept of the former as well as of the latter mode of exist- ence. If then, as this critical argument obviously compels us to do, we hold fast to the rule above established, and do not push our questions beyond the limits within which possible experi- ence can present us with its object, we shall never dream of seeking to inform ourselves about the objects of our senses as they are in themselves, that is, out of all relation to the senses. But if the psychologist takes appearances for things in them- selves, and as existing in and by themselves, then whether he be a materialist who admits into his system nothing but matter alone, or a spiritualist who admits only thinking beings (that is, beings with the form of our inner sense), or a dualist who accepts both, he will always, owing to this misunderstanding, be entangled in pseudo-rational speculations as to how that which is not a thing in itself, but only the appearance of a thing in general, can exist by itself. Consideration of Pure Psychology as a whole, in view of these Paralogisms If we compare the doctrine of the soul as the physiology of inner sense, with the doctrine of the body as a physiology of P 353 the object of the outer senses, we find that while in both much can be learnt empirically, there is yet this notable difference In the latter science much that is a priori can be synthetically known from the mere concept of an extended impenetrable being, but in the former nothing whatsoever that is a priori can be known synthetically from the concept of a thinking being. The cause is this. Although both are appearances, the appearance to outer sense has something fixed or abiding which supplies a substratum as the basis of its transitory determinations and therefore a synthetic concept, namely, that of space and of an appearance in space; whereas time, which is the sole form of our inner intuition, has nothing abiding, and therefore yields knowledge only of the change of determinations, not of any object that can be thereby deter- mined. For in what we entitle 'soul', everything is in con- tinual flux and there is nothing abiding except (if we must so express ourselves) the 'I', which is simple solely because its representation has no content, and therefore no manifold, and for this reason seems to represent, or (to use a more correct term) denote, a simple object. In order that it should be possible, by pure reason, to obtain knowledge of the nature of a thinking being in general, this 'I' would have to be an intuition which, in being presupposed in all thought (prior to all experience), might as intuition yield a priori synthetic propositions. This 'I' is, however, as little an intuition as it is a concept of any object; it is the mere form of consciousness, which can accom- pany the two kinds of representation and which is in a position to elevate them to the rank of knowledge only in so far as some- thing else is given in intuition which provides material for a representation of an object. Thus the whole of rational psy- chology, as a science surpassing all powers of human reason, proves abortive, and nothing is left for us but to study our soul under the guidance of experience, and to confine ourselves to those questions which do not go beyond the limits within which a content can be provided for them by possible inner experience. But although rational psychology cannot be used to extend knowledge, and when so employed is entirely made up of value, if it is taken as nothing more than a critical treatment P 354 of our dialectical inferences, those that arise from the common and natural reason of men. Why do we have resort to a doctrine of the soul founded exclusively on pure principles of reason? Beyond all doubt, chiefly in order to secure our thinking self against the danger of materialism. This is achieved by means of the pure con- cept of our thinking self which we have just given. For by this teaching so completely are we freed from the fear that on the removal of matter all thought, and even the very existence of thinking beings, would be destroyed, that on the contrary it is clearly shown, that if I remove the thinking subject the whole corporeal world must at once vanish: it is nothing save an appearance in the sensibility of our subject and a mode of its representations. I admit that this does not give me any further knowledge of the properties of this thinking self, nor does it enable me to determine its permanence or even that it exists independently of what we may conjecture to be the transcendental sub- stratum of outer appearances; for the latter is just as un- known to me as is the thinking self. But it is nevertheless possible that I may find cause, on other than merely specu- lative grounds, to hope for an independent and continuing existence of my thinking nature, throughout all possible change of my state. In that case much will already have been gained if, while freely confessing my own ignorance, I am yet in a position to repel the dogmatic assaults of a speculative op- ponent, and to show him that he can never know more of the nature of the self in denying the possibility of my expectations than I can know in clinging to them. Three other dialectical questions, constituting the real goal of rational psychology, are grounded on this transcend- ental illusion in our psychological concepts, and cannot be decided except by means of the above enquiries: namely (1) of the possibility of the communion of the soul with an organised body, i.e. concerning animality and the state of the soul in the life of man; (2) of the beginning of this communion, that is, of the soul in and before birth; (3) of the end of this communion, that is, of the soul in and after death (the question of im- mortality). P 355 Now I maintain that all the difficulties commonly found in these questions, and by means of which, as dogmatic objections, men seek to gain credit for a deeper insight into the nature of things than any to which the ordinary understanding can properly lay claim, rest on a mere delusion by which they hypostatise what exists merely in thought, and take it as a real object existing, in the same character, outside the thinking sub- ject. In other words, they regard extension, which is nothing but appearance, as a property of outer things that subsists even apart from our sensibility, and hold that motion is due to these things and really occurs in and by itself, apart from our senses. For matter, the communion of which with the soul arouses so much questioning, is nothing but a mere form, or a particular way of representing an unknown object by means of that intuition which is called outer sense. There may well be something outside us to which this appearance, which we call matter, corresponds; in its character of appear- ance it is not, however, outside us, but is only a thought in us, although this thought, owing to the above-mentioned outer sense, represents it as existing outside us. Matter, therefore, does not mean a kind of substance quite distinct and hetero- geneous from the object of inner sense (the soul), but only the distinctive nature of those appearances of objects -- in them- selves unknown to us -- the representations of which we call outer as compared with those which we count as belonging to inner sense, although like all other thoughts these outer repre- sentations belong only to the thinking subject. They have, indeed, this deceptive property that, representing objects in space, they detach themselves as it were from the soul and appear to hover outside it. Yet the very space in which they are intuited is nothing but a representation, and no counter- part of the same quality is to be found outside the soul. Con- sequently, the question is no longer of the communion of the soul with other known substances of a different kind outside us, but only of the connection of the representations of inner sense with the modifications of our outer sensibility -- as to how these can be so connected with each other according to settled laws that they exhibit the unity of a coherent experience. As long as we take inner and outer appearances together as mere representations in experience, we find nothing absurd P 356 and strange in the association of the two kinds of senses. But as soon as we hypostatise outer appearances and come to re- gard them not as representations but as things existing by them- selves outside us, with the same quality as that with which they exist in us, and as bringing to bear on our thinking subject the activities which they exhibit as appearances in relation to each other, then the efficient causes outside us assume a character which is irreconcilable with their effects in us. For the cause re- lates only to outer sense, the effect to inner sense -- senses which, although combined in one subject, are extremely unlike each other. In outer sense we find no other outer effects save changes of place, and no forces except mere tendencies which issue in spatial relations as their effects. Within us, on the other hand, the effects are thoughts, among which is not to be found any relation of place, motion, shape, or other spatial determina- tion, and we altogether lose the thread of the causes in the effects to which they are supposed to have given rise in inner sense. We ought, however, to bear in mind that bodies are not objects in themselves which are present to us, but a mere appearance of we know not what unknown object; that motion is not the effect of this unknown cause, but only the appearance of its influence on our senses. Neither bodies nor motions are anything outside us; both alike are mere representations in us; and it is not, therefore, the motion of matter that produces re- presentations in us; the motion itself is representation only, as also is the matter which makes itself known in this way. Thus in the end the whole difficulty which we have made for our- selves comes to this, how and why the representations of our sensibility are so interconnected that those which we entitle outer intuitions can be represented according to empirical laws as objects outside us -- a question which is not in any way bound up with the supposed difficulty of explaining the origin of our representations from quite heterogeneous efficient causes outside us. That difficulty has arisen from our taking the appearances of an unknown cause as being the cause itself outside us, a view which can result in no- thing but confusion. In the case of judgments in which a misapprehension has taken deep root through long custom, it is impossible at once to give to their correction that clarity P 357 which can be achieved in other cases where no such inevitable illusion confuses the concept. Our freeing of reason from sophistical theories can hardly, therefore, at this stage have the clearness which is necessary for its complete success. The following comments will, I think, be helpful as contri- buting towards this ultimate clarity. All objections can be divided into dogmatic, critical, and sceptical. A dogmatic objection is directed against a proposi- tion, a critical objection against the proof of a proposition. The former requires an insight into the nature of the object such that we can maintain the opposite of what the proposi- tion has alleged in regard to this object. It is therefore itself dogmatic, claiming acquaintance with the constitution of the object fuller than that of the counter-assertion. A critical objec- tion, since it leaves the validity or invalidity of the proposition unchallenged, and assails only the proof, does not presuppose fuller acquaintance with the object or oblige us to claim superior knowledge of its nature; it shows only that the asser- tion is unsupported, not that it is wrong. A sceptical objec- tion sets assertion and counter-assertion in mutual opposition to each other as having equal weight, treating each in turn as dogma and the other as the objection thereto. And the con- flict, as the being thus seemingly dogmatic on both the oppos- ing sides, is taken as showing that all judgment in regard to the object is completely null and void. Thus dogmatic and sceptical objections alike lay claim to such insight into their object as is required to assert or to deny something in regard to it. A critical objection, on the other hand, confines itself to pointing out that in the making of the assertion some- thing has been presupposed that is void and merely fictitious; and it thus overthrows the theory by removing its alleged foundation without claiming to establish anything that bears directly upon the constitution of the object. So long as we hold to the ordinary concepts of our reason with regard to the communion in which our thinking subject stands with the things outside us, we are dogmatic, looking upon them as real objects existing independently of us, in accordance with a certain transcendental dualism which does not assign these outer appearances to the subject as representations, but sets them, just as they are given us in P 358 sensible intuition, as objects outside us, completely separ- ating them from the thinking subject. This subreption is the basis of all theories in regard to the communion between soul and body. The objective reality thus assigned to ap- pearances is never brought into question. On the contrary, it is taken for granted; the theorising is merely as to the mode in which it has to be explained and understood. There are three usual systems devised on these lines, and they are indeed the only possible systems: that of physical influence, that of predetermined harmony, and that of supernatural intervention. The two last methods of explaining the communion be- tween the soul and matter are based on objections to the first view, which is that of common sense. It is argued, namely, that what appears as matter cannot by its immediate influence be the cause of representations, these being effects which are quite different in kind from matter. Now those who take this line cannot attach to what they understand by 'object of outer senses' the concept of a matter which is nothing but ap- pearance, and so itself a mere representation produced by some sort of outer objects. For in that case they would be say- ing that the representations of outer objects (appearances) can- not be outer causes of the representations in our mind; and this would be a quite meaningless objection, since no one could dream of holding that what he has once come to recognise as mere representation, is an outer cause. On our principles they can establish their theory only by showing that that which is the true (transcendental) object of our outer senses cannot be the cause of those representations (appearances) which we comprehend under the title 'matter'. No one, however, can have the right to claim that he knows anything in regard to the transcendental cause of our representations of the outer senses; and their assertion is therefore entirely groundless. If, on the other hand, those who profess to improve upon the doctrine of physical influence keep to the ordinary outlook of transcend- ental dualism, and suppose matter, as such, to be a thing-in- itself (not the mere appearance of an unknown thing), they will direct their objection to showing that such an outer object, which in itself exhibits no causality save that of movements, can never be the efficient cause of representations, but that a P 359 third entity must intervene to establish, if not reciprocal inter- action, at least correspondence and harmony between the two. But in arguing in this way, they begin their refutation by ad- mitting into their dualism the proton pseudos of [a doctrine of] physical influence, and consequently their objection is not so much a disproof of natural influence as of their own dualistic presupposition. For the difficulties in regard to the connection of our thinking nature with matter have their origin, one and all, in the illicitly assumed dualistic view, that matter as such is not appearance, that is, a mere representation of the mind to which an unknown object corresponds, but is the object in itself as it exists outside us independently of all sensibility. As against the commonly accepted doctrine of physical in- fluence, an objection of the dogmatic type is not, therefore, practicable. For if the opponent of the doctrine accepts the view that matter and its motion are mere appearances and so themselves mere representations, his difficulty is then simply this, that it is impossible that the unknown object of our sensi- bility should be the cause of the representations in us. He can- not, however, have the least justification for any such conten- tion, since no one is in a position to decide what an unknown object may or may not be able to do. And this transcendental idealism, as we have just proved, he cannot but concede. His only way of escape would be frankly to hypostatise representa- tions, and to set them outside himself as real things. The doctrine of physical influence, in its ordinary form, is, however, subject to a well-founded critical objection. The alleged communion between two kinds of substances, the thinking and the extended, rests on a crude dualism, and treats the extended substances, which are really nothing but mere representations of the thinking subject, as existing by themselves. This mistaken interpretation of physical in- fluence can thus be effectively disposed of: we have shown that the proof of it is void and illicit. The much-discussed question of the communion between the thinking and the extended, if we leave aside all that is merely fictitious, comes then simply to this: how in a thinking subject outer intuition, namely, that of space, with its filling- in of shape and motion, is possible. And this is a question which no man can possibly answer. This gap in our knowledge P 360 can never be filled; all that can be done is to indicate it through the ascription of outer appearances to that transcendental ob- ject which is the cause of this species of representations, but of which we can have no knowledge whatsoever and of which we shall never acquire any concept. In all problems which may arise in the field of experience we treat these appearances as objects in themselves, without troubling ourselves about the primary ground of their possibility (as appearances). But to advance beyond these limits the concept of a transcendental object would be indispensably required. The settlement of all disputes or objections which concern the state of the thinking nature prior to this communion (prior to life), or after the cessation of such communion (in death), rests upon these considerations regarding the communion between thinking beings and extended beings. The opinion that the thinking subject has been capable of thought prior to any communion with bodies would now appear as an assertion that, prior to the beginning of the species of sensibility in virtue of which something appears to us in space, those tran- scendental objects, which in our present state appear as bodies, could have been intuited in an entirely different manner. The opinion that the soul after the cessation of all communion with the corporeal world could still continue to think, would be formulated as the view that, if that species of sensibility, in virtue of which transcendental objects, at present quite un- known to us, appear as a material world, should cease, all in- tuition of the transcendental objects would not for that reason be removed, and it would still be quite possible that those same unknown objects should continue to be known by the thinking subject, though no longer, indeed, in the quality of bodies. Now on speculative principles no one can give the least ground for any such assertion. Even the possibility of what is asserted cannot be established; it can only be assumed. But it is equally impossible for anyone to bring any valid dogmatic objection against it. For whoever he may be, he knows just as little of the absolute, inner cause of outer corporeal appear- ances as I or anybody else. Since he cannot, therefore, offer any justification for claiming to know on what the outer ap- pearances in our present state (that of life) really rest, neither can he know that the condition of all outer intui- P 361 tion or the thinking subject itself, will cease with this state (in death). Thus all controversy in regard to the nature of the thinking being and its connection with the corporeal world is merely a re- sult of filling the gap where knowledge is wholly lacking to us with paralogisms of reason, treating our thoughts as things and hypostatising them. Hence originates an imaginary science, imaginary both in the case of him who affirms and of him who denies, since all parties either suppose some knowledge of objects of which no human being has any concept, or treat their own representations as objects, and so revolve in a per- petual circle of ambiguities and contradictions. Nothing but the sobriety of a critique, at once strict and just, can free us from this dogmatic delusion, which through the lure of an imagined felicity keeps so many in bondage to theories and systems. Such a critique confines all our speculative claims rigidly to the field of possible experience; and it does this not by shallow scoffing at ever-repeated failures or pious sighs over the limits of our reason, but by an effective determining of these limits in accordance with established principles, inscribing its nihil ulterius on those Pillars of Hercules which nature herself has erected in order that the voyage of our reason may be ex- tended no further than the continuous coastline of experience itself reaches -- a coast we cannot leave without venturing upon a shoreless ocean which, after alluring us with ever- deceptive prospects, compels us in the end to abandon as hopeless all this vexatious and tedious endeavour. * * * We still owe the reader a clear general exposition of the transcendental and yet natural illusion in the paralogisms of pure reason, and also a justification of the systematic ordering of them which runs parallel with the table of the categories. We could not have attempted to do so at the beginning of this section without running the risk of becoming obscure or of clumsily anticipating the course of our argument. We shall now try to fulfil this obligation. All illusion may be said to consist in treating the subjective condition of thinking as being knowledge of the object. Further in the Introduction to the Transcendental Dialectic we have P 362 shown that pure reason concerns itself solely with the totality of the synthesis of the conditions, for a given conditioned. Now since the dialectical illusion of pure reason cannot be an em- pirical illusion, such as occurs in certain specific instances of empirical knowledge, it will relate to what is universal in the conditions of thinking, and there will therefore be only three cases of the dialectical employment of pure reason. 1. The synthesis of the conditions of a thought in general. 2. The synthesis of the conditions of empirical thinking. 3. The synthesis of the conditions of pure thinking. In all these three cases pure reason occupies itself only with the absolute totality of this synthesis, that is, with that condition which is itself unconditioned. On this division is founded the threefold transcendental illusion which gives occasion for the three main sections of the Dialectic, and for the three pretended sciences of pure reason -- transcendental psychology, cosmology, and theology. Here we are concerned only with the first. Since, in thinking in general, we abstract from all relation of the thought to any object (whether of the senses or of the pure understanding), the synthesis of the conditions of a thought in general (No. 1) is not objective at all, but merely a synthesis of the thought with the subject, which is mistaken for a synthetic representation of an object. It follows from this that the dialectical inference to the condition of all thought in general, which is itself uncon- ditioned, does not commit a material error (for it abstracts from all content or objects), but is defective in form alone, and must therefore be called a paralogism. Further, since the one condition which accompanies all thought is the 'I' in the universal proposition 'I think', reason has to deal with this condition in so far as it is itself unconditioned. It is only the formal condition, namely, the logical unity of every thought, in which I abstract from all objects; but nevertheless it is represented as an object which I think, namely, I myself and its unconditioned unity. If anyone propounds to me the question, 'What is the con- P 363 stitution of a thing which thinks? ', I have no a priori know- ledge wherewith to reply. For the answer has to be synthetic -- an analytic answer will perhaps explain what is meant by thought, but beyond this cannot yield any knowledge of that upon which this thought depends for its possibility. For a synthetic solution, however, intuition is always required; and owing to the highly general character of the problem, intuition has been left entirely out of account. Similarly no one can answer in all its generality the question, 'What must a thing be, to be movable? ' For the question contains no trace of the answer, viz. impenetrable extension (matter). But although I have no general answer to the former question, it still seems as if I could reply in the special case of the proposition which ex- presses self-consciousness -- 'I think'. For this 'I' is the primary subject, that is, substance; it is simple, etc. But these would then have to be propositions derived from experience, and in the absence of a universal rule which expresses the conditions of the possibility of thought in general and a priori, they could not contain any such non-empirical predicates. Suspicion is thus thrown on the view, which at first seemed to me so plausible, that we can form judgments about the nature of a thinking being, and can do so from concepts alone. But the error in this way of thinking has not yet been detected. Further investigation into the origin of the attributes which I ascribe to myself as a thinking being in general can, however, show in what the error consists. These attributes are nothing but pure categories, by which I do not think a determinate ob- ject but only the unity of the representations -- in order to deter- mine an object for them. In the absence of an underlying intui- tion the category cannot by itself yield a concept of an object; for by intuition alone is the object given, which thereupon is thought in accordance with the category. If I am to declare a thing to be a substance in the [field of] appearance, predicates of its in- tuition must first be given me, and I must be able to distinguish in these the permanent from the transitory and the substratum (the thing itself) from what is merely inherent in it. If I call a thing in the [field of] appearance simple, I mean by this that the intuition of it, although a part of the appearance, is not P 364 itself capable of being divided into parts, etc. But if I know something as simple in concept only and not in the [field of] appearance, I have really no knowledge whatsoever of the object, but only of the concept which I make for myself of a something in general that does not allow of being intuited. I say that I think something as completely simple, only because I have really nothing more to say of it than merely that it is something. Now the bare apperception, 'I', is in concept substance, in concept simple, etc. ; and in this sense all those psychological doctrines are unquestionably true. Yet this does not give us that knowledge of the soul for which we are seeking. For since none of these predicates are valid of intuition, they cannot have any consequences which are applicable to objects of experience, and are therefore entirely void. The concept of substance does not teach me that the soul endures by itself, nor that it is a part of outer intuitions which cannot itself be divided into parts, and cannot therefore arise or perish by any natural alterations. These are properties which would make the soul known to me in the context of experience and might reveal something concerning its origin and future state. But if I say, in terms of the mere category, 'The soul is a simple substance', it is obvious that since the bare concept of sub- stance (supplied by the understanding) contains nothing be- yond the requirement that a thing be represented as being subject in itself, and not in turn predicate of anything else, nothing follows from this as regards the permanence of the 'I', and the attribute 'simple' certainly does not aid in adding this permanence. Thus, from this source, we learn nothing whatsoever as to what may happen to the soul in the changes of the natural world. If we could be assured that the soul is a simple part of matter, we could use this knowledge, with the further assistance of what experience teaches in this regard, to deduce the permanence, and, as involved in its simple nature, the indestructibility of the soul. But of all this, the concept of the 'I', in the psychological principle 'I think', tells us nothing. That the being which thinks in us is under the impression that it knows itself through pure categories, and precisely P 365 through those categories which in each type of category express absolute unity, is due to the following reason. Apper- ception is itself the ground of the possibility of the categories, which on their part represent nothing but the synthesis of the manifold of intuition, in so far as the manifold has unity in apperception. Self-consciousness in general is therefore the representation of that which is the condition of all unity, and itself is unconditioned. We can thus say of the thinking 'I' (the soul) which regards itself as substance, as simple, as numerically identical at all times, and as the correlate of all existence, from which all other existence must be inferred, that it does not know itself through the categories, but knows the categories, and through them all objects, in the absolute unity of apperception, and so through itself. Now it is, in- deed, very evident that I cannot know as an object that which I must presuppose in order to know any object, and that the determining self (the thought) is distinguished from the self that is to be determined (the thinking subject) in the same way as knowledge is distinguished from its object. Neverthe- less there is nothing more natural and more misleading than the illusion which leads us to regard the unity in the synthesis of thoughts as a perceived unity in the subject of these thoughts. We might call it the subreption of the hypostatised conscious- ness (apperceptionis substantiatae). If we desire to give a logical title to the paralogism con- tained in the dialectical syllogisms of the rational doctrine of the soul, then in view of the fact that their premisses are cor- rect, we may call it a sophisma figurae dictionis. Whereas the major premiss, in dealing with the condition, makes a merely transcendental use of the category, the minor premiss and the conclusion, in dealing with the soul which has been subsumed under this condition, use the same category empirically. Thus, for instance, in the paralogism of substantiality, the con- cept of substance is a pure intellectual concept, which in the absence of the conditions of sensible intuition admits only of transcendental use, that is, admits of no use whatsoever. But in the minor premiss the very same concept is applied to the object P 366 of all inner experience without our having first ascertained and established the condition of such employment in concreto, namely, the permanence of this object. We are thus making an empirical, but in this case inadmissible, employment of the category. Finally, in order to show the systematic interconnection of all these dialectical assertions of a pseudo-rational doctrine of the soul in an order determined by pure reason, and so to show that we have them in their completeness, we may note that apperception has been carried through all the classes of the categories but only in reference to those concepts of under- standing which in each class form the basis of the unity of the others in a possible perception, namely, subsistence, reality, unity (not plurality), and existence. Reason here represents all of these as conditions, which are themselves unconditioned, of the possibility of a thinking being. Thus the soul knows in itself -- (1) the unconditioned unity of relation, i.e. that it itself is not inherent [in something else] but self-subsistent. (2) the unconditioned unity of quality, that is, that it is not a real whole but simple. (3) the unconditioned unity in the plurality in time, i.e. that it is not numerically different at different times but one and the very same subject. (4) the unconditioned unity of existence in space, i.e. that it is not the consciousness of many things outside it, but the consciousness of the existence of itself only, and of other things merely as its representations. Reason is the faculty of principles. The assertions of pure psychology do not contain empirical predicates of the soul but those predicates, if there be any such, which are meant to de- termine the object in itself independently of experience, and so by mere reason. They ought, therefore, to be founded on principles and universal concepts bearing on the nature of thinking beings in ge neral. ++ How the simple here again corresponds to the category of reality I am not yet in a position to explain. This will be shown in the next chapter on the occasion of this same concept being put by reason to yet another use. P 367 But instead we find that the single representation, 'I am', governs them all. This representation just because it expresses the pure formula of all my experience in general announces itself as a universal proposition valid for all thinking beings; and since it is at the same time in all respects unitary, it carries with it the illusion of an absolute unity of the conditions of thought in general, and so extends itself further than possible experience can reach. P 368 THE PARALOGISMS OF PURE REASON SINCE the proposition 'I think' (taken problematically) con- tains the form of each and every judgment of understanding and accompanies all categories as their vehicle, it is evident that the inferences from it admit only of a transcendental em- ployment of the understanding. And since this employment excludes any admixture of experience, we cannot, after what has been shown above, entertain any favourable anticipations in regard to its methods of procedure. We therefore propose to follow it, with a critical eye, through all the predicaments of pure psychology. But for the sake of brevity the examination had best proceed in an unbroken continuity. The following general remark may, at the outset, aid us in our scrutiny of this kind of argument. I do not know an object merely in that I think, but only in so far as I determine a given intuition with respect to the unity of consciousness in which all thought consists. Consequently, I do not know myself through being conscious of myself as thinking, but only when I am con- scious of the intuition of myself as determined with respect to the function of thought. Modi of self-consciousness in thought are not by themselves concepts of objects (categories), but are mere functions which do not give thought an object to be known, and accordingly do not give even myself as object. The object is not the consciousness of the determining self, but only that of the determinable self, that is, of my inner intuition (in so far as its manifold can be combined in accordance with the universal condition of the unity of apper- ception in thought). P 369 (1) In all judgments I am the determining subject of that relation which constitutes the judgment. That the 'I', the 'I' that thinks, can be regarded always as subject, and as something which does not belong to thought as a mere predicate, must be granted. It is an apodeictic and indeed identical proposition; but it does not mean that I, as object, am for myself a self- subsistent being or substance. The latter statement goes very far beyond the former, and demands for its proof data which are not to be met with in thought, and perhaps (in so far as I have regard to the thinking self merely as such) are more than I shall ever find in it. (2) That the 'I' of apperception, and therefore the 'I' in every act of thought, is one, and cannot be resolved into a plurality of subjects, and consequently signifies a logically simple subject, is something already contained in the very concept of thought, and is therefore an analytic proposition. But this does not mean that the thinking 'I' is a simple sub- stance. That proposition would be synthetic. The concept of substance always relates to intuitions which cannot in me be other than sensible, and which therefore lie entirely outside the field of the understanding and its thought. But it is of this thought that we are speaking when we say that the 'I' in thought is simple. It would, indeed, be surprising if what in other cases requires so much labour to determine -- namely, what, of all that is presented in intuition, is substance, and further, whether this substance can be simple (e.g. in the parts of matter) -- should be thus given me directly, as if by revelation, in the poorest of all representations. (3) The proposition, that in all the manifold of which I am conscious I am identical with myself, is likewise implied in the concepts themselves, and is therefore an analytic proposition. But this identity of the subject, of which I can be conscious in all my representations, does not concern any intuition of the subject, whereby it is given as object, and cannot therefore signify the identity of the person, if by that is understood the consciousness of the identity of one's own substance, as a thinking being, in all change of its states. No mere analysis of the proposition 'I think' will suffice to prove such a proposi- P 370 tion; for that we should require various synthetic judgments, based upon given intuition. (4) That I distinguish my own existence as that of a thinking being, from other things outside me--among them my body -- is likewise an analytic proposition; for other things are such as I think to be distinct from myself. But I do not thereby learn whether this consciousness of myself would be even possible apart from things outside me through which representations are given to me, and whether, therefore, I could exist merely as thinking being (i.e. without existing in human form). The analysis, then, of the consciousness of myself in thought in general, yields nothing whatsoever towards the knowledge of myself as object. The logical exposition of thought in general has been mistaken for a metaphysical determination of the object. Indeed, it would be a great stumbling-block, or rather would be the one unanswerable objection, to our whole cri- tique, if there were a possibility of proving a priori that all thinking beings are in themselves simple substances, and that consequently (as follows from this same mode of proof) per- sonality is inseparable from them, and that they are conscious of their existence as separate and distinct from all matter. For by such procedure we should have taken a step beyond the world of sense, and have entered into the field of noumena; and no one could then deny our right of advancing yet further in this domain, indeed of settling in it, and, should our star prove auspicious, of establishing claims to permanent posses- sion. The proposition, 'Every thinking being is, as such, a simple substance', is a synthetic a priori proposition; it is syn- thetic in that it goes beyond the concept from which it starts, and adds to the thought in general [i.e. to the concept of a thinking being] the mode of [its] existence: it is a priori, in that it adds to the concept a predicate (that of simplicity) which cannot be given in any experience. It would then follow that a priori synthetic propositions are possible and admis- sible, not only, as we have asserted, in relation to objects of possible experience, and indeed as principles of the possibility of this experience, but that they are applicable to things in general and to things in themselves -- a result that would make P 371 an end of our whole critique, and would constrain us to ac- quiesce in the old-time procedure. Upon closer consideration we find, however, that there is no such serious danger. The whole procedure of rational psychology is determined by a paralogism, which is exhibited in the following syllogism: That which cannot be thought otherwise than as subject does not exist otherwise than as subject, and is therefore substance. A thinking being, considered merely as such, cannot be thought otherwise than as subject. Therefore it exists also only as subject, that is, as substance. In the major premiss we speak of a being that can be thought in general, in every relation, and therefore also as it may be given in intuition. But in the minor premiss we speak of it only in so far as it regards itself, as subject, simply in relation to thought and the unity of consciousness, and not as likewise in relation to the intuition through which it is given as object to thought. Thus the conclusion is arrived at fallaci- ously, per sophisma figurae dictionis. That we are entirely right in resolving this famous argu- ment into a paralogism will be clearly seen, if we call to mind what has been said in the General Note to the Systematic Representation of the Principles and in the Section on Nou- mena. ++ 'Thought' is taken in the two premisses in totally different senses: in the major premiss, as relating to an object in general and therefore to an object as it may be given in intuition; in the minor premiss, only as it consists in relation to self-consciousness. In this latter sense, no object whatsoever is being thought; all that is being represented is simply the relation to self as subject (as the form of thought). In the former premiss we are speaking of things which cannot be thought otherwise than as subjects; but in the latter premiss we speak not of things but of thought (abstraction being made from all objects) in which the 'I' always serves as the subject of consciousness. The conclusion cannot, therefore, be, 'I cannot exist otherwise than as subject', but merely, 'In thinking my exist- ence, I cannot employ myself, save as subject of the judgment [therein involved]'. This is an identical proposition, and casts no light whatsoever upon the mode of my existence. P 371 For it has there been proved that the concept of a thing P 372 which can exist by itself as subject and never as mere predi- cate, carries with it no objective reality; in other words, that we cannot know whether there is any object to which the concept is applicable -- as to the possibility of such a mode of existence we have no means of deciding -- and that the concept therefore yields no knowledge whatsoever. If by the term 'substance' be meant an object which can be given, and if it is to yield know- ledge, it must be made to rest on a permanent intuition, as being that through which alone the object of our concept can be given, and as being, therefore, the indispensable condition of the objective reality of the concept. Now in inner intuition there is nothing permanent, for the 'I' is merely the conscious- ness of my thought. So long, therefore, as we do not go beyond mere thinking, we are without the necessary condition for applying the concept of substance, that is, of a self-subsistent subject, to the self as a thinking being. And with the objective reality of the concept of substance, the allied concept of simplicity likewise vanishes; it is transformed into a merely logical qualitative unity of self-consciousness in thought in general, which has to be present whether the subject be com- posite or not. REFUTATION OF MENDELSSOHN'S PROOF OF THE PERMANENCE OF THE SOUL This acute philosopher soon noticed that the usual argu- ment by which it is sought to prove that the soul -- if it be admitted to be a simple being -- cannot cease to be through dissolution, is insufficient for its purpose, that of proving the necessary continuance of the soul, since it may be supposed to pass out of existence through simply vanishing. In his Phaedo he endeavoured to prove that the soul cannot be subject to such a process of vanishing, which would be a true annihilation, by showing that a simple being cannot cease to exist. His argument is that since the soul cannot be diminished, and so gradually lose something of its exist- ence, being by degrees changed into nothing (for since it has no parts, it has no multiplicity in itself), there would be P 373 no time between a moment in which it is and another in which it is not -- which is impossible. He failed, however, to observe that even if we admit the simple nature of the soul, namely, that it contains no manifold of constituents external to one another, and therefore no extensive quantity, we yet cannot deny to it, any more than to any other existence, intensive quantity, that is, a degree of reality in respect of all its facul- ties, nay, in respect of all that constitutes its existence, and that this degree of reality may diminish through all the in- finitely many smaller degrees. In this manner the supposed substance -- the thing, the permanence of which has not yet been proved -- may be changed into nothing, not indeed by dissolution, but by gradual loss (remissio) of its powers, and so, if I may be permitted the use of the term, by elanguescence. For consciousness itself has always a degree, which always allows of diminution, and the same must also hold of the faculty of being conscious of the self, and likewise of all the other faculties. Thus the permanence of the soul, regarded merely as object of inner sense, remains undemonstrated, and indeed indemonstrable. Its permanence during life is, of course, evident per se, since the thinking being (as man) is itself like- wise an object of the outer senses. But this is very far from satisfying the rational psychologist who undertakes to prove from mere concepts its absolute permanence beyond this life. ++ Clearness is not, as the logicians assert, the consciousness of a representation. A certain degree of consciousness, though it be insufficient for recollection, must be met with even in many obscure representations, since in the absence of all consciousness we should make no distinction between different combinations of obscure repre- sentations, which yet we are able to do in respect of the characters of many concepts, such as those of right or equity, or as when the musician in improvising strikes several keys at once. But a repre- sentation is clear, when the consciousness suffices for the conscious- ness of the distinction of this representation from others. If it suffices for distinguishing, but not for consciousness of the distinction, the representation must still be entitled obscure. There are therefore infinitely many degrees of consciousness, down to its complete vanishing. ++ Some philosophers, in making out a case for a new possibility, consider that they have done enough if they can defy others to show any contradiction in their assumptions. P 374 If we take the above propositions in synthetic connec- tion, as valid for all thinking beings, as indeed they must be taken in the system of rational psychology, and proceed from the category of relation, with the proposition, 'All think- ing beings are, as such, substances', backwards through the series of the propositions, until the circle is completed, we P 375 come at last to the existence of these thinking beings. P 374n ++This is the procedure of all those who profess to comprehend the possibility of thought -- of which they have an example only in the empirical intuitions of our human life -- even after this life has ceased. But those who resort to such a method of argument can be quite nonplussed by the citation of other possibilities which are not a whit more adventurous. Such is the possibility of the division of a simple substance into several substances, and conversely the fusing together (coalition) of several into one simple substance. For although divisibility presupposes a composite, it does not necessarily require a composite of substances, but only of degrees (of the manifold powers) of one and the same sub- stance. Now just as we can think all powers and faculties of the soul, even that of consciousness, as diminished by one half, but in such a way that the substance still remains, so also, without contradiction, we can represent this extinguished half as being preserved, not in the soul, but outside it; and we can likewise hold that since every- thing which is real in it, and which therefore has a degree -- in other words, its entire existence, from which nothing is lacking -- has been halved, another separate substance would then come into existence outside it. For the multiplicity which has been divided existed before, not indeed as a multiplicity of substances, but as the multi- plicity of every reality proper to the substance, that is, of the quan- tum of existence in it; and the unity of substance was therefore only a mode of existence, which in virtue of this division has been trans- formed into a plurality of subsistence. Similarly, several simple sub- stances might be fused into one, without anything being lost except only the plurality of subsistence, inasmuch as the one substance would contain the degree of reality of all the former substances to- gether. We might perhaps also represent the simple substances which yield us the appearance [which we entitle] matter as producing -- not indeed by a mechanical or chemical influence upon one another, but by an influence unknown to us, of which the former influence would be merely the appearance -- the souls of children, that is, as pro- ducing them through such dynamical division of the parent souls, considered as intensive quantities, and those parent souls as making good their loss through coalition with new material of the same kind. P 375 Now in this system of rational psychology these beings are taken not only as being conscious of their existence independently of outer things, but as also being able, in and by themselves, to determine that existence in respect of the permanence which is a necessary characteristic of substance. This rationalist sys- tem is thus unavoidably committed to idealism, or at least to problematic idealism. For if the existence of outer things is not in any way required for determination of one's own existence in time, the assumption of their existence is a quite gratuitous assumption, of which no proof can ever be given. If, on the other hand, we should proceed analytically, starting from the proposition 'I think', as a proposition that already in itself includes an existence as given, and therefore modality, and analysing it in order to ascertain its content, and so to discover whether and how this 'I' determines its existence in space or time solely through that content, then the propositions of the rational doctrine of the soul would not begin with the concept of a thinking being in general, but with a reality, and we should infer from the manner in which this reality is thought, after everything empirical in it has been removed, what it is that belongs to a thinking being in general. This is shown in the following table: ++ I am far from allowing any serviceableness or validity to such fancies; and as the principles of our Analytic have sufficiently demonstrated, no other than an empirical employment of the categories (including that of substance) is possible. But if the rationalist is bold enough, out of the mere faculty of thought, without any permanent intuition whereby an object might be given, to construct a self-subsistent being, and this merely on the ground that the unity of apperception in thought does not allow of its being explained [as arising] out of the composite, instead of admitting, as he ought to do, that he is unable to explain the possibility of a thinking nature, why should not the materialist, though he can as little appeal to experience in support of his [con- jectured] possibilities, be justified in being equally daring, and in using his principle to establish the opposite conclusion, while still preserving the formal unity upon which his opponent has relied. P 376 1. I think, 2. as subject, 3. as simple subject, 4. as identical subject in every state of my thought. In the second proposition it has not been determined whether I can exist and be thought as subject only, and not also as a predicate of another being, and accordingly the con- cept of a subject is here taken in a merely logical sense, and it remains undetermined whether or not we are to understand by it a substance. Similarly, the third proposition establishes nothing in regard to the constitution or subsistence of the sub- ject; none the less in this proposition the absolute unity of apper- ception, the simple 'I' in the representation to which all com- bination or separation that constitutes thought relates, has its own importance. For apperception is something real, and its simplicity is already given in the mere fact of its possibility. Now in space there is nothing real which can be simple; points, which are the only simple things in space, are merely limits not themselves anything that can as parts serve to constitute space. From this follows the impossibility of any explana- tion in materialist terms of the constitution of the self as a merely thinking subject. But since my existence is taken in the first proposition as given -- for it does not say that every thinking being exists, which would be to assert its absolute necessity and therefore to say too much, but only, 'I exist thinking' -- the proposition is empirical, and can determine my existence only in relation to my representations in time. But since for this purpose I again require something perma- nent, which, so far as I think myself, is in no way given to me in inner intuition, it is quite impossible, by means of this simple self-consciousness, to determine the manner in which I exist, whether it be as substance or as accident. Thus, if materialism is disqualified from explaining my existence, spiritualism is equally incapable of doing so; and the conclusion is that in no way whatsoever can we know anything of the constitution of the soul, so far as the possibility of its separate existence is concerned. How, indeed, should it be possible, by means of the unity P 377 of consciousness -- which we only know because we cannot but make use of it, as indispensable for the possibility of experience -- to pass out beyond experience (our existence in this life), and even to extend our knowledge to the nature of all thinking beings in general, through the empirical, but in respect of every sort of intuition the quite indeterminate pro- position, 'I think'? Rational psychology exists not as doctrine, furnishing an addition to our knowledge of the self, but only as discipline. It sets impassable limits to speculative reason in this field, and thus keeps us, on the one hand, from throwing ourselves into the arms of a soulless materialism, or, on the other hand, from losing ourselves in a spiritualism which must be quite un- founded so long as we remain in this present life. But though it furnishes no positive doctrine, it reminds us that we should regard this refusal of reason to give satisfying response to our inquisitive probings into what is beyond the limits of this present life as reason's hint to divert our self-knowledge from fruitless and extravagant speculation to fruitful practical em- ployment. Though in such practical employment it is directed always to objects of experience only, it derives its principles from a higher source, and determines us to regulate our actions as if our destiny reached infinitely far beyond experience, and therefore far beyond this present life. From all this it is evident that rational psychology owes its origin simply to misunderstanding. The unity of conscious- ness, which underlies the categories, is here mistaken for an intuition of the subject as object, and the category of sub- stance is then applied to it. But this unity is only unity in thought, by which alone no object is given, and to which, therefore, the category of substance, which always presup- poses a given intuition, cannot be applied. Consequently, this subject cannot be known. The subject of the categories cannot by thinking the categories acquire a concept of itself as an object of the categories. For in order to think them, its pure self-consciousness, which is what was to be explained, must itself be presupposed. Similarly, the subject, in which the re- presentation of time has its original ground, cannot thereby determine its own existence in time. And if this latter is im- possible, the former, as a determination of the self (as a P 378 thinking being in general) by means of the categories is equally so. Thus the expectation of obtaining knowledge which while extending beyond the limits of possible experience is like- wise to further the highest interests of humanity, is found, so far as speculative philosophy professes to satisfy it, to be grounded in deception, and to destroy itself in the attempt at fulfilment. Yet the severity of our criticism has rendered reason a not unimportant service in proving the impossibility of dogmatically determining, in regard to an object of experi- ence, anything that lies beyond the limits of experience. For in so doing it has secured reason against all possible assertions of the opposite. That cannot be achieved save in one or other of two ways. ++ The 'I think' is, as already stated, an empirical proposition, and contains within itself the proposition 'I exist'. But I cannot say 'Everything which thinks, exists'. For in that case the property of thought would render all beings which possess it necessary beings. My existence cannot, therefore, be regarded as an inference from the proposition 'I think', as Descartes sought to contend -- for it would then have to be preceded by the major premiss 'Everything which thinks, exists' -- but is identical with it. The 'I think' ex- presses an indeterminate empirical intuition, i.e. perception (and thus shows that sensation, which as such belongs to sensibility, lies at the basis of this existential proposition) But the 'I think' precedes the experience which is required to determine the object of perception through the category in respect of time; and the existence here [referred to] is not a category. The category as such does not apply to an indeterminately given object but only to one of which we have a concept and about which we seek to know whether it does or does not exist outside the concept. An indetermin- ate perception here signifies only something real that is given, given indeed to thought in general, and so not as appearance, nor as thing in itself (noumenon), but as something which actually exists, and which in the proposition, 'I think', is denoted as such. For it must be observed, that when I have called the proposition, 'I think', an empirical proposition, I do not mean to say thereby, that the 'I' in this proposition is an empirical representation. On the contrary, it is purely intellectual, because belonging to thought in general. Without some empirical representation to supply the material for thought, the actus, 'I think', would not, indeed, take place; but the empirical is only the condition of the application, or of the employ- ment, of the pure intellectual faculty. P 379 Either we have to prove our proposition apo- deictically; or, if we do not succeed in this, we have to seek out the sources of this inability, which, if they are traceable to the necessary limits of our reason, must constrain all opponents to submit to this same law of renunciation in respect of all claims to dogmatic assertion. Yet nothing is thereby lost as regards the right, nay, the necessity, of postulating a future life in accordance with the principles of the practical employment of reason, which is closely bound up with its speculative employment. For the merely speculative proof has never been able to exercise any influence upon the common reason of men. It so stands upon the point of a hair, that even the schools preserve it from fall- ing only so long as they keep it unceasingly spinning round like a top; even in their own eyes it yields no abiding founda- tion upon which anything could be built. The proofs which are serviceable for the world at large all preserve their entire value undiminished, and indeed, upon the surrender of these dog- matic pretensions, gain in clearness and in natural force. For reason is then located in its own peculiar sphere, namely, the order of ends, which is also at the same time an order of nature; and since it is in itself not only a theoretical but also a practical faculty, and as such is not bound down to natural conditions, it is justified in extending the order of ends, and therewith our own existence, beyond the limits of experience and of life. If we judged according to analogy with the nature of living beings in this world, in dealing with which reason must necessarily accept the principle that no organ, no faculty, no impulse, indeed nothing whatsoever is either superfluous or disproportioned to its use, and that therefore nothing is pur- poseless, but everything exactly conformed to its destiny in life -- if we judged by such an analogy we should have to re- gard man, who alone can contain in himself the final end of all this order, as the only creature that is excepted from it. Man's natural endowments -- not merely his talents and the impulses to enjoy them, but above all else the moral law within him -- go so far beyond all the utility and advantage which he may derive from them in this present life, that he learns there- by to prize the mere consciousness of a righteous will as being, apart from all advantageous consequences, apart even from the P 380 shadowy reward of posthumous fame, supreme over all other values; and so feels an inner call to fit himself, by his conduct in this world, and by the sacrifice of many of its advantages, for citizenship in a better world upon which he lays hold in idea. This powerful and incontrovertible proof is reinforced by our ever-increasing knowledge of purposiveness in all that we see around us, and by contemplation of the immensity of creation, and therefore also by the consciousness of a certain illimitableness in the possible extension of our knowledge, and of a striving commensurate therewith. All this still remains to us, but we must renounce the hope of comprehending, from the merely theoretical knowledge of ourselves, the necessary continuance of our existence. CONCLUSION, IN REGARD TO THE SOLUTION OF THE PSYCHOLOGICAL PARALOGISM The dialectical illusion in rational psychology arises from the confusion of an idea of reason -- the idea of a pure intelli- gence -- with the completely undetermined concept of a think- ing being in general. I think myself on behalf of a possible experience, at the same time abstracting from all actual ex- perience; and I conclude therefrom that I can be conscious of my existence even apart from experience and its empirical conditions. In so doing I am confusing the possible abstrac- tion from my empirically determined existence with the sup- posed consciousness of a possible separate existence of my thinking self, and I thus come to believe that I have knowledge that what is substantial in me is the transcendental subject. But all that I really have in thought is simply the unity of con- sciousness, on which, as the mere form of knowledge, all determination is based. The task of explaining the communion of the soul with the body does not properly belong to the psychology with which we are here dealing. For this psychology proposes to prove the personality of the soul even apart from this com- munion (that is, after death), and is therefore transcendent in the proper sense of that term. It does, indeed, occupy itself with an object of experience, but only in that aspect in which P 381 it ceases to be an object of experience. Our teaching, on the other hand, does supply a sufficient answer to this question. The difficulty peculiar to the problem consists, as is generally recognised, in the assumed heterogeneity of the object of inner sense (the soul) and the objects of the outer senses, the formal condition of their intuition being, in the case of the former, time only, and in the case of the latter, also space. But if we consider that the two kinds of objects thus differ from each other, not in- wardly but only in so far as one appears outwardly to the other, and that what, as thing in itself, underlies the appearance of matter, perhaps after all may not be so heterogeneous in character, this difficulty vanishes, the only question that re- mains being how in general a communion of substances is possible. This, however, is a question which lies outside the field of psychology, and which the reader, after what has been said in the Analytic regarding fundamental powers and facul- ties, will not hesitate to regard as likewise lying outside the field of all human knowledge. GENERAL NOTE ON THE TRANSITION FROM RATIONAL PSYCHOLOGY TO COSMOLOGY The proposition, 'I think' or 'I exist thinking', is an em- pirical proposition. Such a proposition, however, is conditioned by empirical intuition, and is therefore also conditioned by the object [that is, the self] which is thought [in its aspect] as appearance. It would consequently seem that on our theory the soul, even in thought, is completely transformed into appearance, and that in this way our consciousness itself, as being a mere illusion, must refer in fact to nothing. Thought, taken by itself, is merely the logical function, and therefore the pure spontaneity of the combination of the manifold of a merely possible intuition, and does not exhibit the subject of consciousness as appearance; and this for the sufficient reason that thought takes no account whatsoever of the mode of intuition, whether it be sensible or intellectual. I thereby represent myself to myself neither as I am nor as I appear to myself. I think myself only as I do any object in general from whose mode of intuition I abstract. If I here re- P 382 present myself as subject of thoughts or as ground of thought, these modes of representation do not signify the categories of substance or of cause. For the categories are those functions of thought (of judgment) as already applied to our sensible in- tuition, such intuition being required if I seek to know myself. If, on the other hand, I would be conscious of myself simply as thinking, then since I am not considering how my own self may be given in intuition, the self may be mere appearance to me, the 'I' that thinks, but is no mere appearance in so far as I think; in the consciousness of myself in mere thought I am the being itself, although nothing in myself is thereby given for thought. The proposition, 'I think', in so far as it amounts to the assertion, 'I exist thinking', is no mere logical function, but determines the subject (which is then at the same time object) in respect of existence, and cannot take place without inner sense, the intuition of which presents the object not as thing in itself but merely as appearance. There is here, therefore, not simply spontaneity of thought, but also receptivity of intui- tion, that is, the thought of myself applied to the empirical intuition of myself. Now it is to this intuition that the thinking self would have to look for the conditions of the employment of its logical functions as categories of substance, cause, etc. , if it is not merely to distinguish itself as object in itself, through the 'I', but is also to determine the mode of its existence, that is, to know itself as noumenon. This, however, is impossible, since the inner empirical intuition is sensible and yields only data of appearance, which furnish nothing to the object of pure consciousness for the knowledge of its separate existence, but can serve only for the obtaining of experience. Should it be granted that we may in due course discover, not in experience but in certain laws of the pure employment of reason -- laws which are not merely logical rules, but which while holding a priori also concern our existence -- ground for regarding ourselves as legislating completely a priori in re- gard to our own existence, and as determining this existence, there would thereby be revealed a spontaneity through which our reality would be determinable, independently of the con- ditions of empirical intuition. And we should also become P 383 aware that in the consciousness of our existence there is con- tained a something a priori, which can serve to determine our existence -- the complete determination of which is possible only in sensible terms -- as being related, in respect of a certain inner faculty, to a non-sensible intelligible world. But this would not be of the least service in furthering the attempts of rational psychology. In this marvellous faculty, which the consciousness of the moral law first reveals to me, I should indeed have, for the determination of my existence, a principle which is purely intellectual. But through what predi- cates would that determination have to be made? They could be no other than those which must be given to me in sensible intuition; and thus I should find myself, as regards rational psychology, in precisely the same position as before, namely, still in need of sensible intuitions to confer meaning on my concepts of understanding (substance, cause, etc. ), through which alone I can have knowledge of myself; and these in- tuitions can never aid me in advancing beyond the field of experience. Nevertheless, in respect of the practical employ- ment, which is always directed to objects of experience, I should be justified in applying these concepts, in conformity with their analogical meaning when employed theoretically, to freedom and the subject that is possessed of freedom. In so doing, however, I should understand by these concepts the merely logical functions of subject and predicate, of ground and consequence, in accordance with which the acts or effects are so determined conformably to those [moral] laws, that they always allow of being explained, together with the laws of nature, in accordance with the categories of substance and cause, although they have their source in an entirely different principle. These observations are designed merely to prevent a misunderstanding to which the doctrine of our self-intuition, as appearance, is particularly liable. We shall have occasion to make further application of them in the sequel. P 384 THE TRANSCENDENTAL DIALECTIC BOOK II CHAPTER II THE ANTINOMY OF PURE REASON WE have shown in the introduction to this part of our work that all transcendental illusion of pure reason rests on dia- lectical inferences whose schema is supplied by logic in the three formal species of syllogisms -- just as the categories find their logical schema in the four functions of all judgments. The first type of these pseudo-rational inferences deals with the unconditioned unity of the subjective conditions of all repre- sentations in general (of the subject or soul), in correspondence with the categorical syllogisms, the major premiss of which is a principle asserting the relation of a predicate to a subject. The second type of dialectical argument follows the analogy of the hypothetical syllogisms. It has as its content the un- conditioned unity of the objective conditions in the [field of] appearance. In similar fashion, the third type, which will be dealt with in the next chapter, has as its theme the un- conditioned unity of the objective conditions of the possibility of objects in general. But there is one point that calls for special notice. Transcendental paralogism produced a purely one-sided illusion in regard to the idea of the subject of our thought. No illusion which will even in the slightest degree support the opposing assertion is caused by the concepts of reason. Con- sequently, although transcendental paralogism, in spite of a favouring illusion, cannot disclaim the radical defect through which in the fiery ordeal of critical investigation it dwindles P 385 into mere semblance, such advantage as it offers is altogether on the side of pneumatism. A completely different situation arises when reason is ap- plied to the objective synthesis of appearances. For in this domain, however it may endeavour to establish its principle of unconditioned unity, and though it indeed does so with great though illusory appearance of success, it soon falls into such contradictions that it is constrained, in this cosmological field, to desist from any such pretensions. We have here presented to us a new phenomenon of human reason -- an entirely natural antithetic, in which there is no need of making subtle enquiries or of laying snares for the unwary, but into which reason of itself quite unavoidably falls. It certainly guards reason from the slumber of fictitious con- viction such as is generated by a purely one-sided illusion, but at the same time subjects it to the temptation either of aban- doning itself to a sceptical despair, or of assuming an ob- stinate attitude, dogmatically committing itself to certain assertions, and refusing to grant a fair hearing to the argu- ments for the counter-position. Either attitude is the death of sound philosophy, although the former might perhaps be entitled the euthanasia of pure reason. Before considering the various forms of opposition and dissension to which this conflict or antinomy of the laws of pure reason gives rise, we may offer a few remarks in explana- tion and justification of the method which we propose to employ in the treatment of this subject. I entitle all tran- scendental ideas, in so far as they refer to absolute totality in the synthesis of appearances, cosmical concepts, partly be- cause this unconditioned totality also underlies the concept -- itself only an idea -- of the world-whole; partly because they concern only the synthesis of appearances, therefore only empirical synthesis When, on the contrary, the abso- lute totality is that of the synthesis of the conditions of all possible things in general, it gives rise to an ideal of pure reason which, though it may indeed stand in a certain relation to the cosmical concept, is quite distinct from it. Accordingly, just as the paralogisms of pure reason formed the basis of a dialectical psychology, so the antinomy of pure reason will exhibit to us the transcendental principles P 386 of a pretended pure rational cosmology. But it will not do so in order to show this science to be valid and to adopt it. As the title, conflict of reason, suffices to show, this pretended science can be exhibited only in its bedazzling but false illusoriness, as an idea which can never be reconciled with appearances. THE ANTINOMY OF PURE REASON Section I SYSTEM OF COSMOLOGICAL IDEAS In proceeding to enumerate these ideas with systematic precision according to a principle, we must bear in mind two points. In the first place we must recognise that pure and transcendental concepts can issue only from the understand- ing. Reason does not really generate any concept. The most it can do is to free a concept of understanding from the unavoidable limitations of possible experience, and so to en- deavour to extend it beyond the limits of the empirical, though still, indeed, in terms of its relation to the empirical. This is achieved in the following manner. For a given conditioned, reason demands on the side of the conditions -- to which as the conditions of synthetic unity the understanding subjects all appearances -- absolute totality, and in so doing converts the category into a transcendental idea. For only by carrying the empirical synthesis as far as the unconditioned is it en- abled to render it absolutely complete; and the unconditioned is never to be met with in experience, but only in the idea. Reason makes this demand in accordance with the principle that if the conditioned is given, the entire sum of conditions, and consequently the absolutely unconditioned (through which alone the conditioned has been possible) is also given. The transcendental ideas are thus, in the first place, simply cate- gories extended to the unconditioned, and can be reduced to a table arranged according to the [fourfold] headings of the latter. In the second place, not all categories are fitted for such employment, but only those in which the synthesis constitutes a series of conditions subordinated to, not co-ordinated with, P 387 one another, and generative of a [given] conditioned. Ab- solute totality is demanded by reason only in so far as the ascending series of conditions relates to a given conditioned. It is not demanded in regard to the descending line of con- sequences, nor in reference to the aggregate of co-ordinated conditions of these consequences. For in the case of the given conditioned, conditions are presupposed, and are considered as given together with it. On the other hand, since conse- quences do not make their conditions possible, but rather presuppose them, we are not called upon, when we advance to consequences or descend from a given condition to the con- ditioned, to consider whether the series does or does not cease; the question as to the totality of the series is not in any way a presupposition of reason. Thus we necessarily think time as having completely elapsed up to the given moment, and as being itself given in this completed form. This holds true, even though such com- pletely elapsed time is not determinable by us. But since the future is not the condition of our attaining to the present, it is a matter of entire indifference, in our comprehension of the latter, how we may think of future time, whether as coming to an end or as flowing on to infinity. We have, as it were, the series m, n, o, in which n is given as conditioned by m, and at the same time as being the condition of o. The series ascends from the conditioned n to m (l, k, i, etc. ), and also descends from the condition n to the conditioned o (p, q, r, etc. ). Now I must presuppose the first series in order to be able to view n as given. According to reason, with its demand for totality of conditions, n is possible only by means of that series. Its possibility does not, however, rest upon the subsequent series, o, p, q, r. This latter series may not therefore be regarded as given, but only as allowing of being given (dabilis). I propose to name the synthesis of a series which begins, on the side of the conditions, from the condition which stands near- est to the given appearance and so passes to the more remote conditions, the regressive synthesis; and that which advances, on the side of the conditioned, from the first consequence to the more distant, the progressive. The first proceeds in ante- cedentia, the second in consequentia. The cosmological ideas deal, therefore, with the totality of the regressive synthesis P 388 proceeding in antecedentia, not in consequentia. The problem of pure reason suggested by the progressive form of totality is gratuitous and unnecessary, since the raising of it is not required for the complete comprehension of what is given in appearance. For that we require to consider only the grounds, not the consequences. In arranging the table of ideas in accordance with the table of categories, we first take the two original quanta of all our intuition, time and space. Time is in itself a series, and indeed the formal condition of all series. In it, in regard to a given present, the antecedents can be a priori distinguished as conditions (the past) from the consequents (the future). The transcendental idea of the absolute totality of the series of con- ditions of any given conditioned therefore refers only to all past time; and in conformity with the idea of reason past time, as condition of the given moment, is necessarily thought as being given in its entirety. Now in space, taken in and by itself, there is no distinction between progress and regress. For as its parts are co-existent, it is an aggregate, not a series. The present moment can be regarded only as conditioned by past time, never as conditioning it, because this moment comes into exist- ence only through past time, or rather through the passing of the preceding time. But as the parts of space are co-ordinated with, not subordinated to, one another, one part is not the con- dition of the possibility of another; and unlike time, space does not in itself constitute a series. Nevertheless the synthesis of the manifold parts of space, by means of which we apprehend space, is successive, taking place in time and containing a series. And since in this series of the aggregated spaces (as for instance of the feet in a rood) of the given space, those which are thought in extension of the given space are always the con- dition of the limits of the given space, the measuring of a space is also to be regarded as a synthesis of a series of the conditions of a given conditioned, only with this difference that the side of the conditions is not in itself distinct from that of the condi- tioned, and that in space regressus and progressus would there- fore seem to be one and the same. Inasmuch as one part of space is not given through the others but only limited by them, we must consider each space, in so far as it is limited, as being also conditioned, in that it presupposes another space as the P 389 condition of its limits, and so on. In respect of limitation the advance in space is thus also a regress, and the transcendental idea of the absolute totality of the synthesis in the series of con- ditions likewise applies to space. I can as legitimately enquire regarding the absolute totality of appearance in space as of that in past time. Whether an answer to this question is ever possible, is a point which will be decided later. Secondly, reality in space, i.e. matter, is a conditioned. Its internal conditions are its parts, and the parts of these parts its remote conditions. There thus occurs a regressive synthesis, the absolute totality of which is demanded by reason. This can be obtained only by a completed division in virtue of which the reality of matter vanishes either into nothing or into what is no longer matter -- namely, the simple. Here also, then, we have a series of conditions, and an advance to the unconditioned. Thirdly, as regards the categories of real relation between appearances, that of substance with its accidents is not adapted to being a transcendental idea. That is to say, in it reason finds no ground for proceeding regressively to conditions. Acci- dents, in so far as they inhere in one and the same substance, are co-ordinated with each other, and do not constitute a series. Even in their relation to substance they are not really subordi- nated to it, but are the mode of existence of the substance itself. What in this category may still, however, seem to be an idea of transcendental reason, is the concept of the substantial. But since this means no more than the concept of object in general, which subsists in so far as we think in it merely the transcendental subject apart from all predicates, whereas we are here dealing with the unconditioned only as it may exist in the series of appearances, it is evident that the sub- stantial cannot be a member of that series. This is also true of substances in community. They are mere aggregates, and contain nothing on which to base a series. For we cannot say of them, as we can of spaces, whose limits are never deter- mined in and by themselves but only through some other space, that they are subordinated to each other as conditions of the possibility of one another. There thus remains only the cate- gory of causality. It presents a series of causes of a given P 390 effect such that we can proceed to ascend from the latter as the conditioned to the former as conditions, and so to answer the question of reason. Fourthly, the concepts of the possible, the actual, and the necessary do not lead to any series, save in so far as the acci- dental in existence must always be regarded as conditioned, and as pointing in conformity with the rule of the understand- ing to a condition under which it is necessary, and this latter in turn to a higher condition, until reason finally attains uncondi- tioned necessity in the totality of the series. When we thus select out those categories which necessarily lead to a series in the synthesis of the manifold, we find that there are but four cosmological ideas, corresponding to the four titles of the categories: 1. Absolute completeness of the Composition of the given whole of all appearances. 2. Absolute completeness in the Division of a given whole in the [field of] appearance. 3. Absolute completeness in the Origination of an appearance. 4. Absolute completeness as regards Dependence of Existence of the changeable in the [field of] appearance. There are several points which here call for notice. In the first place, the idea of absolute totality concerns only the ex- position of appearances, and does not therefore refer to the pure concept, such as the understanding may form, of a total- ity of things in general. Appearances are here regarded as given; what reason demands is the absolute completeness of the conditions of their possibility, in so far as these conditions con- stitute a series. What reason prescribes is therefore an abso- lutely (that is to say, in every respect) complete synthesis, whereby the appearance may be exhibited in accordance with the laws of understanding. P 391 Secondly, what reason is really seeking in this serial, re- gressively continued, synthesis of conditions, is solely the un- conditioned. What it aims at is, as it were, such a completeness in the series of premisses as will dispense with the need of pre- supposing other premisses. This unconditioned is always con- tained in the absolute totality of the series as represented in imagination. But this absolutely complete synthesis is again only an idea; for we cannot know, at least at the start of this enquiry, whether such a synthesis is possible in the case of ap- pearance. If we represent everything exclusively through pure concepts of understanding, and apart from conditions of sen- sible intuition, we can indeed at once assert that for a given con- ditioned, the whole series of conditions subordinated to each other is likewise given. The former is given only through the latter. When, however, it is with appearances that we are deal- ing, we find a special limitation due to the manner in which conditions are given, namely, through the successive synthesis of the manifold of intuition -- a synthesis which has to be made complete through the regress. Whether this complete- ness is sensibly possible is a further problem; the idea of it lies in reason, independently alike of the possibility or of the impossibility of our connecting with it any adequate empirical concepts. Since, then, the unconditioned is necessarily con- tained in the absolute totality of the regressive synthesis of the manifold in the [field of] appearance -- the synthesis being executed in accordance with those categories which represent appearance as a series of conditions to a given conditioned -- reason here adopts the method of starting from the idea of totality, though what it really has in view is the unconditioned, whether of the entire series or of a part of it. Meantime, also, it leaves undecided whether and how this totality is attain- able. This unconditioned may be conceived in either of two ways. It may be viewed as consisting of the entire series in which all the members without exception are conditioned and only the totality of them is absolutely unconditioned. This regress is to be entitled infinite. Or alternatively, the absolutely unconditioned is only a part of the series -- a part to which the other members are subordinated, and which does not itself stand P 392 under any other condition. On the first view, the series a parte - priori is without limits or beginning, i.e. is infinite, and at the same time is given in its entirety. But the regress in it is never completed, and can only be called potentially infinite. On the second view, there is a first member of the series which in respect of past time is entitled, the beginning of the world, in respect of space, the limit of the world, in respect of the parts of a given limited whole, the simple, in respect of causes, absolute self-activity (freedom), in respect of the existence of alterable things, absolute natural necessity. We have two expressions, world and nature, which some- times coincide. The former signifies the mathematical sum- total of all appearances and the totality of their synthesis, alike in the great and in the small, that is, in the advance alike through composition and through division. This same world is entitled nature when it is viewed as a dynamical whole. We are not then concerned with the aggregation in space and time, with a view to determining it as a magnitude, but with the unity in the existence of appearances. In this case the condition of that which happens is entitled the cause. Its unconditioned caus- ality in the [field of] appearance is called freedom, and its conditioned causality is called natural cause in the narrower [adjectival] sense. The conditioned in existence in general is termed contingent and the unconditioned necessary. ++ The absolute totality of the series of conditions to a given con- ditioned is always unconditioned, since outside it there are no further conditions in respect of which it could be conditioned. But this absolute totality of such a series is only an idea, or rather a problem- atic concept, the possibility of which has to be investigated, especi- ally in regard to the manner in which the unconditioned (the tran- scendental idea really at issue) is involved therein. ++ Nature, taken adjectivally (formaliter), signifies the connec- tion of the determinations of a thing according to an inner principle of causality. By nature, on the other hand, taken substantivally (materialiter), is meant the sum of appearances in so far as they stand, in virtue of an inner principle of causality, in thorough- going interconnection. In the first sense we speak of the nature of fluid matter, of fire, etc. The word is then employed in an adjectival manner. When, on the other hand, we speak of the things of nature, we have in mind a self-subsisting whole. P 393 The unconditioned necessity of appearances may be entitled natural necessity. The ideas with which we are now dealing I have above entitled cosmological ideas, partly because by the term 'world' we mean the sum of all appearances, and it is exclusively to the unconditioned in the appearances that our ideas are directed, partly also because the term 'world', in the tran- scendental sense, signifies the absolute totality of all existing things, and we direct our attention solely to the completeness of the synthesis, even though that is only attainable in the regress to its conditions. Thus despite the objection that these ideas are one and all transcendent, and that although they do not in kind surpass the object, namely, appearances, but are concerned exclusively with the world of sense, not with nou- mena, they yet carry the synthesis to a degree which tran- scends all possible experience, I none the less still hold that they may quite appropriately be entitled cosmical concepts. In respect of the distinction between the mathematically and the dynamically unconditioned at which the regress aims, I might, however, call the first two concepts cosmical in the narrower sense, as referring to the world of the great and the small, and the other two transcendent concepts of nature. This distinction has no special immediate value; its significance will appear later. THE ANTINOMY OF PURE REASON Section 2 ANTITHETIC OF PURE REASON If thetic be the name for any body of dogmatic doctrines, antithetic may be taken as meaning, not dogmatic assertions of the opposite, but the conflict of the doctrines of seemingly dog- matic knowledge (thesis cum antithesi) in which no one asser- tion can establish superiority over another. The antithetic does not, therefore, deal with one-sided assertions. It treats only the conflict of the doctrines of reason with one another and the causes of this conflict. The transcendental antithetic is an en- quiry into the antinomy of pure reason, its causes and out- P 394 come. If in employing the principles of understanding we do not merely apply our reason to objects of experience, but venture to extend these principles beyond the limits of experi- ence, there arise pseudo-rational doctrines which can neither hope for confirmation in experience nor fear refutation by it. Each of them is not only in itself free from contradiction, but finds conditions of its necessity in the very nature of reason -- only that, unfortunately, the assertion of the opposite has, on its side, grounds that are just as valid and necessary. The questions which naturally arise in connection with such a dialectic of pure reason are the following: (1) In what propositions is pure reason unavoidably subject to an anti- nomy? (2) On what causes does this antinomy depend? (3) Whether and in what way, despite this contradiction, does there still remain open to reason a path to certainty? A dialectical doctrine of pure reason must therefore be distinguished from all sophistical propositions in two respects. It must not refer to an arbitrary question such as may be raised for some special purpose, but to one which human reason must necessarily encounter in its progress. And secondly, both it and its opposite must involve no mere artificial illusion such as at once vanishes upon detection, but a natural and un- avoidable illusion, which even after it has ceased to beguile still continues to delude though not to deceive us, and which though thus capable of being rendered harmless can never be eradicated. Such dialectical doctrine relates not to the unity of under- standing in empirical concepts, but to the unity of reason in mere ideas. Since this unity of reason involves a synthesis ac- cording to rules, it must conform to the understanding; and yet as demanding absolute unity of synthesis it must at the same time harmonise with reason. But the conditions of this unity are such that when it is adequate to reason it is too great for the understanding; and when suited to the understanding, too small for reason. There thus arises a conflict which cannot be avoided, do what we will. These pseudo-rational assertions thus disclose a dialectical battlefield in which the side permitted to open the attack is invariably victorious, and the side constrained to act on the defensive is always defeated. Accordingly, vigorous fighters, no P 395 matter whether they support a good or a bad cause, if only they contrive to secure the right to make the last attack, and are not required to withstand a new onslaught from their oppo- nents, may always count upon carrying off the laurels. We can easily understand that while this arena should time and again be contested, and that numerous triumphs should be gained by both sides, the last decisive victory always leaves the champion of the good cause master of the field, simply be- cause his rival is forbidden to resume the combat. As im- partial umpires, we must leave aside the question whether it is for the good or the bad cause that the contestants are fighting. They must be left to decide the issue for themselves. After they have rather exhausted than injured one another, they will perhaps themselves perceive the futility of their quarrel, and part good friends. This method of watching, or rather provoking, a conflict of assertions, not for the purpose of deciding in favour of one or other side, but of investigating whether the object of con- troversy is not perhaps a deceptive appearance which each vainly strives to grasp, and in regard to which, even if there were no opposition to be overcome, neither can arrive at any result, -- this procedure, I say, may be entitled the sceptical method. It is altogether different from scepticism -- a principle of technical and scientific ignorance, which undermines the foundations of all knowledge, and strives in all possible ways to destroy its reliability and steadfastness. For the sceptical method aims at certainty. It seeks to discover the point of misunderstanding in the case of disputes which are sincerely and competently conducted by both sides, just as from the embarrassment of judges in cases of litigation wise legislators contrive to obtain instruction regarding the defects and am- biguities of their laws. The antinomy which discloses itself in the application of laws is for our limited wisdom the best criterion of the legislation that has given rise to them. Reason, which does not in abstract speculation easily become aware of its errors, is hereby awakened to consciousness of the factors [that have to be reckoned with] in the determination of its principles P 396 But it is only for transcendental philosophy that this scep- tical method is essential. Though in all other fields of enquiry it can, perhaps, be dispensed with, it is not so in this field. In mathematics its employment would, indeed, be absurd; for in mathematics no false assertions can be concealed and ren- dered invisible, inasmuch as the proofs must always proceed under the guidance of pure intuition and by means of a syn- thesis that is always evident. In experimental philosophy the delay caused by doubt may indeed be useful; no misunder- standing is, however, possible which cannot easily be re- moved; and the final means of deciding the dispute, whether found early or late, must in the end be supplied by experience. Moral philosophy can also present its principles, together with their practical consequences, one and all in concreto, in what are at least possible experiences; and the misunder- standing due to abstraction is thereby avoided. But it is quite otherwise with transcendental assertions which lay claim to insight into what is beyond the field of all possible experiences. Their abstract synthesis can never be given in any a priori intuition, and they are so constituted that what is erroneous in them can never be detected by means of any experience. Transcendental reason consequently admits of no other test than the endeavour to harmonise its various assertions. But for the successful application of this test the conflict into which they fall with one another must first be left to develop free and untrammelled. This we shall now set about arranging. THE ANTINOMY OF PURE REASON FIRST CONFLICT OF THE TRANSCENDENTAL IDEAS Thesis The world has a beginning in time, and is also limited as regards space. ++ The antinomies follow one another in the order of the tran- scendental ideas above enumerated. P 396a Antithesis The world has no begin- ning, and no limits in space; it is infinite as regards both time and space. P 397 Proof If we assume that the world has no beginning in time, then up to every given mo- ment an eternity has elapsed, and there has passed away in the world an infinite series of successive states of things. Now the infinity of a series consists in the fact that it can never be completed through successive synthesis. It thus follows that it is impossible for an infinite world-series to have passed away, and that a be- ginning of the world is there- fore a necessary condition of the world's existence. This was the first point that called for proof. As regards the second point, let us again assume the oppo- site, namely, that the world is an infinite given whole of co- existing things. Now the mag- nitude of a quantum which is not given in intuition as within certain limits, can be thought only through the synthesis of its parts, and the totality of such a quantum only through a synthesis that is brought to completion through repeated addition of unit to unit. ++ An indeterminate quantum can be intuited as a whole when it is such that though enclosed within limits we do not require to con- struct its totality through measurement, that is, through the success- ive synthesis of its parts. For the limits, in cutting off anything further, themselves determine its completeness. P 397a Proof For let us assume that it has a beginning. Since the beginning is an existence which is preceded by a time in which the thing is not, there must have been a preceding time in which the world was not, i.e. an empty time. Now no coming to be of a thing is possible in an empty time, because no part of such a time possesses, as compared with any other, a distinguishing condition of existence rather than of non- existence; and this applies whether the thing is sup- posed to arise of itself or through some other cause. In the world many series of things can, indeed, begin; but the world itself cannot have a beginning, and is therefore infinite in respect of past time. As regards the second point, let us start by assum- ing the opposite, namely, that the world in space is finite and limited, and consequently exists in an empty space which is unlimited. P 398 In order, there- fore, to think, as a whole, the world which fills all spaces, the successive synthesis of the parts of an infinite world must be viewed as completed, that is, an infinite time must be viewed as having elapsed in the enumeration of all co- existing things. This, how- ever, is impossible. An in- finite aggregate of actual things cannot therefore be viewed as a given whole, nor consequently as simultane- ously given. The world is, therefore, as regards exten- sion in space, not infinite, but is enclosed within limits. This was the second point in dispute. ++ The concept of totality is in this case simply the representa- tion of the completed synthesis of its parts; for, since we cannot obtain the concept from the intuition of the whole -- that being in this case impossible -- we can apprehend it only through the syn- thesis of the parts viewed as carried, at least in idea, to the comple- tion of the infinite. P 397a Things will therefore not only be P 398a related in space but also related to space. Now since the world is an absolute whole beyond which there is no object of intuition, and there- fore no correlate with which the world stands in relation, the relation of the world to empty space would be a relation of it to no object. But such a relation, and con- sequently the limitation of the world by empty space, is nothing. The world cannot, therefore, be limited in space; that is, it is infinite in respect of extension. ++ Space is merely the form of outer intuition (formal intuition). It is not a real object which can be outwardly intuited. Space, as prior to all things which determine (occupy or limit) it, or rather which give an empirical intuition in accordance with its form, is, under the name of absolute space, nothing but the mere possibility of outer appearances in so far as they either exist in themselves or can be added to given appearances. Empirical intuition is not, there- fore, a composite of appearances and space (of perception and empty intuition). The one is not the correlate of the other in a synthesis; they are connected in one and the same empirical intuition as matter and form of the intuition. If we attempt to set one of these two factors outside the other, space outside all appearances, there arise all sorts of empty determinations of outer intuition, which yet are not possible perceptions. For example, a determination of the relation of the motion (or rest) of the world to infinite empty space P 398n is a determination which can never be perceived, and is therefore the predicate of a mere thought-entity. P 399 OBSERVATION ON THE FIRST ANTINOMY I. On the Thesis In stating these conflicting arguments I have not sought to elaborate sophisms. That is to say, I have not resorted to the method of the special pleader who attempts to take advantage of an opponent's carelessness -- freely allowing the appeal to a misunderstood law, in order that he may be in a position to establish his own unrighteous claims by the refutation of that law. Each of the above proofs arises naturally out of the matter in dispute, and no ad- vantage has been taken of the openings afforded by er- roneous conclusions arrived at by dogmatists in either party. I might have made a pretence of establishing the thesis in the usual manner of the dogmatists, by starting from a defective concept of the infinitude of a given mag- nitude. I might have argued that a magnitude is infinite if a greater than itself, as determined by the multipli- city of given units which it contains, is not possible. P 399a II. On the Antithesis The proof of the infinitude of the given world-series and of the world-whole, rests upon the fact that, on the contrary assumption, an empty time and an empty space, must constitute the limit of the world. I am aware that attempts have been made to evade this conclusion by argu- ing that a limit of the world in time and space is quite possible without our having to make the impossible as- sumption of an absolute time prior to the beginning of the world, or of an absolute space extending beyond the real world. With the latter part of this doctrine, as held by the philosophers of the Leibnizian school, I am en- tirely satisfied. Space is merely the form of outer intuition; it is not a real object which can be outwardly intuited; it is not a correlate of the ap- pearances, but the form of the appearances themselves. And since space is thus no object but only the form of possible objects, it cannot be P 400a regarded as something abso- lute in itself that determines the existence of things. P 400 Now no multiplicity is the great- est, since one or more units can always be added to it. Consequently an infinite given magnitude, and therefore an infinite world (infinite as re- gards the elapsed series or as regards extension) is impos- sible; it must be limited in both respects. Such is the line that my proof might have followed. But the above con- cept is not adequate to what we mean by an infinite whole. It does not represent how great it is, and consequently is not the concept of a maxi- mum. Through it we think only its relation to any assign- able unit in respect to which it is greater than all num- ber. According as the unit chosen is greater or smaller, the infinite would be greater or smaller. Infinitude, how- ever, as it consists solely in the relation to the given unit, would always remain the same. The absolute mag- nitude of the whole would not, therefore, be known in this way; P 400a Things, as appearances, determine space, that is, of all its pos- sible predicates of magnitude and relation they determine this or that particular one to belong to the real. Space, on the other hand, viewed as a self-subsistent something, is nothing real in itself; and can- not, therefore, determine the magnitude or shape of real things. Space, it further fol- lows, whether full or empty, may be limited by appear- ances, but appearances can- not be limited by an empty space outside them. This is likewise true of time. But while all this may be granted, it yet cannot be denied that these two non-entities, empty space outside the world and empty time prior to it, have to be assumed if we are to assume a limit to the world in space and in time. ++ It will be evident that what we here desire to say is that empty space, so far as it is limited by appearances, that is, empty space within the world, is at least not contradictory of transcendental principles and may therefore, so far as they are concerned, be admitted. This does not, however, amount to an assertion of its possibility. P 401 indeed, the above concept does not really deal with it. The true transcendental concept of infinitude is this, that the successive synthesis of units required for the enu- meration of a quantum can never be completed. Hence it follows with complete cer- tainty that an eternity of actual successive states lead- ing up to a given (the pre- sent) moment cannot have elapsed, and that the world must therefore have a begin- ning. In the second part of the thesis the difficulty involved in a series that is infinite and yet has elapsed does not arise, since the manifold of a world which is infinite in respect of extension is given as co-exist- ing. But if we are to think the totality of such a multiplicity, and yet cannot appeal to limits that of themselves con- stitute it a totality in intuition, we have to account for a con- cept which in this case cannot proceed from the whole to the determinate multiplicity of the parts, but which must demonstrate the possibility of a whole by means of the successive synthesis of the parts. ++ This quantum therefore contains a quantity (of given units) which is greater than any number -- which is the mathematical con- cept of the infinite. P 400a The method of argument which professes to enable us to avoid the above conse- quence (that of having to P 401a assume that if the world has limits in time and space, the infinite void must determine the magnitude in which actual things are to exist) consists in surreptitiously substituting for the sensible world some intelligible world of which we know nothing; for the first beginning (an exist- ence preceded by a time of non-existence) an existence in general which presupposes no other condition whatso- ever; and for the limits of extension boundaries of the world-whole -- thus getting rid of time and space. But we are here treating only of the mudus phaenomenon and its magnitude, and cannot therefore abstract from the aforesaid conditions of sensi- bility without destroying the very being of that world. If the sensible world is limited, it must necessarily lie in the infinite void. If that void, and consequently space in general as a priori condition of the possibility of appearances, be set aside, the entire sensible world vanishes. This world is all that is given us in our problem. P 402 Now since this synthesis must constitute a never to be completed series, I can- not think a totality either prior to the synthesis or by means of the synthesis. For the concept of totality is in this case itself the representa- tion of a completed synthesis of the parts. And since this completion is impossible, so likewise is the concept of it. THE ANTINOMY OF PURE REASON SECOND CONFLICT OF THE TRANSCENDENTAL IDEAS Thesis Every composite substance in the world is made up of simple parts, and nothing any- where exists save the simple or what is composed of the simple. Proof Let us assume that com- posite substances are not made up of simple parts. If all composition be then re- moved in thought, no com- posite part, and (since we admit no simple parts) also no simple part, that is to say, nothing at all, will remain, and accordingly no substance will be given. Either, there- fore, it is impossible to remove in thought all composition, or after its removal there must remain something which P 403 exists without composition, that is, the simple. P 401a The mundus intelligibilis is nothing but the general concept of a P 402a world in general, in which abstraction is made from all conditions of its intuition, and in reference to which, therefore, no synthetic pro- position, either affirmative or negative, can possibly be asserted. Antithesis No composite thing in the world is made up of simple parts, and there nowhere exists in the world anything simple. Proof Assume that a composite thing (as substance) is made up of simple parts. Since all external relation, and there- fore all composition of sub- stances, is possible only in space, a space must be made up of as many parts as are contained in the composite which occupies it. Space, however, is not made up of simple parts, but of spaces. Every part of the composite must therefore occupy a space. But the absolutely first parts P 403a of every composite are simple. P 403 In the for- mer case the composite would not be made up of substances; composition, as applied to substances, is only an acci- dental relation in independ- ence of which they must still persist as self-subsistent beings. Since this contradicts our supposition, there remains only the original supposition, that a composite of sub- stances in the world is made up of simple parts. If follows, as an immediate consequence, that the things in the world are all, without exception, simple beings; that composition is merely an external state of these beings; and that although we can never so isolate these ele- mentary substances as to take them out of this state of composition, reason must think them as the primary subjects of all composition, and therefore, as simple be- ings, prior to all composition. P 403a The simple therefore occupies a space. Now since every- thing real, which occupies a space, contains in itself a manifold of constituents ex- ternal to one another, and is therefore composite; and since a real composite is not made up of accidents (for accidents could not exist outside one another, in the absence of substance) but of substances, it follows that the simple would be a composite of substances -- which is self- contradictory. The second proposition of the antithesis, that nowhere in the world does there exist anything simple, is intended to mean only this, that the existence of the absolutely simple cannot be established by any experience or percep- tion, either outer or inner; and that the absolutely simple is therefore a mere idea, the objective reality of which can never be shown in any pos- sible experience, and which, as being without an object, has no application in the explanation of the appear- ances. For if we assumed that in experience an object might be found for this tran- scendental idea, the empiri- cal intuition of such an object P 404a would have to be known as one that contains no manifold [factors] external to one an- other and combined into unity. But since from the non-consciousness of such a manifold we cannot conclude to its complete impossibility in every kind of intuition of an object; and since without such proof absolute simplicity can never be established, it follows that such simplicity cannot be inferred from any perception whatsoever. An absolutely simple object can never be given in any pos- sible experience. And since by the world of sense we must mean the sum of all possible experiences, it follows that nothing simple is to be found anywhere in it. This second proposition of the antithesis has a much wider application than the first. Whereas the first pro- position banishes the simple only from the intuition of the composite, the second ex- cludes it from the whole of nature. Accordingly it has not been possible to prove this second proposition by reference to the concept of a given object of outer in- tuition (of the composite), but only by reference to its rela- tion to a possible experience in general. P 405 OBSERVATION ON THE SECOND ANALOGY I. On the Thesis When I speak of a whole as necessarily made up of simple parts I am referring only to a substantial whole that is composite in the strict sense of the term 'composite', that is, to that accidental unity of the manifold which, given as separate (at least in thought), is brought into a mutual connection, and there- by constitutes a unity. Space should properly be called not compositum but totum, since its parts are possible only in the whole, not the whole through the parts. It might, indeed, be called a composi- tum ideale, but not reale. This, however, is a mere subtlety. Since space is not a composite made up of substances (nor even of real accidents), if I remove all compositeness from it, nothing remains, not even the point. For a point is possible only as the limit of a space, and so of a composite. Space and time do not, therefore, consist of simple parts. What belongs only to the state of a substance, even though it has a magnitude, e.g. alteration, does not consist of the simple; P 405a II. On the Antithesis Against the doctrine of the infinite divisibility of matter, the proof of which is purely mathematical, objections have been raised by the monadists. These objections, however, at once lay the monadists open to suspicion. For however evi- dent mathematical proofs may be, they decline to recog- nise that the proofs are based upon insight into the constitu- tion of space, in so far as space is in actual fact the formal condition of the possibility of all matter. They regard them merely as inferences from ab- stract but arbitrary concepts, and so as not being applicable to real things. How can it be possible to invent a different kind of intuition from that given in the original intuition of space, and how can the a - priori determinations of space fail to be directly applicable to what is only possible in so far as it fills this space! Were we to give heed to them, then beside the mathematical point, which, while simple, is not a part but only the limit of a space, we should have to conceive physical points as being likewise P 406a simple, P 406 that is to say, a certain degree of alteration does not come about through the accretion of many simple alterations. Our inference from the com- posite to the simple applies only to self-subsisting things. Accidents of the state [of a thing] are not self-subsisting. Thus the proof of the neces- sity of the simple, as the con- stitutive parts of the sub- stantially composite, can easily be upset (and therewith the thesis as a whole), if it be extended too far and in the absence of a limiting qualifi- cation be made to apply to everything composite -- as has frequently happened. Moreover I am here speak- ing only of the simple in so far as it is necessarily given in the composite -- the latter being resolvable into the simple, as its constituent parts. The word monas, in the strict sense in which it is em- ployed by Leibniz, should refer only to the simple which is immediately given as simple substance e.g. in self-con- sciousness), and not to an element of the composite. This latter is better entitled atomus. As I am seeking to prove the [existence of] simple substances only as elements in the composite, I P 407 might entitle the thesis of the second antinomy, tran- scendental atomistic. P 406a and yet as having the distinguishing characteristic of being able, as parts of space, to fill space through their mere aggregation. With- out repeating the many fa- miliar and conclusive refuta- tions of this absurdity -- it being quite futile to attempt to reason away by sophistical manipulation of purely dis- cursive concepts the evident demonstrated truth of mathe- matics -- I make only one ob- servation, that when philo- sophy here plays tricks with mathematics, it does so be- cause it forgets that in this discussion we are concerned only with appearances and their condition. Here it is not sufficient to find for the pure concept of the com- posite formed by the under- standing the concept of the simple; what has to be found is an intuition of the simple for the intuition of the com- posite (matter). But by the laws of sensibility, and there- fore in objects of the senses, this is quite impossible. Though it may be true that when a whole, made up of substances, is thought by the pure understanding alone, we must, prior to all composi- tion of it, have the simple, P 407 But as this word has long been ap- propriated to signify a parti- cular mode of explaining bodily appearances (mole- culae), and therefore pre- supposes empirical concepts, the thesis may more suitably be entitled the dialectical principle of monadology. P 406a this does not hold of the P 407a totum substantiale phaeno- menon which, as empirical intuition in space, carries with it the necessary char- acteristic that no part of it is simple, because no part of space is simple. The monad- ists have, indeed, been suffi- ciently acute to seek escape from this difficulty by refusing to treat space as a condition of the possibility of the objects of outer intuition (bodies), and by taking instead these and the dynamical relation of substances as the condition of the possibility of space. But we have a concept of bodies only as appearances; and as such they necessarily pre- suppose space as the condi- tion of the possibility of all outer appearance. This eva- sion of the issue is therefore futile, and has already been sufficiently disposed of in the Transcendental Aesthetic. The argument of the monad- ists would indeed be valid if bodies were things in them- selves. The second dialectical as- sertion has this peculiarity, that over against it stands a dogmatic assertion which is the only one of all the pseudo-rational assertions that undertakes to afford mani- fest evidence, in an empirical P 408a object, of the reality of that which we have been ascrib- ing only to transcendental ideas, namely, the absolute simplicity of substance -- I refer to the assertion that the object of inner sense, the 'I' which there thinks, is an absolutely simple sub- stance. Without entering upon this question (it has been fully considered above), I need only remark, that if (as happens in the quite bare representation, 'I') anything is thought as object only, without the addition of any synthetic determination of its intuition, nothing manifold and no compositeness can be perceived in such a representa- tion. Besides, since the predi- cates through which I think this object are merely intui- tions of inner sense, nothing can there be found which shows a manifold [of ele- ments] external to one an- other, and therefore real com- positeness. Self-consciousness is of such a nature that since the subject which thinks is at the same time its own object, it cannot divide itself, though it can divide the de- terminations which inhere in it; for in regard to itself every object is absolute unity. Nevertheless, when this sub- ject is viewed outwardly, as P 409a an object of intuition, it must exhibit [some sort of] com- positeness in its appearance; P 409 THE ANTINOMY OF PURE REASON THIRD CONFLICT OF THE TRANSCENDENTAL IDEAS Thesis Causality in accordance with laws of nature is not the only causality from which the appearances of the world can one and all be derived. To explain these appearances it is necessary to assume that there is also another causality, that of freedom. Proof Let us assume that there is no other causality than that in accordance with laws of nature. This being so, every- thing which takes place pre- supposes a preceding state upon which it inevitably fol- lows according to a rule. But the preceding state must it- self be something which has taken place (having come to be in a time in which it previously was not); P 409a and it must always be viewed in this way if we wish to know whether or not there be in it a manifold [of ele- ments] external to one an- other. Antithesis There is no freedom; every- thing in the world takes place solely in accordance with laws of nature. Proof Assume that there is free- dom in the transcendental sense, as a special kind of causality in accordance with which the events in the world can have come about, namely, a power of absolutely beginning a state, and there- fore also of absolutely begin- ning a series of consequences of that state; P 410 for if it had always existed, its con- sequence also would have always existed, and would not have only just arisen. The causality of the cause through which something takes place is itself, therefore, something that has taken place, which again presup- poses, in accordance with the law of nature, a pre- ceding state and its causality, and this in similar manner a still earlier state, and so on. If, therefore, everything takes place solely in accordance with laws of nature, there will always be only a relative and never a first beginning, and consequently no com- pleteness of the series on the side of the causes that arise the one from the other. But the law of nature is just this, that nothing takes place with- out a cause sufficiently deter- mined a priori. The proposi- tion that no causality is pos- sible save in accordance with laws of nature, when taken in unlimited universality, is therefore self-contradictory; and this cannot, therefore, be regarded as the sole kind of causality. P 409a it then follows that not only will a series have its absolute beginning P 410a in this spontaneity, but that the very determination of this spontaneity to originate the series, that is to say, the causality itself, will have an absolute beginning; there will be no antecedent through which this act, in taking place, is determined in ac- cordance with fixed laws. But every beginning of action presupposes a state of the not yet acting cause; and a dynamical beginning of the action, if it is also a first be- ginning, presupposes a state which has no causal con- nection with the preceding state of the cause, that is to say, in nowise follows from it. Transcendental freedom thus stands opposed to the law of causality; and the kind of connection which it as- sumes as holding between the successive states of the active causes renders all unity of experience impossible. It is not to be met with in any experience, and is therefore an empty thought-entity. In nature alone, therefore, [not in freedom], must we seek for the connection and order of cosmical events. Freedom (independence) from the laws of nature is no doubt a liberation from compulsion, but also from the guidance P 411a of all rules. P 410 We must, then, assume a causality through which some- thing takes place, the cause of which is not itself P 411 determined, in accordance with necessary laws, by another cause antecedent to it, that is to say, an absolute spontaneity of the cause, whereby a series of appearances, which pro- ceeds in accordance with laws of nature, begins of itself. This is transcendental free- dom, without which, even in the [ordinary] course of na- ture, the series of appearances on the side of the causes can never be complete. P 411a For it is not permissible to say that the laws of freedom enter into the causality exhibited in the course of nature, and so take the place of natural laws. If freedom were determined in accordance with laws, it would not be freedom; it would simply be nature under another name. Nature and transcendental freedom differ as do conformity to law and lawlessness. Nature does indeed impose upon the understanding the exacting task of always seeking the origin of events ever higher in the series of causes, their causality being always condi- tioned. But in compensation it holds out the promise of thoroughgoing unity of ex- perience in accordance with laws. The illusion of freedom, on the other hand, offers a point of rest to the enquiring understanding in the chain of causes, conducting it to an unconditioned causality which begins to act of itself. This causality is, however, blind, and abrogates those rules through which alone a completely coherent ex- perience is possible. P 412 OBSERVATION ON THE THIRD ANTINOMY I. On the Thesis The transcendental idea of freedom does not by any means constitute the whole content of the psychological concept of that name, which is mainly empirical. The tran- scendental idea stands only for the absolute spontaneity of an action, as the proper ground of its imputability. This, however, is, for philo- sophy, the real stumbling- block; for there are insur- mountable difficulties in the way of admitting any such type of unconditioned caus- ality. What has always so greatly embarrassed specula- tive reason in dealing with the question of the freedom of the will, is its strictly transcendental aspect. The problem, properly viewed, is solely this: whether we must admit a power of spontane- ously beginning a series of successive things or states. How such a power is possible is not a question which re- quires to be answered in this case, any more than in regard to causality in accordance with the laws of nature. For, [as we have found], we have to remain satisfied with the P 413 a priori knowledge that this latter type of causality must be presupposed; P 412a II. On the Antithesis The defender of an om- nipotent nature (transcend- ental physiocracy), in main- taining his position against the pseudo-rational argu- ments offered in support of the counter-doctrine of freedom, would argue as follows. If you do not, as regards time, admit anything as being mathematically first in the world, there is no necessity, as regards causality, for seek- ing something that is dynamic- ally first. What authority have you for inventing an absolutely first state of the world, and therefore an abso- lute beginning of the ever- flowing series of appearances, and so of procuring a resting- place for your imagination by setting bounds to limitless nature? Since the substances in the world have always existed -- at least the unity of experience renders necessary such a supposition -- there is no difficulty in assuming that change of their states, that is, a series of their alterations, has likewise always existed, and therefore that a first begin- ning, whether mathematical or dynamical, is not to be looked for. P 413 we are not in the least able to comprehend how it can be possible that through one existence the existence of another is determined, and for this reason must be guided by experience alone. The necessity of a first beginning, due to freedom, of a series of appearances we have demon- strated only in so far as it is required to make an origin of the world conceivable; for all the later following states can be taken as resulting ac- cording to purely natural laws. But since the power of spontaneously beginning a series in time is thereby proved (though not under- stood), it is now also per- missible for us to admit within the course of the world different series as cap- able in their causality of beginning of themselves, and so to attribute to their sub- stances a power of acting from freedom. And we must not allow ourselves to be prevented from drawing this conclusion by a misapprehen- sion, namely that, as a series occurring in the world can have only a relatively first beginning, being always pre- ceded in the world by some other state of things, no P 414 absolute first beginning of a series is possible during the course of the world. P 413a The possibility of such an infinite derivation, without a first member to which all the rest is merely a sequel, cannot indeed, in re- spect of its possibility, be ren- dered comprehensible. But if for this reason you refuse to recognise this enigma in nature, you will find yourself compelled to reject many fundamental synthetic pro- perties and forces, which as little admit of comprehension. The possibility even of altera- tion itself would have to be denied. For were you not assured by experience that alteration actually occurs, you would never be able to excogitate a priori the pos- sibility of such a ceaseless sequence of being and not- being. Even if a transcendental power of freedom be allowed, as supplying a beginning of happenings in the world, this power would in any case have to be outside the world (though any such assump- tion that over and above the sum of all possible intuitions there exists an object which cannot be given in any pos- sible perception, is still a very bold one). But to ascribe to substances in the world itself such a power, can never be permissible; P 414 For the absolutely first beginning of which we are here speaking is not a beginning in time, but in causality. If, for in- stance, I at this moment arise from my chair, in com- plete freedom, without being necessarily determined thereto by the influence of natural causes, a new series, with all its natural consequences in infinitum, has its absolute beginning in this event, al- though as regards time this event is only the continuation of a preceding series. For this resolution and act of mine do not form part of the succession of purely natural effects, and are not a mere continuation of them. In respect of its happening, natural causes exercise over it no determin- ing influence whatsoever. It does indeed follow upon them, but without arising out of them; and accordingly, in respect of causality though not of time, must be entitled an absolutely first beginning of a series of appearances. P 414a for, should this be done, that connection of appearances determining one another with necessity ac- cording to universal laws, which we entitle nature, and with it the criterion of em- pirical truth, whereby experi- ence is distinguished from dreaming, would almost en- tirely disappear. Side by side with such a lawless faculty of freedom, nature [as an ordered system] is hardly thinkable; the influences of the former would so un- ceasingly alter the laws of the latter that the appear- ances which in their natural course are regular and uni- form would be reduced to disorder and incoherence. P 414 This requirement of reason, that we appeal in the series of natural causes to a first beginning, due to freedom, is amply confirmed when we observe that all the P 415 philosophers of antiquity, with the sole exception of the Epi- curean School, felt them- selves obliged, when explain- ing cosmical movements, to assume a prime mover, that is, a freely acting cause, which first and of itself began this series of states. They made no attempt to render a first be- ginning conceivable through nature's own resources. THE ANTINOMY OF PURE REASON FOURTH CONFLICT OF THE TRANSCENDENTAL IDEAS Thesis There belongs to the world, either as its part or as its cause, a being that is abso- lutely necessary. Proof The sensible world, as the sum-total of all appearances, contains a series of alterations. For without such a series even the representation of serial time, as a condition of the possibility of the sensible world, would not be given us. ++ Time, as the formal condition of the possibility of changes, is indeed objectively prior to them; subjectively, however, in actual consciousness, the representation of time, like every other, is given only in connection with perceptions. P 415a Antithesis An absolutely necessary being nowhere exists in the world, nor does it exist out- side the world as its cause. Proof If we assume that the world itself is necessary, or that a necessary being exists in it, there are then two alter- natives. Either there is a be- ginning in the series of alter- ations which is absolutely necessary, and therefore with- out a cause, or the series it- self is without any beginning, and although contingent and P 416a conditioned in all its parts, none the less, as a whole, is absolutely necessary and un- conditioned. P 415 But every alteration stands under its condition, which pre- cedes it in time and renders P 416 it necessary. Now every con- ditioned that is given pre- supposes, in respect of its existence, a complete series of conditions up to the uncon- ditioned, which alone is abso- lutely necessary. Alteration thus existing as a consequence of the absolutely necessary, the existence of something absolutely necessary must be granted. But this neces- sary existence itself belongs to the sensible world. For if it existed outside that world, the series of alterations in the world would derive its begin- ning from a necessary cause which would not itself belong to the sensible world. This, however, is impossible. For since the beginning of a series in time can be determined only by that which precedes it in time, the highest condi- tion of the beginning of a series of changes must exist in the time when the series as yet was not (for a begin- ning is an existence preceded by a time in which the thing that begins did not yet exist). P 416a The former alternative, however, conflicts with the dynamical law of the determination of all appear- ances in time; and the latter alternative contradicts itself, since the existence of a series cannot be necessary if no single member of it is neces- sary. If, on the other hand, we assume that an absolutely necessary cause of the world exists outside the world, then this cause, as the highest member in the series of the causes of changes in the world, must begin the exist- ence of the latter and their series. Now this cause must itself begin to act, and its causality would therefore be in time, and so would be- long to the sum of appear- ances, that is, to the world. It follows that it itself, the cause, would not be outside the world -- which contradicts our hypothesis. ++ The word 'begin' is taken in two senses; first as active, signify- ing that as cause it begins (infit) a series of states which is its effect; secondly as passive, signifying the causality which begins to operate (fit) in the cause itself. I reason here from the former to the latter meaning. P 416 Accordingly the causality of the necessary cause of P 417 alterations, and therefore the cause itself, must belong to time and so to appearance -- time being possible only as the form of appearance. Such causality cannot, therefore, be thought apart from that sum of all appearances which constitutes the world of sense. Something absolutely neces- sary is therefore contained in the world itself, whether this something be the whole series of alterations in the world or a part of the series. OBSERVATION ON THE FOURTH ANTINOMY I. On the Thesis In proving the existence of a necessary being I ought not, in this connection, to employ any but the cosmo- logical argument, that, namely, which ascends from the conditioned in the [field of] appearance to the un- conditioned in concept, this latter being regarded as the necessary condition of the absolute totality of the series. To seek proof of this from the mere idea of a supreme being belongs to another principle of reason, and will have to be treated separately. The pure cosmological proof, in demonstrating the existence of a necessary being, P 418 has to leave unsettled whether this being is the world itself or a thing distinct from it. P 416a Therefore neither in the world, nor outside the world (though in causal P 417a connection with it), does there exist any absolutely necessary being. II. On the Antithesis The difficulties in the way of asserting the existence of an absolutely necessary high- est cause, which we suppose ourselves to meet as we ascend in the series of appear- ances, cannot be such as arise in connection with mere concepts of the necessary existence of a thing in general. The difficulties are not, there- fore, ontological, but must concern the causal connection of a series of appearances for which a condition has to be assumed that is itself un- conditioned, and so must be cosmological, and relate to empirical laws. P 418 To establish the latter view, we should require principles which are no longer cosmo- logical and do not continue in the series of appearances. For we should have to employ concepts of contingent beings in general (viewed as objects of the understanding alone) and a principle which will enable us to connect these, by means of mere concepts, with a necessary being. But all this belongs to a tran- scendent philosophy; and that we are not yet in a position to discuss. If we begin our proof cosmologically, resting it upon the series of appearances and the regress therein according to empirical laws of causality, we must not afterwards sud- denly deviate from this mode of argument, passing over to something that is not a mem- ber of the series. Anything taken as condition must be viewed precisely in the same manner in which we viewed the relation of the condi- tioned to its condition in the series which is supposed to carry us by continuous ad- vance to the supreme condi- tion. P 417 It must be shown that regress in the P 418a series of causes (in the sensible world) can never terminate in an empirically unconditioned condition, and that the cosmological argu- ment from the contingency of states of the world, as evidenced by their alterations, does not support the assump- tion of a first and absolutely originative cause of the series. A strange situation is dis- closed in this antinomy. From the same ground on which, in the thesis, the ex- istence of an original being was inferred, its non-exist- ence is inferred in the anti- thesis, and this with equal stringency. We were first assured that a necessary being exists because the whole of past time comprehends the series of all conditions and therefore also the uncondi- tioned (that is, the necessary); we are now assured that there is no necessary being, and precisely for the reason that the whole of past time com- prehends the series of all conditions (which therefore are one and all themselves conditioned). The explana- tion is this. The former argu- ment takes account only of the absolute totality of the series of conditions deter- mining each other in time, P 419a and so reaches what is un- conditioned and necessary. P 419 If, then, this relation is sensible and falls within the province of the possible em- pirical employment of under- standing, the highest condi- tion or cause can bring the regress to a close only in accordance with the laws of sensibility, and therefore only in so far as it itself belongs to the temporal series. The necessary being must there- fore be regarded as the highest member of the cosmical series. Nevertheless certain think- ers have allowed themselves the liberty of making such a saltus (metabasis eis allo genos. From the alterations in the world they have in- ferred their empirical con- tingency, that is, their de- pendence on empirically de- termining causes, and so have obtained an ascending series of empirical conditions. And so far they were entirely in the right. But since they could not find in such a series any first beginning, or any highest member, they passed suddenly from the empirical concept of con- tingency, and laid hold upon the pure category, which then gave rise to a strictly intelli- gible series the completeness of which rested on the exist- ence of an absolutely neces- sary cause. P 419a The latter argument, on the other hand, takes into con- sideration the contingency of everything which is deter- mined in the temporal series (everything being preceded by a time in which the condi- tion must itself again be determined as conditioned), and from this point of view everything unconditioned and all absolute necessity com- pletely vanish. Nevertheless, the method of argument in both cases is entirely in con- formity even with ordinary human reason, which fre- quently falls into conflict with itself through considering its object from two different points of view. M. de Mairan regarded the controversy be- tween two famous astrono- mers, which arose from a similar difficulty in regard to choice of standpoint, as a sufficiently remarkable phe- nomenon to justify his writing a special treatise upon it. The one had argued that the moon revolves on its own axis, because it always turns the same side towards the earth. The other drew the opposite conclusion that the moon does not revolve on its own axis, because it always P 420a turns the same side towards the earth. P 420 Since this cause was not bound down to any sensible conditions, it was freed from the temporal con- dition which would require that its causality should itself have a beginning. But such procedure is entirely illegiti- mate, as may be gathered from what follows. In the strict meaning of the category, the contingent is so named because its contra- dictory opposite is possible. Now we cannot argue from empirical contingency to in- telligible contingency. When anything is altered, the op- posite of its state is actual at another time, and is there- fore possible. This present state is not, however, the contradictory opposite of the preceding state. To obtain such a contradictory opposite we require to conceive, that in the same time in which the preceding state was, its op- posite could have existed in its place, and this can never be inferred from [the fact of] the alteration. A body which was in motion (= A) comes to rest (= non-A). Now from the fact that a state opposite to the state A follows upon the state A, we cannot argue that the contradictory op- posite of A is possible, and that A is therefore con- tingent. P 420a Both inferences were correct, according to the point of view which each chose in observing the moon's motion. P 421 To prove such a conclusion, it would have to be shown that in place of the motion, and at the time at which it occurred, there could have been rest. All that we know is that rest was real in the time that followed upon the motion, and was therefore likewise possible. Motion at one time and rest at another time are not related as contra- dictory opposites. Accord- ingly the succession of op- posite determinations, that is, alteration, in no way estab- lishes contingency of the type represented in the concepts of pure understanding; and can- not therefore carry us to the existence of a necessary being, similarly conceived in purely intelligible terms. Alteration proves only empirical con- tingency; that is, that the new state, in the absence of a cause which belongs to the preceding time, could never of itself have taken place. Such is the condition pre- scribed by the law of causal- ity. This cause, even if it be viewed as absolutely neces- sary, must be such as can be thus met with in time, and must belong to the series of appearances. P 422 THE ANTINOMY OF PURE REASON Section 3 THE INTEREST OF REASON IN THESE CONFLICTS We have now completely before us the dialectic play of cosmological ideas. The ideas are such that an object congruent with them can never be given in any possible experience, and that even in thought reason is unable to bring them into har- mony with the universal laws of nature. Yet they are not arbitrarily conceived. Reason, in the continuous advance of empirical synthesis, is necessarily led up to them whenever it endeavours to free from all conditions and apprehend in its unconditioned totality that which according to the rules of experience can never be determined save as conditioned. These pseudo-rational assertions are so many attempts to solve four natural and unavoidable problems of reason. There are just so many, neither more nor fewer, owing to the fact that there are just four series of synthetic presuppositions which impose a priori limitations on the empirical synthesis. The proud pretensions of reason, when it strives to extend its domain beyond all limits of experience, we have represented only in dry formulas that contain merely the ground of their legal claims. As befits a transcendental philosophy, they have been divested of all empirical features, although only in con- nection therewith can their full splendour be displayed. But in this empirical application, and in the progressive extension of the employment of reason, philosophy, beginning with the field of our experiences and steadily soaring to these lofty ideas, displays a dignity and worth such that, could it but make good its pretensions, it would leave all other human science far behind. For it promises a secure foundation for our high- est expectations in respect of those ultimate ends towards which all the endeavours of reason must ultimately converge. Whether the world has a beginning [in time] and any limit to its extension in space; whether there is anywhere, and perhaps in my thinking self, an indivisible and indestructible unity, or nothing but what is divisible and transitory; whether I am free in my actions or, like other beings, am led by the hand of P 423 nature and of fate; whether finally there is a supreme cause of the world, or whether the things of nature and their order must as the ultimate object terminate thought -- an object that even in our speculations can never be transcended: these are questions for the solution of which the mathematician would gladly exchange the whole of his science. For mathematics can yield no satisfaction in regard to those highest ends that most closely concern humanity. And yet the very dignity of mathematics (that pride of human reason) rests upon this, that it guides reason to knowledge of nature in its order and regularity -- alike in what is great in it and in what is small -- and in the extraordinary unity of its moving forces, thus rising to a degree of insight far beyond what any philosophy based on ordinary experience would lead us to expect; and so gives occasion and encouragement to an employment of reason that is extended beyond all experience, and at the same time supplies it with the most excellent materials for support- ing its investigations -- so far as the character of these permits -- by appropriate intuitions. Unfortunately for speculation, though fortunately perhaps for the practical interests of humanity, reason, in the midst of its highest expectations, finds itself so compromised by the conflict of opposing arguments, that neither its honour nor its security allows it to withdraw and treat the quarrel with indifference as a mere mock fight; and still less is it in a posi- tion to command peace, being itself directly interested in the matters in dispute. Accordingly, nothing remains for reason save to consider whether the origin of this conflict, whereby it is divided against itself, may not have arisen from a mere misunderstanding. In such an enquiry both parties, per chance, may have to sacrifice proud claims; but a lasting and peaceful reign of reason over understanding and the senses would thereby be inaugurated. For the present we shall defer this thorough enquiry, in order first of all to consider upon which side we should prefer to fight, should we be compelled to make choice between the opposing parties. The raising of this question, how we should proceed if we consulted only our interest and not the logical criterion of truth, will decide nothing in regard to P 424 the contested rights of the two parties, but has this advantage, that it enables us to comprehend why the participants in this quarrel, though not influenced by any superior insight into the matter under dispute, have preferred to fight on one side rather than on the other. It will also cast light on a number of incidental points, for instance, the passionate zeal of the one party and the calm assurance of the other; and will explain why the world hails the one with eager approval, and is im- placably prejudiced against the other. Comparison of the principles which form the starting- points of the two parties is what enables us, as we shall find, to determine the standpoint from which alone this preliminary enquiry can be carried out with the required thoroughness. In the assertions of the antithesis we observe a perfect uniformity in manner of thinking and complete unity of maxims, namely a principle of pure empiricism, applied not only in explana- tion of the appearances within the world, but also in the solution of the transcendental ideas of the world itself, in its totality. The assertions of the thesis, on the other hand, pre- suppose, in addition to the empirical mode of explanation employed within the series of appearances, intelligible begin- nings; and to this extent its maxim is complex. But as its essential and distinguishing characteristic is the presupposi- tion of intelligible beginnings, I shall entitle it the dogmatism of pure reason. In the determination of the cosmological ideas, we find on the side of dogmatism, that is, of the thesis: First, a certain practical interest in which every right- thinking man, if he has understanding of what truly concerns him, heartily shares. That the world has a beginning, that my thinking self is of simple and therefore indestructible nature, that it is free in its voluntary actions and raised above the compulsion of nature, and finally that all order in the things constituting the world is due to a primordial being, from which everything derives its unity and purposive connection -- these are so many foundation stones of morals and religion. The antithesis robs us of all these supports, or at least appears to do so. Secondly, reason has a speculative interest on the side of P 425 the thesis. When the transcendental ideas are postulated and employed in the manner prescribed by the thesis, the entire chain of conditions and the derivation of the conditioned can be grasped completely a priori. For we then start from the unconditioned. This is not done by the antithesis, which for this reason is at a very serious disadvantage. To the question as to the conditions of its synthesis it can give no answer which does not lead to the endless renewal of the same enquiry. According to the antithesis, every given beginning compels us to advance to one still higher; every part leads to a still smaller part; every event is preceded by another event as its cause; and the conditions of existence in general rest always again upon other conditions, without ever obtaining unconditioned foot- ing and support in any self-subsistent thing, viewed as prim- ordial being. Thirdly, the thesis has also the advantage of popularity; and this certainly forms no small part of its claim to favour. The common understanding finds not the least difficulty in the idea of the unconditioned beginning of all synthesis. Being more accustomed to descend to consequences than to ascend to grounds, it does not puzzle over the possibility of the abso- lutely first; on the contrary, it finds comfort in such concepts, and at the same time a fixed point to which the thread by which it guides its movements can be attached. In the restless ascent from the conditioned to the condition, always with one foot in the air, there can be no satisfaction. In the determination of the cosmological ideas we find on the side of empiricism, that is, of the antithesis: first, no such practical interest (due to pure principles of reason) as is pro- vided for the thesis by morals and religion. On the contrary, pure empiricism appears to deprive them of all power and in- fluence. If there is no primordial being distinct from the world, if the world is without beginning and therefore without an Author, if our will is not free, and the soul is divisible and perishable like matter, moral ideas and principles lose all validity, and share in the fate of the transcendental ideas which served as their theoretical support. But secondly, in compensation, empiricism yields advan- tages to the speculative interest of reason, which are very P 426 attractive and far surpass those which dogmatic teaching bearing on the ideas of reason can offer. According to the principle of empiricism the understanding is always on its own proper ground, namely, the field of genuinely possible experi- ences, investigating their laws, and by means of these laws affording indefinite extension to the sure and comprehensible knowledge which it supplies. Here every object, both in itself and in its relations, can and ought to be represented in in- tuition, or at least in concepts for which the corresponding images can be clearly and distinctly provided in given similar intuitions. There is no necessity to leave the chain of the natural order and to resort to ideas, the objects of which are not known, because, as mere thought-entities, they can never be given. Indeed, the understanding is not permitted to leave its proper business, and under the pretence of having brought it to completion to pass over into the sphere of idealising reason and of transcendent concepts -- a sphere in which it is no longer necessary for it to observe and investigate in accordance with the laws of nature, but only to think and to invent in the assurance that it cannot be refuted by the facts of nature, not being bound by the evidence which they yield, but presuming to pass them by or even to subordinate them to a higher authority, namely, that of pure reason. The empiricist will never allow, therefore, that any epoch of nature is to be taken as the absolutely first, or that any limit of his insight into the extent of nature is to be regarded as the widest possible. Nor does he permit any transition from the objects of nature -- which he can analyse through observa- tion and mathematics, and synthetically determine in intuition (the extended) -- to those which neither sense nor imagination can ever represent in concreto (the simple). Nor will he admit the legitimacy of assuming in nature itself any power that operates independently of the laws of nature (freedom), and so of encroaching upon the business of the understanding, which is that of investigating, according to necessary rules, the origin of appearances. And, lastly, he will not grant that a cause ought ever to be sought outside nature, in an original being. We know nothing but nature, since it alone can present objects to us and instruct us in regard to their laws. P 427 If the empirical philosopher had no other purpose in pro- pounding his antithesis than to subdue the rashness and pre- sumption of those who so far misconstrue the true vocation of reason as to boast of insight and knowledge just where true in- sight and knowledge cease, and to represent as furthering spec- ulative interests that which is valid only in relation to practical interests (in order, as may suit their convenience, to break the thread of physical enquiries, and then under the pretence of ex- tending knowledge to fasten it to transcendental ideas, through which we really know only that we know nothing); if, I say, the empiricist were satisfied with this, his principle would be a maxim urging moderation in our pretensions, modesty in our assertions, and yet at the same time the greatest possible extension of our understanding, through the teacher fittingly assigned to us, namely, through experience. If such were our procedure, we should not be cut off from employing intel- lectual presuppositions and faith on behalf of our practical interest; only they could never be permitted to assume the title and dignity of science and rational insight. Knowledge, which as such is speculative, can have no other object than that supplied by experience; if we transcend the limits thus imposed, the synthesis which seeks, independently of experi- ence, new species of knowledge, lacks that substratum of intuition upon which alone it can be exercised. But when empiricism itself, as frequently happens, be- comes dogmatic in its attitude towards ideas, and confidently denies whatever lies beyond the sphere of its intuitive know- ledge, it betrays the same lack of modesty; and this is all the more reprehensible owing to the irreparable injury which is thereby caused to the practical interests of reason. The contrast between the teaching of Epicurus and that of Plato is of this nature. ++ It is, however, open to question whether Epicurus ever pro- pounded these principles as objective assertions. If perhaps they were for him nothing more than maxims for the speculative employ- ment of reason, then he showed in this regard a more genuine philo- sophical spirit than any other of the philosophers of antiquity. That, in explaining the appearances, we must proceed as if the field of our enquiry were not circumscribed by any limit or beginning of the world; that we must assume the material composing the world to be such as it must be if we are to learn about it from experience; P 428 Each of the two types of philosophy says more than it knows. The former encourages and furthers knowledge, though to the prejudice of the practical; the latter supplies excellent practical principles, but it permits reason to indulge in ideal explanations of natural appearances, in regard to which a speculative knowledge is alone possible to us -- to the neglect of physical investigation. Finally, as regards the third factor which has to be con- sidered in a preliminary choice between the two conflicting parties, it is extremely surprising that empiricism should be so universally unpopular. The common understanding, it might be supposed, would eagerly adopt a programme which pro- mises to satisfy it through exclusively empirical knowledge and the rational connections there revealed -- in preference to the transcendental dogmatism which compels it to rise to concepts far outstripping the insight and rational faculties of the most practised thinkers. But this is precisely what com- mends such dogmatism to the common understanding. For it then finds itself in a position in which the most learned can claim no advantage over it. If it understands little or nothing about these matters, no one can boast of understanding much more; and though in regard to them it cannot express itself in so scholastically correct a manner as those with special train- ing, nevertheless there is no end to the plausible arguments which it can propound, wandering as it does amidst mere ideas, about which no one knows anything, and in regard to which it is therefore free to be as eloquent as it pleases; ++ that we must postulate no other mode of the production of events than one which will enable them to be [regarded as] determined through unalterable laws of nature; and finally that no use must be made of any cause distinct from the world -- all these principles still [retain their value]. They are very sound principles (though seldom observed) for extending the scope of speculative philosophy, while at the same time [enabling us] to discover the principles of morality without depending for this discovery upon alien [i.e. non-moral, theoretical] sources; and it does not follow in the least that those who require us, so long as we are occupied with mere speculation, to ignore these dogmatic propositions [that there is a limit and beginning to the world, a Divine Cause, etc. ], can justly be accused of wishing to deny them. P 429 whereas when matters that involve the investigation of nature are in question, it has to stand silent and to admit its ignorance. Thus indolence and vanity combine in sturdy support of these prin- ciples. Besides, although the philosopher finds it extremely hard to accept a principle for which he can give no justifica- tion, still more to employ concepts the objective reality of which he is unable to establish, nothing is more usual in the case of the common understanding. It insists upon having something from which it can make a confident start. The difficulty of even conceiving this presupposed starting-point does not disquiet it. Since it is unaware what conceiving really means, it never occurs to it to reflect upon the assumption; it accepts as known whatever is familiar to it through frequent use. For the common understanding, indeed, all speculative interests pale before the practical; and it imagines that it comprehends and knows what its fears or hopes incite it to assume or to believe. Thus empiricism is entirely devoid of the popularity of tran- scendentally idealising reason; and however prejudicial such empiricism may be to the highest practical principles, there is no need to fear that it will ever pass the limits of the Schools, and acquire any considerable influence in the general life or any real favour among the multitude. Human reason is by nature architectonic. That is to say, it regards all our knowledge as belonging to a possible system, and therefore allows only such principles as do not at any rate make it impossible for any knowledge that we may attain to combine into a system with other knowledge. But the proposi- tions of the antithesis are of such a kind that they render the completion of the edifice of knowledge quite impossible. They maintain that there is always to be found beyond every state of the world a more ancient state, in every part yet other parts similarly divisible, prior to every event still another event which itself again is likewise generated, and that in existence in general everything is conditioned, an unconditioned and first existence being nowhere discernible. Since, therefore, the antithesis thus refuses to admit as first or as a beginning anything that could serve as a foundation for building, a P 430 complete edifice of knowledge is, on such assumptions, alto- gether impossible. Thus the architectonic interest of reason -- the demand not for empirical but for pure a priori unity of reason -- forms a natural recommendation for the assertions of the thesis. If men could free themselves from all such interests, and consider the assertions of reason irrespective of their conse- quences, solely in view of the intrinsic force of their grounds, and were the only way of escape from their perplexities to give adhesion to one or other of the opposing parties, their state would be one of continuous vacillation. To-day it would be their conviction that the human will is free; to-morrow, dwelling in reflection upon the indissoluble chain of nature, they would hold that freedom is nothing but self-deception, that everything is simply nature. If, however, they were summoned to action, this play of the merely speculative reason would, like a dream, at once cease, and they would choose their principles exclusively in accordance with practi- cal interests. Since, however, it is fitting that a reflective and enquiring being should devote a certain amount of time to the examination of his own reason, entirely divesting himself of all partiality and openly submitting his observations to the judgment of others, no one can be blamed for, much less pro- hibited from, presenting for trial the two opposing parties, leaving them, terrorised by no threats, to defend themselves as best they can, before a jury of like standing with themselves, that is, before a jury of fallible men. THE ANTINOMY OF PURE REASON Section 4 THE ABSOLUTE NECESSITY OF A SOLUTION OF THE TRANSCENDENTAL PROBLEMS OF PURE REASON To profess to solve all problems and to answer all questions would be impudent boasting, and would argue such extrava- gant self-conceit as at once to forfeit all confidence. Neverthe- less there are sciences the very nature of which requires that every question arising within their domain should be com- P 431 pletely answerable in terms of what is known, inasmuch as the answer must issue from the same sources from which the question proceeds. In these sciences it is not permissible to plead unavoidable ignorance; the solution can be demanded. We must be able, in every possible case, in accordance with a rule, to know what is right and what is wrong, since this con- cerns our obligation, and we have no obligation to that which we cannot know. In the explanation of natural appearances, on the other hand, much must remain uncertain and many questions insoluble, because what we know of nature is by no means sufficient, in all cases, to account for what has to be ex- plained. The question, therefore, is whether in transcendental philosophy there is any question relating to an object pre- sented to pure reason which is unanswerable by this reason, and whether we may rightly excuse ourselves from giving a decisive answer. In thus excusing ourselves, we should have to show that any knowledge which we can acquire still leaves us in complete uncertainty as to what should be ascribed to the object, and that while we do indeed have a concept suffi- cient to raise a question, we are entirely lacking in materials or power to answer the same. Now I maintain that transcendental philosophy is unique in the whole field of speculative knowledge, in that no ques- tion which concerns an object given to pure reason can be insoluble for this same human reason, and that no excuse of an unavoidable ignorance, or of the problem's unfathomable depth, can release us from the obligation to answer it thor- oughly and completely. That very concept which puts us in a position to ask the question must also qualify us to answer it, since, as in the case of right and wrong, the object is not to be met with outside the concept. In transcendental philosophy, however, the only questions to which we have the right to demand a sufficient answer bearing on the constitution of the object, and from answering which the philosopher is not permitted to excuse himself on the plea of their impenetrable obscurity, are the cosmological. These questions [bearing on the constitution of the object] must refer exclusively to cosmological ideas. For the object must be given empirically, the question being only as to its conformity to an idea. If, on the other hand, the object is P 432 transcendental, and therefore itself unknown; if, for instance, the question be whether that something, the appearance of which (in ourselves) is thought (soul), is in itself a simple being, whether there is an absolutely necessary cause of all things, and so forth, what we have then to do is in each case to seek an object for our idea; and we may well confess that this object is unknown to us, though not therefore impossible. The cos- mological ideas alone have the peculiarity that they can pre- suppose their object, and the empirical synthesis required for its concept, as being given. The question which arises out of these ideas refers only to the advance in this synthesis, that is, whether it should be carried so far as to contain absolute totality -- such totality, since it cannot be given in any experi- ence, being no longer empirical. Since we are here dealing solely with a thing as object of a possible experience, not as a thing in itself, the answer to the transcendent cosmological question cannot lie anywhere save in the idea. We are not asking what is the constitution of any object in itself, nor as regards possible experience are we enquiring what can be given in concreto in any experience. Our sole question is as to what lies in the idea, to which the empirical synthesis can do no more than merely approximate; the question must therefore be capable of being solved entirely from the idea. Since the idea is a mere creature of reason, reason cannot disclaim its responsibility and saddle it upon the unknown object. ++ Although to the question, what is the constitution of a tran- scendental object, no answer can be given stating what it is, we can yet reply that the question itself is nothing, because there is no given object [corresponding] to it. Accordingly all questions dealt with in the transcendental doctrine of the soul are answerable in this latter manner, and have indeed been so answered; its questions refer to the transcendental subject of all inner appear- ances, which is not itself appearance and consequently not given as object, and in which none of the categories (and it is to them that the question is really directed) meet with the conditions re- quired for their application. We have here a case where the com- mon saying holds, that no answer is itself an answer. A question as to the constitution of that something which cannot be thought through any determinate predicate -- inasmuch as it is completely outside the sphere of those objects which can be given to us -- is entirely null and void. P 433 It is not so extraordinary as at first seems the case, that a science should be in a position to demand and expect none but assured answers to all the questions within its domain (quae- stiones domesticae), although up to the present they have per- haps not been found. In addition to transcendental philosophy, there are two pure rational sciences, one purely speculative, the other with a practical content, namely, pure mathematics and pure ethics. Has it ever been suggested that, because of our necessary ignorance of the conditions, it must remain un- certain what exact relation, in rational or irrational numbers, a diameter bears to a circle? Since no adequate solution in terms of rational numbers is possible, and no solution in terms of irrational numbers has yet been discovered, it was con- cluded that at least the impossibility of a solution can be known with certainty, and of this impossibility Lambert has given the required proof. In the universal principles of morals nothing can be uncertain, because the principles are either altogether void and meaningless, or must be derived from the concepts of our reason. In natural science, on the other hand, there is endless conjecture, and certainty is not to be counted upon. For the natural appearances are objects which are given to us independently of our concepts, and the key to them lies not in us and our pure thinking, but outside us; and therefore in many cases, since the key is not to be found, an assured solution is not to be expected. I am not, of course, here referring to those questions of the Transcendental Analytic which concern the deduction of our pure knowledge; we are at present treating only of the certainty of judgments with respect to their objects and not with respect to the source of our concepts themselves. The obligation of an at least critical solution of the ques- tions which reason thus propounds to itself, we cannot, there- fore, escape by complaints of the narrow limits of our reason, and by confessing, under the pretext of a humility based on self- knowledge, that it is beyond the power of our reason to deter- mine whether the world exists from eternity or has a begin- ning; whether cosmical space is filled with beings to infinitude, P 434 or is enclosed within certain limits; whether anything in the world is simple, or everything such as to be infinitely divisible; whether there is generation and production through freedom, or whether everything depends on the chain of events in the natural order; and finally whether there exists any being com- pletely unconditioned and necessary in itself, or whether every- thing is conditioned in its existence and therefore dependent on external things and itself contingent. All these questions refer to an object which can be found nowhere save in our thoughts, namely, to the absolutely unconditioned totality of the syn- thesis of appearances. If from our own concepts we are unable to assert and determine anything certain, we must not throw the blame upon the object as concealing itself from us. Since such an object is nowhere to be met with outside our idea, it is not possible for it to be given. The cause of failure we must seek in our idea itself. For so long as we obstinately persist in assuming that there is an actual object corresponding to the idea, the problem, as thus viewed, allows of no solution. A clear exposition of the dialectic which lies within our concept itself would soon yield us complete certainty how we ought to judge in reference to such a question. The pretext that we are unable to obtain certainty in regard to these problems can be at once met with the following question which certainly calls for a clear answer: Whence come those ideas, the solution of which involves us in such difficulty? Is it, perchance, appearances that demand explanation, and do we, in accordance with these ideas, have to seek only the principles or rules of their exposition? Even if we suppose the whole of nature to be spread out before us, and that of all that is pre- sented to our intuition nothing is concealed from our senses and consciousness, yet still through no experience could the object of our ideas be known by us in concreto. For that purpose, in addition to this exhaustive intuition, we should require what is not possible through any empirical knowledge, namely, a completed synthesis and the consciousness of its absolute totality. Accordingly our question does not require to be raised in the explanation of any given appearance, and is therefore not a question which can be regarded as imposed on us by the object itself. The object can never come before us, since it cannot be given through any possible experience. In all P 435 possible perceptions we always remain involved in conditions, whether in space or in time, and come upon nothing un- conditioned requiring us to determine whether this uncondi- tioned is to be located in an absolute beginning of synthesis, or in an absolute totality of a series that has no beginning. In its empirical meaning, the term 'whole' is always only com- parative. The absolute whole of quantity (the universe), the whole of division, of derivation, of the condition of existence in general, with all questions as to whether it is brought about through finite synthesis or through a synthesis requiring infinite extension, have nothing to do with any possible experience. We should not, for instance, in any wise be able to explain the appearances of a body better, or even differently, in assuming that it consisted either of simple or of inexhaustibly com- posite parts; for neither a simple appearance nor an infinite composition can ever come before us. Appearances demand explanation only so far as the conditions of their explanation are given in perception; but all that may ever be given in this way, when taken together in an absolute whole, is not itself a perception. Yet it is just the explanation of this very whole that is demanded in the transcendental problems of reason. Thus the solution of these problems can never be found in experience, and this is precisely the reason why we should not say that it is uncertain what should be ascribed to the object [of our idea]. For as our object is only in our brain, and cannot be given outside it, we have only to take care to be at one with ourselves, and to avoid that amphiboly which transforms our idea into a supposed representation of an object that is empirically given and therefore to be known according to the laws of experience. The dogmatic solution is therefore not only uncertain, but impossible. The critical solu- tion, which allows of complete certainty, does not consider the question objectively, but in relation to the foundation of the knowledge upon which the question is based. P 436 THE ANTINOMY OF PURE REASON Section 5 SCEPTICAL REPRESENTATION OF THE COSMOLOGICAL QUESTIONS IN THE FOUR TRANSCENDENTAL IDEAS We should of ourselves desist from the demand that our questions be answered dogmatically, if from the start we understood that whatever the dogmatic answer might turn out to be it would only increase our ignorance, and cast us from one inconceivability into another, from one obscurity into another still greater, and perhaps even into contradictions. If our question is directed simply to a yes or no, we are well advised to leave aside the supposed grounds of the answer, and first consider what we should gain according as the answer is in the affirmative or in the negative. Should we then find that in both cases the outcome is mere nonsense, there will be good reason for instituting a critical examination of our question, to determine whether the question does not itself rest on a ground- less presupposition, in that it plays with an idea the falsity of which can be more easily detected through study of its applica- tion and consequences than in its own separate representation. This is the great utility of the sceptical mode of dealing with the questions which pure reason puts to pure reason. By its means we can deliver ourselves, at but a small cost, from a great body of sterile dogmatism, and set in its place a sober critique, which as a true cathartic will effectively guard us against such groundless beliefs and the supposed polymathy to which they lead. If therefore, in dealing with a cosmological idea, I were able to appreciate beforehand that whatever view may be taken of the unconditioned in the successive synthesis of ap- pearances, it must either be too large or too small for any con- cept of the understanding, I should be in a position to under- stand that since the cosmological idea has no bearing save upon an object of experience which has to be in conformity with a possible concept of the understanding, it must be P 437 entirely empty and without meaning; for its object, view it as we may, cannot be made to agree with it. This is in fact the case with all cosmical concepts; and this is why reason, so long as it holds to them, is involved in an unavoidable antinomy. For suppose: -- First, that the world has no beginning: it is then too large for our concept, which, consisting as it does in a successive regress, can never reach the whole eternity that has elapsed. Or suppose that the world has a beginning, it will then, in the necessary empirical regress, be too small for the concept of the understanding. For since the beginning still presupposes a time which precedes it, it is still not unconditioned; and the law of the empirical employment of the understanding therefore obliges us to look for a higher temporal condition; and the world [as limited in time] is therefore obviously too small for this law. This is also true of the twofold answer to the question regarding the magnitude of the world in space. If it is infinite and unlimited, it is too large for any possible empirical con- cept. If it is finite and limited, we have a right to ask what determines these limits. Empty space is no self-subsistent correlate of things, and cannot be a condition at which we could stop; still less can it be an empirical condition, forming part of a possible experience. (For how can there be any ex- perience of the absolutely void? ) And yet to obtain absolute totality in the empirical synthesis it is always necessary that the unconditioned be an empirical concept. Consequently, a limited world is too small for our concept. Secondly, if every appearance in space (matter) consists of infinitely many parts, the regress in the division will always be too great for our concept; while if the division of space is to stop at any member of the division (the simple), the regress will be too small for the idea of the unconditioned. For this member always still allows of a regress to further parts con- tained in it. Thirdly, if we suppose that nothing happens in the world save in accordance with the laws of nature, the causality of the cause will always itself be something that happens, making necessary a regress to a still higher cause, and thus a con- tinuation of the series of conditions a parte priori without end. P 438 Nature, as working always through efficient causes, is thus too large for any of the concepts which we can employ in the synthesis of cosmical events. If, in certain cases, we admit the occurrence of self-caused events, that is, generation through freedom, then by an un- avoidable law of nature the question 'why' still pursues us, constraining us, in accordance with the law of causality [which governs] experience, to pass beyond such events; and we thus find that such totality of connection is too small for our necessary empirical concept. Fourthly, if we admit an absolutely necessary being (whether it be the world itself, or something in the world, or the cause of the world), we set it in a time infinitely remote from any given point of time, because otherwise it would be dependent upon another and antecedent being. But such an existence is then too large for our empirical concept, and is unapproachable through any regress, however far this be carried. If, again, we hold that everything belonging to the world (whether as conditioned or as condition) is contingent, any and every given existence is too small for our concept. For we are constrained always still to look about for some other existence upon which it is dependent. We have said that in all these cases the cosmical idea is either too large or too small for the empirical regress, and therefore for any possible concept of the understanding. We have thus been maintaining that the fault lies with the idea, in being too large or too small for that to which it is directed, namely, possible experience. Why have we not expressed our- selves in the opposite manner, saying that in the former case the empirical concept is always too small for the idea, and in the latter too large, and that the blame therefore attaches to the empirical regress? The reason is this. Possible experience is that which can alone give reality to our concepts; in its absence a concept is a mere idea, without truth, that is, without relation to any object. The possible empirical concept is there- fore the standard by which we must judge whether the idea is a mere idea and thought-entity, or whether it finds its object in the world. For we can say of anything that it is too large P 439 or too small relatively to something else, only if the former is required for the sake of the latter, and has to be adapted to it. Among the puzzles propounded in the ancient dialectical Schools was the question, whether, if a ball cannot pass through a hole, we should say that the ball is too large or the hole too small. In such a case it is a matter of indifference how we choose to express ourselves, for we do not know which exists for the sake of the other. In the case, however, of a man and his coat, we do not say that a man is too tall for his coat, but that the coat is too short for the man. We have thus been led to what is at least a well-grounded suspicion that the cosmological ideas, and with them all the mutually conflicting pseudo-rational assertions, may perhaps rest on an empty and merely fictitious concept of the manner in which the object of these ideas is given to us; and this sus- picion may set us on the right path for laying bare the illusion which has so long led us astray. THE ANTINOMY OF PURE REASON Section 6 TRANSCENDENTAL IDEALISM AS THE KEY TO THE SOLUTION OF THE COSMOLOGICAL DIALECTIC We have sufficiently proved in the Transcendental Aesthetic that everything intuited in space or time, and therefore all objects of any experience possible to us, are nothing but ap- pearances, that is, mere representations, which, in the manner in which they are represented, as extended beings, or as series of alterations, have no independent existence outside our thoughts. This doctrine I entitle transcendental idealism. The realist, in the transcendental meaning of this term, treats these modifica- tions of our sensibility as self-subsistent things, that is, treats mere representations as things in themselves. ++ I have also, elsewhere, sometimes entitled it formal idealism, to distinguish it from material idealism, that is, from the usual type of idealism which doubts or denies the existence of outer things themselves. P 439 It would be unjust to ascribe to us that long-decried P 440 empirical idealism, which, while it admits the genuine reality of space, denies the existence of the extended beings in it, or at least considers their existence doubtful, and so does not in this regard allow of any properly demonstrable distinction between truth and dreams. As to the appearances of inner sense in time, empirical idealism finds no difficulty in regard- ing them as real things; indeed it even asserts that this inner experience is the sufficient as well as the only proof of the actual existence of its object (in itself, with all this time- determination). Our transcendental idealism, on the contrary, admits the reality of the objects of outer intuition, as intuited in space, and of all changes in time, as represented by inner sense. For since space is a form of that intuition which we entitle outer, and since without objects in space there would be no empirical re- presentation whatsoever, we can and must regard the extended beings in it as real; and the same is true of time. But this space and this time, and with them all appearances, are not in them- selves things; they are nothing but representations, and cannot exist outside our mind. Even the inner and sensible intuition of our mind (as object of consciousness) which is represented as being determined by the succession of different states in time, is not the self proper, as it exists in itself -- that is, is not the transcendental subject -- but only an appearance that has been given to the sensibility of this, to us unknown, being. This inner appearance cannot be admitted to exist in any such manner in and by itself; for it is conditioned by time, and time cannot be a determination of a thing in itself. The empirical truth of appearances in space and time is, however, sufficiently secured; it is adequately distinguished from dreams, if both dreams and genuine appearances cohere truly and completely in one experience, in accordance with empirical laws. The objects of experience, then, are never given in them- selves, but only in experience, and have no existence outside it. That there may be inhabitants in the moon, although no one has ever perceived them, must certainly be admitted. This, however, only means that in the possible advance of experi- ence we may encounter them. For everything is real which stands in connection with a perception in accordance with the P 441 laws of empirical advance. They are therefore real if they stand in an empirical connection with my actual consciousness, although they are not for that reason real in themselves, that is, outside this advance of experience. Nothing is really given us save perception and the empiri- cal advance from this to other possible perceptions. For the appearances, as mere representations, are in themselves real only in perception, which perception is in fact nothing but the reality of an empirical representation, that is, appearance. To call an appearance a real thing prior to our perceiving it, either means that in the advance of experience we must meet with such a perception, or it means nothing at all. For if we were speaking of a thing in itself, we could indeed say that it exists in itself apart from relation to our senses and possible experi- ence. But we are here speaking only of an appearance in space and time, which are not determinations of things in them- selves but only of our sensibility. Accordingly, that which is in space and time is an appearance; it is not anything in itself but consists merely of representations, which, if not given in us -- that is to say, in perception -- are nowhere to be met with. The faculty of sensible intuition is strictly only a recep- tivity, a capacity of being affected in a certain manner with representations, the relation of which to one another is a pure intuition of space and of time (mere forms of our sensibility), and which, in so far as they are connected in this manner in space and time, and are determinable according to laws of the unity of experience, are entitled objects. The non-sensible cause of these representations is completely unknown to us, and cannot therefore be intuited by us as object. For such an object would have to be represented as neither in space nor in time (these being merely conditions of sensible representation), and apart from such conditions we cannot think any intuition. We may, however, entitle the purely intelligible cause of appearances in general the transcendental object, but merely in order to have something corresponding to sensibility viewed as a receptivity. To this transcendental object we can ascribe the whole extent and connection of our possible perceptions, and can say that it is given in itself prior to all experience. But the appearances, P 442 while conforming to it, are not given in themselves, but only in this experience, being mere representations, which as percep- tions can mark out a real object only in so far as the perception connects with all others according to the rules of the unity of experience. Thus we can say that the real things of past time are given in the transcendental object of experience; but they are objects for me and real in past time only in so far as I repre- sent to myself (either by the light of history or by the guiding- clues of causes and effects) that a regressive series of possible perceptions in accordance with empirical laws, in a word, that the course of the world, conducts us to a past time-series as con- dition of the present time -- a series which, however, can be re- presented as actual not in itself but only in the connection of a possible experience. Accordingly, all events which have taken place in the immense periods that have preceded my own ex- istence mean really nothing but the possibility of extending the chain of experience from the present perception back to the conditions which determine this perception in respect of time. If, therefore, I represent to myself all existing objects of the senses in all time and in all places, I do not set them in space and time [as being there] prior to experience. This representation is nothing but the thought of a possible ex- perience in its absolute completeness. Since the objects are nothing but mere representations, only in such a possible experience are they given. To say that they exist prior to all my experience is only to assert that they are to be met with if, starting from perception, I advance to that part of experience to which they belong. The cause of the empirical conditions of this advance (that which determines what mem- bers I shall meet with, or how far I can meet with any such in my regress) is transcendental, and is therefore necessarily unknown to me. We are not, however, concerned with this transcendental cause, but only with the rule of the advance in the experience in which objects, that is to say, appearances, are given to me. Moreover, in outcome it is a matter of in- difference whether I say that in the empirical advance in space I can meet with stars a hundred times farther removed than the outermost now perceptible to me, or whether I say that they are perhaps to be met with in cosmical space even P 443 though no human being has ever perceived or ever will per- ceive them. For even supposing they were given as things in themselves, without relation to possible experience, it still remains true that they are nothing to me, and therefore are not objects, save in so far as they are contained in the series of the empirical regress. Only in another sort of relation, when these appearances would be used for the cosmological idea of an absolute whole, and when, therefore, we are dealing with a question which oversteps the limits of possible experience, does distinction of the mode in which we view the reality of those objects of the senses become of importance, as serving to guard us against a deceptive error which is bound to arise if we misinterpret our empirical concepts. THE ANTINOMY OF PURE REASON Section 7 CRITICAL SOLUTION OF THE COSMOLOGICAL CONFLICT OF REASON WITH ITSELF The whole antinomy of pure reason rests upon the dia- lectical argument: If the conditioned is given, the entire series of all its conditions is likewise given; objects of the senses are given as conditioned; therefore, etc. Through this syllogism, the major premiss of which appears so natural and evident, as many cosmological ideas are introduced as there are differ- ences in the conditions (in the synthesis of appearances) that constitute a series. The ideas postulate absolute totality of these series; and thereby they set reason in unavoidable conflict with itself. We shall be in a better position to detect what is deceptive in this pseudo-rational argument, if we first correct and define some of the concepts employed in it. In the first place, it is evident beyond all possibility of doubt, that if the conditioned is given, a regress in the series of all its conditions is set us as a task. For it is involved in the very concept of the conditioned that something is referred to a condition, and if this condition is again itself conditioned, to a more remote condition, and so through all the members of the P 444 series. The above proposition is thus analytic, and has nothing to fear from a transcendental criticism. It is a logical postulate of reason, that through the understanding we follow up and extend as far as possible that connection of a concept with its conditions which directly results from the concept itself. Further, if the conditioned as well as its condition are things in themselves, then upon the former being given, the regress to the latter is not only set as a task, but therewith already really given. And since this holds of all members of the series, the complete series of the conditions, and therefore the unconditioned, is given therewith, or rather is presupposed in view of the fact that the conditioned, which is only possible through the complete series, is given. The synthesis of the conditioned with its condition is here a synthesis of the mere understanding, which represents things as they are, without considering whether and how we can obtain knowledge of them. If, however, what we are dealing with are appearances -- as mere representations appearances cannot be given save in so far as I attain knowledge of them, or rather attain them in themselves, for they are nothing but empirical modes of knowledge -- I cannot say, in the same sense of the terms, that if the conditioned is given, all its conditions (as appearances) are likewise given, and therefore cannot in any way infer the absolute totality of the series of its conditions. The appear- ances are in their apprehension themselves nothing but an empirical synthesis in space and time, and are given only in this synthesis. It does not, therefore, follow, that if the con- ditioned, in the [field of] appearance, is given, the synthesis which constitutes its empirical condition is given therewith and is presupposed. This synthesis first occurs in the regress, and never exists without it. What we can say is that a regress to the conditions, that is, a continued empirical synthesis, on the side of the conditions, is enjoined or set as a task, and that in this regress there can be no lack of given conditions. These considerations make it clear that the major premiss of the cosmological inference takes the conditioned in the transcendental sense of a pure category, while the minor pre- miss takes it in the empirical sense of a concept of the under- standing applied to mere appearances. The argument thus commits that dialectical fallacy which is entitled sophisma P 445 figurae dictionis. This fallacy is not, however, an artificial one; a quite natural illusion of our common reason leads us, when anything is given as conditioned, thus to assume in the major premiss, as it were without thought or question, its conditions and their series. This assumption is indeed simply the logical requirement that we should have adequate pre- misses for any given conclusion. Also, there is no reference to a time-order in the connection of the conditioned with its con- dition; they are presupposed as given together with it. Further, it is no less natural, in the minor premiss, to regard appear- ances both as things in themselves and as objects given to the pure understanding, than to proceed as we have done in the major, in which we have [similarly] abstracted from all those conditions of intuition under which alone objects can be given. Yet in so doing we have overlooked an important distinction between the concepts. The synthesis of the conditioned with its conditions (and the whole series of the latter) does not in the major premiss carry with it any limitation through time or any concept of succession. The empirical synthesis, on the other hand, that is, the series of the conditions in appearance, as subsumed in the minor premiss, is necessarily successive, the members of the series being given only as following upon one another in time; and I have therefore, in this case, no right to assume the absolute totality of the synthesis and of the series thereby represented. In the major premiss all the mem- bers of the series are given in themselves, without any condi- tion of time, but in this minor premiss they are possible only through the successive regress, which is given only in the process in which it is actually carried out. When this error has thus been shown to be involved in the argument upon which both parties alike base their cosmo- *********** unable to offer any sufficient title in support of their claims. But the quarrel is not thereby ended -- as if one or both of the parties had been proved to be wrong in the actual doctrines they assert, that is, in the conclusions of their arguments. For although they have failed to support their contentions by valid grounds of proof, nothing seems to be clearer than that since one of them asserts that the world has a beginning and the other that it has no beginning and is from eternity, one of the P 446 two must be in the right. But even if this be so, none the less, since the arguments on both sides are equally clear, it is im- possible to decide between them. The parties may be com- manded to keep the peace before the tribunal of reason; but the controversy none the less continues. There can therefore be no way of settling it once for all and to the satisfaction of both sides, save by their becoming convinced that the very fact of their being able so admirably to refute one another is evidence that they are really quarrelling about nothing, and that a certain transcendental illusion has mocked them with a reality where none is to be found. This is the path which we shall now proceed to follow in the settlement of a dispute that defies all attempts to come to a decision. * * * Zeno of Elea, a subtle dialectician, was severely repri- manded by Plato as a mischievous Sophist who, to show his skill, would set out to prove a proposition through convincing arguments and then immediately overthrow them by other arguments equally strong. Zeno maintained, for example, that God (probably conceived by him as simply the world) is neither finite nor infinite, neither in motion nor at rest, neither similar nor dissimilar to any other thing. To the critics of his procedure he appeared to have the absurd intention of denying both of two mutually contradictory propositions. But this ac- cusation does not seem to me to be justified. The first of his propositions I shall consider presently more in detail. As re- gards the others, if by the word 'God' he meant the universe, he would certainly have to say that it is neither abidingly present in its place, that is, at rest, nor that it changes its place, that is, is in motion; because all places are in the universe, and the universe is not, therefore, itself in any place. Again, if the universe comprehends in itself everything that exists, it cannot be either similar or dissimilar to any other thing, because there is no other thing, nothing outside it, with which it could be compared. If two opposed judgments presuppose an inad- missible condition, then in spite of their opposition, which does not amount to a contradiction strictly so-called, both fall to the ground, inasmuch as the condition, under which alone either of them can be maintained, itself falls. P 447 If it be said that all bodies have either a good smell or a smell that is not good, a third case is possible, namely, that a body has no smell at all; and both the conflicting proposi- tions may therefore be false. If, however, I say: all bodies are either good-smelling or not good-smelling (vel suaveolens vel non suaveolens), the two judgments are directly contradictory to one another, and the former only is false, its contradictory opposite, namely, that some bodies are not good-smelling, comprehending those bodies also which have no smell at all. Since, in the previous opposition (per disparata), smell, the contingent condition of the concept of the body, was not removed by the opposed judgment, but remained attached to it, the two judgments were not related as contradictory opposites. If, therefore, we say that the world is either infinite in extension or is not infinite (non est infinitus), and if the former proposition is false, its contradictory opposite, that the world is not infinite, must be true. And I should thus deny the exist- ence of an infinite world, without affirming in its place a finite world. But if we had said that the world is either infinite or finite (non-infinite), both statements might be false. For in that case we should be regarding the world in itself as determined in its magnitude, and in the opposed judgment we do not merely remove the infinitude, and with it perhaps the entire separate existence of the world, but attach a determination to the world, regarded as a thing actually existing in itself. This assertion may, however, likewise be false; the world may not be given as a thing in itself, nor as being in its magnitude either infinite or finite. I beg permission to entitle this kind of opposition dialectical, and that of contradictories analytical. Thus of two dialectically opposed judgments both may be false; for the one is not a mere contradictory of the other, but says something more than is required for a simple contradiction. If we regard the two propositions, that the world is infinite in magnitude and that it is finite in magnitude, as contra- dictory opposites, we are assuming that the world, the com- plete series of appearances, is a thing in itself that remains even if I suspend the infinite or the finite regress in the series of its appearances. If, however, I reject this assumption, or P 448 rather this accompanying transcendental illusion, and deny that the world is a thing in itself, the contradictory opposition of the two assertions is converted into a merely dialectical opposition. Since the world does not exist in itself, independ- ently of the regressive series of my representations, it exists in itself neither as an infinite whole nor as a finite whole. It exists only in the empirical regress of the series of appear- ances, and is not to be met with as something in itself. If, then, this series is always conditioned, and therefore can never be given as complete, the world is not an unconditioned whole, and does not exist as such a whole, either of infinite or of finite magnitude. What we have here said of the first cosmological idea, that is, of the absolute totality of magnitude in the [field of] appearance, applies also to all the others. The series of conditions is only to be met with in the regressive synthesis itself, not in the [field of] appearance viewed as a thing given in and by itself, prior to all regress. We must therefore say that the number of parts in a given appearance is in itself neither finite nor infinite. For an appearance is not something existing in itself, and its parts are first given in and through the regress of the decomposing synthesis, a regress which is never given in absolute completeness, either as finite or as infinite. This also holds of the series of subordinated causes, and of the series that proceeds from the conditioned to unconditioned necessary existence. These series can never be regarded as being in themselves in their totality either finite or infinite. Being series of subordinated representations, they exist only in the dynamical regress, and prior to this regress can have no existence in themselves as self-subsistent series of things. Thus the antinomy of pure reason in its cosmological ideas vanishes when it is shown that it is merely dialectical, and that it is a conflict due to an illusion which arises from our applying to appearances that exist only in our representations, and therefore, so far as they form a series, not otherwise than in a successive regress, that idea of absolute totality which holds only as a condition of things in themselves. From this antinomy we can, however, obtain, not indeed a dogmatic, but a critical and doctrinal advantage. It affords indirect proof of P 449 the transcendental ideality of appearances -- a proof which ought to convince any who may not be satisfied by the direct proof given in the Transcendental Aesthetic. This proof would consist in the following dilemma. If the world is a whole exist- ing in itself, it is either finite or infinite. But both alternatives are false (as shown in the proofs of the antithesis and thesis respectively). It is therefore also false that the world (the sum of all appearances) is a whole existing in itself. From this it then follows that appearances in general are nothing outside our representations -- which is just what is meant by their transcendental ideality. This remark is of some importance. It enables us to see that the proofs given in the fourfold antinomy are not merely baseless deceptions. On the supposition that appearances, and the sensible world which comprehends them all, are things in themselves, these proofs are indeed well-grounded. The conflict which results from the propositions thus obtained shows, however, that there is a fallacy in this assumption, and so leads us to the discovery of the true constitution of things, as objects of the senses. While the transcendental dialectic does not by any means favour scepticism, it certainly does favour the sceptical method, which can point to such dialectic as an example of its great services. For when the arguments of reason are allowed to oppose one another in unrestricted freedom, something advantageous, and likely to aid in the correction of our judgments, will always accrue, though it may not be what we set out to find. THE ANTINOMY OF PURE REASON Section 8 THE REGULATIVE PRINCIPLE OF PURE REASON IN ITS APPLICATION TO THE COSMOLOGICAL IDEAS Since no maximum of the series of conditions in a sensible world, regarded as a thing in itself, is given through the cos- mological principle of totality, but can only be set as a task that calls for regress in the series of conditions, the principle of pure reason has to be amended in these terms; and it P 450 then preserves its validity, not indeed as the axiom that we think the totality as actually in the object, but as a problem for the understanding, and therefore for the subject, leading it to undertake and to carry on, in accordance with the completeness prescribed by the idea, the regress in the series of conditions of any given conditioned. For in our sensibility, that is, in space and time, every condition to which we can attain in the exposition of given appearances is again conditioned. For they are not objects in themselves -- were they such, the abso- lutely unconditioned might be found in them -- but simply empirical representations which must always find in intui- tion the condition that determines them in space and time. The principle of reason is thus properly only a rule, pre- scribing a regress in the series of the conditions of given appearances, and forbidding it to bring the regress to a close by treating anything at which it may arrive as absolutely un- conditioned. It is not a principle of the possibility of experience and of empirical knowledge of objects of the senses, and there- fore not a principle of the understanding; for every experience, in conformity with the given [forms of] intuition, is enclosed within limits. Nor is it a constitutive principle of reason, en- abling us to extend our concept of the sensible world beyond all possible experience. It is rather a principle of the greatest pos- sible continuation and extension of experience, allowing no em- pirical limit to hold as absolute. Thus it is a principle of reason which serves as a rule, postulating what we ought to do in the regress, but not anticipating what is present in the object as it is in itself, prior to all regress. Accordingly I entitle it a regulative principle of reason, to distinguish it from the prin- ciple of the absolute totality of the series of conditions, viewed as actually present in the object (that is, in the appearances), which would be a constitutive cosmological principle. I have tried to show by this distinction that there is no such con- stitutive principle, and so to prevent what otherwise, through a transcendental subreption, inevitably takes place, namely, the ascribing of objective reality to an idea that serves merely as a rule. In order properly to determine the meaning of this rule of P 451 pure reason, we must observe, first, that it cannot tell us what the object is, but only how the empirical regress is to be carried out so as to arrive at the complete concept of the object. If it attempted the former task, it would be a constitutive principle, such as pure reason can never supply. It cannot be regarded as maintaining that the series of conditions for a given con- ditioned is in itself either finite or infinite. That would be to treat a mere idea of absolute totality, which is only produced in the idea, as equivalent to thinking an object that cannot be given in any experience. For in terms of it we should be as- cribing to a series of appearances an objective reality which is independent of empirical synthesis. This idea of reason can therefore do no more than prescribe a rule to the regressive synthesis in the series of conditions; and in accordance with this rule the synthesis must proceed from the conditioned, through all subordinate conditions, up to the unconditioned. Yet it can never reach this goal, for the absolutely un- conditioned is not to be met with in experience. We must therefore first of all determine what we are to mean by the synthesis of a series, in cases in which the syn- thesis is never complete. In this connection two expressions are commonly employed, which are intended to mark a dis- tinction, though without correctly assigning the ground of the distinction. Mathematicians speak solely of a progressus in infinitum. Philosophers, whose task it is to examine concepts, refuse to accept this expression as legitimate, substituting for it the phrase progressus in indefinitum. We need not stop to examine the reasons for such a distinction, or to enlarge upon its useful or useless employment. We need only determine these concepts with such accuracy as is required for our par- ticular purposes. Of a straight line we may rightly say that it can be pro- duced to infinity. In this case the distinction between an in- finite and an indeterminately great advance (progressus in in- definitum) would be mere subtlety. When we say, ' Draw a line', it sounds indeed more correct to add in indefinitum than in infinitum. Whereas the latter means that you must not cease producing it -- which is not what is intended -- the former means only, produce it as far as you please; and if we are referring only to what it is in our power to do, this expression is quite P 452 correct, for we can always make the line longer, without end. So is it in all cases in which we speak only of the progress, that is, of the advance from the condition to the conditioned: this possible advance proceeds, without end, in the series of ap- pearances. From a given pair of parents the descending line of generation may proceed without end, and we can quite well regard the line as actually so continuing in the world. For in this case reason never requires an absolute totality of the series, since it does not presuppose that totality as a condition and as given (datum), but only as something con- ditioned, that allows of being given (dabile), and is added to without end. Quite otherwise is it with the problem: how far the regress extends, when it ascends in a series from something given as conditioned to its conditions. Can we say that the regress is in infinitum, or only that it is indeterminately far extended (in indefinitum)? Can we, for instance, ascend from the men now living, through the series of their ancestors, in infinitum; or can we only say that, so far as we have gone back, we have never met with an empirical ground for regarding the series as limited at any point, and that we are therefore justified and at the same time obliged, in the case of every ancestor, to search further for progenitors, though not indeed to presuppose them? We answer: when the whole is given in empirical intui- tion, the regress in the series of its inner conditions pro- ceeds in infinitum; but when a member only of the series is given, starting from which the regress has to proceed to abso- lute totality, the regress is only of indeterminate character (in indefinitum). Accordingly, the division of a body, that is, of a portion of matter given between certain limits, must be said to proceed in infinitum. For this matter is given as a whole, and therefore with all its possible parts, in empirical intuition. Since the condition of this whole is its part, and the condition of this part is the part of the part, and so on, and since in this regress of decomposition an unconditioned (indivisible) member of this series of conditions is never met with, not only is there never any empirical ground for stopping in the divi- sion, but the further members of any continued division are themselves empirically given prior to the continuation of the division. The division, that is to say, goes on in infinitum. On P 453 the other hand, since the series of ancestors of any given man is not given in its absolute totality in any possible experience, the regress proceeds from every member in the series of genera- tions to a higher member, and no empirical limit is encoun- tered which exhibits a member as absolutely unconditioned. And since the members, which might supply the condition, are not contained in an empirical intuition of the whole, prior to the regress, this regress does not proceed in infinitum, by divi- sion of the given, but only indefinitely far, searching for further members additional to those that are given, and which are themselves again always given as conditioned. In neither case, whether the regress be in infinitum or in indefinitum, may the series of conditions be regarded as being given as infinite in the object. The series are not things in themselves, but only appearances, which, as conditions of one another, are given only in the regress itself. The question, therefore, is no longer how great this series of conditions may be in itself, whether it be finite or infinite, for it is nothing in itself; but how we are to carry out the empirical regress, and how far we should continue it. Here we find an important dis- tinction in regard to the rule governing such procedure. When the whole is empirically given; it is possible to proceed back in the series of its inner conditions in infinitum. When the whole is not given, but has first to be given through empirical regress, we can only say that the search for still higher conditions of the series is possible in infinitum. In the former case we could say: there are always more members, empirically given, than I can reach through the regress of decomposition; in the latter case, however, the position is this: we can always proceed still further in the regress, because no member is empirically given as abso- lutely unconditioned; and since a higher member is therefore always possible, the enquiry regarding it is necessary. In the one case we necessarily find further members of the series; in the other case, since no experience is absolutely limited, the necessity is that we enquire for them. For either we have no perception which sets an absolute limit to the empirical re- gress, in which case we must not regard the regress as com- pleted, or we have a perception limiting our series, in which case the perception cannot be part of the series traversed (for that which limits must be distinct from that which is P 454 thereby limited), and we must therefore continue our regress to this condition also, and the regress is thus again resumed. These observations will be set in their proper light by their application in the following section. THE ANTINOMY OF PURE REASON Section 9 THE EMPIRICAL EMPLOYMENT OF THE REGULATIVE PRINCIPLE OF REASON, IN RESPECT OF ALL COSMO- LOGICAL IDEAS We have already, on several occasions, shown that no trans- cendental employment can be made of the pure concepts either of the understanding or of reason; that the [assertion of] abso- lute totality of the series of conditions in the sensible world rests on a transcendental employment of reason in which reason demands this unconditioned completeness from what it assumes to be a thing in itself; and that since the sensible world contains no such completeness, we are never justified in enquiring, as regards the absolute magnitude of the series in the sensible world, whether it be limited or in itself unlimited, but only how far we ought to go in the empirical regress, when we trace experience back to its conditions, obeying the rule of reason, and therefore resting content with no answer to its questions save that which is in conformity with the object. What therefore alone remains to us is the validity of the principle of reason as a rule for the continuation and magnitude of a possible experience; its invalidity as a constitutive prin- ciple of appearances [viewed as things] in themselves has been sufficiently demonstrated. If we can keep these conclusions steadily in view, the self-conflict of reason will be entirely at an end. For not only will this critical solution destroy the illusion which set reason at variance with itself, but will replace it by teaching which, in correcting the misinterpretation that has been the sole source of the conflict, brings reason into agree- ment with itself. A principle which otherwise would be dialec- tical will thus be converted into a doctrinal principle. In fact, if this principle can be upheld as determining, in accordance P 455 with its subjective significance, and yet also in conformity with the objects of experience, the greatest possible empirical use of understanding, the outcome will be much the same as if it were -- what is impossible from pure reason -- an axiom which determined a priori the objects in themselves. For only in pro- portion as the principle is effective in directing the widest possible empirical employment of the understanding, can it exercise, in respect of the objects of experience, any influence in extending and correcting our knowledge. 1. Solution of the Cosmological Idea of the Totality of the Composition of the Appearances of a Cosmic Whole Here, as in the other cosmological questions, the regula- tive principle of reason is grounded on the proposition that in the empirical regress we can have no experience of an absolute limit, that is, no experience of any condition as being one that empirically is absolutely unconditioned. The reason is this: such an experience would have to contain a limitation of appearances by nothing, or by the void, and in the con- tinued regress we should have to be able to encounter this limitation in a perception -- which is impossible. This proposition, which virtually states that the only con- ditions which we can reach in the empirical regress are con- ditions which must themselves again be regarded as empiric- ally conditioned, contains the rule in terminis, that however far we may have advanced in the ascending series, we must always enquire for a still higher member of the series, which may or may not become known to us through experience. For the solution, therefore, of the first cosmological prob- lem we have only to decide whether in the regress to the un- conditioned magnitude of the universe, in time and space, this never limited ascent can be called a regress to infinity, or only an indeterminately continued regress (in indefinitum). The quite general representation of the series of all past states of the world, as well as of all the things which coexist in cosmic space, is itself merely a possible empirical regress which I think to myself, though in an indeterminate manner. Only in this way can the concept of such a series of conditions P 456 for a given perception arise at all. Now we have the cosmic whole only in concept, never, as a whole, in intuition. We cannot, therefore, argue from the magnitude of the cosmic whole to the magnitude of the regress, determining the latter in accordance with the former; on the contrary, only by reference to the magnitude of the empirical regress am I in a position to make for myself a concept of the magnitude of the world. But of this empirical regress the most that we can ever know is that from every given member of the series of conditions we have always still to advance empirically to a higher and more remote member. The magnitude of the whole of appearances is not thereby determined in any abso- lute manner; and we cannot therefore say that this regress proceeds to infinity. In doing so we should be anticipating members which the regress has not yet reached, represent- ing their number as so great that no empirical synthesis could attain thereto, and so should be determining the magnitude of the world (although only negatively) prior to the regress -- which is impossible. Since the world is not given me, in its totality, through any intuition, neither is its magnitude given me prior to the regress. We cannot, therefore, say anything at all in regard to the magnitude of the world, not even that there is in it a regress in infinitum. All that we can do is to seek for the concept of its magnitude according to the rule which determines the empirical regress in it. This rule says no more than that, however far we may have attained in the series of empirical conditions, we should never assume an absolute limit, but should subordinate every appearance, as con- ditioned, to another as its condition, and that we must advance to this condition. This is the regressus in indefini- tum, which, as it determines no magnitude in the object, is clearly enough distinguishable from the regressus in infini- tum. ++ This cosmic series can, therefore, be neither greater nor smaller than the possible empirical regress upon which alone its concept rests. And since this regress can yield neither a determinate infinite nor a determinate finite (that is, anything absolutely limited), it is evident that the magnitude of the world can be taken neither as finite nor as infinite. The regress, through which it is represented, allows of neither alternative. P 457 I cannot say, therefore, that the world is infinite in space or as regards past time. Any such concept of magnitude, as being that of a given infinitude, is empirically impossible, and therefore, in reference to the world as an object of the senses, also absolutely impossible. Nor can I say that the regress from a given perception to all that limits it in a series, whether in space or in past time, proceeds to infinity; that would be to presuppose that the world has infinite magnitude. I also can- not say that the regress is finite; an absolute limit is likewise empirically impossible. Thus I can say nothing regarding the whole object of experience, the world of sense; I must limit my assertions to the rule which determines how experience, in conformity with its object, is to be obtained and further extended. Thus the first and negative answer to the cosmological problem regarding the magnitude of the world is that the world has no first beginning in time and no outermost limit in space. For if we suppose the opposite, the world would be limited on the one hand by empty time and on the other by empty space. Since, however, as appearance, it cannot in itself be limited in either manner -- appearance not being a thing in itself -- these limits of the world would have to be given in a possible experience, that is to say, we should require to have a perception of limitation by absolutely empty time or space. But such an experience, as completely empty of content, is impossible. Consequently, an absolute limit of the world is impossible empirically, and therefore also absolutely. The affirmative answer likewise directly follows, namely, that the regress in the series of appearances, as a determina- tion of the magnitude of the world, proceeds in indefinitum. ++ It may be noted that this proof is presented in a very different manner from the dogmatic proof of the antithesis of the first antinomy. In that argument we regarded the sensible world, in accordance with the common and dogmatic view, as a thing given in itself, in its totality, prior to any regress; and we asserted that unless it occupies all time and all places, it cannot have any deter- minate position whatsoever in them. The conclusion also was there- fore different from that given above; for in the dogmatic proof we inferred the actual infinity of the world. P 458 This is equivalent to saying that, although the sensible world has no absolute magnitude, the empirical regress (through which alone it can be given on the side of its conditions) has its own rule, namely, that it must always advance from every member of the series, as conditioned, to one still more remote; doing so by means either of our own experience, or of the guiding-thread of history, or of the chain of effects and causes. And as the rule further demands, our sole and constant aim must be the extension of the possible empirical employment of the understanding, this being the only proper task of reason in the application of its principles. This rule does not prescribe a determinate empirical regress that must proceed without end in some one kind of appearance, e.g. that in proceeding from a living person through a series of progenitors we must never expect to meet with a first pair, or that in the series of cosmic bodies we must never admit an outermost sun. All that the rule requires is that the advance from appearances be to appearances; for even if these latter yield no actual perception (as is the case when for our con- sciousness they are too weak in degree to become experience), as appearances they none the less still belong to a possible experience. All beginning is in time and all limits of the extended are in space. But space and time belong only to the world of sense. Accordingly, while appearances in the world are conditionally limited, the world itself is neither conditionally nor uncon- ditionally limited. Similarly, since the world can never be given as complete, and since even the series of conditions for that which is given as conditioned cannot, as a cosmic series, be given as complete, the concept of the magnitude of the world is given only through the regress and not in a collective intuition prior to it. But the regress consists only in the determining of the magnitude, and does not give any determinate concept. It does not, therefore, yield any concept of a magnitude which, in relation to a certain [unit-] measure, can be described as infinite. In other words, the regress does not proceed to the infinite, as if the infinite could be given, but only indeterminately far, in order [by means of the regress] to give that empirical magnitude which first becomes actual in and through this very regress. P 459 II Solution of the Cosmological Idea of the Totality of Division of a Whole given in Intuition If we divide a whole which is given in intuition, we pro- ceed from something conditioned to the conditions of its pos- sibility. The division of the parts (subdivisio or decompositio) is a regress in the series of these conditions. The absolute totality of this series would be given only if the regress could reach simple parts. But if all the parts in a continuously pro- gressing decomposition are themselves again divisible, the division, that is, the regress from the conditioned to its con- ditions, proceeds in infinitum. For the conditions (the parts) are themselves contained in the conditioned, and since this is given complete in an intuition that is enclosed between limits the parts are one and all given together with the con- ditioned. The regress may not, therefore, be entitled merely a regress in indefinitum. This was permissible in regard to the first cosmological idea, since it required an advance from the conditioned to its conditions, which, as outside it, were not given through and along with it, but were first added to it in the em- pirical regress. We are not, however, entitled to say of a whole which is divisible to infinity, that it is made up of infinitely many parts. For although all parts are contained in the intuition of the whole, the whole division is not so contained, but consists only in the continuous decomposition, that is, in the regress itself, whereby the series first becomes actual. Since this regress is infinite, all the members or parts at which it arrives are contained in the given whole, viewed as an aggregate. But the whole series of the division is not so contained, for it is a successive infinite and never whole, and cannot, therefore, exhibit an infinite multiplicity, or any combination of an infinite multiplicity in a whole. This general statement is obviously applicable to space. Every space intuited as within limits is such a whole, the parts of which, as obtained by decomposition, are always themselves spaces. Every limited space is therefore infinitely divisible. From this a second application of the statement quite naturally follows, namely, to an outer appearance enclosed P 460 within limits, that is, to body. Its divisibility is grounded in the divisibility of space, which constitutes the possibility of the body as an extended whole. Body is therefore infinitely divis- ible, without consisting, however, of infinitely many parts. It may seem, indeed, that a body, since it has to be repre- sented in space as substance, will, as regards the law of the divisibility of space, differ from space. We may certainly grant that decomposition can never remove all compositeness from space; for that would mean that space, in which there is nothing self-subsistent, had ceased to be space, which is impos- sible. On the other hand, the assertion that if all compositeness of matter be thought away nothing at all will remain, does not appear to be compatible with the concept of a substance which is meant to be the subject of all compositeness, and which must persist in the elements of the composite, even although the connection in space, whereby they constitute a body, be removed. But while this is true of a thing in itself, as thought through a pure concept of the understanding, it does not hold of that which we entitle substance in the [field of] appearance. For this latter is not an absolute subject, but only an abiding image of sensibility; it is nothing at all save as an intuition, in which unconditionedness is never to be met with. But although this rule of progress in infinitum undoubtedly applies to the subdivision of an appearance, viewed as a mere filling of space, it cannot be made to apply to a whole in which already, as given, the parts are so definitely distinguished off from one another that they constitute a quantum discretum. We cannot assume that every part of an organised whole is itself again so organised that, in the analysis of the parts to infinity, still other organised parts are always to be met with; in a word, that the whole is organised to infinity. This is not a thinkable hypothesis. It is true, indeed, that the parts of matter, [as found] in their decomposition in infinitum, may be organ- ised. The infinitude of the division of a given appearance in space is grounded solely on the fact that, through this infini- tude, only the divisibility (in itself, as regards the number of its parts, absolutely indeterminate) is given -- the parts themselves being given and determined only through the subdivision. In a word, the whole is not in itself already divided. The number P 461 of parts, therefore, which a division may determine in a whole, will depend upon how far we care to advance in the regress of the division. On the other hand, in the case of an organic body conceived as organised in infinitum the whole is represented as already divided into parts, and as yielding to us, prior to all regress, a determinate and yet infinite number of parts. This, however, is self-contradictory. This infinite involution is re- garded as an infinite (that is, never to be completed) series, and yet at the same time as completed in a [discrete] com- plex. Infinite divisibility belongs to appearance only in so far as it is a quantum continuum; it is inseparable from the occupation of space, which is indeed its ground. To view any- thing as being a quantum discretum, is to take the number of units in it as being determined, and therefore as being in every case equal to some number. How far organisation can go in an organised body, only experience can show; and although, so far as our experience has gone, we may not have arrived with certainty at any inorganic part, the possibility of experiencing such parts must at least be recognised. When, however, we have in mind the transcendental division of an appearance in general, the question how far it may extend does not await an answer from experience; it is decided by a principle of reason which prescribes that, in the decomposition of the ex- tended, the empirical regress, in conformity with the nature of this appearance, be never regarded as absolutely completed. Concluding Note on the Solution of the Mathematical - trans- cendental Ideas, and Preliminary Observation on the Solution of the Dynamical - transcendental Ideas. In representing the antinomy of pure reason, through all the transcendental ideas, in tabular form, and in showing that the ground of this conflict and the only means of removing it is by declaring both the opposed assertions to be false, we have represented the conditions as, in all cases, standing to the con- ditioned in relations of space and time. This is the assumption ordinarily made by the common understanding, and to it the conflict is exclusively due. On this view all the dialectical representations of totality, in the series of conditions for a given conditioned, are throughout of the same character. The P 462 condition is always a member of a series along with the con- ditioned, and so is homogeneous with it. In such a series the regress was never thought as completed, or if it had to be so thought, a member, in itself conditioned, must have been falsely supposed to be a first member, and therefore to be unconditioned; the object, that is, the conditioned, might not always be considered merely according to its magnitude, but at least the series of its conditions was so regarded. Thus arose the difficulty -- a difficulty which could not be disposed of by any compromise but solely by cutting the knot -- that reason made the series either too long or too short for the understanding, so that the understanding could never be equal to the prescribed idea. But in all this we have been overlooking an essential dis- tinction that obtains among the objects, that is, among those concepts of understanding which reason endeavours to raise to ideas. According to the table of categories given above, two of these concepts imply a mathematical, the other two a dynamical synthesis of appearances. Hitherto it has not been necessary to take account of this distinction; for just as in the general representation of all transcendental ideas we have been conforming to conditions within the [field of] appearance, so in the two mathematical - transcendental ideas the only object we have had in mind is object as appearance. But now that we are proceeding to consider how far dynamical con- cepts of the understanding are adequate to the idea of reason, the distinction becomes of importance, and opens up to us an entirely new view of the suit in which reason is implicated. This suit, in our previous trial of it, has been dismissed as resting, on both sides, on false presuppositions. But since in the dynamical antinomy a presupposition compatible with the pretensions of reason may perhaps be found, and since the judge may perhaps make good what is lacking in the pleas which both sides have been guilty of misstating, the suit may be settled to the satisfaction of both parties, a procedure im- possible in the case of the mathematical antinomies. If we consider solely the extension of the series of condi- tions, and whether the series are adequate to the idea, or the idea too large or too small for the series, the series are indeed in P 463 these respects all homogeneous. But the concept of the under- standing, which underlies these ideas, may contain either a synthesis solely of the homogeneous (which is presupposed alike in the composition and in the division of every magni- tude), or a synthesis of the heterogeneous. For the hetero- geneous can be admitted as at least possible in the case of dynamical synthesis, alike in causal connection and in the connection of the necessary with the contingent. Hence in the mathematical connection of the series of appearances no other than a sensible condition is admissible, that is to say, none that is not itself a part of the series. On the other hand, in the dynamical series of sensible conditions, a heterogeneous condition, not itself a part of the series, but purely intelligible, and as such outside the series, can be allowed. In this way reason obtains satisfaction and the unconditioned is set prior to the appearances, while yet the invariably conditioned character of the appearances is not obscured, nor their series cut short, in violation of the principles prescribed by the understanding. Inasmuch as the dynamical ideas allow of a condition of appearances outside the series of the appearances, that is, a condition which is not itself appearance, we arrive at a con- clusion altogether different from any that was possible in the case of the mathematical antinomy. In it we were obliged to denounce both the opposed dialectical assertions as false. In the dynamical series, on the other hand, the completely conditioned, which is inseparable from the series considered as appearances, is bound up with a condition which, while indeed empirically unconditioned, is also non-sensible. We are thus able to obtain satisfaction for understanding on the one hand and for reason on the other. ++ Understanding does not admit among appearances any condi- tion which can itself be empirically unconditioned. But if for some conditioned in the [field of] appearance we can conceive an intellig- ible condition, not belonging to the series of appearances as one of its members, and can do so without in the least interrupting the series of empirical conditions, such a condition may be accepted as empirically unconditioned, without prejudice to the continuity of the empirical regress. P 464 The dialectical arguments, which in one or other way sought unconditioned totality in mere appearances, fall to the ground, and the pro- positions of reason, when thus given this more correct inter- pretation, may both alike be true. This can never be the case with those cosmological ideas which refer only to a mathe- matically unconditioned unity; for in them no condition of the series of appearances can be found that is not itself appear- ance, and as appearance one of the members of the series. III Solution of the Cosmological Idea of Totality in the Derivation of Cosmical Events from their Causes When we are dealing with what happens there are only two kinds of causality conceivable by us; the causality is either according to nature or arises from freedom. The former is the connection in the sensible world of one state with a pre- ceding state on which it follows according to a rule. Since the causality of appearances rests on conditions of time, and the preceding state, if it had always existed, could not have pro- duced an effect which first comes into being in time, it follows that the causality of the cause of that which happens or comes into being must itself also have come into being, and that in accordance with the principle of the understanding it must in its turn itself require a cause. By freedom, on the other hand, in its cosmological mean- ing, I understand the power of beginning a state spontane- ously. Such causality will not, therefore, itself stand under another cause determining it in time, as required by the law of nature. Freedom, in this sense, is a pure transcendental idea, which, in the first place, contains nothing borrowed from ex- perience, and which, secondly, refers to an object that cannot be determined or given in any experience. That everything which happens has a cause is a universal law, conditioning the very possibility of all experience. Hence the causality of the cause, which itself happens or comes to be, must itself in turn have a cause; and thus the entire field of experience, however far it may extend, is transformed into a sum-total of the merely natural. But since in this way no absolute totality of P 465 conditions determining causal relation can be obtained, reason creates for itself the idea of a spontaneity which can begin to act of itself, without requiring to be determined to action by an antecedent cause in accordance with the law of causality. It should especially be noted that the practical concept of freedom is based on this transcendental idea, and that in the latter lies the real source of the difficulty by which the ques- tion of the possibility of freedom has always been beset. Freedom in the practical sense is the will's independence of coercion through sensuous impulses. For a will is sensuous, in so far as it is pathologically affected, i.e. by sensuous motives; it is animal (arbitrium brutum), if it can be pathologically necessitated. The human will is certainly an arbitrium sensi- tivum, not, however, brutum but liberum. For sensibility does not necessitate its action. There is in man a power of self- determination, independently of any coercion through sensuous impulses. Obviously, if all causality in the sensible world were mere nature, every event would be determined by another in time, in accordance with necessary laws. Appearances, in determin- ing the will, would have in the actions of the will their natural effects, and would render the actions necessary. The denial of transcendental freedom must, therefore, involve the elimina- tion of all practical freedom. For practical freedom presup- poses that although something has not happened, it ought to have happened, and that its cause, [as found] in the [field of] appearance, is not therefore, so determining that it excludes a causality of our will -- a causality which, independently of those natural causes, and even contrary to their force and influence, can produce something that is determined in the time-order in accordance with empirical laws, and which can therefore begin a series of events entirely of itself. Here then, as always happens when reason, in venturing beyond the limits of possible experience, comes into conflict with itself the problem is not really physiological but trans- cendental. The question as to the possibility of freedom does indeed concern psychology; since it rests on dialectical arguments of pure reason, its treatment and solution belong exclusively to transcendental philosophy. Before attempting P 466 this solution, a task which transcendental philosophy cannot decline, I must define somewhat more accurately the procedure of transcendental philosophy in dealing with the problem. If appearances were things in themselves, and space and time forms of the existence of things in themselves, the condi- tions would always be members of the same series as the con- ditioned; and thus, in the present case, as in the other transcen- dental ideas, the antinomy would arise, that the series must be too large or too small for the understanding. But the dynami- cal concepts of reason, with which we have to deal in this and the following section, possess this peculiarity that they are not concerned with an object considered as a magnitude, but only with its existence. Accordingly we can abstract from the mag- nitude of the series of conditions, and consider only the dynami- cal relation of the condition to the conditioned. The difficulty which then meets us, in dealing with the question regarding nature and freedom, is whether freedom is possible at all, and if it be possible, whether it can exist along with the universality of the natural law of causality. Is it a truly disjunctive propo- sition to say that every effect in the world must arise either from nature or from freedom; or must we not rather say that in one and the same event, in different relations, both can be found? That all events in the sensible world stand in thorough- going connection in accordance with unchangeable laws of nature is an established principle of the Transcendental Ana- lytic, and allows of no exception. The question, therefore, can only be whether freedom is completely excluded by this inviol- able rule, or whether an effect, notwithstanding its being thus determined in accordance with nature, may not at the same time be grounded in freedom. The common but fallacious pre- supposition of the absolute reality of appearances here mani- fests its injurious influence, to the confounding of reason. For if appearances are things in themselves, freedom cannot be up- held. Nature will then be the complete and sufficient deter- mining cause of every event. The condition of the event will be such as can be found only in the series of appearances; both it and its effect will be necessary in accordance with the law of nature. If, on the other hand, appearances are not taken for more than they actually are; if they are viewed not as things in themselves, but merely as representations, connected accord- P 467 ing to empirical laws, they must themselves have grounds which are not appearances. The effects of such an intelligible cause appear, and accordingly can be determined through other appearances, but its causality is not so determined. While the effects are to be found in the series of empirical con- ditions, the intelligible cause, together with its causality, is outside the series. Thus the effect may be regarded as free in respect of its intelligible cause, and at the same time in respect of appearances as resulting from them according to the neces- sity of nature. This distinction, when stated in this quite general and abstract manner, is bound to appear extremely subtle and obscure, but will become clear in the course of its application. My purpose has only been to point out that since the thorough- going connection of all appearances, in a context of nature, is an inexorable law, the inevitable consequence of obstinately insisting upon the reality of appearances is to destroy all freedom. Those who thus follow the common view have never been able to reconcile nature and freedom. Possibility of Causality through Freedom, in Harmony with the Universal Law of Natural Necessity. Whatever in an object of the senses is not itself appearance, I entitle intelligible. If, therefore, that which in the sensible world must be regarded as appearance has in itself a faculty which is not an object of sensible intuition, but through which it can be the cause of appearances, the causality of this being can be regarded from two points of view. Regarded as the causality of a thing in itself, it is intelligible in its action; re- garded as the causality of an appearance in the world of sense, it is sensible in its effects. We should therefore have to form both an empirical and an intellectual concept of the causality of the faculty of such a subject, and to regard both as referring to one and the same effect. This twofold manner of conceiving the faculty possessed by an object of the senses does not contradict any of the concepts which we have to form of appearances and of a possible experience. For since they are not things in them- selves, they must rest upon a transcendental object which deter- mines them as mere representations; and consequently there is nothing to prevent us from ascribing to this transcendental P 468 object, besides the quality in terms of which it appears, a causality which is not appearance, although its effect is to be met with in appearance. Every efficient cause must have a character, that is, a law of its causality, without which it would not be a cause. On the above supposition, we should, therefore, in a subject belonging to the sensible world have, first, an empirical character, whereby its actions, as appear- ances, stand in thoroughgoing connection with other appear- ances in accordance with unvarying laws of nature. And since these actions can be derived from the other appearances, they constitute together with them a single series in the order of nature. Secondly, we should also have to allow the subject an intelligible character, by which it is indeed the cause of those same actions [in their quality] as appearances, but which does not itself stand under any conditions of sensibility, and is not itself appearance. We can entitle the former the character of the thing in the [field of] appearance, and the latter its char- acter as thing in itself. Now this acting subject would not, in its intelligible character, stand under any conditions of time; time is only a condition of appearances, not of things in themselves. In this subject no action would begin or cease, and it would not, there- fore, have to conform to the law of the determination of all that is alterable in time, namely, that everything which happens must have its cause in the appearances which precede it. In a word, its causality, so far as it is intelligible, would not have a place in the series of those empirical conditions through which the event is rendered necessary in the world of sense. This intelligible character can never, indeed, be immediately known, for nothing can be perceived except in so far as it appears. It would have to be thought in accordance with the empirical character-- just as we are constrained to think a transcendental object as underlying appearances, though we know nothing of what it is in itself. In its empirical character, therefore, this subject, as ap- pearance, would have to conform to all the laws of causal determination. To this extent it could be nothing more than a part of the world of sense, and its effects, like all other P 469 appearances, must be the inevitable outcome of nature. In proportion as outer appearances are found to influence it, and in proportion as its empirical character, that is, the law of its causality, becomes known through experience, all its actions must admit of explanation in accordance with the laws of nature. In other words, all that is required for their complete and necessary determination must be found in a possible experience. In its intelligible character (though we can only have a general concept of that character) this same subject must be considered to be free from all influence of sensibility and from all determination through appearances. Inasmuch as it is noumenon, nothing happens in it; there can be no change requiring dynamical determination in time, and therefore no causal dependence upon appearances. And consequently, since natural necessity is to be met with only in the sensible world, this active being must in its actions be independent of, and free from all such necessity. No action begins in this active being itself; but we may yet quite correctly say that the active being of itself begins its effects in the sensible world. In so doing, we should not be asserting that the effects in the sensible world can begin of themselves; they are always prede- termined through antecedent empirical conditions, though solely through their empirical character (which is no more than the appearance of the intelligible), and so are only pos- sible as a continuation of the series of natural causes. In this way freedom and nature, in the full sense of these terms, can exist together, without any conflict, in the same actions, accord- ing as the actions are referred to their intelligible or to their sensible cause. Explanation of the Cosmological Idea of Freedom in its con- nection with Universal Natural Necessity. I have thought it advisable to give this outline sketch of the solution of our transcendental problem, so that we may be the better enabled to survey the course which reason has to adopt in arriving at the solution. I shall now proceed to set forth the various factors involved in this solution, and to con- sider each in detail. That everything which happens has a cause, is a law of nature. Since the causality of this cause, that is, the action of P 470 the cause, is antecedent in time to the effect which has ensued upon it, it cannot itself have always existed, but must have happened, and among the appearances must have a cause by which it in turn is determined. Consequently, all events are empirically determined in an order of nature. Only in virtue of this law can appearances constitute a nature and become objects of experience. This law is a law of the understanding, from which no departure can be permitted, and from which no appearance may be exempted. To allow such exemption would be to set an appearance outside all possible experience, to distinguish it from all objects of possible experience, and so to make of it a mere thought-entity, a phantom of the brain. This would seem to imply the existence of a chain of causes which in the regress to their conditions allows of no absolute tot- ality. But that need not trouble us. The point has already been dealt with in the general discussion of the antinomy into which reason falls when in the series of appearances it proceeds to the unconditioned. Were we to yield to the illusion of transcendental realism, neither nature nor freedom would remain. The only question here is this: -- Admitting that in the whole series of events there is nothing but natural necessity, is it yet possible to regard one and the same event as being in one aspect merely an effect of nature and in another aspect an effect due to free- dom; or is there between these two kinds of causality a direct contradiction? Among the causes in the [field of] appearance there cer- tainly cannot be anything which could begin a series abso- lutely and of itself. Every action, [viewed] as appearance, in so far as it gives rise to an event, is itself an event or happening, and presupposes another state wherein its cause is to be found. Thus everything which happens is merely a continuation of the series, and nothing that begins of itself is a possible mem- ber of the series. The actions of natural causes in the time- sequence are thus themselves effects; they presuppose causes antecedent to them in the temporal series. An original act, such as can by itself bring about what did not exist before, is not to be looked for in the causally connected appearances. Now granting that effects are appearances and that their cause is likewise appearance, is it necessary that the causality of their cause should be exclusively empirical? May it not P 471 rather be, that while for every effect in the [field of] appear- ance a connection with its cause in accordance with the laws of empirical causality is indeed required, this empirical causality, without the least violation of its connection with natural causes, is itself an effect of a causality that is not empirical but intelligible? This latter causality would be the action of a cause which, in respect of appearances, is original, and therefore, as pertaining to this faculty, not appearance but intelligible; although it must otherwise, in so far as it is a link in the chain of nature, be regarded as entirely belonging to the world of sense. The principle of the causal connection of appearances is required in order that we may be able to look for and to determine the natural conditions of natural events, that is to say, their causes in the [field of] appearance. If this principle be admitted, and be not weakened through any exception, the requirements of the understanding, which in its empirical employment sees in all happenings nothing but nature, and is justified in so doing, are completely satisfied; and physical ex- planations may proceed on their own lines without interference. These requirements are not in any way infringed, if we assume, even though the assumption should be a mere fiction, that some among the natural causes have a faculty which is intelligible only, inasmuch as its determination to action never rests upon empirical conditions, but solely on grounds of understanding. We must, of course, at the same time be able to assume that the action of these causes in the [field of] appearance is in con- formity with all the laws of empirical causality. In this way the acting subject, as causa phaenomenon, would be bound up with nature through the indissoluble dependence of all its actions, and only as we ascend from the empirical object to the transcendental should we find that this subject, together with all its causality in the [field of] appearance, has in its noumenon certain conditions which must be regarded as purely intelligible. For if in determining in what ways appear- ances can serve as causes we follow the rules of nature, we need not concern ourselves what kind of ground for these appearances and their connection may have to be thought as existing in the transcendental subject, which is empirically P 472 unknown to us. This intelligible ground does not have to be considered in empirical enquiries; it concerns only thought in the pure understanding; and although the effects of this thought and action of the pure understanding are to be met with in the appearances, these appearances must none the less be capable of complete causal explanation in terms of other appearances in accordance with natural laws. We have to take their strictly empirical character as the supreme ground of explanation, leaving entirely out of account their intelligible character (that is, the transcendental cause of their empirical character) as being completely unknown, save in so far as the empirical serves for its sensible sign. Let us apply this to experience. Man is one of the appear- ances of the sensible world, and in so far one of the natural causes the causality of which must stand under empirical laws. Like all other things in nature, he must have an em- pirical character. This character we come to know through the powers and faculties which he reveals in his actions. In lifeless, or merely animal, nature we find no ground for thinking that any faculty is conditioned otherwise than in a merely sensible manner. Man, however, who knows all the rest of nature solely through the senses, knows himself also through pure apperception; and this, indeed, in acts and inner determinations which he cannot regard as impressions of the senses. He is thus to himself, on the one hand phenomenon, and on the other hand, in respect of certain faculties the action of which cannot be ascribed to the receptivity of sensibility, a purely intelligible object. We entitle these faculties understanding and reason. The latter, in particular, we distinguish in a quite peculiar and especial way from all empirically conditioned powers. For it views its objects ex- clusively in the light of ideas, and in accordance with them determines the understanding, which then proceeds to make an empirical use of its own similarly pure concepts. That our reason has causality, or that we at least represent it to ourselves as having causality, is evident from the impera- tives which in all matters of conduct we impose as rules upon our active powers. 'Ought' expresses a kind of necessity and of connection with grounds which is found nowhere else in the P 473 whole of nature. The understanding can know in nature only what is, what has been, or what will be. We cannot say that anything in nature ought to be other than what in all these time-relations it actually is. When we have the course of nature alone in view, 'ought' has no meaning whatsoever. It is just as absurd to ask what ought to happen in the natural world as to ask what properties a circle ought to have. All that we are justified in asking is: what happens in nature? what are the properties of the circle? This 'ought' expresses a possible action the ground of which cannot be anything but a mere concept; whereas in the case of a merely natural action the ground must always be an appearance. The action to which the 'ought' applies must in- deed be possible under natural conditions. These conditions, however, do not play any part in determining the will itself, but only in determining the effect and its consequences in the [field of] appearance. No matter how many natural grounds or how many sensuous impulses may impel me to will, they can never give rise to the 'ought', but only to a willing which, while very far from being necessary, is always conditioned; and the 'ought' pronounced by reason confronts such willing with a limit and an end -- nay more, forbids or authorises it. Whether what is willed be an object of mere sensibility (the pleasant) or of pure reason (the good),reason will not give way to any ground which is empirically given. Reason does not here follow the order of things as they present themselves in appearance, but frames to itself with perfect spontaneity an order of its own ac- cording to ideas, to which it adapts the empirical conditions, and according to which it declares actions to be necessary, even although they have never taken place, and perhaps never will take place. And at the same time reason also presupposes that it can have causality in regard to all these actions, since otherwise no empirical effects could be expected from its ideas. Now, in view of these considerations, let us take our stand, and regard it as at least possible for reason to have causality with respect to appearances. Reason though it be, it must none the less exhibit an empirical character. For every cause presupposes a rule according to which certain appear- ances follow as effects; and every rule requires uniformity in the effects. This uniformity is, indeed, that upon which the P 474 concept of cause (as a faculty) is based, and so far as it must be exhibited by mere appearances may be named the em- pirical character of the cause. This character is permanent, but its effects, according to variation in the concomitant and in part limiting conditions, appear in changeable forms. Thus the will of every man has an empirical character, which is nothing but a certain causality of his reason, so far as that causality exhibits, in its effects in the [field of] appearance, a rule from which we may gather what, in their kind and de- grees, are the actions of reason and the grounds thereof, and so may form an estimate concerning the subjective principles of his will. Since this empirical character must itself be dis- covered from the appearances which are its effect and from the rule to which experience shows them to conform, it follows that all the actions of men in the [field of] appear- ance are determined in conformity with the order of nature, by their empirical character and by the other causes which co- moderate with that character; and if we could exhaustively in- vestigate all the appearances of men's wills, there would not be found a single human action which we could not predict with certainty, and recognise as proceeding necessarily from its antecedent conditions. So far, then, as regards this em- pirical character there is no freedom; and yet it is only in the light of this character that man can be studied -- if, that is to say, we are simply observing, and in the manner of anthro- pology seeking to institute a physiological investigation into the motive causes of his actions. But when we consider these actions in their relation to reason -- I do not mean speculative reason, by which we en- deavour to explain their coming into being, but reason in so far as it is itself the cause producing them -- if, that is to say, we compare them with [the standards of] reason in its practical bearing, we find a rule and order altogether different from the order of nature. For it may be that all that has happened in the course of nature, and in accordance with its empirical grounds must inevitably have happened, ought not to have happened. Sometimes, however, we find, or at least believe that we find, that the ideas of reason have in actual fact proved their caus- ality in respect of the actions of men, as appearances; and that these actions have taken place, not because they were P 475 determined by empirical causes, but because they were deter- mined by grounds of reason. Granted, then, that reason may be asserted to have caus- ality in respect of appearance, its action can still be said to be free, even although its empirical character (as a mode of sense) is completely and necessarily determined in all its detail. This empirical character is itself determined in the in- telligible character (as a mode of thought). The latter, how- ever, we do not know; we can only indicate its nature by means of appearances; and these really yield an immediate knowledge only of the mode of sense, the empirical char- acter. The action, in so far as it can be ascribed to a mode of thought as its cause, does not follow therefrom in accord- ance with empirical laws; that is to say, it is not preceded by the conditions of pure reason, but only by their effects in the [field of] appearance of inner sense. Pure reason, as a purely intelligible faculty, is not subject to the form of time, nor consequently to the conditions of succession in time. The causality of reason in its intelligible character does not, in pro- ducing an effect, arise or begin to be at a certain time. For in that case it would itself be subject to the natural law of appear- ances, in accordance with which causal series are determined in time; and its causality would then be nature, not freedom. Thus all that we are justified in saying is that, if reason can have causality in respect of appearances, it is a faculty through which the sensible condition of an empirical series of effects first begins. For the condition which lies in reason is not sensible, and therefore does not itself begin to be. And thus what we failed to find in any empirical series is disclosed as being possible, namely, that the condition of a successive series of events may itself be empirically unconditioned. ++ The real morality of actions, their merit or guilt, even that of our own conduct, thus remains entirely hidden from us. Our im- putations can refer only to the empirical character. How much of this character is ascribable to the pure effect of freedom, how much to mere nature, that is, to faults of temperament for which there is no responsibility, or to its happy constitution (merito fortunae), can never be determined; and upon it therefore no perfectly just judg- ments can be passed. P 476 For here the condition is outside the series of appearances (in the intelligible), and therefore is not subject to any sensible con- dition, and to no time-determination through an antecedent cause. The same cause does, indeed, in another relation, belong to the series of appearances. Man is himself an appearance. His will has an empirical character, which is the empirical cause of all his actions. There is no condition determining man in accordance with this character which is not contained in the series of natural effects, or which is not subject to their law -- the law according to which there can be no empirically unconditioned causality of that which happens in time. There- fore no given action (since it can be perceived only as appear- ance) can begin absolutely of itself. But of pure reason we cannot say that the state wherein the will is determined is preceded and itself determined by some other state. For since reason is not itself an appearance, and is not subject to any conditions of sensibility, it follows that even as regards its causality there is in it no time-sequence, and that the dyna- mical law of nature, which determines succession in time in accordance with rules, is not applicable to it. Reason is the abiding condition of all those actions of the will under [the guise of] which man appears. Before ever they have happened, they are one and all predetermined in the empirical character. In respect of the intelligible character, of which the empirical character is the sensible schema, there can be no before and after; every action, irrespective of its relation in time to other appearances, is the immediate effect of the intelligible character of pure reason. Reason therefore acts freely; it is not dynamically determined in the chain of natural causes through either outer or inner grounds antecedent in time. This freedom ought not, therefore, to be conceived only negatively as independence of empirical conditions. The faculty of reason, so regarded, would cease to be a cause of 5852)appearances. It must also be described in positive terms, as the power of originating a series of events. In reason itself nothing begins; as unconditioned condition of every voluntary act, it admits of no conditions antecedent to itself in time. Its effect has, indeed, a beginning in the series of appearances, but never in this series an absolutely first beginning. P 477 In order to illustrate this regulative principle of reason by an example of its empirical employment -- not, however, to con- firm it, for it is useless to endeavour to prove transcendental propositions by examples -- let us take a voluntary action, for example, a malicious lie by which a certain confusion has been caused in society. First of all, we endeavour to discover the motives to which it has been due, and then, secondly, in the light of these, we proceed to determine how far the action and its consequences can be imputed to the offender. As regards the first question, we trace the empirical character of the action to its sources, finding these in defective education, bad company, in part also in the viciousness of a natural disposition insensitive to shame, in levity and thoughtlessness, not neglecting to take into account also the occasional causes that may have inter- vened. We proceed in this enquiry just as we should in ascer- taining for a given natural effect the series of its determining causes. But although we believe that the action is thus deter- mined, we none the less blame the agent, not indeed on account of his unhappy disposition, nor on account of the circum- stances that have influenced him, nor even on account of his previous way of life; for we presuppose that we can leave out of consideration what this way of life may have been, that we can regard the past series of conditions as not having occurred and the act as being completely unconditioned by any preceding state, just as if the agent in and by himself began in this action an entirely new series of consequences. Our blame is based on a law of reason whereby we regard reason as a cause that irrespective of all the above-mentioned empirical conditions could have determined, and ought to have determined, the agent to act otherwise. This causality of reason we do not re- gard as only a co-operating agency, but as complete in itself, even when the sensuous impulses do not favour but are directly opposed to it; the action is ascribed to the agent's intelligible character; in the moment when he utters the lie, the guilt is entirely his. Reason, irrespective of all empirical conditions of the act, is completely free, and the lie is entirely due to its default. Such imputation clearly shows that we consider reason to be unaffected by these sensible influences, and not liable to alteration. Its appearances -- the modes in which it manifests P 478 itself in its effects -- do alter; but in itself [so we consider] there is no preceding state determining the state that follows. That is to say, it does not belong to the series of sensible conditions which render appearances necessary in accordance with laws of nature. Reason is present in all the actions of men at all times and under all circumstances, and is always the same; but it is not itself in time, and does not fall into any new state in which it was not before. In respect to new states, it is deter- mining, not determinable. We may not, therefore, ask why reason has not determined itself differently, but only why it has not through its causality determined the appearances differ- ently. But to this question no answer is possible. For a different intelligible character would have given a different empirical character. When we say that in spite of his whole previous course of life the agent could have refrained from lying, this only means that the act is under the immediate power of reason, and that reason in its causality is not subject to any conditions of appearance or of time. Although difference of time makes a fundamental difference to appearances in their relations to one another -- for appearances are not things in themselves and therefore not causes in themselves -- it can make no difference to the relation in which the action stands to reason. Thus in our judgments in regard to the causality of free actions, we can get as far as the intelligible cause, but not be- yond it. We can know that it is free, that is, that it is deter- mined independently of sensibility, and that in this way it may be the sensibly unconditioned condition of appearances. But to explain why in the given circumstances the intelligible char- acter should give just these appearances and this empirical character transcends all the powers of our reason, indeed all its rights of questioning, just as if we were to ask why the trans- cendental object of our outer sensible intuition gives intuition in space only and not some other mode of intuition. But the problem which we have to solve does not require us to raise any such questions. Our problem was this only: whether freedom and natural necessity can exist without conflict in one and the same action; and this we have sufficiently answered. We have shown that since freedom may stand in relation to a quite different kind of conditions from those of natural necessity, the law of the latter does not affect the former, and that both P 479 may exist, independently of one another and without inter- fering with each other. * * * The reader should be careful to observe that in what has been said our intention has not been to establish the reality of freedom as one of the faculties which contain the cause of the appearances of our sensible world. For that enquiry, as it does not deal with concepts alone, would not have been trans- cendental. And further, it could not have been successful, since we can never infer from experience anything which can- not be thought in accordance with the laws of experience. It has not even been our intention to prove the possibility of freedom. For in this also we should not have succeeded, since we cannot from mere concepts a priori know the possibility of any real ground and its causality. Freedom is here being treated only as a transcendental idea whereby reason is led to think that it can begin the series of conditions in the [field of] appearance by means of the sensibly unconditioned, and so becomes involved in an antinomy with those very laws which it itself prescribes to the empirical employment of the under- standing. What we have alone been able to show, and what we have alone been concerned to show, is that this antinomy rests on a sheer illusion, and that causality through freedom is at least not incompatible with nature. IV Solution of the Cosmological Idea of the Totality of the De- pendence of Appearances as regards their Existence in general In the preceding subsection we have considered the changes of the sensible world in so far as they form a dynamical series, each member being subordinate to another as effect to cause. We shall now employ this series of states merely to guide us in our search for an existence that may serve as the supreme condition of all that is alterable, that is, in our search for necessary being. We are concerned here, not with unconditioned causality, but with the unconditioned existence of substance itself. The series which we have in P 480 view is, therefore, really a series of concepts, not a series of intuitions in which one intuition is the condition of the other. But it is evident that since everything in the sum-total of appearances is alterable, and therefore conditioned in its existence, there cannot be in the whole series of dependent ex- istence any unconditioned member the existence of which can be regarded as absolutely necessary. Hence, if appearances were things in themselves, and if, as would then follow, the condition and the conditioned always belonged to one and the same series of intuitions, by no possibility could a necessary being exist as the condition of the existence of appearances in the world of sense. The dynamical regress is distinguished in an important re- spect from the mathematical. Since the mathematical regress is concerned only with the combining of parts to form a whole, or the division of a whole into parts, the conditions of this series must always be regarded as parts of the series, and there- fore as homogeneous and as appearances. In the dynamical regress, on the other hand, we are concerned, not with the pos- sibility of an unconditioned whole of given parts, or with an unconditioned part for a given whole, but with the derivation of a state from its cause, or of the contingent existence of sub- stance itself from necessary existence. In this latter regress, it is not, therefore, necessary that the condition should form part of an empirical series along with the conditioned. A way of escape from this apparent antinomy thus lies open to us. Both of the conflicting propositions may be true, if taken in different connections. All things in the world of sense may be contingent, and so have only an empirically conditioned existence, while yet there may be a non-empirical condition of the whole series; that is, there may exist an un- conditionally necessary being. This necessary being, as the intelligible condition of the series, would not belong to it as a member, not even as the highest member of it, nor would it render any member of the series empirically unconditioned. The whole sensible world, so far as regards the empirically conditioned existence of all its various members, would be left unaffected. This way of conceiving how an unconditioned P 481 being may serve as the ground of appearance differs from that which we followed in the preceding subsection, in dealing with the empirically unconditioned causality of freedom. For there the thing itself was as cause (substantia phaenomenon) con- ceived to belong to the series of conditions, and only its causality was thought as intelligible. Here, on the other hand, the necessary being must be thought as entirely outside the series of the sensible world (as ens extramundanum), and as purely intelligible. In no other way can it be secured against the law which renders all appearances contingent and de- pendent. The regulative principle of reason, so far as it bears upon our present problem, is therefore this, that everything in the sensible world has an empirically conditioned existence, and that in no one of its qualities can it be unconditionally neces- sary; that for every member in the series of conditions we must expect, and as far as possible seek, an empirical condition in some possible experience; and that nothing justifies us in deriving an existence from a condition outside the empirical series or even in regarding it in its place within the series as absolutely independent and self-sufficient. At the same time this principle does not in any way debar us from recognis- ing that the whole series may rest upon some intelligible being that is free from all empirical conditions and itself contains the ground of the possibility of all appearances. In these remarks we have no intention of proving the un- conditionally necessary existence of such a being, or even of establishing the possibility of a purely intelligible condition of the existence of appearances in the sensible world. Just as, on the one hand, we limit reason, lest in leaving the guiding- thread of the empirical conditions it should go straying into the transcendent, adopting grounds of explanation that are incapable of any representation in concreto, so, on the other hand, we limit the law of the purely empirical employment of the understanding, lest it should presume to decide as to the possibility of things in general, and should declare the in- telligible to be impossible, merely on the ground that it is not of any use in explaining appearances. Thus all that we have shown is that the thoroughgoing contingency of all natural things, and of all their empirical conditions, is quite P 482 consistent with the optional assumption of a necessary, though purely intelligible, condition; and that as there is no real con- tradiction between the two assertions, both may be true. Such an absolutely necessary being, as conceived by the under- standing, may be in itself impossible, but this can in no wise be inferred from the universal contingency and dependence of everything belonging to the sensible world, nor from the prin- ciple which interdicts us from stopping at any one of its con- tingent members and from appealing to a cause outside the world. Reason proceeds by one path in its empirical use, and by yet another path in its transcendental use. The sensible world contains nothing but appearances, and these are mere representations which are always sensibly con- ditioned; in this field things in themselves are never objects to us. It is not therefore surprising that in dealing with a member of the empirical series, no matter what member it may be, we are never justified in making a leap out beyond the context of sensibility. To do so is to treat the appearances as if they were things in themselves which exist apart from their tran- scendental ground, and which can remain standing while we seek an outside cause of their existence. This certainly would ultimately be the case with contingent things, but not with mere representations of things, the contingency of which is itself merely phenomenon, and can lead to no other regress than that which determines the phenomena, that is, solely to the empirical regress. On the other hand, to think an intelli- gible ground of the appearances, that is, of the sensible world, and to think it as free from the contingency of appearances, does not conflict either with the unlimited empirical regress in the series of appearances nor with their thoroughgoing con- tingency. That, indeed, is all that we had to do in order to remove the apparent antinomy; and it can be done in this way only. If for everything conditioned in its existence the con- dition is always sensible, and therefore belongs to the series, it must itself in turn be conditioned, as we have shown in the antithesis of the fourth antinomy. Either, therefore, reason through its demand for the unconditioned must remain in conflict with itself, or this unconditioned must be posited out- side the series, in the intelligible. Its necessity will not then P 483 require, or allow of, any empirical condition; so far as appear- ances are concerned, it will be unconditionally necessary. The empirical employment of reason, in reference to the conditions of existence in the sensible world, is not affected by the admission of a purely intelligible being; it proceeds, in accordance with the principle of thoroughgoing contingency, from empirical conditions to higher conditions which are always again empirical. But it is no less true, when what we have in view is the pure employment of reason, in reference to ends, that this regulative principle does not exclude the assumption of an intelligible cause which is not in the series. For the intelligible cause then signifies only the purely tran- scendental and to us unknown ground of the possibility of the sensible series in general. Its existence as independent of all sensible conditions and as in respect of these conditions un- conditionally necessary, is not inconsistent with the unlimited contingency of appearances, that is to say, with the never- ending regress in the series of empirical conditions. Concluding Note on the whole Antinomy of Pure Reason. So long as reason, in its concepts, has in view simply the totality of conditions in the sensible world, and is considering what satisfaction in this regard it can obtain for them, our ideas are at once transcendental and cosmological. Immedi- ately, however, the unconditioned (and it is with this that we are really concerned) is posited in that which lies entirely outside the sensible world, and therefore outside all possible experi- ence, the ideas become transcendent. They then no longer serve only for the completion of the empirical employment of reason -- an idea [of completeness] which must always be pursued, though it can never be completely achieved. On the contrary, they detach themselves completely from experience, and make for themselves objects for which experience supplies no material, and whose objective reality is not based on comple- tion of the empirical series but on pure a priori concepts. Such transcendent ideas have a purely intelligible object; and this object may indeed be admitted as a transcendental object, but only if we likewise admit that, for the rest, we have no know- P 484 ledge in regard to it, and that it cannot be thought as a deter- minate thing in terms of distinctive inner predicates. As it is independent of all empirical concepts, we are cut off from any reasons that could establish the possibility of such an object, and have not the least justification for assuming it. It is a mere thought-entity. Nevertheless the cosmological idea which has given rise to the fourth antinomy impels us to take this step. For the existence of appearances, which is never self-grounded but always conditioned, requires us to look around for something different from all appearances, that is, for an intelligible object in which this contingency may terminate. But once we have allowed ourselves to assume a self-subsistent reality entirely outside the field of sensibility, appearances can only be viewed as contingent modes whereby beings that are themselves intelli- gences represent intelligible objects. Consequently, the only resource remaining to us is the use of analogy, by which we employ the concepts of experience in order to form some sort of concept of intelligible things -- things of which as they are in themselves we have yet not the least knowledge. Since the contingent is not to be known save through ex- perience, and we are here concerned with things which are not to be in any way objects of experience, we must derive the knowledge of them from that which is in itself necessary, that is, from pure concepts of things in general. Thus the very first step which we take beyond the world of sense obliges us, in seeking for such new knowledge, to begin with an enquiry into absolutely necessary being, and to derive from the concepts of it the concepts of all things in so far as they are purely intelligible. This we propose to do in the next chapter. P 485 TRANSCENDENTAL DIALECTIC BOOK II CHAPTER III THE IDEAL OF PURE REASON Section I THE IDEAL IN GENERAL WE have seen above that no objects can be represented through pure concepts of understanding, apart from the con- ditions of sensibility. For the conditions of the objective reality of the concepts are then absent, and nothing is to be found in them save the mere form of thought. If, however, they are applied to appearances, they can be exhibited in concreto, because in the appearances they obtain the appro- priate material for concepts of experience -- a concept of ex- perience being nothing but a concept of understanding in concreto. But ideas are even further removed from objective reality than are categories, for no appearance can be found in which they can be represented in concreto. They contain a certain completeness to which no possible empirical know- ledge ever attains. In them reason aims only at a systematic unity, to which it seeks to approximate the unity that is em- pirically possible, without ever completely reaching it. But what I entitle the ideal seems to be further removed from objective reality even than the idea. By the ideal I under- stand the idea, not merely in concreto, but in individuo, that is, as an individual thing, determinable or even determined by the idea alone. Humanity [as an idea] in its complete perfection contains not only all the essential qualities which belong to human nature and constitute our concept of it -- and these so extended P 486 as to be in that complete conformity with their ends which would be our idea of perfect humanity -- but also everything which, in addition to this concept, is required for the complete determination of the idea. For of all contradictory predicates one only [of each pair] can apply to the idea of the perfect man. What to us is an ideal was in Plato's view an idea of the divine understanding, an individual object of its pure intuition, the most perfect of every kind of possible being, and the archetype of all copies in the [field of] appearance. Without soaring so high, we are yet bound to confess that human reason contains not only ideas, but ideals also, which although they do not have, like the Platonic ideas, creative power, yet have practical power (as regulative principles), and form the basis of the possible perfection of certain actions. Moral concepts, as resting on something empirical (pleasure or displeasure), are not completely pure concepts of reason. None the less, in respect of the principle whereby reason sets bounds to a freedom which is in itself without law, these con- cepts (when we attend merely to their form) may well serve as examples of pure concepts of reason. Virtue, and therewith human wisdom in its complete purity, are ideas. The wise man (of the Stoics) is, however, an ideal, that is, a man exist- ing in thought only, but in complete conformity with the idea of wisdom. As the idea gives the rule, so the ideal in such a case serves as the archetype for the complete determination of the copy; and we have no other standard for our actions than the conduct of this divine man within us, with which we compare and judge ourselves, and so reform ourselves, although we can never attain to the perfection thereby pre- scribed. Although we cannot concede to these ideals objective reality (existence), they are not therefore to be regarded as figments of the brain; they supply reason with a standard which is indispensable to it, providing it, as they do, with a concept of that which is entirely complete in its kind, and thereby enabling it to estimate and to measure the degree and the defects of the incomplete. But to attempt to realise the ideal in an example, that is, in the [field of] appearance, as, for instance, to depict the [character of the perfectly] wise man in a romance, is impracticable. There is indeed something absurd, P 487 and far from edifying, in such an attempt, inasmuch as the natural limitations, which are constantly doing violence to the completeness of the idea, make the illusion that is aimed at altogether impossible, and so cast suspicion on the good itself -- the good that has its source in the idea -- by giving it the air of being a mere fiction. Such is the nature of the ideal of reason, which must always rest on determinate concepts and serve as a rule and archetype, alike in our actions and in our critical judgments. The products of the imagination are of an entirely different nature; no one can explain or give an intelligible concept of them; each is a kind of monogram, a mere set of particular qualities, determined by no assignable rule, and forming rather a blurred sketch drawn from diverse experiences than a determinate image -- a representation such as painters and physiognomists profess to carry in their heads, and which they treat as being an incommunicable shadowy image of their creations or even of their critical judgments. Such repre- sentations may be entitled, though improperly, ideals of sensibility, inasmuch as they are viewed as being models (not indeed realisable) of possible empirical intuitions, and yet furnish no rules that allow of being explained and examined. Reason, in its ideal, aims, on the contrary, at complete determination in accordance with a priori rules. Accordingly it thinks for itself an object which it regards as being com- pletely determinable in accordance with principles. The conditions that are required for such determination are not, however, to be found in experience, and the concept itself is therefore transcendent. CHAPTER III Section 2 THE TRANSCENDENTAL IDEAL (Prototypon Transcendentale) Every concept is, in respect of what is not contained in it, undetermined, and is subject to the principle of determin- P 488 ability. According to this principle, of every two contradict- orily opposed predicates only one can belong to a concept. This principle is based on the law of contradiction, and is therefore a purely logical principle. As such, it abstracts from the entire content of knowledge and is concerned solely with its logical form. But every thing, as regards its possibility, is likewise sub- ject to the principle of complete determination, according to which if all the possible predicates of things be taken together with their contradictory opposites, then one of each pair of contradictory opposites must belong to it. This principle does not rest merely on the law of contradiction; for, besides con- sidering each thing in its relation to the two contradictory predicates, it also considers it in its relation to the sum of all possibilities, that is, to the sum-total of all predicates of things. Presupposing this sum as being an a priori condition, it proceeds to represent everything as deriving its own pos- sibility from the share which it possesses in this sum of all possibilities. The principle of complete determination con- cerns, therefore, the content, and not merely the logical form. It is the principle of the synthesis of all predicates which are intended to constitute the complete concept of a thing, and not simply a principle of analytic representation in reference merely to one of two contradictory predicates. It contains a transcend- ental presupposition, namely, that of the material for all possibility, which in turn is regarded as containing a priori the data for the particular possibility of each and every thing. The proposition, everything which exists is completely de- termined, does not mean only that one of every pair of given contradictory predicates, but that one of every [pair of] possible P 489 predicates, must always belong to it. P 488n ++ In accordance with this principle, each and every thing is there- fore related to a common correlate, the sum of all possibilities. If this correlate (that is, the material for all possible predicates) should be found in the idea of some one thing, it would prove an affinity of all possible things, through identity of the ground of their complete determination. Whereas the determinability of every concept is sub- ordinate to the universality (universalitas) of the principle of ex- cluded middle, the determination of a thing is subordinate to the totality (universitas) or sum of all possible predicates. P 489 In terms of this proposi- tion the predicates are not merely compared with one another logically, but the thing itself is compared, in transcendental fashion, with the sum of all possible predicates. What the pro- position therefore asserts is this: that to know a thing com- pletely, we must know every possible [predicate], and must determine it thereby, either affirmatively or negatively. The complete determination is thus a concept, which, in its totality, can never be exhibited in concreto. It is based upon an idea, which has its seat solely in the faculty of reason -- the faculty which prescribes to the understanding the rule of its complete employment. Although this idea of the sum of all possibility, in so far as it serves as the condition of the complete determination of each and every thing, is itself undetermined in respect of the predicates which may constitute it, and is thought by us as being nothing more than the sum of all possible predicates, we yet find, on closer scrutiny, that this idea, as a primordial concept, excludes a number of predicates which as derivative are already given through other predicates or which are in- compatible with others; and that it does, indeed, define itself as a concept that is completely determinate a priori. It thus becomes the concept of an individual object which is com- pletely determined through the mere idea, and must there- fore be entitled an ideal of pure reason. When we consider all possible predicates, not merely logically, but transcendentally, that is, with reference to such content as can be thought a priori as belonging to them, we find that through some of them we represent a being, through others a mere not-being. Logical negation, which is indi- cated simply through the word not, does not properly refer to a concept, but only to its relation to another concept in a judgment, and is therefore quite insufficient to determine a concept in respect of its content. The expression non-mortal does not enable us to declare that we are thereby representing in the object a mere not-being; the expression leaves all con- tent unaffected. A transcendental negation, on the other hand, signifies not-being in itself, and is opposed to transcendental affirmation, which is a something the very concept of which P 490 in itself expresses a being. Transcendental affirmation is there- fore entitled reality, because through it alone, and so far only as it reaches, are objects something (things), whereas its opposite, negation, signifies a mere want, and, so far as it alone is thought, represents the abrogation of all thinghood. Now no one can think a negation determinately, save by basing it upon the opposed affirmation. Those born blind can- not have the least notion of darkness, since they have none of light. The savage knows nothing of poverty, since he has no acquaintance with wealth. The ignorant have no concept of their ignorance, because they have none of knowledge etc. All concepts of negations are thus derivative; it is the realities which contain the data, and, so to speak, the material or transcendental content, for the possibility and complete determination of all things. If, therefore, reason employs in the complete determina- tion of things a transcendental substrate that contains, as it were, the whole store of material from which all possible predicates of things must be taken, this substrate cannot be anything else than the idea of an omnitudo realitatis. All true negations are nothing but limitations -- a title which would be inapplicable, were they not thus based upon the unlimited, that is, upon "the All. " But the concept of what thus possesses all reality is just the concept of a thing in itself as completely determined; and since in all possible [pairs of] contradictory predicates one predi- cate, namely, that which belongs to being absolutely, is to be found in its determination, the concept of an ens realissimum is the concept of an individual being. It is therefore a tran- scendental ideal which serves as basis for the complete P 491 determination that necessarily belongs to all that exists. P 490n ++ The observations and calculations of astronomers have taught us much that is wonderful; but the most important lesson that they have taught us has been by revealing the abyss of our ignorance, which otherwise we could never have conceived to be so great. Reflection upon the ignorance thus disclosed must produce a great change in our estimate of the purposes for which our reason should be employed. P 491 This ideal is the supreme and complete material condition of the possi- bility of all that exists -- the condition to which all thought of objects, so far as their content is concerned, has to be traced back. It is also the only true ideal of which human reason is capable. For only in this one case is a concept of a thing -- a con- cept which is in itself universal -- completely determined in and through itself, and known as the representation of an individual. The logical determination of a concept by reason is based upon a disjunctive syllogism, in which the major premiss contains a logical division (the division of the sphere of a universal concept), the minor premiss limiting this sphere to a certain part, and the conclusion determining the concept by means of this part. The universal concept of a reality in general cannot be divided a priori, because without experience we do not know any determinate kinds of reality which would be con- tained under that genus. The transcendental major premiss which is presupposed in the complete determination of all things is therefore no other than the representation of the sum of all reality; it is not merely a concept which, as regards its transcendental content, comprehends all predicates under itself; it also contains them within itself; and the complete determination of any and every thing rests on the limitation of this total reality, inasmuch as part of it is ascribed to the thing, and the rest is excluded -- a procedure which is in agreement with the 'either-or' of the disjunctive major premiss and with the determination of the object, in the minor premiss, through one of the members of the division. Accordingly, reason, in em- ploying the transcendental ideal as that by reference to which it determines all possible things, is proceeding in a manner analogous with its procedure in disjunctive syllogisms -- this, indeed, is the principle upon which I have based the system- atic division of all transcendental ideas, as parallel with, and corresponding to, the three kinds of syllogism. It is obvious that reason, in achieving its purpose, that, namely, of representing the necessary complete determination of things, does not presuppose the existence of a being that corresponds to this ideal, but only the idea of such a being, and this only for the purpose of deriving from an unconditioned P 492 totality of complete determination the conditioned totality, that is, the totality of the limited. The ideal is, therefore, the archetype (prototypon) of all things, which one and all, as imperfect copies (ectypa), derive from it the material of their possibility, and while approximating to it in varying degrees, yet always fall very far short of actually attaining it. All possibility of things (that is, of the synthesis of the mani- fold, in respect of its content) must therefore be regarded as derivative, with only one exception, namely, the possibility of that which includes in itself all reality. This latter possibility must be regarded as original. For all negations (which are the only predicates through which anything can be distinguished from the ens realissimum) are merely limitations of a greater, and ultimately of the highest, reality; and they therefore pre- suppose this reality, and are, as regards their content, derived from it. All manifoldness of things is only a correspondingly varied mode of limiting the concept of the highest reality which forms their common substratum, just as all figures are only pos- sible as so many different modes of limiting infinite space. The object of the ideal of reason, an object which is present to us only in and through reason, is therefore entitled the primordial being (ens originarium). As it has nothing above it, it is also entitled the highest being (ens summum); and as everything that is con- ditioned is subject to it, the being of all beings (ens entium). These terms are not, however, to be taken as signifying the objective relation of an actual object to other things, but of an idea to concepts. We are left entirely without knowledge as to the existence of a being of such outstanding pre-eminence. We cannot say that a primordial being consists of a number of derivative beings, for since the latter presuppose the former they cannot themselves constitute it. The idea of the prim- ordial being must therefore be thought as simple. Consequently, the derivation of all other possibility from this primordial being cannot, strictly speaking, be regarded as a limitation of its supreme reality, and, as it were, a division of it. For in that case the primordial being would be treated as a mere aggregate of derivative beings; and this, as we have just shown, is impossible, although in our first rough statements we have used such language. On the contrary, the supreme P 493 reality must condition the possibility of all things as their ground, not as their sum; and the manifoldness of things must therefore rest, not on the limitation of the primordial being itself, but on all that follows from it, including therein all our sensibility, and all reality in the [field of] appearance -- existences of a kind which cannot, as ingredients, belong to the idea of the supreme being. If, in following up this idea of ours, we proceed to hypos- tatise it, we shall be able to determine the primordial being through the mere concept of the highest reality, as a being that is one, simple, all-sufficient, eternal, etc. In short, we shall be able to determine it, in its unconditioned completeness, through all predicaments. The concept of such a being is the concept of God, taken in the transcendental sense; and the ideal of pure reason, as above defined, is thus the object of a transcendental theology. In any such use of the transcendental idea we should, how- ever, be overstepping the limits of its purpose and validity. For reason, in employing it as a basis for the complete deter- mination of things, has used it only as the concept of all reality, without requiring that all this reality be objectively given and be itself a thing. Such a thing is a mere fiction in which we combine and realise the manifold of our idea in an ideal, as an individual being. But we have no right to do this, nor even to assume the possibility of such an hypothesis. Nor do any of the consequences which flow from such an ideal have any bearing upon the complete determination of things, or exercise in that regard the least influence; and it is solely as aiding in their determination that the idea has been shown to be necessary. But merely to describe the procedure of our reason and its dialectic does not suffice; we must also endeavour to discover the sources of this dialectic, that we may be able to explain, as a phenomenon of the understanding, the illusion to which it has given rise. For the ideal, of which we are speaking, is based on a natural, not on a merely arbitrary idea. The ques- tion to be raised is therefore this: how does it happen that reason regards all possibility of things as derived from one single fundamental possibility, namely, that of the highest P 494 reality, and thereupon presupposes this to be contained in an individual primordial being? The answer is obvious from the discussions in the Tran- scendental Analytic. The possibility of the objects of the senses is a relation of these objects to our thought, in which some- thing (namely, the empirical form) can be thought a priori, while that which constitutes the matter, reality in the [field of] appearance (that which corresponds to sensation), must be given, since otherwise it could not even be thought, nor its possibility represented. Now an object of the senses can be completely determined only when it is compared with all the predicates that are possible in the [field of] appearance, and by means of them is represented either affirmatively or nega- tively. But since that which constitutes the thing itself, namely, the real in the [field of] appearance, must be given -- other- wise the thing could not be conceived at all -- and since that )wherein the real of all appearances is given is experience, considered as single and all-embracing, the material for the possibility of all objects of the senses must be presupposed as given in one whole; and it is upon the limitation of this whole that all possibility of empirical objects, their distinction from each other and their complete determination, can alone be based. No other objects, besides those of the senses, can, as a matter of fact, be given to us, and nowhere save in the con- text of a possible experience; and consequently nothing is an object for us, unless it presupposes the sum of all empirical reality as the condition of its possibility. Now owing to a natural illusion we regard this principle, which applies only to those things which are given as objects of our senses, as being a principle which must be valid of things in general. Accordingly, omitting this limitation, we treat the empirical principle of our concepts of the possibility of things, viewed as appearances, as being a transcendental principle of the pos- sibility of things in general. If we thereupon proceed to hypostatise this idea of the sum of all reality, that is because we substitute dialectically for the distributive unity of the empirical employment of the understanding, the collective unity of experience as a whole; P 495 and then thinking this whole [realm] of appearance as one single thing that contains all empirical reality in itself; and then again, in turn, by means of the above-mentioned tran- scendental subreption, substituting for it the concept of a thing which stands at the source of the possibility of all things, and supplies the real conditions for their complete determination. CHAPTER III Section 3 THE ARGUMENTS OF SPECULATIVE REASON IN PROOF OF THE EXISTENCE OF A SUPREME BEING Notwithstanding this pressing need of reason to presup- pose something that may afford the understanding a sufficient foundation for the complete determination of its concepts, it is yet much too easily conscious of the ideal and merely fic- titious character of such a presupposition to allow itself, on this ground alone, to be persuaded that a mere creature of its own thought is a real being -- were it not that it is impelled from another direction to seek a resting-place in the regress from the conditioned, which is given, to the unconditioned. This unconditioned is not, indeed, given as being in itself real, nor as having a reality that follows from its mere concept; it is, however, what alone can complete the series of conditions when we proceed to trace these conditions to their grounds. This is the course which our human reason, by its very nature, leads all of us, even the least reflective, to adopt, though not everyone continues to pursue it. ++ This ideal of the ens realissimum, although it is indeed a mere representation, is first realised, that is, made into an object, then hypostatised, and finally, by the natural progress of reason towards the completion of unity, is, as we shall presently show, personified. For the regulative unity of experience is not based on the appear- ances themselves (on sensibility alone), but on the connection of the manifold through the understanding (in an apperception); and con- sequently the unity of the supreme reality and the complete deter- minability (possibility) of all things seems to lie in a supreme understanding, and therefore in an intelligence. P 495 It begins not with concepts, but with common experience, and thus bases itself on something P 496 actually existing. But if this ground does not rest upon the immovable rock of the absolutely necessary, it yields be- neath our feet. And this latter support is itself in turn without support, if there be any empty space beyond and under it, and if it does not itself so fill all things as to leave no room for any further question -- unless, that is to say, it be infinite in its reality. If we admit something as existing, no matter what this something may be, we must also admit that there is something which exists necessarily. For the contingent exists only under the condition of some other contingent existence as its cause, and from this again we must infer yet another cause, until we are brought to a cause which is not contingent, and which is therefore unconditionally necessary. This is the argument upon which reason bases its advance to the primordial being. Now reason looks around for a concept that squares with so supreme a mode of existence as that of unconditioned ne- cessity -- not for the purpose of inferring a priori from the con- cept the existence of that for which it stands (for if that were what it claimed to do, it ought to limit its enquiries to mere concepts, and would not then require a given existence as its basis), but solely in order to find among its various concepts that concept which is in no respect incompatible with absolute necessity. For that there must be something that exists with absolute necessity, is regarded as having been established by the first step in the argument. If, then, in removing every- thing which is not compatible with this necessity, only one existence remains, this existence must be the absolutely necessary being, whether or not its necessity be comprehen- sible, that is to say, deducible from its concept alone. Now that which in its concept contains a therefore for every wherefore, that which is in no respect defective, that which is in every way sufficient as a condition, seems to be precisely the being to which absolute necessity can fittingly be ascribed. For while it contains the conditions of all that is possible, it itself does not require and indeed does not allow of any condition, and therefore satisfies, at least in this one feature, the concept of unconditioned necessity. In this respect all other concepts must fall short of it; for since they are deficient and in need of completion, they cannot have as P 497 their characteristic this independence of all further conditions. We are not indeed justified in arguing that what does not con- tain the highest and in all respects complete condition is there- fore itself conditioned in its existence. But we are justified in saying that it does not possess that one feature through which alone reason is in a position, by means of an a priori concept, to know, in regard to any being, that it is unconditioned. The concept of an ens realissimum is therefore, of all con- cepts of possible things, that which best squares with the con- cept of an unconditionally necessary being; and though it may not be completely adequate to it, we have no choice in the matter, but find ourselves constrained to hold to it. For we cannot afford to dispense with the existence of a necessary being; and once its existence is granted, we cannot, in the whole field of possibility, find anything that can make a better grounded claim [than the ens realissimum] to such pre-eminence in the mode of its existence. Such, then, is the natural procedure of human reason. It begins by persuading itself of the existence of some necessary being. This being it apprehends as having an existence that is unconditioned. It then looks around for the concept of that which is independent of any condition, and finds it in that which is itself the sufficient condition of all else, that is, in that which contains all reality. But that which is all-containing and without limits is absolute unity, and involves the concept of a single being that is likewise the supreme being. Accordingly, we conclude that the supreme being, as primordial ground of all things, must exist by absolute necessity. If what we have in view is the coming to a decision -- if, that is to say, the existence of some sort of necessary being is taken as granted, and if it be agreed further that we must come to a decision as to what it is -- then the foregoing way of thinking must be allowed to have a certain cogency. For in that case no better choice can be made, or rather we have no choice at all, but find ourselves compelled to decide in favour of the absolute unity of complete reality, as the ultimate source of possibility. If, however, we are not required to come to any decision, and prefer to leave the issue open until the weight of the evidence is such as to compel assent; if, in other words, what we have to do is merely to estimate how much we really P 498 know in the matter, and how much we merely flatter ourselves that we know, then the foregoing argument is far from ap- pearing in so advantageous a light, and special favour is required to compensate for the defectiveness of its claims. For if we take the issue as being that which is here stated, namely first, that from any given existence (it may be, merely my own existence) we can correctly infer the existence of an unconditionally necessary being; secondly, that we must regard a being which contains all reality, and therefore every condi- tion, as being absolutely unconditioned, and that in this con- cept of an ens realissimum we have therefore found the concept of a thing to which we can also ascribe absolute necessity -- granting all this, it by no means follows that the concept of a limited being which does not have the highest reality is for that reason incompatible with absolute reality. For although I do not find in its concept that unconditioned which is in- volved in the concept of the totality of conditions, we are not justified in concluding that its existence must for this reason be conditioned; just as I cannot say, in the case of a hypo- thetical syllogism, that where a certain condition (in the case under discussion, the condition of completeness in accordance with [pure] concepts) does not hold, the conditioned also does not hold. On the contrary, we are entirely free to hold that any limited beings whatsoever, notwithstanding their being limited, may also be unconditionally necessary, although we cannot infer their necessity from the universal concepts which we have of them. Thus the argument has failed to give us the least concept of the properties of a necessary being, and indeed is utterly ineffective. But this argument continues to have a certain importance and to be endowed with an authority of which we cannot, simply on the ground of this objective insufficiency, at once proceed to divest it. For granting that there are in the idea of reason obligations which are completely valid, but which in their application to ourselves would be lacking in all reality -- that is, obligations to which there would be no motives -- save on the assumption that there exists a supreme being to give effect and confirmation to the practical laws, in such a situa- tion we should be under an obligation to follow those concepts which, though they may not be objectively sufficient, are yet, P 499 according to the standard of our reason, preponderant, and in comparison with which we know of nothing that is better and more convincing. The duty of deciding would thus, by a practi- cal addition, incline the balance so delicately preserved by the indecisiveness of speculation. Reason would indeed stand con- demned in its own judgment -- and there is none more circum- spect -- if, when impelled by such urgent motives, it should fail, however incomplete its insight, to conform its judgment to those pleas which are at least of greater weight than any others known to us. Though this argument, as resting on the inner insuffi- ciency of the contingent, is in actual fact transcendental, it is yet so simple and natural that, immediately it is propounded, it commends itself to the commonest understanding. We see things alter, come into being, and pass away; and these, or at least their state, must therefore have a cause. But the same question can be raised in regard to every cause that can be given in experience. Where, therefore, can we more suitably locate the ultimate causality than where there also exists the highest causality, that is, in that being which contains prim- ordially in itself the sufficient ground of every possible effect, and the concept of which we can also very easily enter- tain by means of the one attribute of an all-embracing per- fection. This supreme cause we then proceed to regard as absolutely necessary, inasmuch as we find it absolutely necessary that we should ascend to it, and find no ground for passing beyond it. And thus, in all peoples, there shine amidst the most benighted polytheism some gleams of monotheism, to which they have been led, not by reflection and profound speculation, but simply by the natural bent of the common understanding, as step by step it has come to apprehend its own requirements. There are only three possible ways of proving the existence of God by means of speculative reason. All the paths leading to this goal begin either from deter- minate experience and the specific constitution of the world of sense as thereby known, and ascend from it, in accordance with laws of causality, to the supreme cause outside the P 500 world; or they start from experience which is purely indeter- minate, that is, from experience of existence in general; or finally they abstract from all experience, and argue completely a priori, from mere concepts, to the existence of a supreme cause. The first proof is the physico-theological, the second the cosmological, the third the ontological. There are, and there can be, no others. I propose to show that reason is as little able to make pro- gress on the one path, the empirical, as on the other path, the transcendental, and that it stretches its wings in vain in thus attempting to soar above the world of sense by the mere power of speculation. As regards the order in which these arguments should be dealt with, it will be exactly the reverse of that which reason takes in the progress of its own development, and therefore of that which we have ourselves followed in the above account. For it will be shown that, although experience is what first gives occasion to this enquiry, it is the transcendental concept which in all such endeavours marks out the goal that reason has set itself to attain, and which is indeed its sole guide in its efforts to achieve that goal. I shall therefore begin with the examination of the transcendental proof, and afterwards enquire what effect the addition of the empirical factor can have in enhancing the force of the argument; CHAPTER III Section 4 THE IMPOSSIBILITY OF AN ONTOLOGICAL PROOF OF THE EXISTENCE OF GOD It is evident, from what has been said, that the concept of an absolutely necessary being is a concept of pure reason, that is, a mere idea the objective reality of which is very far from being proved by the fact that reason requires it. For the idea instructs us only in regard to a certain unattainable complete- ness, and so serves rather to limit the understanding than to extend it to new objects. But we are here faced by what is indeed strange and perplexing, namely, that while the infer- P 501 ence from a given existence in general to some absolutely necessary being seems to be both imperative and legitimate, all those conditions under which alone the understanding can form a concept of such a necessity are so many obstacles in the way of our doing so. In all ages men have spoken of an absolutely necessary being, and in so doing have endeavoured, not so much to understand whether and how a thing of this kind allows even of being thought, but rather to prove its existence. There is, of course, no difficulty in giving a verbal definition of the con- cept, namely, that it is something the non-existence of which is impossible. But this yields no insight into the conditions which make it necessary to regard the non-existence of a thing as absolutely unthinkable. It is precisely these condi- tions that we desire to know, in order that we may determine whether or not, in resorting to this concept, we are thinking anything at all. The expedient of removing all those condi- tions which the understanding indispensably requires in order to regard something as necessary, simply through the intro- duction of the word unconditioned, is very far from sufficing to show whether I am still thinking anything in the concept of the unconditionally necessary, or perhaps rather nothing at all. Nay more, this concept, at first ventured upon blindly, and now become so completely familiar, has been supposed to have its meaning exhibited in a number of examples; and on this account all further enquiry into its intelligibility has seemed to be quite needless. Thus the fact that every geo- metrical proposition, as, for instance, that a triangle has three angles, is absolutely necessary, has been taken as justifying us in speaking of an object which lies entirely outside the sphere of our understanding as if we understood perfectly what it is that we intend to convey by the concept of that object. All the alleged examples are, without exception, taken from judgments, not from things and their existence. But the unconditioned necessity of judgments is not the same as an absolute necessity of things. The absolute necessity of the judgment is only a conditioned necessity of the thing, or of the predicate in the judgment. The above proposition does not P 502 declare that three angles are absolutely necessary, but that, under the condition that there is a triangle (that is, that a tri- angle is given), three angles will necessarily be found in it. So great, indeed, is the deluding influence exercised by this logi- cal necessity that, by the simple device of forming an a priori concept of a thing in such a manner as to include existence within the scope of its meaning, we have supposed ourselves to have justified the conclusion that because existence neces- sarily belongs to the object of this concept -- always under the condition that we posit the thing as given (as existing) -- we are also of necessity, in accordance with the law of identity, re- quired to posit the existence of its object, and that this being is therefore itself absolutely necessary -- and this, to repeat, for the reason that the existence of this being has already been thought in a concept which is assumed arbitrarily and on con- dition that we posit its object. If, in an identical proposition, I reject the predicate while retaining the subject, contradiction results; and I therefore say that the former belongs necessarily to the latter. But if we reject subject and predicate alike, there is no contradiction; for nothing is then left that can be contradicted. To posit a triangle, and yet to reject its three angles, is self-contradictory; but there is no contradiction in rejecting the triangle together with its three angles. The same holds true of the concept of an absolutely necessary being. If its existence is rejected, we re- ject the thing itself with all its predicates; and no question of contradiction can then arise. There is nothing outside it that would then be contradicted, since the necessity of the thing is not supposed to be derived from anything external; nor is there anything internal that would be contradicted, since in rejecting the thing itself we have at the same time rejected all its internal properties. 'God is omnipotent' is a necessary judgment. The omnipotence cannot be rejected if we posit a Deity, that is, an infinite being; for the two concepts are identical. But if we say, 'There is no God', neither the omni- potence nor any other of its predicates is given; they are one and all rejected together with the subject, and there is there- fore not the least contradiction in such a judgment. We have thus seen that if the predicate of a judgment is rejected together with the subject, no internal contradiction P 503 can result and that this holds no matter what the predicate may be. The only way of evading this conclusion is to argue that there are subjects which cannot be removed, and must always remain. That, however, would only be another way of saying that there are absolutely necessary subjects; and that is the very assumption which I have called in question, and the possibility of which the above argument professes to establish. For I cannot form the least concept of a thing which, should it be rejected with all its predicates, leaves behind a contra- diction; and in the absence of contradiction I have, through pure a priori concepts alone, no criterion of impossibility. Notwithstanding all these general considerations, in which every one must concur, we may be challenged with a case which is brought forward as proof that in actual fact the contrary holds, namely, that there is one concept, and indeed only one, in reference to which the not-being or rejection of its object is in itself contradictory, namely, the concept of the ens realissimum. It is declared that it possesses all reality, and that we are justified in assuming that such a being is possible (the fact that a concept does not contradict itself by no means proves the possibility of its object: but the contrary assertion I am for the moment willing to allow). Now [the argument proceeds] 'all reality' includes existence; existence is therefore contained in the concept of a thing that is possible. If, then, this thing is rejected, the internal possibility of the thing is rejected -- which is self-contradictory. My answer is as follows. There is already a contradiction in introducing the concept of existence -- no matter under what title it may be disguised -- into the concept of a thing which we profess to be thinking solely in reference to its possibility. If that be allowed as legitimate, a seeming victory has been won; ++ A concept is always possible if it is not self-contradictory. This is the logical criterion of possibility, and by it the object of the concept is distinguishable from the nihil negativum. But it may none the less be an empty concept, unless the objective reality of the synthesis through which the concept is generated has been specific- ally proved; and such proof, as we have shown above, rests on prin- ciples of possible experience, and not on the principle of analysis (the law of contradiction). This is a warning against arguing directly from the logical possibility of concepts to the real possibility of things. P 504 but in actual fact nothing at all is said: the assertion is a mere tautology. We must ask: Is the proposition that this or that thing (which, whatever it may be, is allowed as possible) exists, an analytic or a synthetic proposition? If it is analytic, the assertion of the existence of the thing adds nothing to the thought of the thing; but in that case either the thought, which is in us, is the thing itself, or we have pre- supposed an existence as belonging to the realm of the possible, and have then, on that pretext, inferred its existence from its internal possibility -- which is nothing but a miserable tauto- logy. The word 'reality', which in the concept of the thing sounds other than the word 'existence' in the concept of the predicate, is of no avail in meeting this objection. For if all positing (no matter what it may be that is posited) is entitled reality, the thing with all its predicates is already posited in the concept of the subject, and is assumed as actual; and in the predicate this is merely repeated. But if, on the other hand, we admit, as every reasonable person must, that all existential propositions are synthetic, how can we profess to maintain that the predicate of existence cannot be rejected without con- tradiction? This is a feature which is found only in analytic propositions, and is indeed precisely what constitutes their analytic character. I should have hoped to put an end to these idle and fruit- less disputations in a direct manner, by an accurate deter- mination of the concept of existence, had I not found that the illusion which is caused by the confusion of a logical with a real predicate (that is, with a predicate which determines a thing) is almost beyond correction. Anything we please can be made to serve as a logical predicate; the subject can even be predicated of itself; for logic abstracts from all content. But a determining predicate is a predicate which is added to the con- cept of the subject and enlarges it. Consequently, it must not be already contained in the concept. 'Being' is obviously not a real predicate; that is, it is not a concept of something which could be added to the concept of a thing. It is merely the positing of a thing, or of certain deter- minations, as existing in themselves. Logically, it is merely the copula of a judgment. The proposition, 'God is omnipotent', P 505 contains two concepts, each of which has its object -- God and omnipotence. The small word 'is' adds no new predicate, but only serves to posit the predicate in its relation to the subject. If, now, we take the subject (God) with all its predicates (among which is omnipotence), and say 'God is', or 'There is a God', we attach no new predicate to the concept of God, but only posit the subject in itself with all its predicates, and indeed posit it as being an object that stands in relation to my concept. The content of both must be one and the same; nothing can have been added to the concept, which expresses merely what is possible, by my thinking its object (through the expression 'it is') as given absolutely. Otherwise stated, the real contains no more than the merely possible. A hundred real thalers do not contain the least coin more than a hundred possible thalers. For as the latter signify the concept, and the former the object and the positing of the object, should the former contain more than the latter, my concept would not, in that case, express the whole object, and would not therefore be an adequate concept of it. My financial position is, however, affected very differently by a hundred real thalers than it is by the mere concept of them (that is, of their possibility). For the object, as it actually exists, is not analytically contained in my concept, but is added to my concept (which is a determination of my state) synthetically; and yet the conceived hundred thalers are not themselves in the least increased through thus acquiring existence outside my concept. By whatever and by however many predicates we may think a thing -- even if we completely determine it -- we do not make the least addition to the thing when we further declare that this thing is. Otherwise, it would not be exactly the same thing that exists, but something more than we had thought in the concept; and we could not, therefore, say that the exact object of my concept exists. If we think in a thing every feature of reality except one, the missing reality is not added by my saying that this defective thing exists. On the contrary, it exists with the same defect with which I have thought it, since otherwise what exists would be something different from what I thought. When, therefore, I think a being as the supreme reality, without any defect, the question still remains whether P 506 it exists or not. For though, in my concept, nothing may be lacking of the possible real content of a thing in general, some- thing is still lacking in its relation to my whole state of thought, namely, [in so far as I am unable to assert] that knowledge of this object is also possible a posteriori. And here we find the source of our present difficulty. Were we dealing with an ob- ject of the senses, we could not confound the existence of the thing with the mere concept of it. For through the concept the object is thought only as conforming to the universal condi- tions of possible empirical knowledge in general, whereas through its existence it is thought as belonging to the context of experience as a whole. In being thus connected with the content of experience as a whole, the concept of the object is not, however, in the least enlarged; all that has happened is that our thought has thereby obtained an additional possible perception. It is not, therefore, surprising that, if we attempt to think existence through the pure category alone, we cannot specify a single mark distinguishing it from mere possibility. Whatever, therefore, and however much, our concept of an object may contain, we must go outside it, if we are to ascribe existence to the object. In the case of objects of the senses, this takes place through their connection with some one of our per- ceptions, in accordance with empirical laws. But in dealing with objects of pure thought, we have no means whatsoever of knowing their existence, since it would have to be known in a completely a priori manner. Our consciousness of all existence (whether immediately through perception, or medi- ately through inferences which connect something with per- ception) belongs exclusively to the unity of experience; any [alleged] existence outside this field, while not indeed such as we can declare to be absolutely impossible, is of the nature of an assumption which we can never be in a position to justify. The concept of a supreme being is in many respects a very useful idea; but just because it is a mere idea, it is altogether incapable, by itself alone, of enlarging our knowledge in re- gard to what exists. It is not even competent to enlighten us as to the possibility of any existence beyond that which is known in and through experience. The analytic criterion of P 507 possibility, as consisting in the principle that bare positives (realities) give rise to no contradiction, cannot be denied to it. But since the realities are not given to us in their specific char- acters; since even if they were, we should still not be in a posi- tion to pass judgment; since the criterion of the possibility of synthetic knowledge is never to be looked for save in ex- perience, to which the object of an idea cannot belong, the connection of all real properties in a thing is a synthesis, the possibility of which we are unable to determine a priori. And thus the celebrated Leibniz is far from having succeeded in what he plumed himself on achieving -- the comprehension a priori of the possibility of this sublime ideal being. The attempt to establish the existence of a supreme being by means of the famous ontological argument of Descartes is therefore merely so much labour and effort lost; we can no more extend our stock of [theoretical] insight by mere ideas, than a merchant can better his position by adding a few noughts to his cash account. CHAPTER III Section 5 THE IMPOSSIBILITY OF A COSMOLOGICAL PROOF OF THE EXISTENCE OF GOD To attempt to extract from a purely arbitrary idea the existence of an object corresponding to it is a quite unnatural procedure and a mere innovation of scholastic subtlety. Such an attempt would never have been made if there had not been antecedently, on the part of our reason,the need to assume as a basis of existence in general something necessary (in which our regress may terminate); and if, since this necessity must be unconditioned and certain a priori, reason had not, in con- sequence, been forced to seek a concept which would satisfy, if possible, such a demand, and enable us to know an existence in a completely a priori manner. Such a concept was supposed to have been found in the idea of an ens realissimum; and that P 508 idea was therefore used only for the more definite knowledge of that necessary being, of the necessary existence of which we were already convinced, or persuaded, on other grounds. This natural procedure of reason was, however, concealed from view, and instead of ending with this concept, the attempt was made to begin with it, and so to deduce from it that necessity of existence which it was only fitted to supplement. Thus arose the unfortunate ontological proof, which yields satisfaction neither to the natural and healthy understanding nor to the more academic demands of strict proof. The cosmological proof, which we are now about to ex- amine, retains the connection of absolute necessity with the highest reality, but instead of reasoning, like the former proof, from the highest reality to necessity of existence, it reasons from the previously given unconditioned necessity of some being to the unlimited reality of that being. It thus enters upon a course of reasoning which, whether rational or only pseudo- rational, is at any rate natural, and the most convincing not only for common sense but even for speculative understand- ing. It also sketches the first outline of all the proofs in natural theology, an outline which has always been and always will be followed, however much embellished and disguised by superfluous additions. This proof, termed by Leibniz the proof a contingentia mundi, we shall now proceed to expound and examine. It runs thus: If anything exists, an absolutely necessary being must also exist. Now I, at least, exist. Therefore an absolutely necessary being exists. The minor premiss contains an experience, the major premiss the inference from there being any experience at all to the existence of the necessary. The proof therefore really begins with experience, and is not wholly a priori or ontological. For this reason, and because the object of all possible experience is called the world, it is en- titled the cosmological proof. ++ This inference is too well known to require detailed state- ment. It depends on the supposedly transcendental law of natural causality: that everything contingent has a cause, which, if itself contingent, must likewise have a cause, till the series of subordinate causes ends with an absolutely necessary cause, without which it would have no completeness. P 508 Since, in dealing with the objects P 509 of experience, the proof abstracts from all special properties through which this world may differ from any other possible world, the title also serves to distinguish it from the physico- theological proof, which is based upon observations of the par- ticular properties of the world disclosed to us by our senses. The proof then proceeds as follows: The necessary being can be determined in one way only, that is, by one out of each possible pair of opposed predicates. It must therefore be com- pletely determined through its own concept. Now there is only one possible concept which determines a thing completely a priori, namely, the concept of the ens realissimum. The concept of the ens realissimum is therefore the only concept through which a necessary being can be thought. In other words, a supreme being necessarily exists. In this cosmological argument there are combined so many pseudo-rational principles that speculative reason seems in this case to have brought to bear all the resources of its dia- lectical skill to produce the greatest possible transcendental illusion. The testing of the argument may meantime be post- poned while we detail in order the various devices whereby an old argument is disguised as a new one, and by which appeal is made to the agreement of two witnesses, the one with credentials of pure reason and the other with those of experi- ence. In reality the only witness is that which speaks in the name of pure reason; in the endeavour to pass as a second witness it merely changes its dress and voice. In order to lay a secure foundation for itself, this proof takes its stand on experience, and thereby makes profession of being distinct from the ontological proof, which puts its entire trust in pure a priori concepts. But the cosmological proof uses this experi- ence only for a single step in the argument, namely, to con- clude the existence of a necessary being. What properties this being may have, the empirical premiss cannot tell us. Reason therefore abandons experience altogether, and endeavours to discover from mere concepts what properties an absolutely necessary being must have, that is, which among all possible things contains in itself the conditions (requisita) essential to absolute necessity. Now these, it is supposed, are nowhere to be found save in the concept of an ens realissimum; and the conclusion is therefore drawn, that the ens realissimum is the P 510 absolutely necessary being. But it is evident that we are here presupposing that the concept of the highest reality is com- pletely adequate to the concept of absolute necessity of existence; that is, that the latter can be inferred from the former. Now this is the proposition maintained by the ontological proof; it is here being assumed in the cosmological proof, and indeed made the basis of the proof; and yet it is an assumption with which this latter proof has professed to dispense. For ab- solute necessity is an existence determined from mere con- cepts. If I say, the concept of the ens realissimum is a con- cept, and indeed the only concept, which is appropriate and adequate to necessary existence, I must also admit that neces- sary existence can be inferred from this concept. Thus the so- called cosmological proof really owes any cogency which it may have to the ontological proof from mere concepts. The appeal to experience is quite superfluous; experience may per- haps lead us to the concept of absolute necessity, but is unable to demonstrate this necessity as belonging to any determinate thing. For immediately we endeavour to do so, we must abandon all experience and search among pure concepts to discover whether any one of them contains the condi- tions of the possibility of an absolutely necessary being. If in this way we can determine the possibility of a necessary being, we likewise establish its existence. For what we are then saying is this: that of all possible beings there is one which carries with it absolute necessity, that is, that this being exists with absolute necessity. Fallacious and misleading arguments are most easily detected if set out in correct syllogistic form. This we now proceed to do in the instance under discussion. If the proposition, that every absolutely necessary being is likewise the most real of all beings, is correct (and this is the nervus probandi of the cosmological proof), it must, like all affirmative judgments, be convertible, at least per accidens. It therefore follows that some entia realissima are likewise absolutely necessary beings. But one ens realissimum is in no respect different from another, and what is true of some under this concept is true also of all. In this case, therefore, I can convert the proposition simpliciter, not only per accidens, and say that every ens realissimum is a necessary being. But P 511 since this proposition is determined from its a priori concepts alone, the mere concept of the ens realissimum must carry with it the absolute necessity of that being; and this is precisely what the ontological proof has asserted and what the cosmo- logical proof has refused to admit, although the conclusions of the latter are indeed covertly based on it. Thus the second path upon which speculative reason enters in its attempt to prove the existence of a supreme being is not only as deceptive as the first, but has this additional defect, that it is guilty of an ignoratio elenchi. It professes to lead us by a new path, but after a short circuit brings us back to the very path which we had deserted at its bidding. I have stated that in this cosmological argument there lies hidden a whole nest of dialectical assumptions, which the transcendental critique can easily detect and destroy. These deceptive principles I shall merely enumerate, leaving to the reader, who by this time will be sufficiently expert in these matters, the task of investigating them further, and of re- futing them. We find, for instance, (1) the transcendental principle whereby from the contingent we infer a cause. This principle is applicable only in the sensible world; outside that world it has no meaning whatsoever. For the mere intellectual concept of the contingent cannot give rise to any synthetic proposition, such as that of causality. The principle of causality has no meaning and no criterion for its application save only in the sensible world. But in the cosmological proof it is precisely in order to enable us to advance beyond the sensible world that it is employed. (2) The inference to a first cause, from the im- possibility of an infinite series of causes, given one after the other, in the sensible world. The principles of the employment of reason do not justify this conclusion even within the world of experience; still less beyond this world in a realm into which this series can never be extended. (3) The unjustified self-satisfaction of reason in respect of the completion of this series. The removal of all the conditions without which no concept of necessity is possible is taken by reason to be a com- pletion of the concept of the series, on the ground that we can then conceive nothing further. (4) The confusion between the P 512 logical possibility of a concept of all reality united into one (without inner contradiction) and the transcendental possi- bility of such a reality. In the case of the latter there is needed a principle to establish the practicability of such a synthesis, a principle which itself, however, can apply only to the field of possible experiences -- etc. The procedure of the cosmological proof is artfully designed to enable us to escape having to prove the existence of a neces- sary being a priori through mere concepts. Such proof would require to be carried out in the ontological manner, and that is an enterprise for which we feel ourselves to be altogether in- competent. Accordingly, we take as the starting-point of our inference an actual existence (an experience in general), and ad- vance, in such manner as we can, to some absolutely necessary condition of this existence. We have then no need to show the possibility of this condition. For if it has been proved to exist, the question as to its possibility is entirely superfluous. If now we want to determine more fully the nature of this necessary being, we do not endeavour to do so in the manner that would be really adequate, namely, by discovering from its concept the necessity of its existence. For could we do that, we should be in no need of an empirical starting-point. No, all we seek is the negative condition (conditio sine qua non), without which a being would not be absolutely necessary. And in all other kinds of reasoning from a given consequence to its ground this would be legitimate; but in the present case it unfortunately happens that the condition which is needed for absolute necessity is only to be found in one single being. This being must therefore contain in its concept all that is required for absolute necessity, and consequently it enables me to infer this absolute necessity a priori. I must therefore be able also to reverse the inference, and to say: Anything to which this concept (of supreme reality) applies is absolutely necessary. If I cannot make this inference (as I must concede, if I am to avoid admitting the ontological proof), I have come to grief in the new way that I have been following, and am back again at my starting-point. The con- cept of the supreme being satisfies all questions a priori which can be raised regarding the inner determinations of a thing, and is therefore an ideal that is quite unique, in that the con- cept, while universal, also at the same time designates an P 513 individual as being among the things that are possible. But it does not give satisfaction concerning the question of its own existence -- though this is the real purpose of our enquiries -- and if anyone admitted the existence of a necessary being but wanted to know which among all [existing] things is to be identified with that being, we could not answer: "This, not that. is the necessary being. " We may indeed be allowed to postulate the existence of an all-sufficient being, as the cause of all possible effects, with a view to lightening the task of reason in its search for the unity of the grounds of explanation. But in presuming so far as to say that such a being necessarily exists, we are no longer giving modest expression to an admissible hypothesis, but are confidently laying claim to apodeictic certainty. For the knowledge of what we profess to know as absolutely necessary must itself carry with it absolute necessity. The whole problem of the transcendental ideal amounts to this: either, given absolute necessity, to find a concept which possesses it, or, given the concept of something, to find that something to be absolutely necessary. If either task be possible, so must the other; for reason recognises that only as absolutely necessary which follows of necessity from its concept. But both tasks are quite beyond our utmost efforts to satisfy our under- standing in this matter; and equally unavailing are all attempts to induce it to acquiesce in its incapacity. Unconditioned necessity, which we so indispensably re- quire as the last bearer of all things, is for human reason the veritable abyss. Eternity itself, in all its terrible sublimity, as depicted by a Haller, is far from making the same overwhelm- ing impression on the mind; for it only measures the duration of things, it does not support them. We cannot put aside, and yet also cannot endure the thought, that a being, which we represent to ourselves as supreme amongst all possible beings, should, as it were, say to itself: 'I am from eternity to eternity, and outside me there is nothing save what is through my will, but whence then am I? ' All support here fails us; and the greatest perfection, no less than the least perfection, is unsub- stantial and baseless for the merely speculative reason, which P 514 makes not the least effort to retain either the one or the other, and feels indeed no loss in allowing them to vanish entirely. Many forces in nature, which manifest their existence through certain effects, remain for us inscrutable; for we cannot track them sufficiently far by observation. Also, the transcend- ental object lying at the basis of appearances (and with it the reason why our sensibility is subject to certain supreme con- ditions rather than to others) is and remains for us inscrutable. The thing itself is indeed given, but we can have no insight into its nature. But it is quite otherwise with an ideal of pure reason; it can never be said to be inscrutable. For since it is not required to give any credentials of its reality save only the need on the part of reason to complete all synthetic unity by means of it; and since, therefore, it is in no wise given as thinkable object, it cannot be inscrutable in the manner in which an object is. On the contrary it must, as a mere idea, find its place and its solution in the nature of reason, and must therefore allow of investigation. For it is of the very essence of reason that we should be able to give an account of all our concepts, opinions, and assertions, either upon objective or, in the case of mere illusion, upon subjective grounds. DISCOVERY AND EXPLANATION of the Dialectical Illusion in all Transcendental Proofs of the Existence of a Necessary Being Both the above proofs were transcendental, that is, were attempted independently of empirical principles. For although the cosmological proof presupposes an experience in general, it is not based on any particular property of this experience but on pure principles of reason, as applied to an existence given through empirical consciousness in general. Further, it soon abandons this guidance and relies on pure concepts alone. What, then, in these transcendental proofs is the cause of the dialectical but natural illusion which connects the concepts of necessity and supreme reality, and which realises and hypos- tatises what can be an idea only? Why are we constrained to assume that some one among existing things is in itself P 515 necessary, and yet at the same time to shrink back from the existence of such a being as from an abyss? And how are we to secure that reason may come to an agreement with itself in this matter, and that from the wavering condition of a diffident approval, ever again withdrawn, it may arrive at settled insight? There is something very strange in the fact, that once we assume something to exist we cannot avoid inferring that something exists necessarily. The cosmological argument rests on this quite natural (although not therefore certain) infer- ence. On the other hand, if I take the concept of anything, no matter what, I find that the existence of this thing can never be represented by me as absolutely necessary, and that, what- ever it may be that exists, nothing prevents me from think- ing its non-existence. Thus while I may indeed be obliged to assume something necessary as a condition of the existent in general, I cannot think any particular thing as in itself neces- sary. In other words, I can never complete the regress to the conditions of existence save by assuming a necessary being and yet am never in a position to begin with such a being. If I am constrained to think something necessary as a condition of existing things, but am unable to think any particular thing as in itself necessary, it inevitably follows that necessity and contingency do not concern the things them- selves; otherwise there would be a contradiction. Conse- quently, neither of these two principles can be objective. They may, however, be regarded as subjective principles of reason. The one calls upon us to seek something necessary as a con- dition of all that is given as existent, that is, to stop nowhere until we have arrived at an explanation which is complete a priori; the other forbids us ever to hope for this completion, that is, forbids us to treat anything empirical as uncondi- tioned and to exempt ourselves thereby from the toil of its further derivation. Viewed in this manner, the two principles, as merely heuristic and regulative, and as concerning only the formal interest of reason, can very well stand side by side. The one prescribes that we are to philosophise about nature as if there were a necessary first ground for all that belongs to existence -- solely, however, for the purpose of bringing sys- tematic unity into our knowledge, by always pursuing such P 516 an idea, as an imagined ultimate ground. The other warns us not to regard any determination whatsoever of existing things as such an ultimate ground, that is, as absolutely necessary, but to keep the way always open for further derivation, and so to treat each and every determination as always condi- tioned by something else. But if everything which is perceived in things must necessarily be treated by us as conditioned, nothing that allows of being empirically given can be re- garded as absolutely necessary. Since, therefore, the absolutely necessary is only intended to serve as a principle for obtaining the greatest possible unity among appearances, as being their ultimate ground; and since -- inasmuch as the second rule commands us al- ways to regard all empirical causes of unity as themselves derived -- we can never reach this unity within the world, it follows that we must regard the absolutely necessary as being outside the world. While the philosophers of antiquity regard all form in nature as contingent, they follow the judgment of the common man in their view of matter as original and necessary. But if, instead of regarding matter relatively, as substratum of ap- pearances, they had considered it in itself, and as regards its existence, the idea of absolute necessity would at once have disappeared. For there is nothing which absolutely binds reason to accept such an existence; on the contrary it can al- ways annihilate it in thought, without contradiction; absolute necessity is a necessity that is to be found in thought alone. This belief must therefore have been due to a certain regu- lative principle. In fact extension and impenetrability (which between them make up the concept of matter) constitute the supreme empirical principle of the unity of appearances; and this principle, so far as it is empirically unconditioned, has the character of a regulative principle. Nevertheless, since every determination of the matter which constitutes what is real in appearances, including impenetrability, is an effect (action) which must have its cause and which is therefore always derivative in character, matter is not compatible with the idea of a necessary being as a principle of all derived unity. (For its real properties, being derivative, are one and all only P 517 conditionally necessary, and so allow of being removed -- wherewith the whole existence of matter would be removed. ) If this were not the case, we should have reached the ulti- mate ground of unity by empirical means -- which is for- bidden by the second regulative principle. It therefore follows that matter, and in general whatever belongs to the world, is not compatible with the idea of a necessary original being, even when the latter is regarded simply as a principle of the greatest empirical unity. That being or principle must be set outside the world, leaving us free to derive the appearances of the world and their existence from other appearances, with unfailing confidence, just as if there were no necessary being, while yet we are also free to strive unceasingly towards the completeness of that derivation, just as if such a being were presupposed as an ultimate ground. As follows from these considerations, the ideal of the supreme being is nothing but a regulative principle of reason, which directs us to look upon all connection in the world as if it originated from an all-sufficient necessary cause. We can base upon the ideal the rule of a systematic and, in accord- ance with universal laws, necessary unity in the explanation of that connection; but the ideal is not an assertion of an existence necessary in itself. At the same time we cannot avoid the transcendental subreption, by which this formal principle is represented as constitutive, and by which this unity is hypos- tatised. We proceed here just as we do in the case of space. Space is only a principle of sensibility, but since it is the primary source and condition of all shapes, which are only so many limitations of itself, it is taken as something absolutely necessary, existing in its own right, and as an object given a - priori in itself. In the same way, since the systematic unity of nature cannot be prescribed as a principle for the empirical employment of our reason, except in so far as we presuppose the idea of an ens realissimum as the supreme cause, it is quite natural that this latter idea should be represented as an actual object, which, in its character of supreme condition, is also necessary -- thus changing a regulative into a constitutive principle. That such a substitution has been made becomes evident, when we consider this supreme being, which relatively P 518 to the world is absolutely (unconditionally) necessary, as a thing in and by itself. For we are then unable to conceive what can be meant by its necessity. The concept of necessity is only to be found in our reason, as a formal condition of thought; it does not allow of being hypostatised as a material condition of existence. CHAPTER III Section 6 THE IMPOSSIBILITY OF THE PHYSICO-THEOLOGICAL PROOF If, then, neither the concept of things in general nor the experience of any existence in general can supply what is re- quired, it remains only to try whether a determinate experience, the experience of the things of the present world, and the con- stitution and order of these, does not provide the basis of a proof which may help us to attain to an assured conviction of a supreme being. Such proof we propose to entitle the physico- theological. Should this attempt also fail, it must follow that no satisfactory proof of the existence of a being corresponding to our transcendental idea can be possible by pure speculative reason. In view of what has already been said, it is evident that we can count upon a quite easy and conclusive answer to this enquiry. For how can any experience ever be adequate to an idea? The peculiar nature of the latter consists just in the fact that no experience can ever be equal to it. The transcendental idea of a necessary and all-sufficient original being is so overwhelmingly great, so high above everything empirical, the latter being always conditioned, that it leaves us at a loss, partly because we can never find in experience material sufficient to satisfy such a concept, and partly because it is always in the sphere of the conditioned that we carry out our search, seeking there ever vainly for the unconditioned -- no law of any empirical synthesis giving us an example of any such unconditioned or providing the least guidance in its pursuit. If the supreme being should itself stand in this chain of P 519 conditions, it would be a member of the series, and like the lower members which it precedes, would call for further en- quiry as to the still higher ground from which it follows. If, on the other hand, we propose to separate it from the chain, and to conceive it as a purely intelligible being, existing apart from the series of natural causes, by what bridge can reason contrive to pass over to it? For all laws governing the transition from effects to causes, all synthesis and extension of our knowledge, refer to nothing but possible experience, and therefore solely to objects of the sensible world, and apart from them can have no meaning whatsoever. This world presents to us so immeasurable a stage of variety, order, purposiveness, and beauty, as displayed alike in its infinite extent and in the unlimited divisibility of its parts, that even with such knowledge as our weak understanding can acquire of it, we are brought face to face with so many marvels immeasurably great, that all speech loses its force, all numbers their power to measure, our thoughts themselves all definiteness, and that our judgment of the whole resolves itself into an amazement which is speechless, and only the more elo- quent on that account. Everywhere we see a chain of effects and causes, of ends and means, a regularity in origination and dissolution. Nothing has of itself come into the condition in which we find it to exist, but always points to something else as its cause, while this in turn commits us to repetition of the same enquiry. The whole universe must thus sink into the abyss of nothingness, unless, over and above this infinite chain of contingencies, we assume something to support it -- something which is original and independently self-subsistent, and which as the cause of the origin of the universe secures also at the same time its continuance. What magnitude are we to ascribe to this supreme cause -- admitting that it is supreme in respect of all things in the world? We are not acquainted with the whole content of the world, still less do we know how to estimate its magnitude by comparison with all that is possible. But since we cannot, as regards causality, dispense with an ultimate and supreme being, what is there to pre- vent us ascribing to it a degree of perfection that sets it above everything else that is possible? This we can easily do -- though P 520 only through the slender outline of an abstract concept -- by representing this being to ourselves as combining in itself all possible perfection, as in a single substance. This concept is in conformity with the demand of our reason for parsimony of principles; it is free from self-contradiction, and is never decisively contradicted by any experience; and it is likewise of such a character that it contributes to the extension of the employment of reason within experience, through the guidance which it yields in the discovery of order and purposiveness. This proof always deserves to be mentioned with respect. It is the oldest, the clearest, and the most accordant with the common reason of mankind. It enlivens the study of nature, just as it itself derives its existence and gains ever new vigour from that source. It suggests ends and purposes, where our observation would not have detected them by itself, and extends our knowledge of nature by means of the guiding-concept of a special unity, the principle of which is outside nature. This knowledge again reacts on its cause, namely, upon the idea which has led to it, and so strengthens the belief in a supreme Author [of nature] that the belief acquires the force of an irre- sistible conviction. It would therefore not only be uncomforting but utterly vain to attempt to diminish in any way the authority of this argument. Reason, constantly upheld by this ever-increasing evidence, which, though empirical, is yet so powerful, can- not be so depressed through doubts suggested by subtle and abstruse speculation, that it is not at once aroused from the indecision of all melancholy reflection, as from a dream, by one glance at the wonders of nature and the majesty of the universe -- ascending from height to height up to the all- highest, from the conditioned to its conditions, up to the supreme and unconditioned Author [of all conditioned being]. But although we have nothing to bring against the ration- ality and utility of this procedure, but have rather to commend and to further it, we still cannot approve the claims, which this mode of argument would fain advance, to apodeictic certainty and to an assent founded on no special favour or support from other quarters. It cannot hurt the good cause, if the dogmatic P 521 language of the overweening sophist be toned down to the more moderate and humble requirements of a belief adequate to quieten our doubts, though not to command unconditional submission. I therefore maintain that the physico-theological proof can never by itself establish the existence of a supreme being, but must always fall back upon the ontological argu- ment to make good its deficiency. It only serves as an intro- duction to the ontological argument; and the latter therefore contains (in so far as a speculative proof is possible at all) the one possible ground of proof with which human reason can never dispense. The chief points of the physico-theological proof are as follows: (1) In the world we everywhere find clear signs of an order in accordance with a determinate purpose, carried out with great wisdom; and this in a universe which is indescrib- ably varied in content and unlimited in extent. (2) This pur- posive order is quite alien to the things of the world, and only belongs to them contingently; that is to say, the diverse things could not of themselves have co-operated, by so great a com- bination of diverse means, to the fulfilment of determinate final purposes, had they not been chosen and designed for these purposes by an ordering rational principle in conformity with underlying ideas. (3) There exists, therefore, a sublime and wise cause (or more than one), which must be the cause of the world not merely as a blindly working all-powerful nature, by fecundity, but as intelligence, through freedom. (4) The unity of this cause may be inferred from the unity of the reciprocal relations existing between the parts of the world, as members of an artfully arranged structure -- inferred with certainty in so far as our observation suffices for its verification and beyond these limits with probability, in accordance with the principles of analogy. We need not here criticise natural reason too strictly in regard to its conclusion from the analogy between certain natural products and what our human art produces when we do violence to nature, and constrain it to proceed not according to its own ends but in conformity with ours -- appealing to the similarity of these particular natural products with houses, ships, watches. Nor need we here question its conclusion that P 522 there lies at the basis of nature a causality similar to that responsible for artificial products, namely, an understand- ing and a will; and that the inner possibility of a self-acting nature (which is what makes all art, and even, it may be, reason itself, possible) is therefore derived from another, though superhuman, art -- a mode of reasoning which could not perhaps withstand a searching transcendental criticism. But at any rate we must admit that, if we are to specify a cause at all, we cannot here proceed more securely than by analogy with those purposive productions of which alone the cause and mode of action are fully known to us. Reason could never be justified in abandoning the causality which it knows for grounds of explanation which are obscure, of which it does not have any knowledge, and which are incapable of proof. On this method of argument, the purposiveness and har- monious adaptation of so much in nature can suffice to prove the contingency of the form merely, not of the matter, that is, not of the substance in the world. To prove the latter we should have to demonstrate that the things in the world would not of themselves be capable of such order and harmony, in accordance with universal laws, if they were not in their substance the product of supreme wisdom. But to prove this we should require quite other grounds of proof than those which are derived from the analogy with human art. The utmost, therefore, that the argument can prove is an architect of the world who is always very much hampered by the adaptability of the material in which he works, not a creator of the world to whose idea everything is subject. This, how- ever, is altogether inadequate to the lofty purpose which we have before our eyes, namely, the proof of an all-sufficient primordial being. To prove the contingency of matter itself, we should have to resort to a transcendental argument, and this is precisely what we have here set out to avoid. The inference, therefore, is that the order and purposive- ness everywhere observable throughout the world may be regarded as a completely contingent arrangement, and that we may argue to the existence of a cause proportioned to it. But the concept of this cause must enable us to know some- P 523 thing quite determinate about it, and can therefore be no other than the concept of a being who possesses all might, wisdom, etc. , in a word, all the perfection which is proper to an all-sufficient being. For the predicates -- 'very great', 'as- tounding', 'immeasurable' in power and excellence -- give no determinate concept at all, and do not really tell us what the thing is in itself. They are only relative representations of the magnitude of the object, which the observer, in contemplat- ing the world, compares with himself and with his capacity of comprehension, and which are equally terms of eulogy whether we be magnifying the object or be depreciating the observing subject in relation to that object. Where we are concerned with the magnitude (of the perfection) of a thing, there is no determinate concept except that which compre- hends all possible perfection; and in that concept only the allness (omnitudo) of the reality is completely determined. Now no one, I trust, will be so bold as to profess that he comprehends the relation of the magnitude of the world as he has observed it (alike as regards both extent and content) to omnipotence, of the world order to supreme wisdom, of the world unity to the absolute unity of its Author, etc. Physico- theology is therefore unable to give any determinate concept of the supreme cause of the world, and cannot therefore serve as the foundation of a theology which is itself in turn to form the basis of religion. To advance to absolute totality by the empirical road is utterly impossible. None the less this is what is attempted in the physico-theological proof. What, then, are the means which have been adopted to bridge this wide abyss? The physico-theological argument can indeed lead us to the point of admiring the greatness, wisdom, power, etc. , of the Author of the world, but can take us no further. Accord- ingly, we then abandon the argument from empirical grounds of proof, and fall back upon the contingency which, in the first steps of the argument, we had inferred from the order and purposiveness of the world. With this contingency as our sole premiss, we then advance, by means of transcendental con- cepts alone, to the existence of an absolutely necessary being, and [as a final step] from the concept of the absolute necessity of the first cause to the completely determinate or determin- P 524 able concept of that necessary being, namely, to the concept of an all-embracing reality. Thus the physico-theological proof, failing in its undertaking, has in face of this difficulty suddenly fallen back upon the cosmological proof; and since the latter is only a disguised ontological proof, it has really achieved its purpose by pure reason alone -- although at the start it disclaimed all kinship with pure reason and professed to establish its conclusions on convincing evidence derived from experience. Those who propound the physico-theological argument have therefore no ground for being so contemptuous in their attitude to the transcendental mode of proof, posing as clear- sighted students of nature, and complacently looking down upon that proof as the artificial product of obscure speculative refinements. For were they willing to scrutinise their own pro- cedure, they would find that, after advancing some considerable way on the solid ground of nature and experience, and finding themselves just as far distant as ever from the object which dis- closes itself to their reason, they suddenly leave this ground, and pass over into the realm of mere possibilities, where they hope upon the wings of ideas to draw near to the object -- the object that has refused itself to all their empirical enquiries. For after this tremendous leap, when they have, as they think, found firm ground, they extend their concept -- the determinate concept, into the possession of which they have now come, they know not how -- over the whole sphere of creation. And the ideal, [which this reasoning thus involves, and] which is entirely a product of pure reason, they then elucidate by reference to experience, though inadequately enough, and in a manner far below the dignity of its object; and throughout they persist in refusing to admit that they have arrived at this knowledge or hypo- thesis by a road quite other than that of experience. Thus the physico-theological proof of the existence of an original or supreme being rests upon the cosmological proof, and the cosmological upon the ontological. And since, besides these three, there is no other path open to speculative reason, the ontological proof from pure concepts of reason is the only possible one, if indeed any proof of a proposition so far exalted above all empirical employment of the understanding is pos- sible at all. P 525 CHAPTER III Section 7 CRITIQUE OF ALL THEOLOGY BASED UPON SPECULATIVE PRINCIPLES OF REASON If I understand by theology knowledge of the original being, it is based either solely upon reason (theologia rationa- lis) or upon revelation (revelata). The former thinks its object either through pure reason, solely by means of transcendental concepts (ens originarium, realissimum, ens entium), in which case it is entitled transcendental theology, or through a con- cept borrowed from nature (from the nature of our soul) -- a concept of the original being as a supreme intelligence -- and it would then have to be called natural theology. Those who accept only a transcendental theology are called deists; those who also admit a natural theology are called theists. The former grant that we can know the existence of an original being solely through reason, but maintain that our concept of it is transcendental only, namely, the concept of a being which possesses all reality, but which we are unable to de- termine in any more specific fashion. The latter assert that reason is capable of determining its object more precisely through analogy with nature, namely, as a being which, through understanding and freedom, contains in itself the ultimate ground of everything else. Thus the deist repre- sents this being merely as a cause of the world (whether by the necessity of its nature or through freedom, remains un- decided), the theist as the Author of the world. Transcendental theology, again, either proposes to deduce the existence of the original being from an experience in general (without determining in any more specific fashion the nature of the world to which the experience belongs), and is then entitled cosmo-theology; or it believes that it can know the existence of such a being through mere concepts, without the help of any experience whatsoever, and is then entitled onto- theology. Natural theology infers the properties and the existence of P 526 an Author of the world from the constitution, the order and unity, exhibited in the world -- a world in which we have to recognise two kinds of causality with their rules, namely, nature and freedom. From this world natural theology ascends to a supreme intelligence, as the principle either of all natural or of all moral order and perfection. In the former case it is entitled physico-theology, in the latter moral theology. Since we are wont to understand by the concept of God not merely an eternal nature that works blindly, as the root-source of all things, but a supreme being who through understanding and freedom is the Author of all things; and since it is in this sense only that the concept interests us, we could, strictly speaking, deny to the deist any belief in God, allowing him only the assertion of an original being or supreme cause. How- ever, since no one ought to be accused of denying what he only does not venture to assert, it is less harsh and more just to say that the deist believes in a God, the theist in a living God (summa intelligentia). We shall now proceed to enquire what are the possible sources of all these endeavours of reason. For the purposes of this enquiry, theoretical knowledge may be defined as knowledge of what is, practical knowledge as the representation of what ought to be. On this definition, the theoretical employment of reason is that by which I know a - priori (as necessary) that something is, and the practical that by which it is known a priori what ought to happen. Now if it is indubitably certain that something is or that something ought to happen, but this certainty is at the same time only conditional, then a certain determinate condition of it can be absolutely necessary, or can be an optional and contingent presupposition. In the former case the condition is postulated (per thesin); in the latter case it is assumed (per hypothesin). ++ Not theological ethics: for this contains moral laws, which pre- suppose the existence of a supreme ruler of the world. Moral theology, on the other hand, is a conviction of the existence of a supreme being -- a conviction which bases itself on moral laws. P 526 Now since there are practical laws which are absolutely neces- sary, that is, moral laws, it must follow that if these neces- sarily presuppose the existence of any being as the condition of P 527 the possibility of their obligatory power, this existence must be postulated; and this for the sufficient reason that the condi- tioned, from which the inference is drawn to this determinate condition, is itself known a priori to be absolutely necessary. At some future time we shall show that the moral laws do not merely presuppose the existence of a supreme being, but also, as themselves in a different connection absolutely neces- sary, justify us in postulating it, though, indeed, only from a practical point of view. For the present, however, we are leaving this mode of argument aside. Where we are dealing merely with what is (not with what ought to be), the conditioned, which is given to us in experi- ence, is always thought as being likewise contingent. That which conditions it is not, therefore, known as absolutely necessary, but serves only as something relatively necessary or rather as needful; in itself and a priori it is an arbitrary presupposition, assumed by us in our attempt to know the conditioned by means of reason. If, therefore in the field of theoretical knowledge, the absolute necessity of a thing were to be known, this could only be from a priori concepts, and never by positing it as a cause relative to an existence given in experience. Theoretical knowledge is speculative if it concerns an ob- ject, or those concepts of an object, which cannot be reached in any experience. It is so named to distinguish it from the knowledge of nature, which concerns only those objects or pre- dicates of objects which can be given in a possible experience. The principle by which, from that which happens (the em- pirically contingent) [viewed] as [an] effect, we infer a cause, is a principle of the knowledge of nature, but not of specula- tive knowledge. For, if we abstract from what it is as a principle that contains the condition of all possible experience, and leav- ing aside all that is empirical attempt to assert it of the con- tingent in general, there remains not the least justification for any synthetic proposition such as might show us how to pass from that which is before us to something quite different (called its cause). In this merely speculative employment any meaning whose objective reality admits of being made intelli- gible in concreto, is taken away not only from the concept of the contingent but from the concept of a cause. P 528 If we infer from the existence of things in the world the existence of their cause, we are employing reason, not in the knowledge of nature, but in speculation. For the former type of knowledge treats as empirically contingent, and refers to a cause, not the things themselves (substances), but only that which happens, that is, their states. That substance (matter) is itself contingent in its existence would have to be known in a purely speculative manner. Again, even if we were speaking only of the form of the world, the way in which things are con- nected and change, and sought to infer from this a cause entirely distinct from the world, this would again be a judg- ment of purely speculative reason, since the object which we are inferring is not an object of a possible experience. So em- ployed, the principle of causality, which is only valid within the field of experience, and outside this field has no applica- tion, nay, is indeed meaningless, would be altogether diverted from its proper use. Now I maintain that all attempts to employ reason in theo- logy in any merely speculative manner are altogether fruit- less and by their very nature null and void, and that the prin- ciples of its employment in the study of nature do not lead to any theology whatsoever. Consequently, the only theology of reason which is possible is that which is based upon moral laws or seeks guidance from them. All synthetic principles of reason allow only of an immanent employment; and in order to have knowledge of a supreme being we should have to put them to a transcendent use, for which our understanding is in no way fitted. If the empirically valid law of causality is to lead to the original being, the latter must belong to the chain of objects of experience, and in that case it would, like all appearances, be itself again conditioned. But even if the leap beyond the limits of experience, by means of the dynamical law of the relation of effects to their causes, be regarded as permissible, what sort of a concept could we obtain by this procedure? It is far from pro- viding the concept of a supreme being, since experience never gives us the greatest of all possible effects, such as would be re- quired to provide the evidence for a cause of that kind. Should we seek to make good this lack of determination in our concept, by means of a mere idea of [a being that possesses] the highest perfection and original necessity, this may indeed be granted P 529 as a favour; it cannot be demanded as a right on the strength of an incontrovertible proof. The physico-theological proof, as combining speculation and intuition, might therefore perhaps give additional weight to other proofs (if such there be); but taken alone, it serves only to prepare the understanding for theological knowledge, and to give it a natural leaning in this direction, not to complete the work in and by itself. All this clearly points to the conclusion that transcendental questions allow only of transcendental answers, that is, an- swers exclusively based on concepts that are a priori, without the least empirical admixture. But the question under con- sideration is obviously synthetic, calling for an extension of our knowledge beyond all limits of experience, namely, to the existence of a being that is to correspond to a mere idea of ours, an idea that cannot be paralleled in any experience. Now as we have already proved, synthetic a priori knowledge is possible only in so far as it expresses the formal conditions of a possible experience; and all principles are therefore only of immanent validity, that is, they are applicable only to ob- jects of empirical knowledge, to appearances. Thus all attempts to construct a theology through purely speculative reason, by means of a transcendental procedure, are without result. But even if anyone prefers to call in question all those proofs which have been given in the Analytic, rather than allow himself to be robbed of his conviction of the conclusive- ness of the arguments upon which he has so long relied, he still cannot refuse to meet my demand that he should at least give a satisfactory account how, and by what kind of inner illumination, he believes himself capable of soaring so far above all possible experience, on the wings of mere ideas. New proofs, or attempts to improve upon the old ones, I would ask to be spared. There is not indeed, in this field, much room for choice, since all merely speculative proofs in the end bring us always back to one and the same proof, namely, the ontological; and I have therefore no real ground to fear the fertile ingenuity of the dogmatic champions of super- sensible reason. I shall not, however, decline the challenge to discover the fallacy in any attempt of this kind, and so to nullify its claims; and this I can indeed do without P 530 considering myself a particularly combative person. But by such means I should never succeed in eradicating the hope of better fortune in those who have once become accustomed to dogmatic modes of persuasion; and I therefore confine myself to the moderate demand, that they give, in terms which are universal and which are based on the nature of the human understanding and of all our other sources of know- ledge, a satisfactory answer to this one question: how we can so much as make a beginning in the proposed task of ex- tending our knowledge entirely a priori, and of carrying it into a realm where no experience is possible to us, and in which there is therefore no means of establishing the object- ive reality of any concept that we have ourselves invented. In whatever manner the understanding may have arrived at a concept, the existence of its object is never, by any process of analysis, discoverable within it; for the knowledge of the existence of the object consists precisely in the fact that the object is posited in itself, beyond the [mere] thought of it. Through concepts alone, it is quite impossible to advance to the discovery of new objects and supernatural beings; and it is useless to appeal to experience, which in all cases yields only appearances. But although reason, in its merely speculative employ- ment, is very far from being equal to so great an undertak- ing, namely, to demonstrate the existence of a supreme being, it is yet of very great utility in correcting any knowledge of this being which may be derived from other sources, in making it consistent with itself and with every point of view from which intelligible objects may be regarded, and in freeing it from everything incompatible with the concept of an original being and from all admixture of empirical limitations. Transcendental theology is still, therefore, in spite of all its disabilities, of great importance in its negative employ- ment, and serves as a permanent censor of our reason, in so far as the latter deals merely with pure ideas which, as such, allow of no criterion that is not transcendental. For if, in some other relation, perhaps on practical grounds, the presupposi- tion of a supreme and all-sufficient being, as highest intelli- P 531 gence, established its validity beyond all question, it would be of the greatest importance accurately to determine this con- cept on its transcendental side, as the concept of a necessary and supremely real being, to free it from whatever, as be- longing to mere appearance (anthropomorphism in its wider sense), is out of keeping with the supreme reality, and at the same time to dispose of all counter-assertions, whether atheistic, deistic, or anthropomorphic. Such critical treatment is, indeed, far from being difficult, inasmuch as the same grounds which have enabled us to demonstrate the inability of human reason to maintain the existence of such a being must also suffice to prove the invalidity of all counter-assertions. For from what source could we, through a purely speculative employment of reason, derive the knowledge that there is no supreme being as ultimate ground of all things, or that it has none of the attributes which, arguing from their consequences, we represent to ourselves as analogical with the dynamical realities of a thinking being, or (as the anthropomorphists contend) that it must be subject to all the limitations which sensibility inevitably imposes on those intelligences which are known to us through experience. Thus, while for the merely speculative employment of reason the supreme being remains a mere ideal, it is yet an ideal without a flaw, a concept which completes and crowns the whole of human knowledge. Its objective reality cannot indeed be proved, but also cannot be disproved, by merely speculative reason. If, then, there should be a moral theology that can make good this deficiency, transcendental theology, which before was problematic only, will prove itself indis- pensable in determining the concept of this supreme being and in constantly testing reason, which is so often deceived by sensibility, and which is frequently out of harmony with its own ideas. Necessity, infinity, unity, existence outside the world (and not as world-soul), eternity as free from conditions of time, omnipresence as free from conditions of space, omni- potence, etc. are purely transcendental predicates, and for this reason the purified concepts of them, which every theology finds so indispensable, are only to be obtained from tran- scendental theology. P 532 APPENDIX TO THE TRANSCENDENTAL DIALECTIC THE REGULATIVE EMPLOYMENT OF THE IDEAS OF PURE REASON The outcome of all dialectical attempts of pure reason does not merely confirm what we have already proved in the Transcendental Analytic, namely, that all those conclusions of ours which profess to lead us beyond the field of possible ex- perience are deceptive and without foundation; it likewise teaches us this further lesson, that human reason has a natural tendency to transgress these limits, and that transcendental ideas are just as natural to it as the categories are to under- standing -- though with this difference, that while the categories lead to truth, that is, to the conformity of our concepts with the object, the ideas produce what, though a mere illusion, is none the less irresistible, and the harmful influence of which we can barely succeed in neutralising even by means of the severest criticism. Everything that has its basis in the nature of our powers must be appropriate to, and consistent with, their right em- ployment -- if only we can guard against a certain misunder- standing and so can discover the proper direction of these powers. We are entitled, therefore, to suppose that tran- scendental ideas have their own good, proper, and therefore immanent use, although, when their meaning is misunder- stood, and they are taken for concepts of real things, they become transcendent in their application and for that very reason can be delusive. For it is not the idea in itself, but its use only, that can be either transcendent or immanent (that is, either range beyond all possible experience or find em- ployment within its limits), according as it is applied to an object which is supposed to correspond to it, or is directed solely to the use of understanding in general, in respect of those objects that fall to be dealt with by the understand- ing. All errors of subreption are to be ascribed to a defect of judgment, never to understanding or to reason. Reason is never in immediate relation to an object, but P 533 only to the understanding; and it is only through the under- standing that it has its own [specific] empirical employment. It does not, therefore, create concepts (of objects) but only orders them, and gives them that unity which they can have only if they be employed in their widest possible application, that is, with a view to obtaining totality in the various series. The understanding does not concern itself with this totality, but only with that connection through which, in accordance with concepts, such series of conditions come into being. Reason has, therefore, as its sole object, the understanding and its effective application. Just as the understanding unifies the manifold in the object by means of concepts, so reason unifies the manifold of concepts by means of ideas, positing a certain collective unity as the goal of the activities of the understanding, which otherwise are concerned solely with distributive unity. I accordingly maintain that transcendental ideas never allow of any constitutive employment. When regarded in that mistaken manner, and therefore as supplying concepts of certain objects, they are but pseudo-rational, merely dia- lectical concepts. On the other hand, they have an excellent, and indeed indispensably necessary, regulative employment, namely, that of directing the understanding towards a certain goal upon which the routes marked out by all its rules con- verge, as upon their point of intersection. This point is indeed a mere idea, a focus imaginarius, from which, since it lies quite outside the bounds of possible experience, the concepts of the understanding do not in reality proceed; none the less it serves to give to these concepts the greatest [possible] unity combined with the greatest [possible] extension. Hence arises the illusion that the lines have their source in a real object lying outside the field of empirically possible knowledge -- just as objects reflected in a mirror are seen as behind it. Never- theless this illusion (which need not, however, be allowed to deceive us) is indispensably necessary if we are to direct the understanding beyond every given experience (as part of the sum of possible experience), and thereby to secure its greatest possible extension, just as, in the case of mirror- vision, the illusion involved is indispensably necessary if, P 534 besides the objects which lie before our eyes, we are also to see those which lie at a distance behind our back. If we consider in its whole range the knowledge obtained for us by the understanding, we find that what is peculiarly distinctive of reason in its attitude to this body of knowledge, is that it prescribes and seeks to achieve its systematisation, that is, to exhibit the connection of its parts in conformity with a single principle. This unity of reason always presup- poses an idea, namely, that of the form of a whole of know- ledge -- a whole which is prior to the determinate knowledge of the parts and which contains the conditions that deter- mine a priori for every part its position and relation to the other parts. This idea accordingly postulates a complete unity in the knowledge obtained by the understanding, by which this knowledge is to be not a mere contingent aggregate, but a system connected according to necessary laws. We may not say that this idea is a concept of the object, but only of the thoroughgoing unity of such concepts, in so far as that unity serves as a rule for the understanding. These concepts of reason are not derived from nature; on the contrary, we in- terrogate nature in accordance with these ideas, and consider our knowledge as defective so long as it is not adequate to them. By general admission, pure earth, pure water, pure air, etc. , are not to be found. We require, however, the concepts of them (though, in so far as their complete purity is concerned, they have their origin solely in reason) in order properly to determine the share which each of these natural causes has in producing appearances. Thus in order to explain the chemical interactions of bodies in accordance with the idea of a mechan- ism, every kind of matter is reduced to earths (qua mere weight), to salts and inflammable substances (qua force), and to water and air as vehicles (machines, as it were, by which the first two produce their effects). The modes of expression usually employed are, indeed, somewhat different; but the influence of reason on the classifications of the natural scientist is still easily detected. If reason is a faculty of deducing the particular from the universal, and if the universal is already certain in itself and given, only judgment is required to execute the process of P 535 subsumption, and the particular is thereby determined in a necessary manner. This I shall entitle the apodeictic use of reason. If, however, the universal is admitted as problem- atic only, and is a mere idea, the particular is certain, but the universality of the rule of which it is a consequence is still a problem. Several particular instances, which are one and all certain, are scrutinised in view of the rule, to see whether they follow from it. If it then appears that all particular instances which can be cited follow from the rule, we argue to its universality, and from this again to all particu- lar instances, even to those which are not themselves given. This I shall entitle the hypothetical employment of reason. The hypothetical employment of reason, based upon ideas viewed as problematic concepts, is not, properly speaking, constitutive, that is, it is not of such a character that, judging in all strictness, we can regard it as proving the truth of the universal rule which we have adopted as hypothesis. For how are we to know all the possible consequences which, as actually following from the adopted principle, prove its universality? The hypothetical employment of reason is regulative only; its sole aim is, so far as may be possible, to bring unity into the body of our detailed knowledge, and thereby to approximate the rule to universality. The hypothetical employment of reason has, therefore, as its aim the systematic unity of the knowledge of understand- ing, and this unity is the criterion of the truth of its rules. The systematic unity (as a mere idea) is, however, only a projected unity, to be regarded not as given in itself, but as a problem only. This unity aids us in discovering a principle for the understanding in its manifold and special modes of employ- ment, directing its attention to cases which are not given, and thus rendering it more coherent. But the only conclusion which we are justified in drawing from these considerations is that the systematic unity of the manifold knowledge of understanding, as prescribed by reason, is a logical principle. Its function is to assist the understanding by means of ideas, in those cases in which the understanding cannot by itself establish rules, and at the same time to give P 536 to the numerous and diverse rules of the understanding unity or system under a single principle, and thus to secure co- herence in every possible way. But to say that the constitu- tion of the objects or the nature of the understanding which knows them as such, is in itself determined to systematic unity, and that we can in a certain measure postulate this unity a priori, without reference to any such special interest of reason, and that we are therefore in a position to maintain that knowledge of the understanding in all its possible modes (including empirical knowledge) has the unity required by reason, and stands under common principles from which all its various modes can, in spite of their diversity, be deduced -- that would be to assert a transcendental principle of reason, and would make the systematic unity necessary, not only subjectively and logically, as method, but objectively also. We may illustrate this by an instance of the employment of reason. Among the various kinds of unity which conform to the concepts of the understanding, is that of the causality of a substance, which is called power. The various appear- ances of one and the same substance show at first sight so great a diversity, that at the start we have to assume just as many different powers as there are different effects. For in- stance in the human mind we have sensation, conscious- ness, imagination, memory, wit, power of discrimination, pleasure, desire, etc. Now there is a logical maxim which requires that we should reduce, so far as may be possible, this seeming diversity, by comparing these with one another and detecting their hidden identity. We have to enquire whether imagination combined with consciousness may not be the same thing as memory, wit, power of discrimination, and perhaps even identical with understanding and reason. Though logic is not capable of deciding whether a fundamental power actually exists, the idea of such a power is the problem in- volved in a systematic representation of the multiplicity of powers. The logical principle of reason calls upon us to bring about such unity as completely as possible; and the more the appearances of this and that power are found to be identical with one another, the more probable it becomes that they are simply different manifestations of one and the same power, P 537 which may be entitled, relatively to the more specific powers, the fundamental power. The same is done with the other powers. The relatively fundamental powers must in turn be com- pared with one another, with a view to discovering their har- mony, and so to bring them nearer to a single radical, that is, absolutely fundamental, power. But this unity of reason is purely hypothetical. We do not assert that such a power must necessarily be met with, but that we must seek it in the interests of reason, that is, of establishing certain principles for the manifold rules which experience may supply to us. We must endeavour, wherever possible, to bring in this way systematic unity into our knowledge. On passing, however, to the transcendental employment of understanding, we find that this idea of a fundamental power is not treated merely as a problem for the hypothetical use of reason, but claims to have objective reality, as postulat- ing the systematic unity of the various powers of a substance, and as giving expression to an apodeictic principle of reason. For without having made any attempt to show the harmony of these various powers, nay, even after all attempts to do so have failed, we yet presuppose that such a unity does actually exist, and this not only, as in the case cited, on account of the unity of the substance, but also in those cases in which, as with matter in general, we encounter powers which, though to a certain extent homogeneous, are likewise diverse. In all such cases reason presupposes the systematic unity of the various powers, on the ground that special natural laws fall under more general laws, and that parsimony in principles is not only an economical requirement of reason, but is one of nature's own laws. It is, indeed, difficult to understand how there can be a logical principle by which reason prescribes the unity of rules, unless we also presuppose a transcendental principle whereby such a systematic unity is a priori assumed to be necessarily inherent in the objects. For with what right can reason, in its logical employment, call upon us to treat the multiplicity of powers exhibited in nature as simply a disguised unity and to derive this unity, so far as may be possible, from a funda- mental power -- how can reason do this, if it be free to admit P 538 as likewise possible that all powers may be heterogeneous, and that such systematic unity of derivation may not be in con- formity with nature? Reason would then run counter to its own vocation, proposing as its aim an idea quite inconsistent with the constitution of nature. Nor can we say that reason, while proceeding in accordance with its own principles, has arrived at knowledge of this unity through observation of the accidental constitution of nature. The law of reason which requires us to seek for this unity, is a necessary law, since without it we should have no reason at all, and without reason no coherent em- ployment of the understanding, and in the absence of this no sufficient criterion of empirical truth. In order, therefore, to secure an empirical criterion we have no option save to pre- suppose the systematic unity of nature as objectively valid and necessary. Although philosophers have not always acknowledged this transcendental principle, even to themselves, or indeed been conscious of employing it, we none the less find it covertly im- plied, in remarkable fashion, in the principles upon which they proceed. That the manifold respects in which individual things differ do not exclude identity of species, that the various species must be regarded merely as different determinations of a few genera, and these, in turn, of still higher genera, and so on; in short, that we must seek for a certain systematic unity of all possible empirical concepts, in so far as they can be deduced from higher and more general concepts -- this is a logical principle, a rule of the Schools, without which there could be no employment of reason. For we can conclude from the universal to the particular, only in so far as universal pro- perties are ascribed to things as being the foundation upon which the particular properties rest. That such unity is to be found in nature, is presupposed by philosophers in the well-known scholastic maxim, that rudi- ments or principles must not be unnecessarily multiplied (entia praeter necessitatem non esse multiplicanda). This maxim de- clares that things by their very nature supply material for the unity of reason, and that the seemingly infinite variety need not hinder us from assuming that behind this variety there is a unity of fundamental properties -- properties from which the P 539 diversity can be derived through repeated determination. This unity, although it is a mere idea, has been at all times so eagerly sought, that there has been need to moderate the desire for it, not to encourage it. A great advance was made when chemists succeeded in reducing all salts to two main genera, acids and alkalies; and they endeavour to show that even this difference is merely a variety, or diverse manifestation, of one and the same fundamental material. Chemists have sought, step by step, to reduce the different kinds of earths (the material of stones and even of metals) to three, and at last to two; but, not content with this, they are unable to banish the thought that behind these varieties there is but one genus, nay, that there may even be a common principle for the earths and the salts. It might be supposed that this is merely an economical con- trivance whereby reason seeks to save itself all possible trouble, a hypothetical attempt, which, if it succeeds, will, through the unity thus attained, impart probability to the presumed prin- ciple of explanation. But such a selfish purpose can very easily be distinguished from the idea. For in conformity with the idea everyone presupposes that this unity of reason accords with nature itself, and that reason -- although indeed unable to determine the limits of this unity -- does not here beg but command. If among the appearances which present themselves to us, there were so great a variety -- I do not say in form, for in that respect the appearances might resemble one another; but in content, that is, in the manifoldness of the existing entities -- that even the acutest human understanding could never by comparison of them detect the slightest similarity (a possi- bility which is quite conceivable), the logical law of genera would have no sort of standing; we should not even have the concept of a genus, or indeed any other universal concept; and the understanding itself, which has to do solely with such con- cepts, would be non-existent. If, therefore, the logical prin- ciple of genera is to be applied to nature (by which I here under- stand those objects only which are given to us), it presupposes a transcendental principle. And in accordance with this latter principle, homogeneity is necessarily presupposed in the mani- fold of possible experience (although we are not in a position to determine in a priori fashion its degree); for in the absence P 540 of homogeneity, no empirical concepts, and therefore no ex- perience, would be possible. The logical principle of genera, which postulates identity, is balanced by another principle, namely, that of species, which calls for manifoldness and diversity in things, notwith- standing their agreement as coming under the same genus, and which prescribes to the understanding that it attend to the diversity no less than to the identity. This principle (of discrimi- native observation, that is, of the faculty of distinction) sets a limit to possible indiscretion in the former principle (of the faculty of wit); and reason thus exhibits a twofold, self-con- flicting interest, on the one hand interest in extent (universal- ity) in respect of genera, and on the other hand in content (de- terminateness) in respect of the multiplicity of the species. In the one case the understanding thinks more under its concepts, in the other more in them. This twofold interest manifests it- self also among students of nature in the diversity of their ways of thinking. Those who are more especially speculative are, we may almost say, hostile to heterogeneity, and are always on the watch for the unity of the genus; those, on the other hand, who are more especially empirical, are constantly endeavour- ing to differentiate nature in such manifold fashion as almost to extinguish the hope of ever being able to determine its ap- pearances in accordance with universal principles. This latter mode of thought is evidently based upon a logi- cal principle which aims at the systematic completeness of all knowledge -- prescribing that, in beginning with the genus, we descend to the manifold which may be contained thereunder, in such fashion as to secure extension for the system, just as in the alternative procedure, that of ascending to the genus, we endeavour to secure the unity of the system. For if we limit our attention to the sphere of the concept which marks out a genus, we can no more determine how far it is possible to pro- ceed in the [logical] division of it, than we can judge merely from the space which a body occupies how far it is possible to proceed in the [physical] division of its parts. Consequently, P 541 every genus requires diversity of species, and these in turn diversity of subspecies; and since no one of these subspecies is ever itself without a sphere (extent as conceptus communis), reason, in being carried to completion, demands that no species be regarded as being in itself the lowest. For since the species is always a concept, containing only what is common to different things, it is not completely determined. It cannot, therefore, be directly related to an individual, and other con- cepts, that is, subspecies, must always be contained under it. This law of specification can be formulated as being the prin- ciple: entium varietates non temere esse minuendas. But it is easily seen that this logical law would be without meaning and application if it did not rest upon a transcendental law of specification, which does not indeed demand an actual infinity of differences in the things which can be objects to us -- the logical principle, as affirming only the indeterminateness of the logical sphere in respect of possible division, gives no occasion for any such assertion -- but which none the less im- poses upon the understanding the obligation of seeking under every discoverable species for subspecies, and under every dif- ference for yet smaller differences. For if there were no lower concepts, there could not be higher concepts. Now the under- standing can have knowledge only through concepts, and therefore, however far it carries the process of division, never through mere intuition, but always again through lower concepts. The knowledge of appearances in their complete determination, which is possible only through the under- standing, demands an endless progress in the specification of our concepts, and an advance to yet other remaining differ- ences, from which we have made abstraction in the concept of the species, and still more so in that of the genus. This law of specification cannot be derived from experi- ence, which can never open to our view any such extensive prospects. Empirical specification soon comes to a stop in the distinction of the manifold, if it be not guided by the ante- cedent transcendental law of specification, which, as a prin- ciple of reason, leads us to seek always for further differences, and to suspect their existence even when the senses are unable to disclose them. That absorbent earths are of different kinds (chalk and muriatic earths), is a discovery that was possible P 542 only under the guidance of an antecedent rule of reason -- reason proceeding on the assumption that nature is so richly diversi- fied that we may presume the presence of such differences, and therefore prescribing to the understanding the task of searching for them. Indeed it is only on the assumption of differences in nature, just as it is also only under the condition that its objects exhibit homogeneity, that we can have any faculty of understanding whatsoever. For the diversity of that which is comprehended under a concept is precisely what gives occasion for the employment of the concept and the exercise of the understanding. Reason thus prepares the field for the understanding: (1) through a principle of the homogeneity of the manifold under higher genera; (2) through a principle of the variety of the homogeneous under lower species; and (3) in order to complete the systematic unity, a further law, that of the affinity of all concepts -- a law which prescribes that we proceed from each species to every other by gradual increase of the diversity. These we may entitle the principles of homogeneity, specifica- tion, and continuity of forms. The last named arises from union of the other two, inasmuch as only through the pro- cesses of ascending to the higher genera and of descending to the lower species do we obtain the idea of systematic connec- tion in its completeness. For all the manifold differences are then related to one another, inasmuch as they one and all spring from one highest genus, through all degrees of a more and more widely extended determination. The systematic unity, prescribed by the three logical principles, can be illustrated in the following manner. Every concept may be regarded as a point which, as the station for an observer, has its own horizon, that is, a variety of things which can be represented, and, as it were, surveyed from that standpoint. This horizon must be capable of containing an infinite number of points, each of which has its own narrower horizon; that is, every species contains subspecies, according to the principle of specification, and the logical horizon con- sists exclusively of smaller horizons (subspecies), never of points which possess no extent (individuals). But for different horizons, that is, genera, each of which is determined by its own concept, there can be a common horizon, in reference to P 543 which, as from a common centre, they can all be surveyed; and from this higher genus we can proceed until we arrive at the highest of all genera, and so at the universal and true horizon, which is determined from the standpoint of the highest con- cept, and which comprehends under itself all manifoldness -- genera, species, and subspecies. We are carried to this highest standpoint by the law of homogeneity, and to all lower standpoints, and their greatest possible variety, by the law of specification. And since there is thus no void in the whole sphere of all possible concepts, and since nothing can be met with outside this sphere, there arises from the presupposition of this universal horizon and of its complete division, the principle: non datur vacuum formarum, that is, that there are not different, original, first genera, which are isolated from one another, separated, as it were, by an empty intervening space; but that all the manifold genera are simply divisions of one single highest and universal genus. From this principle there follows, as its immediate con- sequence: datur continuum formarum, that is, that all differ- ences of species border upon one another, admitting of no transition from one to another per saltum, but only through all the smaller degrees of difference that mediate between them. In short, there are no species or subspecies which (in the view of reason) are the nearest possible to each other; still other intermediate species are always possible, the difference of which from each of the former is always smaller than the difference between these. The first law thus keeps us from resting satisfied with an excessive number of different original genera, and bids us pay due regard to homogeneity; the second, in turn, imposes a check upon this tendency towards unity, and insists that be- fore we proceed to apply a universal concept to individuals we distinguish subspecies within it. The third law combines these two laws by prescribing that even amidst the utmost mani- foldness we observe homogeneity in the gradual transition from one species to another, and thus recognise a relationship of the different branches, as all springing from the same stem. This logical law of the continuum specierum (formarum logicarum) presupposes, however, a transcendental law (lex P 544 continui in natura), without which the former law would only lead the understanding astray, causing it to follow a path which is perhaps quite contrary to that prescribed by nature itself. This law must therefore rest upon pure transcendental, not on empirical, grounds. For if it rested on empirical grounds, it would come later than the systems, whereas in actual fact it has itself given rise to all that is systematic in our knowledge of nature. The formulation of these laws is not due to any secret design of making an experiment, by putting them forward as merely tentative suggestions. Such anticipations, when confirmed, yield strong evidence in sup- port of the view that the hypothetically conceived unity is well-grounded; and such evidence has therefore in this re- spect a certain utility. But it is evident that the laws contem- plate the parsimony of fundamental causes, the manifoldness of effects, and the consequent affinity of the parts of nature as being in themselves in accordance both with reason and with nature. Hence these principles carry their recommend- ation directly in themselves, and not merely as methodo- logical devices. But it is easily seen that this continuity of forms is a mere idea, to which no congruent object can be discovered in ex- perience. For in the first place, the species in nature are actually divided, and must therefore constitute a quantum discretum. Were the advance in the tracing of their affinity continuous, there would be a true infinity of intermediate members be- tween any two given species, which is impossible. And further, in the second place, we could not make any determinate em- pirical use of this law, since it instructs us only in quite general terms that we are to seek for grades of affinity, and yields no criterion whatsoever as to how far, and in what manner, we are to prosecute the search for them. If we place these principles of systematic unity in the order appropriate to their empirical employment, they will stand thus: manifoldness, affinity, unity, each being taken, as an idea, in the highest degree of its completeness. Reason pre- supposes the knowledge which is obtained by the understand- ing and which stands in immediate relation to experience, and P 545 seeks for the unity of this knowledge in accordance with ideas which go far beyond all possible experience. The affinity of the manifold (as, notwithstanding its diversity, coming under a principle of unity) refers indeed to things, but still more to their properties and powers. Thus, for instance, if at first our im- perfect experience leads us to regard the orbits of the planets as circular, and if we subsequently detect deviations therefrom, we trace the deviations to that which can change the circle, in accordance with a fixed law, through all the infinite inter- mediate degrees, into one of these divergent orbits. That is to say, we assume that the movements of the planets which are not circular will more or less approximate to the properties of a circle; and thus we come upon the idea of an ellipse. Since the comets do not, so far as observation reaches, return in any such courses, their paths exhibit still greater deviations. What we then do is to suppose that they proceed in a parabolic course, which is akin to the ellipse, and which in all our observation is indistinguishable from an ellipse that has its major axis in- definitely extended. Thus, under the guidance of these prin- ciples, we discover a unity in the generic forms of the orbits, and thereby a unity in the cause of all the laws of planetary motion, namely, gravitation. And we then extend our con- quests still further, endeavouring to explain by the same prin- ciple all variations and seeming departures from these rules; finally, we even go on to make additions such as experience can never confirm, namely, to conceive, in accordance with the rules of affinity, hyperbolic paths of comets, in the course of which these bodies entirely leave our solar system, and passing from sun to sun, unite the most distant parts of the universe -- a universe which, though for us unlimited, is throughout held together by one and the same moving force. The remarkable feature of these principles, and what in them alone concerns us, is that they seem to be transcendental, and that although they contain mere ideas for the guidance of the empirical employment of reason -- ideas which reason follows only as it were asymptotically, i.e. ever more closely without ever reaching them -- they yet possess, as synthetic a priori propositions, objective but indeterminate validity, and serve as rules for possible experience. They can also be em- ployed with great advantage in the elaboration of experience, P 546 as heuristic principles. A transcendental deduction of them cannot, however, be effected; in the case of ideas, as we have shown above, such a deduction is never possible. In the Transcendental Analytic we have distinguished the dynamical principles of the understanding, as merely regula- tive principles of intuition, from the mathematical, which, as regards intuition, are constitutive. None the less these dyna- mical laws are constitutive in respect of experience, since they render the concepts, without which there can be no experi- ence, possible a priori. But principles of pure reason can never be constitutive in respect of empirical concepts; for since no schema of sensibility corresponding to them can ever be given, they can never have an object in concreto. If, then, we disallow such empirical employment of them, as constitutive principles, how are we to secure for them a regulative em- ployment, and therewith some sort of objective validity, and what can we mean by such regulative employment? The understanding is an object for reason, just as sensi- bility is for the understanding. It is the business of reason to render the unity of all possible empirical acts of the under- standing systematic; just as it is of the understanding to con- nect the manifold of the appearances by means of concepts, and to bring it under empirical laws. But the acts of the under- standing are, without the schemata of sensibility, undeter- mined; just as the unity of reason is in itself undetermined, as regards the conditions under which, and the extent to which, the understanding ought to combine its concepts in systematic fashion. But although we are unable to find in intuition a schema for the complete systematic unity of all concepts of the understanding, an analogon of such a schema must necessarily allow of being given. This analogon is the idea of the maxi- mum in the division and unification of the knowledge of the understanding under one principle. For what is greatest and absolutely complete can be determinately thought, all re- stricting conditions, which give rise to an indeterminate manifoldness, being left aside. Thus the idea of reason is an analogon of a schema of sensibility; but with this differ- ence, that the application of the concepts of the understanding to the schema of reason does not yield knowledge of the object itself (as is the case in the application of categories to their P 547 sensible schemata) but only a rule or principle for the system- atic unity of all employment of the understanding. Now since every principle which prescribes a priori to the under- standing thoroughgoing unity in its employment, also holds, although only indirectly, of the object of experience, the principles of pure reason must also have objective reality in respect of that object, not, however, in order to determine anything in it, but only in order to indicate the procedure whereby the empirical and determinate employment of the understanding can be brought into complete harmony with itself. This is acheived by bringing its employment, so far as may be possible, into connection with the principle of thorough- going unity, and by determining its procedure in the light of this principle. I entitle all subjective principles which are derived, not from the constitution of an object but from the interest of reason in respect of a certain possible perfection of the knowledge of the object, maxims of reason. There are there- fore maxims of speculative reason, which rest entirely on its speculative interest, although they may seem to be objective principles. When merely regulative principles are treated as constitu- tive, and are therefore employed as objective principles, they may come into conflict with one another. But when they are treated merely as maxims, there is no real conflict, but merely those differences in the interest of reason that give rise to differing modes of thought. In actual fact, reason has only one single interest, and the conflict of its maxims is only a difference in, and a mutual limitation of, the methods where- by this interest endeavours to obtain satisfaction. Thus one thinker may be more particularly interested in manifoldness (in accordance with the principle of specifica- tion), another thinker in unity (in accordance with the prin- ciple of aggregation). Each believes that his judgment has been arrived at through insight into the object, whereas it really rests entirely on the greater or lesser attachment to one of the two principles. And since neither of these principles is based on objective grounds, but solely on the interest of reason, the P 548 title 'principles' is not strictly applicable; they may more fit- tingly be entitled 'maxims'. When we observe intelligent people disputing in regard to the characteristic properties of men, animals, or plants -- even of bodies in the mineral realm -- some assuming, for instance, that there are certain special heredit- ary characteristics in each nation, certain well-defined inherited differences in families, races, etc. , whereas others are bent upon maintaining that in all such cases nature has made precisely the same provision for all, and that it is solely to external accidental conditions that the differences are due, we have only to consider what sort of an object it is about which they are making these assertions, to realise that it lies too deeply hidden to allow of their speaking from insight into its nature. The dispute is due simply to the twofold interest of reason, the one party setting its heart upon, or at least adopting, the one interest, and the other party the other. The differences between the maxims of manifoldness and of unity in nature thus easily allow of reconciliation. So long, however, as the maxims are taken as yielding objective insight, and until a way has been discovered of adjusting their conflicting claims, and of satisfying reason in that regard, they will not only give rise to disputes but will be a positive hindrance, and cause long delays in the discovery of truth. Similar observations are relevant in regard to the assertion or denial of the widely discussed law of the continuous grada- tion of created beings, which was propounded by Leibniz, and admirably supported by Bonnet. It is simply the following out of that principle of affinity which rests on the interest of reason. For observation and insight into the constitution of nature could never justify us in the objective assertion of the law. The steps of this ladder, as they are presented to us in experience, stand much too far apart; and what may seem to us small differences are usually in nature itself such wide gaps, that from any such observations we can come to no decision in regard to nature's ultimate design -- especially if we bear in mind that in so great a multiplicity of things there can never be much difficulty in finding similarities and approximations. On the other hand, the method of looking for order in nature P 549 in accordance with such a principle, and the maxim which prescribes that we regard such order -- leaving, however, un- determined where and how far -- as grounded in nature as such, is certainly a legitimate and excellent regulative prin- ciple of reason. In this regulative capacity it goes far beyond what experience or observation can verify; and though not itself determining anything, yet serves to mark out the path towards systematic unity. THE FINAL PURPOSE OF THE NATURAL DIALECTIC OF HUMAN REASON The ideas of pure reason can never be dialectical in them- selves; any deceptive illusion to which they give occasion must be due solely to their misemployment. For they arise from the very nature of our reason; and it is impossible that this highest tribunal of all the rights and claims of speculation should itself be the source of deceptions and illusions. Pre- sumably, therefore, the ideas have their own good and ap- propriate vocation as determined by the natural disposition of our reason. The mob of sophists, however, raise against reason the usual cry of absurdities and contradictions, and though unable to penetrate to its innermost designs, they none the less inveigh against its prescriptions. Yet it is to the beneficent in- fluences exercised by reason that they owe the possibility of their own self-assertiveness, and indeed that very culture which enables them to blame and to condemn what reason requires of them. We cannot employ an a priori concept with any certainty without having first given a transcendental deduction of it. The ideas of pure reason do not, indeed, admit of the kind of deduction that is possible in the case of the categories. But if they are to have the least objective validity, no matter how indeterminate that validity may be, and are not to be mere empty thought-entities (entia rationis ratiocinantis), a deduc- tion of them must be possible, however greatly (as we admit) it may differ from that which we have been able to give of the categories. This will complete the critical work of pure reason, and is what we now propose to undertake. P 550 There is a great difference between something being given to my reason as an object absolutely, or merely as an object in the idea. In the former case our concepts are employed to deter- mine the object; in the latter case there is in fact only a schema which no object, not even a hypothetical one, is directly given, and which only enables us to represent to ourselves other objects in an indirect manner, namely in their systematic unity, by means of their relation to this idea. Thus I say that the concept of a highest intelligence is a mere idea, that is to say, its objective reality is not to be taken as consisting in its referring directly to an object (for in that sense we should not be able to justify its objective validity). It is only a schema constructed in accordance with the conditions of the greatest possible unity of reason -- the schema of the concept of a thing in general, which serves only to secure the greatest possible sys- tematic unity in the empirical employment of our reason. We then, as it were, derive the object of experience from the sup- posed object of this idea, viewed as the ground or cause of the object of experience. We declare, for instance, that the things of the world must be viewed as if they received their existence from a highest intelligence. The idea is thus really only a heur- istic, not an ostensive concept. It does not show us how an object is constituted, but how, under its guidance, we should seek to determine the constitution and connection of the objects of experience. If, then, it can be shown that the three transcen- dental ideas (the psychological, the cosmological, and the theo- logical), although they do not directly relate to, or determine, any object corresponding to them, none the less, as rules of the empirical employment of reason, lead us to systematic unity, under the presupposition of such an object in the idea; and that they thus contribute to the extension of empirical know- ledge, without ever being in a position to run counter to it, we may conclude that it is a necessary maxim of reason to proceed always in accordance with such ideas. This, indeed, is the transcendental deduction of all ideas of speculative reason, not as constitutive principles for the extension of our knowledge to more objects than experience can give, but as regulative principles of the systematic unity of the manifold of empirical knowledge in general, whereby this empirical P 551 knowledge is more adequately secured within its own Limits and more effectively improved than would be possible, in the absence of such ideas, through the employment merely of the principles of the understanding. I shall endeavour to make this clearer. In conformity with these ideas as principles we shall, first, in psychology, under the guidance of inner experience, connect all the appearances, all the actions and receptivity of our mind, as if the mind were a simple substance which persists with personal identity (in this life at least), while its states, to which those of the body belong only as outer conditions, are in continual change. Secondly, in cosmology, we must follow up the conditions of both inner and outer natural appearances, in an enquiry which is to be regarded as never allowing of completion, just as if the series of appearances were in itself endless, without any first or supreme member. We need not, in so doing, deny that, outside all appearances, there are purely intelligible grounds of the appearances; but as we have no knowledge of these whatsoever, we must never attempt to make use of them in our explanations of nature. Thirdly, and finally, in the domain of theology, we must view everything that can belong to the context of possible experience as if this experience formed an absolute but at the same time completely dependent and sensibly conditioned unity, and yet also at the same time as if the sum of all appearances (the sensible world itself) had a single, highest and all-sufficient ground beyond itself, namely, a self-subsistent, original, creative reason. For it is in the light of this idea of a creative reason that we so guide the empirical employment of our reason as to secure its greatest possible extension -- that is, by viewing all objects as if they drew their origin from such an archetype. In other words, we ought not to derive the inner appearances of the soul from a simple thinking substance but from one another, in accordance with the idea of a simple being; we ought not to derive the order and systematic unity of the world from a supreme intelligence, but to obtain from the idea of a supremely wise cause the rule according to which reason in connecting empirical causes and effects in the world may be employed to best advantage, and in such manner as to secure satisfaction of its own demands. Now there is nothing whatsoever to hinder us from as- P 552 suming these ideas to be also objective, that is, from hyposta- tising them -- except in the case of the cosmological ideas, where reason, in so proceeding, falls into antinomy. The psychological and theological ideas contain no antinomy, and involve no contradiction. How, then, can anyone dispute their [possible] objective reality? He who denies their possi- bility must do so with just as little knowledge [of this possi- bility] as we can have in affirming it. It is not, however, a sufficient ground for assuming anything, that there is no positive hindrance to our so doing; we are not justified in introducing thought-entities which transcend all our con- cepts, though without contradicting them, as being real and determinate objects, merely on the authority of a speculative reason that is bent upon completing the tasks which it has set itself. They ought not to be assumed as existing in themselves, but only as having the reality of a schema -- the schema of the regulative principle of the systematic unity of all knowledge of nature. They should be regarded only as analoga of real things, not as in themselves real things. We remove from the object of the idea the conditions which limit the concept provided by our understanding, but which also alone make it possible for us to have a determinate con- cept of anything. What we then think is a something of which, as it is in itself, we have no concept whatsoever, but which we none the less represent to ourselves as standing to the sum of appearances in a relation analogous to that in which appearances stand to one another. If, in this manner, we assume such ideal beings, we do not really extend our knowledge beyond the objects of possible experience; we extend only the empirical unity of such experi- ence, by means of the systematic unity for which the schema is provided by the idea -- an idea which has therefore no claim to be a constitutive, but only a regulative principle. For to allow that we posit a thing, a something, a real being, corresponding to the idea, is not to say that we profess to extend our knowledge of things by means of transcen- dental concepts. For this being is posited only in the idea and not in itself; and therefore only as expressing the systematic P 553 unity which is to serve as a rule for the empirical employ- ment of reason. It decides nothing in regard to the ground of this unity or as to what may be the inner character of the being on which as cause the unity depends. Thus the transcendental, and the only determinate, con- cept which the purely speculative reason gives us of God is, in the strictest sense, deistic; that is, reason does not determine the objective validity of such a concept, but yields only the idea of something which is the ground of the highest and necessary unity of all empirical reality. This something we cannot think otherwise than on the analogy of a real sub- stance that, in conformity with laws of reason, is the cause of all things. This, indeed, is how we must think it, in so far as we venture to think it as a special object, and do not rather remain satisfied with the mere idea of the regu- lative principle of reason, leaving aside the completion of all conditions of thought as being too surpassingly great for the human understanding. The latter procedure is, how- ever, inconsistent with the pursuit of that complete system- atic unity in our knowledge to which reason at least sets no limits. This, then, is how matters stand: if we assume a divine being, we have indeed no concept whatsoever either of the inner possibility of its supreme perfection or of the necessity of its existence; but, on the other hand, we are in a position to give a satisfactory answer to all those questions which relate to the contingent, and to afford reason the most com- plete satisfaction in respect to that highest unity after which it is seeking in its empirical employment. The fact, however, that we are unable to satisfy reason in respect to the assump- tion itself, shows that it is the speculative interest of reason, not any insight, which justifies it in thus starting from a point that lies so far above its sphere; and in endeavouring, by this device, to survey its objects as constituting a complete whole. We here come upon a distinction bearing on the procedure of thought in dealing with one and the same assumption, a distinction which is somewhat subtle, but of great importance in transcendental philosophy. I may have sufficient ground to assume something, in a relative sense (suppositio relativa), and yet have no right to assume it absolutely (suppositio absoluta). P 554 This distinction has to be reckoned with in the case of a merely regulative principle. We recognise the necessity of the principle, but have no knowledge of the source of its neces- sity; and in assuming that it has a supreme ground, we do so solely in order to think its universality more determinately. Thus, for instance, when I think as existing a being that corresponds to a mere idea, indeed to a transcendental idea, I have no right to assume any such thing as in itself exist- ing, since no concepts through which I am able to think any object as determined suffice for such a purpose -- the condi- tions which are required for the objective validity of my con- cepts being excluded by the idea itself. The concepts of reality, substance, causality, even that of necessity in existence, apart from their use in making possible the empirical knowledge of an object, have no meaning whatsoever, such as might serve to determine any object. They can be employed, therefore, to explain the possibility of things in the world of sense, but not to explain the possibility of the universe itself. Such a ground of explanation would have to be outside the world, and could not therefore be an object of a possible experience. None the less, though I cannot assume such an inconceivable being [as existing] in itself, I may yet assume it as the object of a mere idea, relatively to the world of sense. For if the greatest possible empirical employment of my reason rests upon an idea (that of systematically complete unity, which I shall presently be defining more precisely), an idea which, al- though it can never itself be adequately exhibited in experi- ence, is yet indispensably necessary in order that we may approximate to the highest possible degree of empirical unity, I shall not only be entitled, but shall also be constrained, to realise this idea, that is, to posit for it a real object. But I may posit it only as a something which I do not at all know in itself, and to which, as a ground of that systematic unity, I ascribe, in relation to this unity, such properties as are ana- logous to the concepts employed by the understanding in the empirical sphere. Accordingly, in analogy with realities in the world, that is, with substances, with causality and with necessity, I think a being which possesses all this in the highest perfection; and since this idea depends merely on my reason, I can think this being as self-subsistent reason, P 555 which through ideas of the greatest harmony and unity is the cause of the universe. I thus omit all conditions which might limit the idea, solely in order, under countenance of such an original ground, to make possible systematic unity of the manifold in the universe, and thereby the greatest possible empirical employment of reason. This I do by repre- senting all connections as if they were the ordinances of a supreme reason, of which our reason is but a faint copy. I then proceed to think this supreme being exclusively through con- cepts which, properly, are applicable only in the world of sense. But since I make none but a relative use of the trans- cendental assumption, namely, as giving the substratum of the greatest possible unity of experience, I am quite in order in thinking a being which I distinguish from the world of sense, through properties which belong solely to that world. For I do not seek, nor am I justified in seeking, to know this object of my idea according to what it may be in itself. There are no concepts available for any such purpose; even the concepts of reality, substance, causality, nay, even that of necessity in existence, lose all meaning, and are empty titles for [possible] concepts, themselves entirely without content, when we thus venture with them outside the field of the senses. I think to myself merely the relation of a being, in itself completely un- known to me, to the greatest possible systematic unity of the universe, solely for the purpose of using it as a schema of the regulative principle of the greatest possible empirical employ- ment of my reason. If it be the transcendental object of our idea that we have in view, it is obvious that we cannot thus, in terms of the concepts of reality, substance, causality, etc. , presuppose its reality in itself, since these concepts have not the least applica- tion to anything that is entirely distinct from the world of sense. The supposition which reason makes of a supreme being, as the highest cause, is, therefore relative only; it is devised solely for the sake of systematic unity in the world of sense, and is a mere something in idea, of which, as it may be in itself, we have no concept. This explains why, in relation to what is given to the senses as existing, we require the idea of a prim- ordial being necessary in itself, and yet can never form the slightest concept of it or of its absolute necessity. P 556 We are now in a position to have a clear view of the outcome of the whole Transcendental Dialectic, and accurately to define the final purpose of the ideas of pure reason, which become dialectical only through heedlessness and misapprehension. Pure reason is in fact occupied with nothing but itself. It can have no other vocation. For what is given to it does not consist in objects that have to be brought to the unity of the empirical concept, but in those modes of knowledge supplied by the understanding that require to be brought to the unity of the concept of reason -- that is, to unity of connection in conform- ity with a principle. The unity of reason is the unity of system; and this systematic unity does not serve objectively as a prin- ciple that extends the application of reason to objects, but sub- jectively as a maxim that extends its application to all possible empirical knowledge of objects. Nevertheless, since the system- atic connection which reason can give to the empirical em- ployment of the understanding not only furthers its extension, but also guarantees its correctness, the principle of such system- atic unity is so far also objective, but in an indeterminate manner (principium vagum). It is not a constitutive principle that enables us to determine anything in respect of its direct object, but only a merely regulative principle and maxim, to further and strengthen in infinitum (indeterminately) the empirical employment of reason -- never in any way proceed- ing counter to the laws of its empirical employment, and yet at the same time opening out new paths which are not within the cognisance of the understanding. But reason cannot think this systematic unity otherwise than by giving to the idea of this unity an object; and since experience can never give an example of complete systematic unity, the object which we have to assign to the idea is not such as experience can ever supply. This object, as thus enter- tained by reason (ens rationis ratiocinatae), is a mere idea; it is not assumed as a something that is real absolutely and in itself, but is postulated only problematically (since we cannot reach it through any of the concepts of the under- standing) in order that we may view all connection of the things of the world of sense as if they had their ground in such a being. In thus proceeding, our sole purpose is to secure that systematic unity which is indispensable to reason, and P 557 which while furthering in every way the empirical knowledge obtainable by the understanding can never interfere to hinder or obstruct it. We misapprehend the meaning of this idea if we regard it as the assertion or even as the assumption of a real thing, to which we may proceed to ascribe the ground of the sys- tematic order of the world. On the contrary, what this ground which eludes our concepts may be in its own inherent con- stitution is left entirely undetermined; the idea is posited only as being the point of view from which alone that unity, which is so essential to reason and so beneficial to the understand- ing, can be further extended. In short, this transcendental thing is only the schema of the regulative principle by which reason, so far as lies in its power, extends systematic unity over the whole field of experience. The first object of such an idea is the 'I' itself, viewed simply as thinking nature or soul. If I am to investigate the properties with which a thinking being is in itself endowed, I must interrogate experience. For I cannot even apply any one of the categories to this object, except in so far as the schema of the category is given in sensible intuition. But I never there- by attain to a systematic unity of all appearances of inner sense. Instead, then, of the empirical concept (of that which the soul actually is), which cannot carry us far, reason takes the concept of the empirical unity of all thought; and by thinking this unity as unconditioned and original, it forms from it a concept of reason, that is, the idea of a simple substance, which, unchange- able in itself (personally identical), stands in association with other real things outside it; in a word, the idea of a simple self- subsisting intelligence. Yet in so doing it has nothing in view save principles of systematic unity in the explanation of the appearances of the soul. It is endeavouring to represent all determinations as existing in a single subject, all powers, so far as possible, as derived from a single fundamental power, all change as belonging to the states of one and the same per- manent being, and all appearances in space as completely dif- ferent from the actions of thought. The simplicity and other properties of substance are intended to be only the schema of this regulative principle, and are not presupposed as being the actual ground of the properties of the soul. For these may rest P 558 on altogether different grounds, of which we can know nothing. The soul in itself could not be known through these assumed predicates, not even if we regarded them as absolutely valid in respect of it. For they constitute a mere idea which cannot be represented in concreto. Nothing but advantage can result from the psychological idea thus conceived, if only we take heed that it is not viewed as more than a mere idea, and that it is therefore taken as valid only relatively to the systematic employment of reason in determining the appearances of our soul. For no empirical laws of bodily appearance, which are of a totally different kind, will then intervene in the explana- tion of what belongs exclusively to inner sense. No windy hypotheses of generation, extinction, and palingenesis of souls will be permitted. The consideration of this object of inner sense will thus be kept completely pure and will not be con- fused by the introduction of heterogeneous properties. Also, reason's investigations will be directed to reducing the grounds of explanation in this field, so far as may be possible, to a single principle. All this will be best attained through such a schema, viewed as if it were a real being; indeed it is attain- able in no other way. The psychological idea can signify nothing but the schema of a regulative concept. For were I to enquire whether the soul in itself is of spiritual nature, the question would have no meaning. In employing such a concept I not only abstract from corporeal nature, but from nature in general, that is, from all predicates of any possible experience, and therefore from all conditions requisite for thinking an object for such a concept; yet only as related to an object can the concept be said to have a meaning. The second regulative idea of merely speculative reason is the concept of the world in general. For nature is properly the only given object in regard to which reason requires regu- lative principles. This nature is twofold, either thinking or corporeal. To think the latter, so far as regards its inner possibility, that is, to determine the application of the cate- gories to it, we need no idea, that is, no representation which transcends experience. Nor, indeed, is any idea possible in this connection, since in dealing with corporeal nature we are guided solely by sensible intuition. The case is different from that of the fundamental psychological concept ('I'), which P 559 contains a priori a certain form of thought, namely, the unity of thought. There therefore remains for pure reason nothing but nature in general, and the completeness of the conditions in nature in accordance with some principle. The absolute totality of the series of these conditions, in the derivation of their members, is an idea which can never be completely realised in the empirical employment of reason, but which yet serves as a rule that prescribes how we ought to proceed in dealing with such series, namely, that in explaining appear- ances, whether in their regressive or in their ascending order, we ought to treat the series as if it were in itself infinite, that is, as if it proceeded in indefinitum. When, on the other hand, reason is itself regarded as the determining cause, as in [the sphere of] freedom, that is to say, in the case of practical prin- ciples, we have to proceed as if we had before us an object, not of the senses, but of the pure understanding. In this practical sphere the conditions are no longer in the series of appear- ances; they can be posited outside the series, and the series of states can therefore be regarded as if it had an absolute be- ginning, through an intelligible cause. All this shows that the cosmological ideas are nothing but simply regulative prin- ciples, and are very far from positing, in the manner of con- stitutive principles, an actual totality of such series. The fuller treatment of this subject will be found in the chapter on the antinomy of pure reason. The third idea of pure reason, which contains a merely relative supposition of a being that is the sole and sufficient cause of all cosmological series, is the idea of God. We have not the slightest ground to assume in an absolute manner (to suppose in itself) the object of this idea; for what can enable us to believe in or assert a being of the highest perfection and one absolutely necessary by its very nature, merely on the basis of its concept, or if we did how could we justify our procedure? It is only by way of its relation to the world that we can attempt to establish the necessity of this supposition; and it then becomes evident that the idea of such a being, like all speculative ideas, seeks only to formulate the command of reason, that all con- nection in the world be viewed in accordance with the prin- ciples of a systematic unity -- as if all such connection had its source in one single all-embracing being, as the supreme and P 560 all-sufficient cause. It is thus evident that reason has here no other purpose than to prescribe its own formal rule for the extension of its empirical employment, and not any extension beyond all limits of empirical employment. Consequently it is evident that this idea does not, in any concealed fashion, in- volve any principle that claims, in its application to possible experience, to be constitutive in character. This highest formal unity, which rests solely on concepts of reason, is the purposive unity of things. The speculative interest of reason makes it necessary to regard all order in the world as if it had originated in the purpose of a supreme reason. Such a principle opens out to our reason, as applied in the field of experience, altogether new views as to how the things of the world may be connected according to teleological laws, and so enables it to arrive at their greatest systematic unity. The assumption of a supreme intelligence, as the one and only cause of the universe, though in the idea alone, can therefore always benefit reason and can never injure it. Thus if, in studying the shape of the earth (which is round, but some- what flattened), of the mountains, seas, etc. , we assume it to be the outcome of wise purposes on the part of an Author of the world, we are enabled to make in this way a number of dis- coveries. And provided we restrict ourselves to a merely regu- lative use of this principle, even error cannot do us any serious harm. For the worst that can happen would be that where we expected a teleological connection (nexus finalis), we find only a mechanical or physical connection (nexus effectivus). In such a case, we merely fail to find the additional unity; we do not destroy the unity upon which reason insists in its empirical employment. ++ The advantage arising from the spherical shape of the earth is well known. But few are aware that its spheroidal flattening alone prevents the continental elevations, or even the smaller hills, thrown up perhaps by earthquakes, from continuously, and indeed quite appreciably in a comparatively short time, altering the position of the axis of the earth. The protuberance of the earth at the equator forms so vast a mountain that the impetus of all the other moun- tains can never produce any observable effect in changing the posi- tion of the earth's axis. And yet, wise as this arrangement is, we feel no scruples in explaining it from the equilibrium of the formerly fluid mass of the earth. P 561 But even a disappointment of this sort cannot affect the teleological law itself, in its general bearing. For although an anatomist can be convicted of error when he assigns to some member of an animal body an end which it can be clearly shown not to subserve, it is yet quite im- possible to prove in any given case that an arrangement of nature, be it what it may, subserves no end whatsoever. Accordingly, medical physiology extends its very limited em- pirical knowledge of the ends served by the articulation of an organic body, by resorting to a principle for which pure reason has alone been responsible; and it carries this principle so far as to assume confidently, and with general approval, that every- thing in an animal has its use, and subserves some good pur- pose. If this assumption be treated as constitutive it goes much further than observation has thus far been able to justify; and we must therefore conclude that it is nothing more than a regulative principle of reason, to aid us in securing the highest possible systematic unity, by means of the idea of the pur- posive causality of the supreme cause of the world -- as if this being, as supreme intelligence, acting in accordance with a supremely wise purpose, were the cause of all things. If, however, we overlook this restriction of the idea to a merely regulative use, reason is led away into mistaken paths. For it then leaves the ground of experience, which alone can contain the signs that mark out its proper course, and ventures out beyond it to the incomprehensible and unsearchable, rising to dizzy heights where it finds itself entirely cut off from all possible action in conformity with experience. The first error which arises from our using the idea of a supreme being in a manner contrary to the nature of an idea, that is, constitutively, and not regulatively only, is the error of ignava ratio. ++ This was the title given by the ancient dialecticians to a sophistical argument, which ran thus: If it is your fate to recover from this illness, you will recover, whether you employ a physician or not. Cicero states that this mode of argument has been so named, because, if we conformed to it, reason would be left without any use in life. On the same ground I apply the name also to the sophistical argument of pure reason. P 561 We may so entitle every principle which makes P 562 us regard our investigation into nature, on any subject, as absolutely complete, disposing reason to cease from further enquiry, as if it had entirely succeeded in the task which it had set itself. Thus the psychological idea, when it is employed as a constitutive principle to explain the appearances of our soul, and thereby to extend our knowledge of the self beyond the limits of experience (its state after death), does indeed simplify the task of reason; but it interferes with, and entirely ruins, our use of reason in dealing with nature under the guidance of our experiences. The dogmatic spiritualist explains the abiding and unchanging unity of a person throughout all change of state, by the unity of the thinking substance, of which, as he believes, he has immediate perception in the 'I'; or he explains the interest which we take in what can happen only after our death, by means of our consciousness of the im- material nature of the thinking subject; and so forth. He thus dispenses with all empirical investigation of the cause of these inner appearances, so far as that cause is to be found in physi- cal grounds of explanation; and to his own great convenience, though at the sacrifice of all real insight, he professes, in re- liance upon the assumed authority of a transcendent reason, to have the right to ignore those sources of knowledge which are immanent in experience. These detrimental consequences are even more obvious in the dogmatic treatment of our idea of a supreme intelligence, and in the theological system of nature (physico-theology) which is falsely based upon it. For in this field of enquiry, if instead of looking for causes in the universal laws of material mechanism, we appeal directly to the unsearchable decree of supreme wisdom, all those ends which are exhibited in nature, together with the many ends which are only ascribed by us to nature, make our investi- gation of the causes a very easy task, and so enable us to regard the labour of reason as completed, when, as a matter of fact, we have merely dispensed with its employment -- an employment which is wholly dependent for guidance upon the order of nature and the series of its alterations, in accordance with the universal laws which they are found to exhibit. This error can be avoided, if we consider from the teleological point of view not merely certain parts of nature, such as the distribu- P 563 tion of land, its structure, the constitution and location of the mountains, or only the organisation of the vegetable and animal kingdoms, but make this systematic unity of nature completely universal, in relation to the idea of a supreme in- telligence. For we then treat nature as resting upon a purpos- iveness, in accordance with universal laws, from which no special arrangement is exempt, however difficult it may be to establish this in any given case. We then have a regulative principle of the systematic unity of teleological connection -- a connection which we do not, however, predetermine. What we may presume to do is to follow out the physico-mechanical connection in accordance with universal laws in the hope of discovering what the teleological connection actually is. In this way alone can the principle of purposive unity aid always in extending the employment of reason in reference to experience without being in any instance prejudicial to it. The second error arising from the misapprehension of the above principle of systematic unity is that of perversa ratio (husteron proteron). The idea of systematic unity should be used only as a regulative principle to guide us in seeking for such unity in the connection of things, according to universal laws of nature; and we ought, therefore, to believe that we have approximated to completeness in the employment of the principle only in proportion as we are in a position to verify such unity in empirical fashion -- a completeness which is never, of course, attainable. Instead of this the reverse pro- cedure is adopted. The reality of a principle of purposive unity is not only presupposed but hypostatised; and since the concept of a supreme intelligence is in itself completely be- yond our powers of comprehension, we proceed to determine it in an anthropomorphic manner, and so to impose ends upon nature, forcibly and dictatorially, instead of pursuing the more reasonable course of searching for them by the path of physical investigation. And thus teleology, which is in- tended to aid us merely in completing the unity of nature in accordance with universal laws, not only tends to abrogate such unity, but also prevents reason from carrying out its own professed purpose, that of proving from nature, in conformity with these laws, the existence of a supreme intelligent cause. P 564 For if the most complete purposiveness cannot be presupposed a priori in nature, that is, as belonging to its essence, how can we be required to search for it, and through all its gradations to approximate to the supreme perfection of an Author of all things, a perfection that, as absolutely necessary, must be knowable a priori? The regulative principle prescribes that systematic unity as a unity in nature, which is not known merely empirically but is presupposed a priori (although in an indeterminate manner), be presupposed absolutely, and consequently as following from the essence of things. If, however, I begin with a supreme purposive being as the ground of all things, the unity of nature is really surrendered, as being quite foreign and accidental to the nature of things, and as not capable of being known from its own universal laws. There then arises a vicious circle; we are assuming just that very point which is mainly in dispute. To take the regulative principle of the systematic unity of nature as being a constitutive principle, and to hypostatise, and presuppose as a cause, that which serves, merely in idea, as the ground of the consistent employment of reason, is simply to confound reason. The investigation of nature takes its own independent course, keeping to the chain of natural causes in conformity with their universal laws. It does indeed, in so doing, proceed in accordance with the idea of an Author of the universe, but not in order to deduce therefrom the purposive- ness for which it is ever on the watch, but in order to obtain knowledge of the existence of such an Author from this pur- posiveness. And by seeking this purposiveness in the essence of the things of nature, and so far as may be possible in the essence of things in general, it seeks to know the existence of this supreme being as absolutely necessary. Whether this latter enterprise succeed or not, the idea remains always true in itself, and justified in its use, provided it be restricted to the condi- tions of a merely regulative principle. Complete purposive unity constitutes what is, in the ab- solute sense, perfection. If we do not find this unity in the essence of the things which go to constitute the entire object of experience, that is, of all our objectively valid knowledge, and therefore do not find it in the universal and necessary laws of nature, how can we profess to infer directly from this unity the P 565 idea of a supreme and absolutely necessary perfection of an original being, as the source of all causality? The greatest pos- sible systematic unity, and consequently also purposive unity, is the training school for the use of reason, and is indeed the very foundation of the possibility of its greatest possible employ- ment. The idea of such unity is, therefore, inseparably bound up with the very nature of our reason. This same idea is on that account legislative for us; and it is therefore very natural that we should assume a corresponding legislative reason (intellectus archetypus), from which, as the object of our reason, all systematic unity of nature is to be derived. In discussing the antinomy of pure reason we have stated that the questions propounded by pure reason must in every case admit of an answer, and that in their regard it is not per- missible to plead the limits of our knowledge (a plea which in many questions that concern nature is as unavoidable as it is relevant). For we are not here asking questions in regard to the nature of things, but only such questions as arise from the very nature of reason, and which concern solely its own inner constitution. We are now in a position to confirm this assertion -- which at first sight may have appeared rash -- so far as regards the two questions in which pure reason is most of all interested; and thus finally to complete our discussion of the dialectic of pure reason. If, in connection with a transcendental theology, we ask, first, whether there is anything distinct from the world, which contains the ground of the order of the world and of its con- nection in accordance with universal laws, the answer is that there undoubtedly is. For the world is a sum of appearances; and there must therefore be some transcendental ground of the appearances, that is, a ground which is thinkable only by the pure understanding. If, secondly, the question be, whether this being is substance, of the greatest reality, necessary, etc. , ++ After what I have already said regarding the psychological idea and its proper vocation, as a principle for the merely regulative employment of reason, I need not dwell at any length upon the transcendental illusion by which the systematic unity of all the mani- foldness of inner sense is hypostatised. The procedure is very similar to that which is under discussion in our criticism of the theological ideal. P 566 we reply that this question is entirely without meaning. For all categories through which we can attempt to form a concept of such an object allow only of empirical employment, and have no meaning whatsoever when not applied to objects of possible experience, that is, to the world of sense. Outside this field they are merely titles of concepts, which we may admit, but through which [in and by themselves] we can understand nothing. If, thirdly, the question be, whether we may not at least think this being, which is distinct from the world, in analogy with the objects of experience, the answer is: cer- tainly, but only as object in idea and not in reality, namely, only as being a substratum, to us unknown, of the systematic unity, order, and purposiveness of the arrangement of the world -- an idea which reason is constrained to form as the regulative principle of its investigation of nature. Nay, more, we may freely, without laying ourselves open to censure, admit into this idea certain anthropomorphisms which are helpful to the principle in its regulative capacity. For it is always an idea only, which does not relate directly to a being distinct from the world, but to the regulative principle of the systematic unity of the world, and only by means of a schema of this unity, namely, through the schema of a supreme intelligence which, in originating the world, acts in accordance with wise purposes. What this primordial ground of the unity of the world may be in itself, we should not profess to have thereby decided, but only how we should use it, or rather its idea, in relation to the systematic employment of reason in respect of the things of the world. But the question may still be pressed: Can we, on such grounds, assume a wise and omnipotent Author of the world? Undoubtedly we may; and we not only may, but must, do so. But do we then extend our knowledge beyond the field of pos- sible experience? By no means. All that we have done is merely to presuppose a something, a merely transcendental object, of which, as it is in itself, we have no concept whatsoever. It is only in relation to the systematic and purposive ordering of the world, which, if we are to study nature, we are constrained to presuppose, that we have thought this unknown being by analogy with an intelligence (an empirical concept); that is, have endowed it, in respect of the ends and perfection P 567 which are to be grounded upon it, with just those properties which, in conformity with the conditions of our reason, can be regarded as containing the ground of such systematic unity. This idea is thus valid only in respect of the employment of our reason in reference to the world. If we ascribed to it a validity that is absolute and objective, we should be forgetting that what we are thinking is a being in idea only; and in thus taking our start from a ground which is not determinable through observation of the world, we should no longer be in a position to apply the principle in a manner suited to the empirical employment of reason. But, it will still be asked, can I make any such use of the concept and of the presupposition of a supreme being in the rational consideration of the world? Yes, it is precisely for this purpose that reason has resorted to this idea. But may I then proceed to regard seemingly purposive arrangements as purposes, and so derive them from the divine will, though, of course, mediately through certain special natural means, themselves established in furtherance of that divine will? Yes, we can indeed do so; but only on condition that we regard it as a matter of indifference whether it be asserted that divine wisdom has disposed all things in accordance with its supreme ends, or that the idea of supreme wisdom is a regu- lative principle in the investigation of nature and a principle of its systematic and purposive unity, in accordance with universal laws, even in those cases in which we are unable to detect that unity. In other words, it must be a matter of complete indifference to us, when we perceive such unity, whether we say that God in his wisdom has willed it to be so, or that nature has wisely arranged it thus. For what has justified us in adopting the idea of a supreme intelligence as a schema of the regulative principle is precisely this greatest possible systematic and purposive unity -- a unity which our reason has required as a regulative principle that must under- lie all investigation of nature. The more, therefore, we dis- cover purposiveness in the world, the more fully is the legiti- macy of our idea confirmed. But since the sole aim of that principle was to guide us in seeking a necessary unity of nature, and that in the greatest possible degree, while we do indeed, P 568 in so far as we attain that unity, owe it to the idea of a supreme being, we cannot, without contradicting ourselves, ignore the universal laws of nature -- with a view to discovering which the idea was alone adopted -- and look upon this purposiveness of nature as contingent and hyperphysical in its origin. For we were not justified in assuming above nature a being with those qualities, but only in adopting the idea of such a being in order to view the appearances as systematically connected with one another in accordance with the principle of a causal deter- mination. For the same reasons, in thinking the cause of the world, we are justified in representing it in our idea not only in terms of a certain subtle anthropomorphism (without which we could not think anything whatsoever in regard to it), namely, as a being that has understanding, feelings of pleasure and displeasure, and desires and volitions corresponding to these, but also in ascribing to it a perfection which, as infinite, far transcends any perfection that our empirical knowledge of the order of the world can justify us in attributing to it. For the regulative law of systematic unity prescribes that we should study nature as if systematic and purposive unity, combined with the greatest possible manifoldness, were everywhere to be met with, in infinitum. For although we may succeed in dis- covering but little of this perfection of the world, it is never- theless required by the legislation of our reason that we must always search for and surmise it; and it must always be bene- ficial, and can never be harmful, to direct our investigations into nature in accordance with this principle. But it is evident that in this way of representing the principle as involving the idea of a supreme Author, I do not base the principle upon the existence and upon the knowledge of such a being, but upon its idea only, and that I do not really derive anything from this being, but only from the idea of it -- that is, from the nature of the things of the world, in accordance with such an idea. A certain, unformulated consciousness of the true use of this concept of reason seems indeed to have inspired the modest and reasonable language of the philosophers of all times, since they speak of the wisdom and providence of nature and of divine wisdom, just as if nature and divine wisdom were P 569 equivalent expressions -- indeed, so long as they are dealing solely with speculative reason, giving preference to the former mode of expression, on the ground that it enables us to avoid making profession of more than we are justified in asserting, and that it likewise directs reason to its own proper field, namely, nature. Thus pure reason, which at first seemed to promise nothing less than the extension of knowledge beyond all limits of ex- perience, contains, if properly understood, nothing but regu- lative principles, which, while indeed prescribing greater unity than the empirical employment of understanding can achieve, yet still, by the very fact that they place the goal of its endeavours at so great a distance, carry its agreement with itself, by means of systematic unity, to the highest possible degree. But if, on the other hand, they be misunderstood, and be treated as constitutive principles of transcendent knowledge, they give rise, by a dazzling and deceptive illusion, to persuasion and a merely fictitious knowledge, and therewith to contradictions and eternal disputes. *** Thus all human knowledge begins with intuitions, pro- ceeds from thence to concepts, and ends with ideas. Although in respect of all three elements it possesses a priori sources of knowledge, which on first consideration seem to scorn the limits of all experience, a thoroughgoing critique convinces us that reason, in its speculative employment, can never with these elements transcend the field of possible experience, and that the proper vocation of this supreme faculty of knowledge is to use all methods, and the principles of these methods, solely for the purpose of penetrating to the innermost secrets of nature, in accordance with every possible principle of unity -- that of ends being the most important -- but never to soar beyond its limits, outside which there is for us nothing but empty space. The critical examination, as carried out in the Transcendental Analytic, of all propositions which may seem to extend our knowledge beyond actual experience, has doubt- less sufficed to convince us that they can never lead to any- thing more than a possible experience. Were it not that we are suspicious of abstract and general doctrines, however clear, P 570 and were it not that specious and alluring prospects tempt us to escape from the compulsion which these doctrines impose, we might have been able to spare ourselves the laborious in- terrogation of all those dialectical witnesses that a transcen- dent reason brings forward in support of its pretensions. For we should from the start have known with complete certainty that all such pretensions, while perhaps honestly meant, must be absolutely groundless, inasmuch as they relate to a kind of knowledge to which man can never attain. But there is no end to such discussions, unless we can penetrate to the true cause of the illusion by which even the wisest are deceived. Moreover, the resolution of all our transcendent knowledge into its elements (as a study of our inner nature) is in itself of no slight value, and to the philosopher is indeed a matter of duty. Accordingly, fruitless as are all these endeavours of speculative reason, we have none the less found it necessary to follow them up to their primary sources. And since the dialectical illusion does not merely deceive us in our judg- ments, but also, because of the interest which we take in these judgments, has a certain natural attraction which it will always continue to possess, we have thought it advisable, with a view to the prevention of such errors in the future, to draw up in full detail what we may describe as being the records of this lawsuit, and to deposit them in the archives of human reason. P 571 II TRANSCENDENTAL DOCTRINE OF METHOD P 573 TRANSCENDENTAL DOCTRINE OF METHOD IF we look upon the sum of all knowledge of pure speculative reason as an edifice for which we have at least the idea within ourselves, it can be said that in the Transcendental Doctrine of Elements we have made an estimate of the materials, and have determined for what sort of edifice and for what height and strength of building they suffice. We have found, in- deed, that although we had contemplated building a tower which should reach to the heavens, the supply of materials suffices only for a dwelling-house, just sufficiently commodious for our business on the level of experience, and just sufficiently high to allow of our overlooking it. The bold undertaking that we had designed is thus bound to fail through lack of material -- not to mention the babel of tongues, which inevitably gives rise to disputes among the workers in regard to the plan to be followed, and which must end by scattering them over all the world, leaving each to erect a separate building for himself, according to his own design. At present, however, we are con- cerned not so much with the materials as with the plan; and inasmuch as we have been warned not to venture at random upon a blind project which may be altogether beyond our capacities, and yet cannot well abstain from building a secure home for ourselves, we must plan our building in conformity with the material which is given to us, and which is also at the same time appropriate to our needs. I understand, therefore, by Transcendental Doctrine of Method the determination of the formal conditions of a com- plete system of pure reason. In this connection, we shall have to treat of a discipline, a canon, an architectonic, and finally a history of pure reason, and to provide (in its transcendental reference) what, in relation to the use of the understanding in general, the Schools have attempted, though very unsatis- P 574 factorily, under the title of a practical logic. For since universal logic is not confined to any particular kind of knowledge made possible by the understanding (for instance, not to its pure knowledge) and is also not confined to certain objects, it cannot, save by borrowing knowledge from other sciences, do more than present the titles of possible methods and the technical terms which are used for purposes of systematisation in all kinds of sciences; and this serves only to acquaint the novice in advance with names the meaning and use of which he will not learn till later. TRANSCENDENTAL DOCTRINE OF METHOD CHAPTER I THE DISCIPLINE OF PURE REASON Owing to the general desire for knowledge, negative judg- ments, that is, those which are such not merely as regards their form but also as regards their content, are not held in any very high esteem. They are regarded rather as the jealous enemies of our unceasing endeavour to extend our knowledge, and it almost requires an apology to win for them even tolerance, not to say favour and high repute. As far as logical form is concerned, we can make negative any proposition we like; but in respect to the content of our knowledge in general, which is either extended or limited by a judgment, the task peculiar to negative judgments is that of rejecting error. Accordingly, negative propositions intended to reject false knowledge, where yet no error is possible, are indeed true but empty, that is, are not suited to their purpose, and just for this reason are often quite absurd, like the proposition of the Schoolman, that Alexander could not have conquered any countries without an army. But where the limits of our possible knowledge are very narrow, where the temptation to judge is great, where the illu- sion that besets us is very deceptive and the harm that results from the error is considerable, there the negative instruction, which serves solely to guard us from errors, has even more importance than many a piece of positive information by P 575 which our knowledge is increased. The compulsion, by which the constant tendency to disobey certain rules is restrained and finally extirpated, we entitle discipline. It is distinguished from culture, which is intended solely to give a certain kind of skill, and not to cancel any habitual mode of action already present. Towards the development of a talent, which has al- ready in itself an impulse to manifest itself, discipline will therefore contribute in a negative, culture and doctrine in a positive, fashion. That temperament and our various talents (such as imagi- nation and wit) which incline to allow themselves a free and unlimited activity are in many respects in need of a discipline, everyone will readily admit. But that reason, whose proper duty it is to prescribe a discipline for all other endeavours, should itself stand in need of such discipline may indeed seem strange; and it has, in fact, hitherto escaped this humiliation, only because, in view of its stately guise and established stand- ing, nobody could lightly come to suspect it of idly substituting fancies for concepts, and words for things. There is no need of a critique of reason in its empirical em- ployment, because in this field its principles are always sub- ject to the test of experience. Nor is it needed in mathematics, where the concepts of reason must be forthwith exhibited in concreto in pure intuition, so that everything unfounded and arbitrary in them is at once exposed. But where neither em- pirical nor pure intuition keeps reason to a visible track, when, that is to say, reason is being considered in its transcendental employment, in accordance with mere concepts, it stands so greatly in need of a discipline, to restrain its tendency towards extension beyond the narrow limits of possible experience and to guard it against extravagance and error, that the whole P 576 philosophy of pure reason has no other than this strictly negative utility. P 575n ++ I am well aware that in the terminology of the Schools the title discipline is commonly used as synonymous with instruction. How- ever, there are so many other cases where discipline in the sense of training by constraint is carefully distinguished from instruction in the sense of teaching, and the very nature of things itself makes it so imperative that we should preserve the only expressions suitable for this distinction, that it is desirable that the former term should never be used in any but the negative sense. P 576 Particular errors can be got rid of by censure, and their causes by criticism. But where, as in the case of pure reason, we come upon a whole system of illusions and fallacies, intimately bound together and united under common prin- ciples, a quite special negative legislation seems to be required, erecting a system of precautions and self-examination under the title of a discipline, founded on the nature of reason and the objects of its pure employment -- a system in face of which no pseudo-rational illusion will be able to stand, but will at once betray itself, no matter what claims it may ad- vance for exceptional treatment. But it is well to note that in this second main division of the transcendental Critique the discipline of pure reason is not directed to the content but only to the method of knowledge through pure reason. The former has already been considered in the Doctrine of Elements. But there is so much similarity in the mode of employing reason, whatever be the object to which it is applied, while yet, at the same time, its transcendental employment is so essentially different from every other, that without the admonitory negative teaching of a discipline, specially devised for the purpose, we cannot hope to avoid the errors which inevitably arise from pursuing in improper fashion methods which are indeed suitable to reason in other fields, only not in this transcendental sphere. CHAPTER I Section I THE DISCIPLINE OF PURE REASON IN ITS DOGMATIC EMPLOYMENT Mathematics presents the most splendid example of the suc- cessful extension of pure reason, without the help of experience. Examples are contagious, especially as they quite naturally flatter a faculty which has been successful in one field, [leading it] to expect the same good fortune in other fields. Thus pure reason hopes to be able to extend its domain as successfully and securely in its transcendental as in its mathematical em- P 577 ployment, especially when it resorts to the same method as has been of such obvious utility in mathematics. It is therefore highly important for us to know whether the method of attain- ing apodeictic certainty which is called mathematical is identi- cal with the method by which we endeavour to obtain the same certainty in philosophy, and which in that field would have to be called dogmatic. Philosophical knowledge is the knowledge gained by reason from concepts; mathematical knowledge is the knowledge gained by reason from the construction of concepts. To con- struct a concept means to exhibit a priori the intuition which corresponds to the concept. For the construction of a concept we therefore need a non-empirical intuition. The latter must, as intuition, be a single object, and yet none the less, as the construction of a concept (a universal representation), it must in its representation express universal validity for all possible intuitions which fall under the same concept. Thus I construct a triangle by representing the object which corresponds to this concept either by imagination alone, in pure intuition, or in accordance therewith also on paper, in empirical intuition -- in both cases completely a priori, without having borrowed the pattern from any experience. The single figure which we draw is empirical, and yet it serves to express the concept, without impairing its universality. For in this empirical intuition we consider only the act whereby we construct the concept, and abstract from the many determinations (for instance, the mag- nitude of the sides and of the angles), which are quite indif- ferent, as not altering the concept 'triangle'. Thus philosophical knowledge considers the particular only in the universal, mathematical knowledge the universal in the particular, or even in the single instance, though still always a priori and by means of reason. Accordingly, just as this single object is determined by certain universal conditions of construction, so the object of the concept, to which the single object corresponds merely as its schema, must likewise be thought as universally determined. The essential difference between these two kinds of know- ledge through reason consists therefore in this formal differ- ence, and does not depend on difference of their material or objects. Those who propose to distinguish philosophy from P 578 mathematics by saying that the former has as its object quality only and the latter quantity only, have mistaken the effect for the cause. The form of mathematical knowledge is the cause why it is limited exclusively to quantities. For it is the concept of quantities only that allows of being constructed, that is, ex- hibited a priori in intuition; whereas qualities cannot be pre- sented in any intuition that is not empirical. Consequently reason can obtain a knowledge of qualities only through con- cepts. No one can obtain an intuition corresponding to the con- cept of reality otherwise than from experience; we can never come into possession of it a priori out of our own resources, and prior to the empirical consciousness of reality. The shape of a cone we can form for ourselves in intuition, unassisted by any experience, according to its concept alone, but the colour of this cone must be previously given in some experience or other. I cannot represent in intuition the concept of a cause in general except in an example supplied by experience; and similarly with other concepts. Philosophy, as well as mathe- matics, does indeed treat of quantities, for instance, of totality, infinity, etc. Mathematics also concerns itself with qualities, for instance, the difference between lines and surfaces, as spaces of different quality, and with the continuity of extension as one of its qualities. But although in such cases they have a common object, the mode in which reason handles that object is wholly different in philosophy and in mathematics. Philo- sophy confines itself to universal concepts; mathematics can achieve nothing by concepts alone but hastens at once to intui- tion, in which it considers the concept in concreto, though not empirically, but only in an intuition which it presents a priori, that is, which it has constructed, and in which whatever follows from the universal conditions of the construction must be uni- versally valid of the object of the concept thus constructed. Suppose a philosopher be given the concept of a triangle and he be left to find out, in his own way, what relation the sum of its angles bears to a right angle. He has nothing but the concept of a figure enclosed by three straight lines, and possessing three angles. However long he meditates on this concept, he will never produce anything new. He can analyse and clarify the concept of a straight line or of an angle or of the number three, but he can never arrive at any proper- P 579 ties not already contained in these concepts. Now let the geo- metrician take up these questions. He at once begins by con- structing a triangle. Since he knows that the sum of two right angles is exactly equal to the sum of all the adjacent angles which can be constructed from a single point on a straight line, he prolongs one side of his triangle and obtains two adjacent angles, which together are equal to two right angles. He then divides the external angle by drawing a line parallel to the opposite side of the triangle, and observes that he has thus ob- tained an external adjacent angle which is equal to an internal angle -- and so on. In this fashion, through a chain of in- ferences guided throughout by intuition, he arrives at a full evident and universally valid solution of the problem. But mathematics does not only construct magnitudes (quanta) as in geometry; it also constructs magnitude as such (quantitas), as in algebra. In this it abstracts completely from the properties of the object that is to be thought in terms of such a concept of magnitude. It then chooses a certain nota- tion for all constructions of magnitude as such (numbers), that is, for addition, subtraction, extraction of roots, etc. Once it has adopted a notation for the general concept of magni- tudes so far as their different relations are concerned, it ex- hibits in intuition, in accordance with certain universal rules, all the various operations through which the magnitudes are produced and modified. When, for instance, one magnitude is to be divided by another, their symbols are placed together, in accordance with the sign for division, and similarly in the other processes; and thus in algebra by means of a symbolic construc- tion, just as in geometry by means of an ostensive construction (the geometrical construction of the objects themselves), we succeed in arriving at results which discursive knowledge could never have reached by means of mere concepts. Now what can be the reason of this radical difference in the fortunes of the philosopher and the mathematician, both of whom practise the art of reason, the one making his way by means of concepts, the other by means of intuitions which he exhibits a priori in accordance with concepts? The cause is evident from what has been said above, in our exposition of the P 580 fundamental transcendental doctrines. We are not here con- cerned with analytic propositions, which can be produced by mere analysis of concepts (in this the philosopher would certainly have the advantage over his rival), but with syn- thetic propositions, and indeed with just those synthetic propositions that can be known a priori. For I must not restrict my attention to what I am actually thinking in my concept of a triangle (this is nothing more than the mere definition); I must pass beyond it to properties which are not contained in this concept, but yet belong to it. Now this is impossible unless I determine my object in accord- ance with the conditions either of empirical or of pure intuition. The former would only give us an empirical pro- position (based on the measurement of the angles), which would not have universality, still less necessity; and so would not at all serve our purpose. The second method of procedure is the mathematical one, and in this case is the method of geo- metrical construction, by means of which I combine in a pure intuition (just as I do in empirical intuition) the manifold which belongs to the schema of a triangle in general, and therefore to its concept. It is by this method that universal synthetic propositions must be constructed. It would therefore be quite futile for me to philosophise upon the triangle, that is, to think about it discursively. I should not be able to advance a single step beyond the mere definition, which was what I had to begin with. There is indeed a transcendental synthesis [framed] from concepts alone, a synthesis with which the philosopher is alone competent to deal; but it relates only to a thing in general, as defining the conditions under which the perception of it can belong to possible experience. But in mathematical problems there is no question of this, nor indeed of existence at all, but only of the properties of the objects in themselves, [that is to say], solely in so far as these properties are connected with the con- cept of the objects. In the above example we have endeavoured only to make clear the great difference which exists between the discursive employment of reason in accordance with concepts and its intuitive employment by means of the construction of concepts. This naturally leads on to the question, what can be the cause P 581 which necessitates such a twofold employment of reason, and how we are to recognise whether it is the first or the second method that is being employed. All our knowledge relates, finally, to possible intuitions, for it is through them alone that an object is given. Now an a - priori concept, that is, a concept which is not empirical, either already includes in itself a pure intuition (and if so, it can be constructed), or it includes nothing but the synthesis of possible intuitions which are not given a priori. In this latter case we can indeed make use of it in forming synthetic a - priori judgments, but only discursively in accordance with concepts, never intuitively through the construction of the concept. The only intuition that is given a priori is that of the mere form of appearances, space and time. A concept of space and time, as quanta, can be exhibited a priori in intuition, that is, constructed, either in respect of the quality (figure) of the quanta, or through number in their quantity only (the mere synthesis of the homogeneous manifold). But the matter of appearances, by which things are given us in space and time, can only be represented in perception, and therefore a poste- riori. The only concept which represents a priori this empirical content of appearances is the concept of a thing in general, and the a priori synthetic knowledge of this thing in general can give us nothing more than the mere rule of the synthesis of that which perception may give a posteriori. It can never yield an a priori intuition of the real object, since this must necessarily be empirical. Synthetic propositions in regard to things in general, the intuition of which does not admit of being given a priori, are transcendental. Transcendental propositions can never be given through construction of concepts, but only in accordance with concepts that are a priori. They contain nothing but the rule according to which we are to seek empirically for a certain synthetic unity of that which is incapable of intuitive repre- sentation a priori (that is, of perceptions). But these synthetic principles cannot exhibit a priori any one of their concepts in a specific instance; they can only do this a posteriori, by means of experience, which itself is possible only in con- formity with these principles. P 582 If we are to judge synthetically in regard to a concept, we must go beyond this concept and appeal to the intui- tion in which it is given. For should we confine ourselves to what is contained in the concept, the judgment would be merely analytic, serving only as an explanation of the thought, in terms of what is actually contained in it. But I can pass from the concept to the corresponding pure or empirical in- tuition, in order to consider it in that intuition in concreto, and so to know, either a priori or a posteriori, what are the properties of the object of the concept. The a priori method gives us our rational and mathematical knowledge through the construction of the concept, the a posteriori method our merely empirical (mechanical) knowledge, which is incapable of yielding necessary and apodeictic propositions. Thus I might analyse my empirical concept of gold without gaining anything more than merely an enumeration of everything that I actually think in using the word, thus improving the logical character of my knowledge but not in any way adding to it. But I take the material body, familiarly known by this name, and obtain perceptions by means of it; and these perceptions yield various propositions which are synthetic but empirical. When the con- cept is mathematical, as in the concept of a triangle, I am in a position to construct the concept, that is, to give it a priori in intuition, and in this way to obtain knowledge which is at once synthetic and rational. But if what is given me is the transcend- ental concept of a reality, substance, force, etc. , it indicates neither an empirical nor a pure intuition, but only the synthesis of empirical intuitions, which, as being empirical, cannot be given a priori. And since the synthesis is thus unable to ad- vance a priori, beyond the concept, to the corresponding in- tuition, the concept cannot yield any determining synthetic proposition, but only a principle of the synthesis of possible empirical intuiti ons. ++ With the concept of cause I do really go beyond the empirical concept of an event (something happening), yet I do not pass to the intuition which exhibits the concept of cause in concreto, but to the time-conditions in general, which in experience may be found to be in accord with this concept. I therefore proceed merely with concepts; I cannot proceed by means of the construction of concepts, since the concept is a rule of the synthesis of percep- tions, and the latter are not pure intuitions, and so do not permit of being given a priori. P 583 A transcendental proposition is therefore synthetic knowledge through reason, in accordance with mere concepts; and it is discursive, in that while it is what alone makes possible any synthetic unity of empirical knowledge, it yet gives us no intuition a priori. There is thus a twofold employment of reason; and while the two modes of employment resemble each other in the uni- versality and a priori origin of their knowledge, in outcome they are very different. The reason is that in the [field of] appearance, in terms of which all objects are given us, there are two elements, the form of intuition (space and time), which can be known and determined completely a priori, and the matter (the physical element) or content -- the latter signi- fying something which is met with in space and time and which therefore contains an existent corresponding to sensation. In respect to this material element, which can never be given in any determinate fashion otherwise than empirically, we can have nothing a priori except indeterminate concepts of the syn- thesis of possible sensations, in so far as they belong, in a pos- sible experience, to the unity of apperception. As regards the formal element, we can determine our concepts in a priori intuition, inasmuch as we create for ourselves, in space and time, through a homogeneous synthesis, the objects themselves -- these objects being viewed simply as quanta. The former method is called the employment of reason in accordance with concepts; in so employing it we can do nothing more than bring appearances under concepts, according to their actual content. The concepts cannot be made determinate in this manner, save only empirically, that is, a posteriori (although always in accordance with these concepts as rules of an empirical syn- thesis). The other method is the employment of reason through the construction of concepts; and since the concepts here re- late to an a priori intuition, they are for this very reason them- selves a priori and can be given in a quite determinate fashion in pure intuition, without the help of any empirical data. The consideration of everything which exists in space or time, in regard to the questions, whether and how far it is a quantum P 584 or not, whether we are to ascribe to it positive being or the ab- sence of such, how far this something occupying space or time is a primary substratum or a mere determination [of substance], whether there be a relation of its existence to some other ex- istence, as cause or effect, and finally in respect of its existence whether it is isolated or is in reciprocal relation to and depend- ence upon others -- these questions, as also the question of the possibility of this existence, its actuality and necessity, or the opposites of these, one and all belong altogether to knowledge obtained by reason from concepts, such knowledge being termed philosophical. But the determination of an intuition a - priori in space (figure), the division of time (duration), or even just the knowledge of the universal element in the synthesis of one and the same thing in time and space, and the magnitude of an intuition that is thereby generated (number), -- all this is the work of reason through construction of concepts, and is called mathematical. The great success which attends reason in its mathematical employment quite naturally gives rise to the expectation that it, or at any rate its method, will have the same success in other fields as in that of quantity. For this method has the advantage of being able to realise all its concepts in intuitions, which it can provide a priori, and by which it becomes, so to speak, master of nature; whereas pure philosophy is all at sea when it seeks through a priori discursive concepts to obtain insight in regard to the natural world, being unable to intuit a priori (and thereby to confirm) their reality. Nor does there seem to be, on the part of the experts in mathematics, any lack of self-confidence as to this procedure -- or on the part of the vulgar of great expectations from their skill -- should they apply themselves to carry out their project. For, since they have hardly ever attempted to philosophise in regard to their mathematics (a hard task! ), the specific difference between the two employments of reason has never so much as occurred to them. Current, empirical rules, which they borrow from ordin- ary consciousness, they treat as being axiomatic. In the ques- tion as to the source of the concepts of space and time they are not in the least interested, although it is precisely with these concepts (as the only original quanta) that they are themselves occupied. Similarly, they think it unnecessary to investigate P 585 the origin of the pure concepts of understanding and in so doing to determine the extent of their validity; they care only to make use of them. In all this they are entirely in the right, provided only they do not overstep the proper limits, that is, the limits of the natural world. But, unconsciously, they pass from the field of sensibility to the precarious ground of pure and even transcendental concepts, a ground (instabilis tellus, in- nabilis unda) that permits them neither to stand nor to swim, and where their hasty tracks are soon obliterated. In mathematics, on the other hand, their passage gives rise to a broad highway, which the latest posterity may still tread with confidence. We have made it our duty to determine, with exactitude and certainty, the limits of pure reason in its transcendental employment. But the pursuit of such transcendental know- ledge has this peculiarity, that in spite of the plainest and most urgent warnings men still allow themselves to be deluded by false hopes, and therefore to postpone the total abandonment of all proposed attempts to advance beyond the bounds of ex- perience into the enticing regions of the intellectual world. It therefore becomes necessary to cut away the last anchor of these fantastic hopes, that is, to show that the pursuit of the mathematical method cannot be of the least advantage in this kind of knowledge (unless it be in exhibiting more plainly the limitations of the method); and that mathematics and philosophy, although in natural science they do, indeed, go hand in hand, are none the less so completely different, that the procedure of the one can never be imitated by the other. The exactness of mathematics rests upon definitions, axioms and demonstrations. I shall content myself with showing that none of these, in the sense in which they are understood by the mathematician, can be achieved or imitated by the philosopher. I shall show that in philosophy the geometrician can by his method build only so many houses of cards, just as in mathe- matics the employment of a philosophical method results only in mere talk. Indeed it is precisely in knowing its limits that philosophy consists; and even the mathematician, unless his talent is of such a specialised character that it naturally confines itself to its proper field, cannot afford to ignore the warnings of philosophy, or to behave as if he were superior to them. P 586 1. Definitions. -- To define, as the word itself indicates, really only means to present the complete, original concept of a thing within the limits of its concept. If this be our standard, an empirical concept cannot be defined at all, but only made explicit. For since we find in it only a few characteristics of a certain species of sensible object, it is never certain that we are not using the word, in denoting one and the same object, sometimes so as to stand for more, and sometimes so as to stand for fewer characteristics. Thus in the concept of gold one man may think, in addition to its weight, colour, malle- ability, also its property of resisting rust, while another will perhaps know nothing of this quality. We make use of certain characteristics only so long as they are adequate for the pur- pose of making distinctions; new observations remove some properties and add others; and thus the limits of the concept are never assured. And indeed what useful purpose could be served by defining an empirical concept, such, for instance, as that of water? When we speak of water and its properties, we do not stop short at what is thought in the word, water, but proceed to experiments. The word, with the few characteristics which we attach to it, is more properly to be regarded as merely a designation than as a concept of the thing; the so- called definition is nothing more than a determining of the word. In the second place, it is also true that no concept given a priori, such as substance, cause, right, equity, etc. , can, strictly speaking, be defined. For I can never be certain that the clear representation of a given concept, which as given may still be confused, has been completely effected, unless I know that it is adequate to its object. But since the concept of it may, as given, include many obscure representations, which we over- look in our analysis, although we are constantly making use of them in our application of the concept, the completeness of the analysis of my concept is always in doubt, and a multiplicity P 587 of suitable examples suffices only to make the completeness probable, never to make it apodeictically certain. P 586n ++ Completeness means clearness and sufficiency of character- istics; by limits is meant the precision shown in there not being more of these characteristics than belong to the complete concept; by original is meant that this determination of these limits is not derived from anything else, and therefore does not require any proof; for if it did, that would disqualify the supposed explanation from standing at the head of all the judgments regarding its object. P 587 Instead of the term, definition, I prefer to use the term, exposition, as being a more guarded term, which the critic can accept as being up to a certain point valid, though still entertaining doubts as to the completeness of the analysis. Since, then, neither empirical con- cepts nor concepts given a priori allow of definition, the only remaining kind of concepts, upon which this mental operation can be tried, are arbitrarily invented concepts. A concept which I have invented I can always define; for since it is not given to me either by the nature of understanding or by experience, but is such as I have myself deliberately made it to be, I must know what I have intended to think in using it. I cannot, however, say that I have thereby defined a true object. For if the concept depends on empirical conditions, as e.g. the concept of a ship's clock, this arbitrary concept of mine does not assure me of the existence or of the possibility of its object. I do not even know from it whether it has an object at all, and my explanation may better be described as a declaration of my project than as a definition of an object. There remain, therefore, no concepts which allow of definition, except only those which contain an arbitrary synthesis that admits of a priori construc- tion. Consequently, mathematics is the only science that has definitions. For the object which it thinks it exhibits a priori in intuition, and this object certainly cannot contain either more or less than the concept, since it is through the definition that the concept of the object is given -- and given originally, that is, without its being necessary to derive the definition from any other source. The German language has for the [Latin] terms exposition, explication, declaration, and definition only one word, Erklarung, and we need not, therefore, be so stringent in our requirements as altogether to refuse to philo- sophical explanations the honourable title, definition. We shall confine ourselves simply to remarking that while philo- sophical definitions are never more than expositions of given concepts, mathematical definitions are constructions of con- P 588 cepts, originally framed by the mind itself; and that while the former can be obtained only by analysis (the completeness of which is never apodeictically certain), the latter are produced synthetically. Whereas, therefore, mathematical definitions make their concepts, in philosophical definitions concepts are only explained. From this it follows: (a) That in philosophy we must not imitate mathematics by beginning with definitions, unless it be by way simply of experiment. For since the definitions are analyses of given concepts, they presuppose the prior presence of the concepts, although in a confused state; and the incomplete exposition must precede the complete. Consequently, we can infer a good deal from a few characteristics, derived from an incomplete analysis, without having yet reached the complete exposition, that is, the definition. In short,the definition in all its precision and clarity ought, in philosophy, to come rather at the end than at the beginning of our enquiries. In mathematics, on the other hand, we have no concept whatsoever prior to the definition, through which the concept itself is first given. For this reason mathematical science must always begin, and it can always begin, with the definition. (b) That mathematical definitions can never be in error. For since the concept is first given through the definition, it includes nothing except precisely what the definition intends should be understood by it. But although nothing incorrect can be introduced into its content, there may sometimes, though rarely, be a defect in the form in which it is clothed, namely as regards precision. ++ Philosophy is full of faulty definitions, especially of definitions which, while indeed containing some of the elements required, are yet not complete. If we could make no use of a concept till we had defined it, all philosophy would be in a pitiable plight. But since a good and safe use can still be made of the elements obtained by analysis so far as they go, defective definitions, that is, propositions which are properly not definitions, but are yet true, and are therefore approximations to definitions, can be employed with great advantage. In mathematics definition belongs ad esse, in philosophy ad melius esse. It is desirable to attain an adequate definition, but often very difficult. The jurists are still without a definition of their concept of right. P 588 Thus the common explanation of the circle that it is a curved line every point in which is equidistant P 589 from one and the same point (the centre), has the defect that the determination, curved, is introduced unnecessarily. For there must be a particular theorem, deduced from the de- finition and easily capable of proof, namely, that if all points in a line are equidistant from one and the same point, the line is curved (no part of it straight). Analytic definitions, on the other hand, may err in many ways, either through introducing characteristics which do not really belong to the concept, or by lacking that completeness which is the essential feature of a definition. The latter defect is due to the fact that we can never be quite certain of the completeness of the analysis. For these reasons the mathematical method of definition does not admit of imitation in philosophy. 2. Axioms. -- These, in so far as they are immediately certain, are synthetic a priori principles. Now one concept cannot be combined with another synthetically and also at the same time immediately, since, to be able to pass beyond either concept, a third something is required to mediate our know- ledge. Accordingly, since philosophy is simply what reason knows by means of concepts, no principle deserving the name of an axiom is to be found in it. Mathematics, on the other hand, can have axioms, since by means of the construction of concepts in the intuition of the object it can combine the pre- dicates of the object both a priori and immediately, as, for instance, in the proposition that three points always lie in a plane. But a synthetic principle derived from concepts alone can never be immediately certain, for instance, the proposition that everything which happens has a cause. Here I must look round for a third something, namely, the condition of time- determination in an experience; I cannot obtain knowledge of such a principle directly and immediately from the concepts alone. Discursive principles are therefore quite different from intuitive principles, that is, from axioms; and always require a deduction. Axioms, on the other hand, require no such de- duction, and for the same reason are evident -- a claim which the philosophical principles can never advance, however great their certainty. Consequently, the synthetic propositions of pure, transcendental reason are, one and all, infinitely removed from being as evident -- which is yet so often arrogantly claimed on their behalf -- as the proposition that twice two make four. P 590 In the Analytic I have indeed introduced some axioms of in- tuition into the table of the principles of pure understanding; but the principle there applied is not itself an axiom, but serves only to specify the principle of the possibility of axioms in general, and is itself no more than a principle derived from concepts. For the possibility of mathematics must itself be demonstrated in transcendental philosophy. Philosophy has therefore no axioms, and may never prescribe its a priori principles in any such absolute manner, but must resign itself to establishing its authority in their regard by a thorough deduction. 3. Demonstrations. -- An apodeictic proof can be called a demonstration, only in so far as it is intuitive. Experience teaches us what is, but does not teach us that it could not be other than what it is. Consequently, no empirical grounds of proof can ever amount to apodeictic proof. Even from a - priori concepts, as employed in discursive knowledge, there can never arise intuitive certainty, that is, [demonstrative] evidence, however apodeictically certain the judgment may otherwise be. Mathematics alone, therefore, contains demon- strations, since it derives its knowledge not from concepts but from the construction of them, that is, from intuition, which can be given a priori in accordance with the concepts. Even the method of algebra with its equations, from which the correct answer, together with its proof, is deduced by re- duction, is not indeed geometrical in nature, but is still con- structive in a way characteristic of the science. The concepts attached to the symbols, especially concerning the relations of magnitudes, are presented in intuition; and this method, in addition to its heuristic advantages, secures all inferences against error by setting each one before our eyes. While philosophical knowledge must do without this advantage, inasmuch as it has always to consider the universal in abstracto (by means of concepts), mathematics can consider the universal in concreto (in the single intuition) and yet at the same time through pure a priori representation, whereby all errors are at once made evident. I should therefore prefer to P 591 call the first kind acroamatic (discursive) proofs, since they may be conducted by the agency of words alone (the object in thought), rather than demonstrations which, as the term itself indicates, proceed in and through the intuition of the object. From all this it follows that it is not in keeping with the nature of philosophy, especially in the field of pure reason, to take pride in a dogmatic procedure, and to deck itself out with the title and insignia of mathematics, to whose ranks it does not belong, though it has every ground to hope for a sisterly union with it. Such pretensions are idle claims which can never be satisfied, and indeed must divert philosophy from its true purpose, namely, to expose the illusions of a reason that forgets its limits, and by sufficiently clarifying our concepts to recall it from its presumptuous speculative pursuits to modest but thorough self-knowledge. Reason must not, therefore, in its transcendental endeavours, hasten forward with sanguine expectations, as though the path which it has traversed led directly to the goal, and as though the accepted premisses could be so securely relied upon that there can be no need of constantly returning to them and of considering whether we may not perhaps, in the course of the inferences, discover de- fects which have been overlooked in the principles, and which render it necessary either to determine these principles more fully or to change them entirely. I divide all apodeictic propositions, whether demonstrable or immediately certain, into dogmata and mathemata. A syn- thetic proposition directly derived from concepts is a dogma; a synthetic proposition, when directly obtained through the construction of concepts, is a mathema. Analytic judgments really teach us nothing more about the object than what the concept which we have of it already contains; they do not extend our knowledge beyond the concept of the object, but only clarify the concept. They cannot therefore rightly be called dogmas (a word which might perhaps be translated doctrines). Of the two kinds of synthetic a priori propositions only those belonging to philosophical knowledge can, accord- ing to the ordinary usage of words, be entitled dogmas; the propositions of arithmetic or geometry would hardly be so P 592 named. The customary use of words thus confirms our in- terpretation of the term, namely, that only judgments derived from concepts can be called dogmatic, not those based on the construction of concepts. Now in the whole domain of pure reason, in its merely speculative employment, there is not to be found a single synthetic judgment directly derived from concepts. For, as we have shown, ideas cannot form the basis of any objectively valid synthetic judgment. Through concepts of understanding pure reason does, indeed, establish secure principles, not how- ever directly from concepts alone, but always only indirectly through relation of these concepts to something altogether con- tingent, namely, possible experience. When such experience (that is, something as object of possible experiences) is pre- supposed, these principles are indeed apodeictically certain; but in themselves, directly, they can never be known a priori. Thus no one can acquire insight into the proposition that everything which happens has its cause, merely from the con- cepts involved. It is not, therefore, a dogma, although from another point of view, namely, from that of the sole field of its possible employment, that is, experience, it can be proved with complete apodeictic certainty. But though it needs proof, it should be entitled a principle, not a theorem, because it has the peculiar character that it makes possible the very experi- ence which is its own ground of proof, and that in this ex- perience it must always itself be presupposed. Now if in the speculative employment of pure reason there are no dogmas, to serve as its special subject-matter, all dogmatic methods, whether borrowed from the mathematician or specially invented, are as such inappropriate. For they only serve to conceal defects and errors, and to mislead philosophy, whose true purpose is to present every step of reason in the clearest light. Nevertheless its method can always be system- atic. For our reason is itself, subjectively, a system, though in its pure employment, by means of mere concepts, it is no more than a system whereby our investigations can be conducted in accordance with principles of unity, the material being pro- vided by experience alone. We cannot here discuss the method peculiar to transcendental philosophy; we are at present con- P 593 cerned only with a critical estimate of what may be expected from our faculties -- whether we are in a position to build at all; and to what height, with the material at our disposal (the pure a priori concepts), we may hope to carry the edifice. CHAPTER I Section 2 THE DISCIPLINE OF PURE REASON IN RESPECT OF ITS POLEMICAL EMPLOYMENT Reason must in all its undertakings subject itself to criti- cism; should it limit freedom of criticism by any prohibi- tions, it must harm itself, drawing upon itself a damaging suspicion. Nothing is so important through its usefulness, nothing so sacred, that it may be exempted from this search- ing examination, which knows no respect for persons. Reason depends on this freedom for its very existence. For reason has no dictatorial authority; its verdict is always simply the agreement of free citizens, of whom each one must be permitted to express, without let or hindrance, his objections or even his veto. But while reason can never refuse to submit to criticism, it does not always have cause to fear it. In its dogmatic (non- mathematical) employment it is not, indeed, so thoroughly conscious of such exact observation of its own supreme laws, as not to feel constrained to present itself with diffidence, nay, with entire renunciation of all assumed dogmatic authority, to the critical scrutiny of a higher judicial reason. The situation is, however, quite otherwise, when reason has to deal not with the verdict of a judge, but with the claims of a fellow-citizen, and against these has only to act in self- defence. For since these are intended to be just as dogmatic in denial as its own are in affirmation, it is able to justify itself kat' anthropon, in a manner which ensures it against all inter- ference, and provides it with a title to secure possession that need fear no outside claims, although kat' alytheian the title cannot itself be conclusively proved. By the polemical employment of pure reason I mean the P 594 defence of its propositions as against the dogmatic counter- propositions through which they are denied. Here the conten- tion is not that its own assertions may not, perhaps, be false, but only that no one can assert the opposite with apodeictic certainty, or even, indeed, with a greater degree of likelihood. We do not here hold our possessions upon sufferance; for although our title to them may not be satisfactory, it is yet quite certain that no one can ever be in a position to prove the illegality of the title. It is grievous, indeed, and disheartening, that there should be any such thing as an antithetic of pure reason, and that reason, which is the highest tribunal for all conflicts, should thus be at variance with itself. We had to deal, in a previous chapter, with such an antithetic; but it turned out to be only an apparent conflict, resting upon a misunderstanding. In ac- cordance with the common prejudice, it took appearances as being things in themselves, and then required an absolute completeness of their synthesis in the one mode or in the other (this being equally impossible in either way) -- a demand which is not at all permissible in respect of appearances. There was, therefore, no real self-contradiction of reason in the propound- ing of the two propositions, that the series of appearances given in themselves has an absolutely first beginning, and that this series is absolutely and in itself without any beginning. For the two propositions are quite consistent with each other, inas- much as appearances, in respect of their existence (as appear- ances), are in themselves nothing at all, that is, [so regarded] are something self-contradictory; for the assumption [that they do thus exist in themselves] must naturally lead to self- contradictory inferences. But there are other cases in which we cannot allege any such misunderstanding, and in which we cannot, therefore, dispose of the conflict of reason in the above manner -- when, for instance, it is asserted, on the one hand, theistically, that there is a supreme being, and on the other hand, atheistically, that there is no supreme being; or as in psychology, that every- thing which thinks is endowed with absolute and abiding unity and is therefore distinct from all transitory material unity, and, in opposition thereto, that the soul is not immaterial unity P 595 and cannot be exempt from transitoriness. For since in these cases the understanding has to deal only with things in them- selves and not with appearances, the object of such questions is free from any foreign element that is in contradiction with its nature. There would indeed be a real conflict, if pure reason had anything to say on the negative side which amounted to a positive ground for its negative contentions. For so far as concerns criticism of the grounds of proof offered by those who make dogmatic affirmations, the criticism can be freely admitted, without our having on that account to give up these affirmations, which have at least the interest of reason in their favour -- an interest to which the opposite party cannot appeal. I do not at all share the opinion which certain excel- lent and thoughtful men (such as Sulzer), in face of the weakness of the arguments hitherto employed, have so often been led to express, that we may hope sometime to discover conclusive demonstrations of the two cardinal propositions of our reason -- that there is a God, and that there is a future life. On the contrary, I am certain that this will never happen. For whence will reason obtain ground for such synthetic assertions, which do not relate to objects of experience and their inner possibility. But it is also apodeictically certain that there will never be anyone who will be able to assert the opposite with the least show [of proof], much less, dogmatically. For since he could prove this only through pure reason, he must undertake to prove that a supreme being, and the thinking subject in us [viewed] as pure intelligence, are impossible. But whence will he obtain the modes of knowledge which could justify him in thus judging synthetically in regard to things that lie beyond all possible experience. We may therefore be so com- pletely assured that no one will ever prove the opposite, that there is no need for us to concern ourselves with formal argu- ments. We are always in a position to accept these propositions -- propositions which are so very closely bound up with the speculative interest of our reason in its empirical employment, and which, moreover, are the sole means of reconciling the P 596 speculative with the practical interest. As against our opponent who must not be considered here as a critic only, we are equipped with our non liquet, which cannot fail to disconcert him. At the same time we do not mind his turning this argument upon ourselves, since we always have in reserve the subjective maxim of reason, which is necessarily lacking to our opponent, and under its protection can look upon all his vain attacks with a tranquil indifference. There is thus no real antithetic of pure reason. For the arena for such an antithetic would have to be located in the domain of pure theology and psychology; and in that domain no combatant can be adequately equipped, or have weapons that we need fear. Ridicule and boasting form his whole armoury, and these can be laughed at, as mere child's play. This is a comforting consideration, and affords reason fresh courage; for upon what could it rely, if, while it alone is called upon to remove all errors, it should yet be at variance with itself, and without hope of peace and quiet possession. Everything which nature has itself instituted is good for some purpose. Even poisons have their use. They serve to counteract other poisons generated in our bodily humours, and must have a place in every complete pharmacopoeia. The objections against the persuasions and complacency of our purely speculative reason arise from the very nature of reason itself, and must therefore have their own good use and purpose, which ought not to be disdained. Why has Providence placed many things which are closely bound up with our highest in- terests so far beyond our reach that we are only permitted to apprehend them in a manner lacking in clearness and subject to doubt -- in such fashion that our enquiring gaze is more ex- cited than satisfied? We may, indeed, be in doubt whether it serves any useful purpose, and whether it is not perhaps even harmful, to venture upon bold utterances in regard to such uncertain matters. But there can be no manner of doubt that it is always best to grant reason complete liberty, both of enquiry and of criticism, so that it may not be hindered in attending to its own proper interests. These interests are no less furthered by the limitation than by the extension of its speculations, and will always suffer when outside influences P 597 intervene to divert it from its proper path, and to constrain it by what is irrelevant to its own proper ends. Allow, therefore, your opponent to speak in the name of reason, and combat him only with weapons of reason. For the rest, have no anxiety as to the outcome in its bearing upon our practical interests, since in a merely speculative dispute they are never in any way affected. The conflict serves only to disclose a certain antinomy of reason which, inasmuch as it is due to the very nature of reason, must receive a hearing and be scrutinised. Reason is benefited by the consideration of its object from both sides, and its judgment is corrected in being thus limited. What is here in dispute is not the practical interests of reason but the mode of their presentation. For although we have to surrender the language of knowledge, we still have sufficient ground to employ, in the presence of the most exacting reason, the quite legitimate language of a firm faith. If we should ask the dispassionate David Hume, [by temperament] so peculiarly fitted for balanced judgment, what led him to undermine, through far-fetched subtleties so elaborately thought out, the conviction which is so com- forting and beneficial for mankind, that their reason has sufficient insight for the assertion and for the determinate conception of a supreme being, he would answer: 'Solely in order to advance reason in its self-knowledge, and because of a certain indignation at the violence that is done to reason by those who, while boasting of its powers, yet hinder it from candid admission of the weaknesses which have become ob- vious to it through its own self-examination'. If, on the other hand, we should ask Priestley, who was wholly devoted to the empirical employment of reason and out of sympathy with all transcendent speculation, what motives had induced him -- himself a pious and zealous teacher of religion -- to pull down two such pillars of all religion as the freedom and immortality of the soul (the hope of a future life is for him only the expecta- tion of the miracle of resurrection), he would not be able to give P 598 any other answer than that he was concerned for the interest of reason, which must suffer when we seek to exempt certain objects from the laws of material nature, the only laws which we can know and determine with exactitude. It would be unjust to decry the latter (who knew how to combine his para- doxical teaching with the interests of religion), and so to give pain to a well-intentioned man, simply because he is unable to find his bearings, having strayed outside the field of natural science. And the same favour must be accorded to the no less well disposed and in his moral character quite blameless Hume, when he insists upon the relevance, in this field, of his subtly thought-out speculations. For, as he rightly held, their object lies entirely outside the limits of natural science, in the domain of pure ideas. What, then, is to be done, especially in view of the danger which would thus seem to threaten the best interests of man- kind? Nothing is more natural, nothing is more reasonable, than the decision which we are hereby called upon to make. Leave such thinkers free to take their own line. If they exhibit talent, if they initiate new and profound enquiries, in a word, if they show reason, reason always stands to gain. If we resort to other means than those of untrammelled reason, if we raise the cry of high treason, and act as if we were summoning the vulgar to extinguish a conflagration -- the vulgar who have no under- standing of such subtle enquiries -- we make ourselves ridicu- lous. For the question at issue is not as to what, in these enquiries, is beneficial or detrimental to the best interests of mankind, but only how far reason can advance by means of speculation that abstracts from all interests, and whether such speculation can count for anything, or must not rather be given up in ex- change for the practical. Instead, therefore, of rushing into the fight, sword in hand, we should rather play the part of the peaceable onlooker, from the safe seat of the critic. The struggle is indeed toilsome to the combatants, but for us can be enter- taining; and its outcome -- certain to be quite bloodless -- must be of advantage as contributing to our theoretical insight. For it is indeed absurd to look to reason for enlightenment, and yet to prescribe beforehand which side she must necessarily favour. Besides, reason is already of itself so confined and held P 599 within limits by reason, that we have no need to call out the guard, with a view to bringing the civil power to bear upon that party whose alarming superiority may seem to us to be dangerous. In this dialectic no victory is gained that need give us cause for anxiety. Reason does indeed stand in sore need of such dialectical debate; and it is greatly to be wished that the debate had been instituted sooner and with unqualified public approval. For in that case criticism would sooner have reached a ripe maturity, and all these disputes would of necessity at once have come to an end, the opposing parties having learned to recognise the illusions and prejudices which have set them at variance. There is in human nature a certain disingenuousness, which, like everything that comes from nature, must finally contribute to good ends, namely, a disposition to conceal our real sentiments, and to make show of certain assumed senti- ments which are regarded as good and creditable. This tendency to conceal ourselves and to assume the appearance of what contributes to our advantage, has, undoubtedly, not only civilised us, but gradually, in a certain measure, moral- ised us. For so long as we were not in a position to see through the outward show of respectability, honesty, and modesty, we found in the seemingly genuine examples of goodness with which we were surrounded a school for self- improvement. But this disposition to represent ourselves as better than we are, and to give expression to sentiments which we do not share, serves as a merely provisional arrangement, to lead us from the state of savage rudeness, and to allow of our assuming at least the outward bearing of what we know to be good. But later, when true principles have been developed, and have become part of our way of thought, this duplicity must be more and more earnestly combated; otherwise it cor- rupts the heart, and checks the growth of good sentiments with the rank weeds of fair appearances. I am sorry to observe the same disingenuousness, mis- representation, and hypocrisy even in the utterances of specu- lative thought, where there are far fewer hindrances to our making, as is fitting, frank and unreserved admission of our thoughts, and no advantage whatsoever in acting otherwise. P 600 For what can be more prejudicial to the interests of knowledge than to communicate even our very thoughts in a falsified form, to conceal doubts which we feel in regard to our own assertions, or to give an appearance of conclusiveness to grounds of proofs which we ourselves recognise to be in- sufficient. So long as mere personal vanity is what breeds these secret devices -- and this is generally the case with those speculative judgments which concern no special interest and do not easily allow of apodeictic certainty -- it is counteracted, in the process of enlisting general acceptance, by the vanity of others; and thus in the end the result is the same as would have been obtained, though much sooner, by entirely sincere and honest procedure. When the common people are of opinion that those who indulge in subtle questionings aim at nothing less than to shake the very foundations of public welfare, it may, indeed, seem not only prudent but permissible, and in- deed even commendable, to further the good cause through so- phistical arguments rather than allow its supposed antagonists the advantage of having made us lower our tone to that of a merely practical conviction, and of having compelled us to admit our lack of speculative and apodeictic certainty. I cannot, however, but think that nothing is so entirely incom- patible with the purpose of maintaining a good cause as deceit, hipocrisy and fraud. Surely the least that can be demanded is that in a matter of pure speculation, when weighing the con- siderations cited by reason, we should proceed in an entirely sincere manner. If we could confidently count even upon this little, the conflict of speculative reason regarding the im- portant questions of God, the immortality of the soul, and freedom, would long ago have been decided, or would very soon be brought to a conclusion. Thus it often happens that purity of purpose is in inverse ratio to the goodness of the cause, and that candour and honesty are perhaps more likely to be found among its assailants than among its defenders. I shall therefore assume that I have readers who do not wish to see a righteous cause defended in an unrighteous manner; and that they will consequently take it as agreed, that, according to our principles of criticism, and having regard not to what commonly happens, but to what ought to happen, there can, properly speaking, be no polemic of pure reason. P 601 For how can two persons carry on a dispute about a thing the reality of which neither of them can present in actual or even in possible experience -- a dispute in which they brood over the mere idea of the thing, in order to extract from it something more than the idea, namely, the reality of the object itself? What means have they of ending the dispute, since neither of them can make his thesis genuinely comprehensible and certain, but only attack and refute that of his opponent? For this is the fate of all assertions of pure reason: that since they transcend the conditions of all possible experience, outside which the authen- tication of truth is in no wise possible, while at the same time they have to make use of the laws of the understanding -- laws which are adapted only for empirical employment, but without which no step can be taken in synthetic thought -- neither side can avoid exposing its weakness, and each can therefore take advantage of the weakness of the other. The critique of pure reason can be regarded as the true tribunal for all disputes of pure reason; for it is not involved in these disputes -- disputes which are immediately concerned with objects -- but is directed to the determining and esti- mating of the rights of reason in general, in accordance with the principles of their first institution. In the absence of this critique reason is, as it were, in the state of nature, and can establish and secure its assertions and claims only through war. The critique, on the other hand, arriving at all its decisions in the light of fundamental prin- ciples of its own institution, the authority of which no one can question, secures to us the peace of a legal order, in which our disputes have to be conducted solely by the recognised methods of legal action. In the former state, the disputes are ended by a victory to which both sides lay claim, and which is generally followed by a merely temporary armistice, arranged by some mediating authority; in the latter, by a judicial sentence which, as it strikes at the very root of the conflicts, effectively secures an eternal peace. The endless disputes of a merely dogmatic reason thus finally constrain us to seek relief in some critique of reason itself, and in a legislation based upon such criticism. As Hobbes maintains, the state of nature is a state of injustice and violence, and we have no option save to abandon it and submit ourselves to the constraint of law, which P 602 limits our freedom solely in order that it may be consistent with the freedom of others and with the common good of all. This freedom will carry with it the right to submit openly for discussion the thoughts and doubts with which we find our- selves unable to deal, and to do so without being decried as troublesome and dangerous citizens. This is one of the original rights of human reason, which recognises no other judge than that universal human reason in which everyone has his say. And since all improvement of which our state is capable must be ob- tained from this source, such a right is sacred and must not be curtailed. Indeed we are very ill-advised in decrying as danger- ous any bold assertions against, or audacious attacks upon, the view which already has on its side the approval of the largest and best portion of the community; in so doing we are ascribing to them an importance which they are not entitled to claim. Whenever I hear that a writer of real ability has demonstrated away the freedom of the human will, the hope of a future life, and the existence of God, I am eager to read the book, for I expect him by his talents to increase my insight into these matters. Already, before having opened it, I am perfectly certain that he has not justified any one of his specific claims; not because I believe that I am in possession of conclusive proofs of these important propositions, but because the transcendental critique, which has disclosed to me all the resources of our pure reason, has completely con- vinced me that, as reason is incompetent to arrive at affirmative assertions in this field, it is equally unable, indeed even less able, to establish any negative conclusion in regard to these questions. For from what source will the free thinker derive his professed knowledge that there is, for example, no supreme being? This proposition is outside the field of possible experi- ence, and therefore beyond the limits of all human insight. The reply of the dogmatic defender of the good cause I should not read at all. I know beforehand that he will attack the sophistical arguments of his opponent simply in order to gain acceptance for his own; and I also know that a quite familiar line of false argument does not yield so much material for new observations as one that is novel and ingeniously elaborated. P 603 The opponent of religion is indeed, in his own way, no less dogmatic, but he affords me a welcome opportunity of apply- ing and, in this or that respect, amending the principles of my Critique, while at the same time I need be in no fear of these principles being in the least degree endangered. But must not the young, at least, when entrusted to our academical teaching, be warned against such writings, and preserved from a premature knowledge of such dangerous propositions, until their faculty of judgment is mature, or rather until the doctrine which we seek to instil into them has taken such firm root, that they are able effectively to with- stand all persuasion to contrary views, from whatever quarter it may come? If we are to insist on holding to dogmatic procedure in matters of pure reason, and on disposing of our opponents in strictly polemical fashion, that is, by ourselves taking sides in the controversy, and therefore equipping ourselves with proofs in support of the opposite assertions, certainly this procedure would for the time being be the most expedient; but in the long run nothing would be more foolish and ineffective than to keep youthful reason thus for a period under tutelage. This will indeed guard the young temporarily against per- version. But when, later, either curiosity or the fashion of the age brings such writings under their notice, will their youthful conviction then stand the test? Whoever, in withstanding the attacks of his opponent, has at his disposal only dogmatic weapons, and is unable to develop the dialectic which lies concealed in his own breast no less than in that of his an- tagonist, [is in a dangerous position]. He sees sophistical arguments, which have the attraction of novelty, set in oppo- sition to sophistical arguments which no longer have that attraction, but, on the contrary, tend to arouse the suspicion that advantage has been taken of his youthful credulity. And accordingly he comes to believe that there can be no better way of showing that he has outgrown childish discipline than by casting aside these well-meant warnings; and accustomed as he is to dogmatism, he drinks deep draughts of the poison, which destroys his principles by a counter-dogmatism. In academic teaching we ought to pursue the course exactly opposite to that which is here recommended, pro- P 604 vided always that the teaching is based on thorough instruc- tion in the criticism of pure reason. For in order to bring the principles of this criticism into operation as soon as possible, and to show their sufficiency even when dialectical illusion is at its height, it is absolutely necessary that the attacks which seem so terrible to the dogmatist should be made to exercise their full force upon the pupil's reason, which though still weak has been enlightened through criticism, and that the pupil should thus be allowed the opportunity of testing for himself, one by one, by reference to the critical principles, how ground- less are the assertions of those who have launched these attacks. As it is by no means difficult for him to resolve these arguments into thin air, he early begins to feel his own capacity to secure himself against such injurious deceptions, which must finally lose for him all their illusory power. Those same blows which destroy the structures of the enemy must indeed be equally destructive to any speculative structure which he may per- chance himself wish to erect. This does not, however, in the least disturb him, since he has no need of any such shelter, being still in possession of good expectations in the practical sphere, where he may confidently hope to find firmer ground upon which to erect his own rational and beneficial system. There is, therefore, properly speaking, no polemic in the field of pure reason. Both parties beat the air, and wrestle with their own shadows, since they go beyond the limits of nature, where there is nothing that they can seize and hold with their dogmatic grasp. Fight as they may, the shadows which they cleave asunder grow together again forthwith, like the heroes in Valhalla, to disport themselves anew in the bloodless con- tests. But neither can we admit that there is any sceptical em- ployment of pure reason, such as might be entitled the prin- ciple of neutrality in all its disputes. To set reason at variance with itself, to supply it with weapons on both sides, and then to look on, quietly and scoffingly, at the fierce struggle, is not, from the dogmatic point of view, a seemly spectacle, but ap- pears to suggest a mischievous and malevolent disposition. If, however, we consider the invincible obstinacy and the boastfulness of those who argue dogmatically, and who refuse to allow their claims to be moderated by any criticism, there P 605 is really no other available course of action than to set against the boasting of the one side the no less justified boasting of the other, in the hope that the resistance thus offered to reason may at least serve to disconcert it, to awaken some doubts as to its pretensions, and to make it willing to give a hearing to criticism. But to allow ourselves simply to acquiesce in these doubts, and thereupon to set out to commend the conviction and admission of our ignorance not merely as a remedy against the complacency of the dogmatists, but likewise as the right method of putting an end to the conflict of reason with itself, is a futile procedure, and can never suffice to overcome the restlessness of reason. At best it is merely a means of awaken- ing it from its sweet dogmatic dreams, and of inducing it to enter upon a more careful examination of its own position. Since, however, the sceptical method of escaping from the troublesome affairs of reason appears to be, as it were, a short cut by which we can arrive at a permanent peace in philosophy, or [if it be not that], is at least the road favoured by those who would feign make show of having a philosophical justification for their contemptuous dislike of all enquiries of this kind, I consider it necessary to exhibit this way of thinking in its true light. The Impossibility of a Sceptical Satisfaction of Pure Reason in its Internal Conflicts The consciousness of my ignorance (unless at the same time this ignorance is recognised as being necessary), instead of ending my enquiries, ought rather to be itself the reason for entering upon them. All ignorance is either ignorance of things or ignorance of the function and limits of knowledge. If ignorance is only accidental, it must incite me, in the former regard to a dogmatic enquiry concerning things (objects), in the latter regard to a critical enquiry concerning the limits of my possible knowledge. But that my ignorance is absolutely necessary, and that I am therefore absolved from all further enquiry, cannot be established empirically, from observation, but only through an examination, critically conducted, of the primary sources of our knowledge. The determination of the limits of our reason cannot, therefore, be made save on a priori P 606 grounds; on the other hand, that limitation of it which con- sists merely in an indeterminate knowledge of an ignorance never to be completely removed, can be recognised a posteriori by reference to that which, notwithstanding all we know, still remains to be known. The former knowledge of our ignor- ance, which is possible only through criticism of reason itself, is science; the latter is nothing but perception, and we can- not say how far the inferences from perception may extend. If I represent the earth as it appears to my senses, as a flat surface, with a circular horizon, I cannot know how far it extends. But experience teaches me that wherever I may go, I always see a space around me in which I could proceed further; and thus I know the limits of my actual knowledge of the earth at any given time, but not the limits of all possible geography. But if I have got so far as to know that the earth is a sphere and that its surface is spherical, I am able even from a small part of it, for instance, from the magnitude of a degree, to know determinately, in accordance with principles a priori, the diameter, and through it the total superficial area of the earth; and although I am ignorant of the objects which this surface may contain, I yet have knowledge in respect of its circuit, magnitude, and limits. The sum of all the possible objects of our knowledge ap- pears to us to be a plane, with an apparent horizon -- namely, that which in its sweep comprehends it all, and which has been entitled by us the idea of unconditioned totality. To reach this concept empirically is impossible, and all attempts to determine it a priori in accordance with an assured principle have proved vain. None the less all the questions raised by our pure reason are as to what may be outside the horizon, or, it may be, on its boundary line. The celebrated David Hume was one of those geographers of human reason who have imagined that they have sufficiently disposed of all such questions by setting them outside the hori- zon of human reason -- a horizon which yet he was not able to determine. Hume dwelt in particular upon the principle of causality, and quite rightly observed that its truth, and even the objective validity of the concept of efficient cause in P 607 general, is based on no insight, that is, on no a priori know- ledge, and that its authority cannot therefore be ascribed to its necessity, but merely to its general utility in the course of experience, and to a certain subjective necessity which it thereby acquires, and which he entitles custom. From the incapacity of our reason to make use of this principle in any manner that transcends experience, he inferred the nullity of all pretensions of reason to advance beyond the empirical. A procedure of this kind -- subjecting the facts of reason to examination, and if necessary to blame -- may be entitled the censorship of reason. This censorship must certainly lead to doubt regarding all transcendent employment of principles. But this is only the second step, and does not by any means complete the work of enquiry. The first step in matters of pure reason, marking its infancy, is dogmatic. The second step is sceptical; and indicates that experience has rendered our judg- ment wiser and more circumspect. But a third step, such as can be taken only by fully matured judgment, based on as- sured principles of proved universality, is now necessary, namely, to subject to examination, not the facts of reason, but reason itself, in the whole extent of its powers, and as regards its aptitude for pure a priori modes of knowledge. This is not the censorship but the criticism of reason, whereby not its present bounds but its determinate [and necessary] limits, not its ignorance on this or that point but its ignorance in regard to all possible questions of a certain kind, are demon- strated from principles, and not merely arrived at by way of conjecture. Scepticism is thus a resting-place for human reason, where it can reflect upon its dogmatic wanderings and make survey of the region in which it finds itself, so that for the future it may be able to choose its path with more certainty. But it is no dwelling-place for permanent settlement. Such can be obtained only through perfect certainty in our knowledge, alike of the objects themselves and of the limits within which all our knowledge of objects is enclosed. Our reason is not like a plane indefinitely far extended, the limits of which we know in a general way only; but must rather be compared to a sphere, the radius of which can be determined from the curvature of the arc of its surface -- that P 608 is to say, from the nature of synthetic a priori propositions -- and whereby we can likewise specify with certainty its volume and its limits. Outside this sphere (the field of experi- ence) there is nothing that can be an object for reason; nay, the very questions in regard to such supposed objects relate only to subjective principles of a complete determination of those relations which can come under the concepts of the under- standing and which can be found within the empirical sphere. We are actually in possession of a priori synthetic modes of knowledge, as is shown by the principles of understanding which anticipate experience. If anyone is quite unable to comprehend the possibility of these principles, he may at first be inclined to doubt whether they actually dwell in us a - priori; but he cannot on this account declare that they are beyond the powers of the understanding, and so represent all the steps which reason takes under their guidance as being null and void. All that he can say is that if we could have insight into their origin and authenticity, we should be able to determine the scope and limits of our reason, but that until we can have such insight any assertions as to the limits of reason are made at random. And on this ground a general doubt regarding all dogmatic philosophy, proceeding as such philosophy does with- out criticism of reason itself, is entirely justified; but we cannot therefore altogether deny to reason the right to take such for- ward steps, once we have prepared and secured the way for them by a more thorough preparation of the ground. For all the concepts, nay, all the questions, which pure reason presents to us, have their source not in experience, but exclusively in reason itself, and must therefore allow of solution and of being determined in regard to their validity or invalidity. We have no right to ignore these problems, as if their solution really de- pended on the nature of things, and as if we might therefore, on the plea of our incapacity, decline to occupy ourselves with their further investigation; for since reason is the sole begetter of these ideas, it is under obligation to give an account of their validity or of their illusory, dialectical nature. All sceptical polemic should properly be directed only against the dogmatist, who, without any misgivings as to his fundamental objective principles, that is, without criticism, P 609 proceeds complacently upon his adopted path; it should be designed simply to put him out of countenance and thus to bring him to self-knowledge. In itself, however, this polemic is of no avail whatsoever in enabling us to decide what it is that we can and what it is that we cannot know. All unsuccess- ful dogmatic attempts of reason are facts, and it is always of advantage to submit them to the censorship of the sceptic. But this can decide nothing regarding those expectations of reason which lead it to hope for better success in its future attempts, and to build claims on this foundation; and con- sequently no mere censorship can put an end to the dispute regarding the rights of human reason. Hume is perhaps the most ingenious of all the sceptics, and beyond all question is without rival in respect of the influence which the sceptical procedure can exercise in awakening reason to a thorough self-examination. It will therefore well repay us to make clear to ourselves, so far as may be relevant to our purpose, the course of the reasoning, and the errors, of so acute and estimable a man -- a course of reasoning which at the start was certainly on the track of truth. Hume was perhaps aware, although he never followed the matter out, that in judgments of a certain kind we pass beyond our concept of the object. I have entitled this kind of judg- ments synthetic. There is no difficulty as to how, by means of experience, I can pass beyond the concept which I previously have. Experience is in itself a synthesis of perceptions, whereby the concept which I have obtained by means of a perception is increased through the addition of other per- ceptions. But we suppose ourselves to be able to pass a priori beyond our concept, and so to extend our knowledge. This we attempt to do either through the pure understanding, in respect of that which is at least capable of being an object of experi- ence, or through pure reason, in respect of such properties of things, or indeed even of the existence of such things, as can never be met with in experience. Our sceptical philosopher did not distinguish these two kinds of judgments, as he yet ought to have done, but straightway proceeded to treat this self- increment of concepts, and, as we may say, this spontaneous generation on the part of our understanding and of our reason, P 610 without impregnation by experience, as being impossible. He therefore regarded all the supposed a priori principles of these faculties as fictitious, and concluded that they are nothing but a custom-bred habit arising from experience and its laws, and are consequently merely empirical, that is, rules that are in themselves contingent, and to which we ascribe a supposititious necessity and universality. In support of his assertion of this startling thesis, he cited the universally recognised principle of the relation between cause and effect. For since no faculty of understanding can carry us from the concept of a thing to the existence of something else that is thereby universally and necessarily given, he believed that he was therefore in a position to conclude that in the absence of experience we have nothing that can increase our concept and justify us in propounding a judgment which thus enlarges itself a priori. That sunlight should melt wax and yet also harden clay, no understanding, he pointed out, can discover from the concepts which we previously possessed of these things, much less infer them according to a law. Only experi- ence is able to teach us such a law. But, as we have discovered in the Transcendental Logic, although we can never pass immediately beyond the content of the concept which is given us, we are nevertheless able, in relation to a third thing, namely, possible experience, to know the law of its connection with other things, and to do so in an a priori manner. If, therefore, wax, which was formerly hard, melts, I can know a priori that something must have preceded, ([that something being] for instance [in this case] the heat of the sun), upon which the melting has followed according to a fixed law, although a priori, independently of experience, I could not determine, in any specific manner, either the cause from the effect, or the effect from the cause. Hume was therefore in error in inferring from the contingency of our determination in accordance with the law the contingency of the law itself. The passing be- yond the concept of a thing to possible experience (which takes place a priori and constitutes the objective reality of the concept) he confounded with the synthesis of the objects of actual experience, which is always empirical. He thus con- founds a principle of affinity, which has its seat in the under- standing and affirms necessary connection, with a rule of P 611 association, which exists only in the imitative faculty of im- agination, and which can exhibit only contingent, not objective connections. The sceptical errors of this otherwise singularly acute thinker arose chiefly from a defect which he shares in common with all dogmatists, namely, that he did not make a system- atic review of all the various kinds of a priori synthesis as- cribable to the understanding. For he would then have found, to mention only one of many possible examples, that the prin- ciple of permanence is a principle of this character, and that, like the principle of causality, it anticipates experience. He would thus have been able to prescribe determinate limits to the activities whereby the understanding and pure reason extend themselves a priori. Instead of so doing, he merely restricts the understanding, without defining its limits, and while creating a general mistrust fails to supply any deter- minate knowledge of the ignorance which for us is un- avoidable. For while subjecting to censorship certain prin- ciples of the understanding, he makes no attempt to assess the understanding itself, in respect of all its powers, by the assay-balance of criticism; while rightly denying to the understanding what it cannot really supply, he goes on to deny it all power of extending itself a priori, and this in spite of his never having tested it as a whole. Thus the fate that waits upon all scepticism likewise befalls Hume, namely, that his own sceptical teaching comes to be doubted, as being based only on facts which are contingent, not on principles which can constrain to a necessary renunciation of all right to dogmatic assertions. Further, he draws no distinction between the well- grounded claims of the understanding and the dialectical pretensions of reason, though it is indeed chiefly against the latter that his attacks are directed. Accordingly that peculiarly characteristic ardour with which reason insists upon giving free rein to itself, has not in the least been disturbed but only temporarily impeded. It does not feel that it has been shut out from the field in which it is wont to disport itself; and so, in spite of its being thwarted in this and that direc- tion, it cannot be made entirely to desist from these ventures. On the contrary, the attacks lead only to counter-preparations, P 612 and make us the more obstinate in insisting upon our own views. But a complete review of all the powers of reason -- and the conviction thereby obtained of the certainty of its claims to a modest territory, as also of the vanity of higher pretensions -- puts an end to the conflict, and induces it to rest satisfied with a limited but undisputed patrimony. To the uncritical dogmatist, who has not surveyed the sphere of his understanding, and therefore has not determined, in accordance with principles, the limits of his possible know- ledge, these sceptical attacks are not only dangerous but even destructive. For he does not know beforehand how far his powers extend, and indeed believes that their limits can be determined by the simple method of trial and failure. In con- sequence of this, if on being attacked there is a single one of his assertions that he is unable to justify, or which involves illusion for which he also cannot account in terms of any principles, suspicion falls on all his contentions, however plausible they may appear. The sceptic is thus the taskmaster who constrains the dog- matic reasoner to develop a sound critique of the understand- ing and reason. When we have advanced thus far, we need fear no further challenge, since we have learned to distinguish our real possessions from that which lies entirely outside them; and as we make no claims in regard to this latter domain, we cannot become involved in any dispute in respect to it. While, therefore, the sceptical procedure cannot of itself yield any satisfying answer to the questions of reason, none the less it prepares the way by arousing reason to circumspection, and by indicating the radical measures which are adequate to secure it in its legitimate possessions. CHAPTER I Section 3 THE DISCIPLINE OF PURE REASON IN REGARD TO HYPOTHESES Since criticism of our reason has at last taught us that we cannot by means of its pure and speculative employment arrive at any knowledge whatsoever, may it not seem that a P 613 proportionately wider field is opened for hypotheses? For are we not at liberty, where we cannot make assertions, at least to invent theories and to have opinions? If the imagination is not simply to be visionary, but is to be inventive under the strict surveillance of reason, there must always previously be something that is completely certain, and not invented or merely a matter of opinion, namely, the possibility of the object itself. Once that is established, it is then permissible to have recourse to opinion in regard to its actuality; but this opinion, if it is not to be groundless, must be brought into connection with what is actually given and so far certain, as serving to account for what is thus given. Then, and only then, can the supposition be entitled an hypothesis. As we cannot form the least conception a priori of the possibility of dynamical connection, and as the categories of the pure understanding do not suffice for devising any such conception, but only for apprehending it when met with in experience, we cannot, in accordance with these categories, creatively imagine any object in terms of any new quality that does not allow of being given in experience; and we cannot, therefore, make use of such an object in any legiti- mate hypothesis; otherwise we should be resting reason on empty figments of the brain, and not on concepts of things. Thus it is not permissible to invent any new original powers, as, for instance, an understanding capable of intuiting its objects without the aid of senses; or a force of attraction with- out any contact; or a new kind of substance existing in space and yet not impenetrable. Nor is it legitimate to postulate a form of communion of substances which is different from any revealed in experience, a presence that is not spatial, a duration that is not temporal. In a word, our reason can employ as conditions of the possibility of things only the conditions of possible experience; it can never proceed to form concepts of things quite independently of these con- ditions. Such concepts, though not self-contradictory, would be without an object. P 614 The concepts of reason are, as we have said, mere ideas, and have no object that can be met with in any experience. None the less they do not on this account signify objects that having been invented are thereupon assumed to be possible. They are thought only problematically, in order that upon them (as heuristic fictions), we may base regu- lative principles of the systematic employment of the under- standing in the field of experience. Save in this connection they are merely thought-entities, the possibility of which is not demonstrable, and which therefore do not allow of being employed, in the character of hypotheses, in explanation of the actual appearances. It is quite permissible to think the soul as simple, in order, in conformity with this idea, to employ as the principle of our interpretation of its inner appearances a complete and necessary unity of all its faculties; and this in spite of the fact that this unity is such as can never be appre- hended in concreto. But to assume the soul as a simple sub- stance (a transcendent concept), would be [to propound] a proposition which is not only indemonstrable -- as is the case with many physical hypotheses -- but is hazarded in a quite blind and arbitrary fashion. For the simple can never be met with in any experience whatsoever; and if by substance be here meant the permanent object of sensible intuition, the possibility of a simple appearance is quite incomprehensible. Reason does not afford any sufficient ground for assuming, [even] as a matter of opinion, merely intelligible beings, or merely intelligible properties of things belonging to the sen- sible world, although (as we have no concepts of their pos- sibility or impossibility) we also cannot lay claim to any insight that justifies us in dogmatically denying them. In the explanation of given appearances, no things or grounds of explanation can be adduced other than those which have been found to stand in connection with given appearances in accordance with the already known laws of the appearances. A transcendental hypothesis, in which a mere idea of reason is used in explanation of natural existences would really be no explanation; so to proceed would be to explain something, which in terms of known empirical prin- ciples we do not understand sufficiently, by something which P 615 we do not understand at all. Moreover, the principle of such an hypothesis would at most serve only for the satisfaction of reason, not for the furtherance of the employment of the understanding in respect of objects. Order and purposiveness in nature must themselves be explained from natural grounds and according to natural laws; and the wildest hypotheses, if only they are physical, are here more tolerable than a hyper- physical hypothesis, such as the appeal to a divine Author, assumed simply in order that we may have an explanation. That would be a principle of ignava ratio; for we should be passing over all causes the objective reality of which, at least as regards their possibility, can be ascertained in the course of experience, in order to rest in a mere idea -- an idea that is very comforting to reason. As regards the absolute totality of the ground of explanation of the series of these causes, such totality need suggest no difficulty in respect of natural exist- ences; since these existences are nothing but appearances, we need never look to them for any kind of completeness in the synthesis of the series of conditions. It can never be permissible, in the speculative employment of reason, to resort to transcendental hypotheses, and to pre- sume that we can make good the lack of physical grounds of explanation by appealing to the hyperphysical. The objection to such procedure is twofold: partly, that reason, so far from being in the least advanced thereby, is cut off from all progress in its own employment; partly, that this license would in the end deprive reason of all the fruits that spring from the cul- tivation of its own proper domain, namely, that of experience. For whenever the explanation of natural existences is found to be difficult, there is always at hand a transcendental ground of explanation which relieves us from further investigation, and our enquiry is brought to an end not through insight, but by the aid of a principle which while utterly incomprehensible has from the start been so constructed as necessarily to con- tain the concept of what is absolutely primordial. The second requirement for the admissibility of an hypo- thesis is its adequacy in accounting a priori for those con- sequences which are [de facto] given. If for this purpose we have to call in auxiliary hypotheses, they give rise to the sus- P 616 picion that they are mere fictions; for each of them requires the same justification as is necessary in the case of the fundamental hypothesis, and they are not, therefore, in a position to bear reliable testimony. If we assume an absolutely perfect cause, we need not be at a loss in explaining the purposiveness, order, and vastness which are displayed in the world; but in view of what, judged at least by our concepts, are the obvious devia- tions and evils, other new hypotheses are required in order to uphold the original hypothesis in face of the objections which these suggest. If the simple self-sufficiency of the human soul has been employed to account for its appearances, it is contro- verted by certain difficulties, due to those phenomena which are similar to the changes that take place in matter (growth and decay), and we have therefore to seek the aid of new hypotheses, which are not indeed without plausibility, but which yet have no credentials save what is conferred upon them by that opinion -- the fundamental hypothesis -- which they have themselves been called in to support. If the instances here cited as examples of the assertions made by reason -- the incorporeal unity of the soul and the existence of a supreme being -- are propounded not as hypo- theses, but as dogmas proved a priori, I am not at present concerned with them, save to remark that in that case care must be taken that the proof has the apodeictic certainty of a demonstration. For to set out to show no more than that the reality of such ideas is probable is as absurd as to think of proving a proposition of geometry merely as a probability. Reason, when employed apart from all experience, can know propositions entirely a priori, and as necessary, or it can know nothing at all. Its judgments, therefore, are never opinions; either it must abstain from all judgment, or must affirm with apodeictic certainty. Opinions and probable judgments as to what belongs to things can be propounded only in explana- tion of what is actually given, or as consequences that follow in accordance with empirical laws from what underlies the actually given. They are therefore concerned only with the series of the objects of experience. Outside this field, to form opinions is merely to play with thoughts. For we should then have to presuppose yet another opinion -- the opinion that we may perhaps arrive at the truth by a road that is uncertain. P 617 But although, in dealing with the merely speculative ques- tions of pure reason, hypotheses are not available for the purposes of basing propositions upon them, they are yet entirely permissible for the purposes of defending propositions; that is to say, they may not be employed in any dogmatic, but only in polemical fashion. By the defence of propositions I do not mean the addition of fresh grounds for their assertion, but merely the nullifying of the sophistical arguments by which our opponent professes to invalidate this assertion. Now all synthetic propositions of pure reason have this peculiarity, that while in asserting the reality of this or that idea we can never have knowledge sufficient to give certainty to our proposition, our opponent is just as little able to assert the opposite. This equality of fortune [in the ventures] of human reason does not, in speculative modes of knowledge, favour either of the two parties, and it is consequently the fitting battle-ground for their never-ending feuds. But as will be shown, reason has, in respect of its practical employment, the right to postulate what in the field of mere speculation it can have no kind of right to assume without sufficient proof. For while all such assump- tions do violence to [the principle of] completeness of specu- lation, that is a principle with which the practical interest is not at all concerned. In the practical sphere reason has rights of possession, of which it does not require to offer proof, and of which, in fact, it could not supply proof. The burden of proof accordingly rests upon the opponent. But since the latter knows just as little of the object under question, in trying to prove its non-existence, as does the former in maintaining its reality, it is evident that the former, who is asserting something as a practically necessary supposition, is at an advantage (melior est conditio possidentis). For he is at liberty to employ, as it were in self-defence, on behalf of his own good cause, the very same weapons that his opponent employs against that cause, that is, hypotheses. These are not intended to strengthen the proof of his position, but only to show that the opposing party has much too little understanding of the matter in dispute to allow of his flattering himself that he has the advantage in respect of speculative insight. Hypotheses are therefore, in the domain of pure reason, permissible only as weapons of war, and only for the purpose P 618 of defending a right, not in order to establish it. But the oppos- ing party we must always look for in ourselves. For specula- tive reason in its transcendental employment is in itself dialectical; the objections which we have to fear lie in our- selves. We must seek them out, just as we would do in the case of claims that, while old, have never become superannu- ated, in order that by annulling them we may establish a permanent peace. External quiescence is merely specious. The root of these disturbances, which lies deep in the nature of human reason, must be removed. But how can we do so, unless we give it freedom, nay, nourishment, to send out shoots so that it may discover itself to our eyes, and that it may then be entirely destroyed? We must, therefore, bethink ourselves of objections which have never yet occurred to any opponent, and indeed lend him our weapons, and grant him the most favourable position which he could possibly desire. We have nothing to fear in all this, but much to hope for; namely, that we may gain for ourselves a possession which can never again be contested. Thus for our complete equipment we require among other things the hypotheses of pure reason. For although they are but leaden weapons, since they are not steeled by any law of ex- perience, they are yet as effective as those which our opponents can employ against us. If, therefore, having assumed (in some non-speculative connection) the nature of the soul to be im- material and not subject to any corporeal change, we are met by the difficulty that nevertheless experience seems to prove that the exaltation and the derangement of our mental powers are alike in being merely diverse modifications of our organs, we can weaken the force of this proof by postulating that our body may be nothing more than a fundamental appearance which in this our present state (in this life) serves as a condition of our whole faculty of sensibility, and therewith of all our thought, and that separation from the body may therefore be regarded as the end of this sensible employment of our faculty of knowledge and the beginning of its intellectual employment. Thus regarded, the body would not be the cause of thought, but merely a restrictive condition of it, and there- fore, while indeed furthering the sensible and animal life, it would because of this very fact have to be considered a hind- P 619 rance to the pure and spiritual life. The dependence of the animal and sensible upon the bodily constitution would then in nowise prove the dependence of our entire life upon the state of our organs. We might go yet further, and discover quite new objections, which either have never been suggested or have never been sufficiently developed. Generation, in man as in non-rational creatures, is de- pendent upon opportunity, often indeed upon sufficiency of food, upon the moods and caprices of rulers, nay, even upon vice. And this makes it very difficult to suppose that a creature whose life has its first beginning in circumstances so trivial and so entirely dependent upon our own choice, should have an existence that extends to all eternity. As regards the con- tinuance (here on earth) of the species as a whole, this diffi- culty is negligible, since accident in the individual case is still subject to a general law, but as regards each individual it certainly seems highly questionable to expect so potent an effect from causes so insignificant. But to meet these objec- tions we can propound a transcendental hypothesis, namely, that all life is, strictly speaking, intelligible only, is not sub- ject to changes of time, and neither begins in birth nor ends in death; that this life is an appearance only, that is, a sen- sible representation of the purely spiritual life, and that the whole sensible world is a mere picture which in our present mode of knowledge hovers before us, and like a dream has in itself no objective reality; that if we could intuit our- selves and things as they are, we should see ourselves in a world of spiritual beings, our sole and true community with which has not begun through birth and will not cease through bodily death -- both birth and death being mere appearances. Now of all this we have not the least knowledge. We plead it only in hypothetical fashion, to meet the attack; we are not actually asserting it. For it is not even an idea of reason, but is a concept devised merely for the purposes of self-defence. None the less we are here proceeding in entire conformity with reason. Our opponent falsely represents the absence of empirical conditions as itself amounting to proof of the total P 620 impossibility of our belief, and is therefore proceeding on the assumption that he has exhausted all the possibilities. What we are doing is merely to show that it is just as little possible for him to comprehend the whole field of possible things through mere laws of experience as it is for us to reach, outside experience, any conclusions justifiable for our reason. Anyone who employs such hypothetical means of defence against the rash and presumptuous negations of his opponent must not be considered to intend the adoption of these opinions as his own; he abandons them, as soon as he has disposed of the dogmatic pretensions of his opponent. For though a merely negative attitude to the assertions of others may seem very modest and moderate, to proceed to represent the objections to an assertion as proofs of the counter-asser- tion is to make claims no less presumptuous and visionary than if the positive position and its affirmations had been adopted. It is evident, therefore, that in the speculative employment of reason hypotheses, regarded as opinions, have no validity in themselves, but only relatively to the transcendent pre- tensions of the opposite party. For to make principles of pos- sible experience conditions of the possibility of things in general is just as transcendent a procedure as to assert the objective reality of [transcendent] concepts, the objects of which can- not be found anywhere save outside the limits of all possible experience. What pure reason judges assertorically, must (like everything that reason knows) be necessary; otherwise nothing at all is asserted. Accordingly, pure reason does not, in point of fact, contain any opinions whatsoever. The hypotheses, above referred to, are merely problematic judg- ments, which at least cannot be refuted, although they do not indeed allow of any proof. They are therefore nothing but private opinions. Nevertheless, we cannot properly dis- pense with them as weapons against the misgivings which are apt to occur; they are necessary even to secure our inner tranquillity. We must preserve to them this character, care- fully guarding against the assumption of their independent authority or absolute validity, since otherwise they would drown reason in fictions and delusions. P 621 CHAPTER I Section 4 THE DISCIPLINE OF PURE REASON IN REGARD TO ITS PROOFS What distinguishes the proofs of transcendental synthetic propositions from all other proofs which yield an a priori synthetic knowledge is that, in the case of the former, reason may not apply itself, by means of its concepts, directly to the object, but must first establish the objective validity of the concepts and the possibility of their a priori synthesis. This rule is not made necessary merely by considerations of prud- ence, but is essential to the very possibility of the proofs them- selves. If I am to pass a priori beyond the concept of an object, I can do so only with the help of some special guidance, supplied from outside this concept. In mathematics it is a - priori intuition which guides my synthesis; and thereby all our conclusions can be drawn immediately from pure intuition. In transcendental knowledge, so long as we are concerned only with concepts of the understanding, our guide is the possibility of experience. Such proof does not show that the given concept (for instance, of that which happens) leads directly to another concept (that of a cause); for such a transi- tion would be a saltus which could not be justified. The proof proceeds by showing that experience itself, and therefore the object of experience, would be impossible without a connec- tion of this kind. Accordingly, the proof must also at the same time show the possibility of arriving synthetically and a priori at some knowledge of things which was not contained in the concepts of them. Unless this requirement be met, the proofs, like streams which break their banks, run wildly at random, whithersoever the current of hidden association may chance to lead them. The semblance of con- viction which rests upon subjective causes of association, and which is regarded as insight into a natural affinity, can- not balance the misgivings to which so hazardous a course must rightly give rise. On this account, all attempts to prove the principle of sufficient reason have, by the universal ad- P 622 mission of those concerned, been fruitless; and prior to our own transcendental criticism it was considered better, since that principle could not be surrendered, boldly to appeal to the common sense of mankind -- an expedient which always is a sign that the cause of reason is in desperate straits -- rather than to attempt new dogmatic proofs. But if the proposition to be proved is an assertion of pure reason, and if I am therefore proposing to pass beyond my em- pirical concepts by means of mere ideas, justification of such a step in synthesis (supposing it to be possible) is all the more necessary as a precondition of any attempt to prove the proposi- tion itself. However plausible the alleged proof of the simple nature of our thinking substance, derived from the unity of apperception, may be, it is faced by the unavoidable difficulty, that since the [notion of] absolute simplicity is not a concept which can be immediately related to a perception, but, as an idea, would have to be inferred, there can be no understanding how the bare consciousness (which is, or at least can be, contained in all thought), though it is indeed so far a simple representation, should conduct us to the consciousness and the knowledge of a thing in which thought alone can be contained. If I represent to myself the power of a body in motion, it is so far for me absolute unity, and my representation of it is simple; and I can therefore express this representation by the motion of a point -- for the volume of the body is not here a relevant consideration, and can be thought, without diminution of the moving power, as small as we please, and therefore even as existing in a point. But I may not therefore conclude that if nothing be given to me but the moving power of a body, the body can be thought as simple substance -- merely because its representation abstracts from the magnitude of its volume and is consequently simple. The simple arrived at by abstrac- tion is entirely different from the simple as an object; though the 'I', taken in abstraction, can contain in itself no manifold, in its other meaning, as signifying the soul itself, it can be a highly complex concept, as containing under itself, and as denoting, what is very composite. I thus detect in these arguments a paralogism. But in order to be armed against this P 623 paralogism (for without some forewarning we should not entertain any suspicion in regard to the proof), it is indis- pensably necessary to have constantly at hand a criterion of the possibility of those synthetic propositions which are in- tended to prove more than experience yields. This criterion consists in the requirement that proof should not proceed directly to the desired predicate but only by means of a prin- ciple that will demonstrate the possibility of extending our given concept in an a priori manner to ideas, and of realising the latter. If this precaution be always observed, if before attempting any proof, we discreetly take thought as to how, and with what ground for hope, we may expect such an extension through pure reason, and whence, in such a case, this insight, which is not developed from concepts, and also cannot be anticipated in reference to any possible ex- perience, is yet to be derived, we can by so doing spare our- selves much difficult and yet fruitless labour, not expecting from reason what obviously exceeds its power -- or rather, since reason, when obsessed by passionate desire for the speculative enlargement of its domain, is not easily to be restrained, by subjecting it to the discipline of self-control. The first rule is, therefore, not to attempt any tran- scendental proofs until we have considered, with a view to obtaining justification for them, from what source we propose to derive the principles on which the proofs are to be based, and with what right we may expect success in our inferences. If they are principles of the understanding (for instance, that of causality), it is useless to attempt, by means of them, to attain to ideas of pure reason; such principles are valid only for objects of possible experience. If they are principles of pure reason, it is again labour lost. Reason has indeed principles of its own; but regarded as objective principles, they are one and all dialectical, and can have no validity save as regulative principles for its employment in experience, with a view to making experience systematically coherent. But if such pro- fessed proofs are propounded, we must meet their deceptive power of persuasion with the non liquet of our matured judgment; and although we may not be able to detect the illusion involved, we are yet entirely within our rights in demanding a deduction of the principles employed in them; P 624 and if these principles have their source in reason alone, the demand is one which can never be met. And there is thus no need for us to concern ourselves with the particular nature and with the refutation of each and every ground- less illusion; at the tribunal of a critical reason, which insists upon laws, this entire dialectic, so inexhaustible in its artifices, can be disposed of in bulk. The second peculiarity of transcendental proofs is that only one proof can be found for each transcendental proposi- tion. If I am inferring not from concepts but from the intuition which corresponds to a concept, be it a pure intuition as in mathematics, or an empirical intuition as in natural science, the intuition which serves as the basis of the inference supplies me with manifold material for synthetic propositions, material which I can connect in more than one way, so that, as it is permissible for me to start from more than one point, I can arrive at the same proposition by different paths. In the case of transcendental propositions, however, we start always from one concept only, and assert the synthetic condition of the possibility of the object in accordance with this concept. Since outside this concept there is nothing further through which the object could be determined, there can therefore be only one ground of proof. The proof can contain nothing more than the determination of an object in general in accordance with this one single concept. In the Transcendental Analytic, for instance, we derived the prin- ciple that everything which happens has a cause, from the condition under which alone a concept of happening in general is objectively possible -- namely, by showing that the determina- tion of an event in time, and therefore the event as belonging to experience, would be impossible save as standing under such a dynamical rule. This is the sole possible ground of proof; for the event, in being represented, has objective validity, that is, truth, only in so far as an object is determined for the concept by means of the law of causality. Other proofs of this principle have, indeed, been attempted, for instance, from the con- tingency [of that which happens]. But on examining this argument, we can discover no mark of contingency save only the happening, that is, the existence of the object preceded by its non-existence, and thus are brought back to the same P 625 ground of proof as before. Similarly, if the proposition, that everything which thinks is simple, is to be proved, we leave out of account the manifold of thought, and hold only to the concept of the 'I', which is simple and to which all thought is related. The same is true of the transcendental proof of the existence of God; it is based solely on the coincidence of the concepts of the most real being and of necessary being, and is not to be looked for anywhere else. This caution reduces the criticism of the assertions of reason to very small compass. When reason is conducting its business through concepts only, there is but one possible proof, if, that is to say, there be any possible proof at all. If, therefore, we observe the dogmatist coming forward with ten proofs, we can be quite sure that he really has none. For had he one that yielded -- as must always be required in matters of pure reason -- apodeictic proof, what need would he have of the others? His purpose can only be that of the parliamentary advocate, who intends his various arguments for different groups, in order to take advantage of the weakness of those before whom he is pleading -- hearers who, without entering deeply into the matter, desire to be soon quit of it, and there- fore seize upon whatever may first happen to attract their at- tention, and decide accordingly. The third rule peculiar to pure reason, in so far as it is to be subjected to a discipline in respect of transcendental proofs, is that its proofs must never be apagogical, but always osten- sive. The direct or ostensive proof, in every kind of knowledge, is that which combines with the conviction of its truth insight into the sources of its truth; the apagogical proof, on the other hand, while it can indeed yield certainty, cannot enable us to comprehend truth in its connection with the grounds of its possibility. The latter is therefore to be regarded rather as a last resort than as a mode of procedure which satisfies all the requirements of reason. In respect of convincing power, it has, however, this advantage over the direct proofs, that contradic- tion always carries with it more clearness of representation than the best connection, and so approximates to the intuitional certainty of a demonstration. The real reason why apagogical proofs are employed in P 626 various sciences would seem to be this. When the grounds from which this or that knowledge has to be derived are too numerous or too deeply concealed, we try whether we may not arrive at the knowledge in question through its consequences. Now this modus ponens, that is, the inference to the truth of an assertion from the truth of its consequences, is only permissible when all its possible consequences are [known to be] true; for in that case there is only one possible ground for this being so, and that ground must also be true. But this procedure is impracticable; to discover all possible consequences of any given proposition exceeds our powers. None the less this mode of reasoning is resorted to, although indeed with a cer- tain special modification, when we endeavour to prove some- thing merely as an hypothesis. The modification made is that we admit the conclusion as holding according to analogy, namely, on the ground that if all the many consequences examined by us agree with an assumed ground, all other possible consequences will also agree with it. But from the nature of the argument, it is obvious that an hypothesis can never, on such evidence, be transformed into demonstrated truth. The modus tollens of reasoning, which proceeds from consequences to their grounds, is not only a quite rigorous but also an extremely easy mode of proof. For if even a single false consequence can be drawn from a proposition, the proposition is itself false. Instead, then, as in an ostensive proof, of re- viewing the whole series of grounds that can lead us to the truth of a proposition, by means of a complete insight into its possibility, we require only to show that a single one of the consequences resulting from its opposite is false, in order to prove that this opposite is itself false, and that the proposition which we had to prove is therefore true. The apagogic method of proof is, however, permissible only in those sciences where it is impossible mistakenly to substitute what is subjective in our representations for what is objective, that is, for the knowledge of that which is in the object. Where such substitution tends to occur, it must often happen that the opposite of a given proposition contradicts only the subjective conditions of thought, and not the object, or that the two propositions contradict each other only under a subjective condition which is falsely treated as being object- P 627 ive; the condition being false, both can be false, without it being possible to infer from the falsity of the one to the truth of the other. In mathematics this subreption is impossible; and it is there, therefore, that apagogical proofs have their true place. In natural science, where all our knowledge is based upon empirical intuitions, the subreption can generally be guarded against through repeated comparison of observations; but in this field this mode of proof is for the most part of little im- portance. The transcendental enterprises of pure reason, however, are one and all carried on within the domain proper to dialectical illusion, that is, within the domain of the sub- jective, which in its premisses presents itself to reason, nay, forces itself upon reason, as being objective. In this field, there- fore, it can never be permissible, so far as synthetic propositions are concerned, to justify assertions by disproving their opposite. For either this refutation is nothing but the mere representa- tion of the conflict of the opposite opinion with the subjective conditions under which alone anything can be conceived by our reason, which does not in the least contribute to the dis- proof of the thing itself-- just as, for instance, we must recog- nise that while the unconditioned necessity of the existence of a being is altogether inconceivable to us, and that every speculative proof of a necessary supreme being is therefore rightly to be opposed on subjective grounds, we have yet no right to deny the possibility of such a primordial being in itself -- or else both parties, those who adopt the affirmative no less than those who adopt the negative position, have been deceived by transcendental illusion, and base their asser- tions upon an impossible concept of the object. In that case we can apply the rule: non entis nulla sunt predicata; that is, all that is asserted of the object, whether affirmatively or negatively, is erroneous, and consequently we cannot arrive apagogically at knowledge of the truth through refutation of the opposite. If, for instance, it be assumed that the sensible world is given in itself in its totality, it is false that it must be either infinite in space or finite and limited. Both contentions are false. For appearances (as mere representations) which yet are to be given in themselves (as objects) are something impos- sible; and though the infinitude of this imaginary whole would P 628 indeed be unconditioned, it would contradict (since everything in appearances is conditioned) the unconditioned determina- tion of magnitude, [that is, of totality], which is presupposed in the concept. The apagogic method of proof is the real deluding influ- ence by which those who reason dogmatically have always held their admirers. It may be compared to a champion who seeks to uphold the honour and incontestable rights of his adopted party by offering battle to all who would question them. Such boasting proves nothing, however, in regard to the merits of the issue but only in regard to the respective strength of the com- batants, and this indeed only in respect of those who take the offensive. The spectators, observing that each party is alter- nately conqueror and conquered, are often led to have scep- tical doubts in regard to the very object of the dispute. They are not, however, justified in adopting such an attitude; it is sufficient to declare to the combatants: non defensoribus istis tempus eget. Everyone must defend his position directly, by a legitimate proof that carries with it a transcendental deduction of the grounds upon which it is itself made to rest. Only when this has been done, are we in a position to decide how far its claims allow of rational justification. If an opponent relies on subjective grounds, it is an easy matter to refute him. The dogmatist cannot, however, profit by this advantage. His own judgments are, as a rule, no less dependent upon subjective influences; and he can himself in turn be similarly cornered by his opponent. But if both parties proceed by the direct method, either they will soon discover the difficulty, nay, the impossi- bility, of showing ground for their assertions, and will be left with no resort save to appeal to some form of prescriptive authority; or our criticism will easily discover the illusion to which their dogmatic procedure is due, compelling pure reason to relinquish its exaggerated pretensions in the realm of speculation, and to withdraw within the limits of its proper territory -- that of practical principles. P 629 THE TRANSCENDENTAL DOCTRINE OF METHOD CHAPTER II THE CANON OF PURE REASON IT is humiliating to human reason that it achieves nothing in its pure employment, and indeed stands in need of a discipline to check its extravagances, and to guard it against the decep- tions which arise therefrom. But, on the other hand, reason is reassured and gains self-confidence, on finding that it itself can and must apply this discipline, and that it is not called upon to submit to any outside censorship; and, moreover, that the limits which it is compelled to set to its speculative employ- ment likewise limit the pseudo-rational pretensions of all its opponents, and that it can secure against all attacks whatever may remain over from its former exaggerated claims. The greatest and perhaps the sole use of all philosophy of pure reason is therefore only negative; since it serves not as an organon for the extension but as a discipline for the limitation of pure reason, and, instead of discovering truth, has only the modest merit of guarding against error. There must, however, be some source of positive modes of knowledge which belong to the domain of pure reason, and which, it may be, give occasion to error solely owing to mis- understanding, while yet in actual fact they form the goal to- wards which reason is directing its efforts. How else can we account for our inextinguishable desire to find firm footing somewhere beyond the limits of experience? Reason has a pre- sentiment of objects which possess a great interest for it. But when it follows the path of pure speculation, in order to ap- proach them, they fly before it. Presumably it may look for better fortune in the only other path which still remains open to it, that of its practical employment. P 630 I understand by a canon the sum-total of the a priori prin- ciples of the correct employment of certain faculties of know- ledge. Thus general logic, in its analytic portion, is a canon for understanding and reason in general; but only in regard to their form; it abstracts from all content. The transcendental analytic has similarly been shown to be the canon of the pure understanding; for understanding alone is capable of true syn- thetic modes of knowledge a priori. But when no correct em- ployment of a faculty of knowledge is possible there is no canon. Now all synthetic knowledge through pure reason in its speculative employment is, as has been shown by the proofs given, completely impossible. There is therefore no canon of its speculative employment; such employment is entirely dia- lectical. All transcendental logic is, in this respect, simply a discipline. Consequently, if there be any correct employment of pure reason, in which case there must be a canon of its employment, the canon will deal not with the speculative but with the practical employment of reason. This practical em- ployment of reason we shall now proceed to investigate. THE CANON OF PURE REASON Section 1 THE ULTIMATE END OF THE PURE EMPLOYMENT OF OUR REASON Reason is impelled by a tendency of its nature to go out beyond the field of its empirical employment, and to venture in a pure employment, by means of ideas alone, to the utmost limits of all knowledge, and not to be satisfied save through the completion of its course in [the apprehension of] a self- subsistent systematic whole. Is this endeavour the outcome merely of the speculative interests of reason? Must we not rather regard it as having its source exclusively in the prac- tical interests of reason? I shall, for the moment, leave aside all question as to the success which attends pure reason in its speculative exercise, and enquire only as to the problems the solution of which P 631 constitutes its ultimate aim, whether reached or not, and in respect of which all other aims are to be regarded only as means. These highest aims must, from the nature of reason, have a certain unity, in order that they may, as thus unified, further that interest of humanity which is subordinate to no higher interest. The ultimate aim to which the speculation of reason in its transcendental employment is directed concerns three objects: the freedom of the will, the immortality of the soul, and the existence of God. In respect of all three the merely speculative interest of reason is very small; and for its sake alone we should hardly have undertaken the labour of transcendental investiga- tion -- a labour so fatiguing in its endless wrestling with in- superable difficulties -- since whatever discoveries might be made in regard to these matters, we should not be able to make use of them in any helpful manner in concreto, that is, in the study or nature. If the will be free, this can have a bearing only on the intelligible cause of our volition. For as regards the phe- nomena of its outward expressions, that is, of our actions, we must account for them -- in accordance with a maxim which is inviolable, and which is so fundamental that without it we should not be able to employ reason in any empirical manner whatsoever -- in the same manner as all other appearances of nature, namely, in conformity with unchangeable laws. If, again, we should be able to obtain insight into the spiritual nature of the soul, and therewith of its immortality, we could make no use of such insight in explaining either the appear- ances of this present life or the specific nature of a future state. For our concept of an incorporeal nature is merely nega- tive, and does not in the least extend our knowledge, yielding no sufficient material for inferences, save only such as are merely fictitious and cannot be sanctioned by philosophy. If, thirdly, the existence of a supreme intelligence be proved, by its means we might indeed render what is purposive in the constitution and ordering of the world comprehensible in a general sort or way, but we should not be in the least war- ranted in deriving from it any particular arrangement or dis- position, or in boldly inferring any such, where it is not per- ceived. For it is a necessary rule of the speculative employment of reason, not to pass over natural causes, and, abandoning P 632 that in regard to which we can be instructed by experience, to deduce something which we know from something which en- tirely transcends all our [possible] knowledge. In short, these three propositions are for speculative reason always tran- scendent, and allow of no immanent employment -- that is, employment in reference to objects of experience, and so in some manner really of service to us -- but are in themselves, notwithstanding the very heavy labours which they impose upon our reason, entirely useless. If, then, these three cardinal propositions are not in any way necessary for knowledge, and are yet strongly recom- mended by our reason, their importance, properly regarded, must concern only the practical. By 'the practical' I mean everything that is possible through freedom. When, however, the conditions of the exer- cise of our free will are empirical, reason can have no other than a regulative employment in regard to it, and can serve only to effect unity in its empirical laws. Thus, for instance, in the precepts of prudence, the whole business of reason consists in uniting all the ends which are prescribed to us by our desires in the one single end, happiness, and in co- ordinating the means for attaining it. In this field, therefore, reason can supply none but pragmatic laws of free action, for the attainment of those ends which are commended to us by the senses; it cannot yield us laws that are pure and deter- mined completely a priori. Laws of this latter type, pure prac- tical laws, whose end is given through reason completely a - priori, and which are prescribed to us not in an empirically conditioned but in an absolute manner, would be products of pure reason. Such are the moral laws; and these alone, there- fore, belong to the practical employment of reason, and allow of a canon. The whole equipment of reason, in the discipline which may be entitled pure philosophy, is in fact determined with a view to the three above-mentioned problems. These, how- ever, themselves in turn refer us yet further, namely, to the problem what we ought to do, if the will is free, if there is a God and a future world. As this concerns our attitude to the supreme end, it is evident that the ultimate intention of nature in her wise provision for us has indeed, in the P 633 constitution of our reason, been directed to moral interests alone. But we must be careful, in turning our attention to an object which is foreign to transcendental philosophy, that we do not indulge in digressions to the detriment of the unity of the system, nor on the other hand, by saying too little on this new topic, fail in producing conviction through lack of clear- ness. I hope to avoid both dangers, by keeping as close as possible to the transcendental, and by leaving entirely aside any psychological, that is, empirical, factors that may per- chance accompany it. I must first remark that for the present I shall employ the concept of freedom in this practical sense only, leaving aside that other transcendental meaning which cannot be empiric- ally made use of in explanation of appearances, but is itself a problem for reason, as has been already shown. A will is purely animal (arbitrium brutum), which cannot be deter- mined save through sensuous impulses, that is, pathologically. A will which can be determined independently of sensuous impulses, and therefore through motives which are repre- sented only by reason, is entitled free will (arbitrium liberum), and everything which is bound up with this will, whether as ground or as consequence, is entitled practical. [The fact of] practical freedom can be proved through experience. For the human will is not determined by that alone which stimulates, that is, immediately affects the senses; we have the power to overcome the impressions on our faculty of sensuous desire, by calling up representations of what, in a more indirect manner, is useful or injurious. But these considerations, as to what is desirable in respect of our whole state, that is, as to what is good and useful, are based on reason. ++ All practical concepts relate to objects of satisfaction or dis- satisfaction, that is, of pleasure and pain, and therefore, at least indirectly, to the objects of our feelings. But as feeling is not a faculty whereby we represent things, but lies outside our whole faculty of knowledge, the elements of our judgments so far as they relate to pleasure or pain, that is, the elements of practical judgments, do not belong to transcendental philosophy, which is exclusively concerned with pure a priori modes of knowledge. P 633 Reason therefore provides P 634 laws which are imperatives, that is, objective laws of freedom, which tell us what ought to happen -- although perhaps it never does happen -- therein differing from laws of nature, which relate only to that which happens. These laws are therefore to be entitled practical laws. Whether reason is not, in the actions through which it prescribes laws, itself again determined by other influences, and whether that which, in relation to sensuous impulses, is entitled freedom, may not, in relation to higher and more remote operating causes, be nature again, is a question which in the practical field does not concern us, since we are de- manding of reason nothing but the rule of conduct; it is a merely speculative question, which we can leave aside so long as we are considering what ought or ought not to be done. While we thus through experience know practical freedom to be one of the causes in nature, namely, to be a causality of reason in the determination of the will, transcendental free- dom demands the independence of this reason -- in respect of its causality, in beginning a series of appearances -- from all determining causes of the sensible world. Transcendental freedom is thus, as it would seem, contrary to the law of nature, and therefore to all possible experience; and so re- mains a problem. But this problem does not come within the province of reason in its practical employment; and we have therefore in a canon of pure reason to deal with only two questions, which relate to the practical interest of pure reason, and in regard to which a canon of its employment must be possible -- Is there a God? and, Is there a future life? The question of transcendental freedom is a matter for speculative knowledge only, and when we are dealing with the practical we can leave it aside as being an issue with which we have no concern. Moreover, a quite sufficient discussion of it is to be found in the antinomy of pure reason. P 635 THE CANON OF PURE REASON Section 2 THE IDEAL OF THE HIGHEST GOOD, AS A DETERMINING GROUND OF THE ULTIMATE END OF PURE REASON Reason, in its speculative employment, conducted us through the field of experience, and since it could not find complete satisfaction there, from thence to speculative ideas, which, however, in the end brought us back to experi- ence. In so doing the ideas fulfilled their purpose, but in a manner which, though useful, is not in accordance with our expectation. One other line of enquiry still remains open to us: namely, whether pure reason may not also be met with in the practical sphere, and whether it may not there conduct us to ideas which reach to those highest ends of pure reason that we have just stated, and whether, therefore, reason may not be able to supply to us from the standpoint of its practical interest what it altogether refuses to supply in respect of its speculative interest. All the interests of my reason, speculative as well as practical, combine in the three following questions: 1. What can I know? 2. What ought I to do? 3. What may I hope? The first question is merely speculative. We have, as I flatter myself, exhausted all the possible answers to it, and at last have found the answer with which reason must perforce content itself, and with which, so long as it takes no account of the practical, it has also good cause to be satisfied. But from the two great ends to which the whole endeavour of pure reason was really directed, we have remained just as far re- moved as if through love of ease we had declined this labour of enquiry at the very outset. So far, then, as knowledge is concerned, this much, at least, is certain and definitively established, that in respect of these two latter problems, know- ledge is unattainable by us. The second question is purely practical. As such it can P 636 indeed come within the scope of pure reason, but even so is not transcendental but moral, and cannot, therefore, in and by itself, form a proper subject for treatment in this Critique. The third question -- If I do what I ought to do, what may I then hope? -- is at once practical and theoretical, in such fashion that the practical serves only as a clue that leads us to the answer to the theoretical question, and when this is followed out, to the speculative question. For all hoping is directed to happiness, and stands in the same relation to the practical and the law of morality as knowing and the law of nature to the theoretical knowledge of things. The former arrives finally at the conclusion that something is (which determines the ultimate possible end) because something ought to happen; the latter, that something is (which operates as the supreme cause) because something happens. Happiness is the satisfaction of all our desires, extensively, in respect of their manifoldness, intensively, in respect of their degree, and protensively, in respect of their duration. The practical law, derived from the motive of happiness, I term pragmatic (rule of prudence), and that law, if there is such a law, which has no other motive than worthiness of being happy, I term moral (law of morality). The former advises us what we have to do if we wish to achieve happiness; the latter dictates to us how we must behave in order to de- serve happiness. The former is based on empirical principles; for only by means of experience can I know what desires there are which call for satisfaction; or what those natural causes are which are capable of satisfying them. The latter takes no account of desires, and the natural means of satisfying them, and considers only the freedom of a rational being in general, and the necessary conditions under which alone this freedom can harmonise with a distribution of happiness that is made in accordance with principles. This latter law can therefore be based on mere ideas of pure reason, and known a priori. I assume that there really are pure moral laws which de- termine completely a priori (without regard to empirical motives, that is, to happiness) what is and is not to be done, that is, which determine the employment of the freedom of a rational being in general; and that these laws command in an absolute manner (not merely hypothetically, on the supposi- P 637 tion of other empirical ends), and are therefore in every respect necessary. I am justified in making this assumption, in that I can appeal not only to the proofs employed by the most en- lightened moralists, but to the moral judgment of every man, in so far as he makes the effort to think such a law clearly. Pure reason, then, contains, not indeed in its speculative employment, but in that practical employment which is also moral, principles of the possibility of experience, namely, of such actions as, in accordance with moral precepts, might be met with in the history of mankind. For since reason com- mands that such actions should take place, it must be possible for them to take place. Consequently, a special kind of system- atic unity, namely the moral, must likewise be possible. We have indeed found that the systematic unity of nature cannot be proved in accordance with speculative principles of reason. For although reason does indeed have causality in respect of freedom in general, it does not have causality in respect of nature as a whole; and although moral principles of reason can indeed give rise to free actions, they cannot give rise to laws of nature. Accordingly it is in their practical, meaning thereby their moral, employment, that the principles of pure reason have objective reality. I entitle the world a moral world, in so far as it may be in accordance with all moral laws; and this is what by means of the freedom of the rational being it can be, and what according to the necessary laws of morality it ought to be. Owing to our here leaving out of account all conditions (ends) and even all the special difficulties to which morality is exposed (weakness or depravity of human nature), this world is so far thought as an intelligible world only. To this extent, therefore, it is a mere idea, though at the same time a practical idea, which really can have, as it also ought to have, an influence upon the sensible world, to bring that world, so far as may be possible, into conformity with the idea. The idea of a moral world has, therefore, objective reality, not as referring to an object of an intelligible intuition (we are quite unable to think any such object), but as referring to the sensible world, viewed, however, as being an object of pure reason in its practical employ- ment, that is, as a corpus mysticum of the rational beings in it, so far as the free will of each being is, under moral laws, in P 638 complete systematic unity with itself and with the freedom of every other. This is the answer to the first of the two questions of pure reason that concern its practical interest: -- Do that through which thou becomest worthy to be happy. The second question is: -- If I so behave as not to be unworthy of happiness, may I hope thereby to obtain happiness? In answering this question we have to consider whether the principles of pure reason, which prescribe the law a priori, likewise connect this hope necessarily with it. I maintain that just as the moral principles are necessary according to reason in its practical employment, it is in the view of reason, in the field of its theoretical employment, no less necessary to assume that everyone has ground to hope for happiness in the measure in which he has rendered himself by his conduct worthy of it, and that the system of morality is therefore inseparably -- though only in the idea of pure reason -- bound up with that of happiness. Now in an intelligible world, that is, in the moral world, in the concept of which we leave out of account all the hindrances to morality (the desires), such a system, in which happiness is bound up with and proportioned to morality, can be con- ceived as necessary, inasmuch as freedom, partly inspired and partly restricted by moral laws, would itself be the cause of general happiness, since rational beings, under the guidance of such principles, would themselves be the authors both of their own enduring well-being and of that of others. But such a system of self-rewarding morality is only an idea, the carry- ing out of which rests on the condition that everyone does what he ought, that is, that all the actions of rational beings take place just as if they had proceeded from a supreme will that comprehends in itself, or under itself, all private wills. But since the moral law remains binding for every one in the use of his freedom, even although others do not act in con- formity with the law, neither the nature of the things of the world nor the causality of the actions themselves and their relation to morality determine how the consequences of these actions will be related to happiness. The alleged necessary connection of the hope of happiness with the necessary en- deavour to render the self worthy of happiness cannot there- P 639 fore be known through reason. It can be counted upon only if a Supreme Reason, that governs according to moral rules, be likewise posited as underlying nature as its cause. The idea of such an intelligence in which the most perfect moral will, united with supreme blessedness, is the cause of all happiness in the world -- so far as happiness stands in exact re- lation with morality, that is, with worthiness to be happy -- I entitle the ideal of the supreme good. It is, therefore, only in the ideal of the supreme original good that pure reason can find the ground of this connection, which is necessary from the prac- tical point of view, between the two elements of the supreme derivative good -- the ground, namely, of an intelligible, that is, moral world. Now since we are necessarily constrained by reason to represent ourselves as belonging to such a world, while the senses present to us nothing but a world of appearances, we must assume that moral world to be a consequence of our con- duct in the world of sense (in which no such connection be- tween worthiness and happiness is exhibited), and therefore to be for us a future world. Thus God and a future life are two postulates which, according to the principles of pure reason, are inseparable from the obligation which that same reason imposes upon us. Morality, by itself, constitutes a system. Happiness, how- ever, does not do so, save in so far as it is distributed in exact proportion to morality. But this is possible only in the intel- ligible world, under a wise Author and Ruler. Such a Ruler, together with life in such a world, which we must regard as a future world, reason finds itself constrained to assume; other- wise it would have to regard the moral laws as empty figments of the brain, since without this postulate the necessary conse- quence which it itself connects with these laws could not follow. Hence also everyone regards the moral laws as com- mands; and this the moral laws could not be if they did not connect a priori suitable consequences with their rules, and thus carry with them promises and threats. But this again they could not do, if they did not reside in a necessary being, as the supreme good, which alone can make such a purposive unit possible. Leibniz entitled the world, in so far as we take account only of the rational beings in it, and of their connection ac- P 640 cording to moral laws under the government of the supreme good, the kingdom of grace, distinguishing it from the king- dom of nature, in which these rational beings do indeed stand under moral laws, but expect no other consequences from their actions than such as follow in accordance with the course of nature in our world of sense. To view ourselves, therefore, as in the world of grace, where all happiness awaits us, except in so far as we ourselves limit our share in it through being unworthy of happiness, is, from the practical standpoint, a necessary idea of reason. Practical laws, in so far as they are subjective grounds of actions, that is, subjective principles, are entitled maxims. The estimation of morality, in regard to its purity and consequences, is effected in accordance with ideas, the observance of its laws in accordance with maxims. It is necessary that the whole course of our life be sub- ject to moral maxims; but it is impossible that this should happen unless reason connects with the moral law, which is a mere idea, an operative cause which determines for such con- duct as is in accordance with the moral law an outcome, either in this or in another life, that is in exact conformity with our supreme ends. Thus without a God and without a world in- visible to us now but hoped for, the glorious ideas of morality are indeed objects of approval and admiration, but not springs of purpose and action. For they do not fulfil in its complete- ness that end which is natural to every rational being and which is determined a priori, and rendered necessary, by that same pure reason. Happiness, taken by itself, is, for our reason, far from being the complete good. Reason does not approve happiness (however inclination may desire it) except in so far as it is united with worthiness to be happy, that is, with moral conduct. Morality, taken by itself, and with it, the mere worthiness to be happy, is also far from being the complete good. To make the good complete, he who behaves in such a manner as not to be unworthy of happiness must be able to hope that he will participate in happiness. Even the reason that is free from all private purposes, should it put itself in the place of a being that had to distribute all happiness to others, cannot judge other- wise; for in the practical idea both elements are essentially P 641 connected, though in such a manner that it is the moral dis- position which conditions and makes possible the participation in happiness, and not conversely the prospect of happiness that makes possible the moral disposition. For in the latter case the disposition would not be moral, and therefore would not be worthy of complete happiness -- happiness which in the view of reason allows of no limitation save that which arises from our own immoral conduct. Happiness, therefore, in exact proportion with the morality of the rational beings who are thereby rendered worthy of it, alone constitutes the supreme good of that world wherein, in accordance with the commands of a pure but practical reason, we are under obligation to place ourselves. This world is in- deed an intelligible world only, since the sensible world holds out no promise that any such systematic unity of ends can arise from the nature of things. Nor is the reality of this unity based on anything else than the postulate of a supreme ori- ginal good. In a supreme good, thus conceived, self-subsistent reason, equipped with all the sufficiency of a supreme cause, establishes, maintains, and completes the universal order of things, according to the most perfect design -- an order which in the world of sense is in large part concealed from us. This moral theology has the peculiar advantage over speculative theology that it inevitably leads to the concept of a sole, all-perfect, and rational primordial being, to which speculative theology does not, on objective grounds, even so much as point the way, and as to the existence of which it is still less capable of yielding any conviction. For neither in transcendental nor in natural theology, however far reason may carry us, do we find any considerable ground for assum- ing only some one single being which we should be justi- fied in placing prior to all natural causes, and upon which we might make them in all respects dependent. On the other hand, if we consider from the point of view of moral unity, as a necessary law of the world, what the cause must be that can alone give to this law its appropriate effect, and so for us obligatory force, we conclude that there must be one sole supreme will, which comprehends all these laws in itself. For how, under different wills, should we find complete P 642 unity of ends. This Divine Being must be omnipotent, in order that the whole of nature and its relation to morality in the world may be subject to his will; omniscient, that He may know our innermost sentiments and their moral worth; omnipresent, that He may be immediately at hand for the satisfying of every need which the highest good demands; eternal, that this harmony of nature and freedom may never fail, etc. But this systematic unity of ends in this world of intelli- gences -- a world which is indeed, as mere nature, a sensible world only, but which, as a system of freedom, can be entitled an intelligible, that is, a moral world (regnum gratiae) -- leads in- evitably also to the purposive unity of all things, which constitute this great whole, in accordance with universal laws of nature (just as the former unity is in accordance with universal and neces- sary laws of morality), and thus unites the practical with the speculative reason. The world must be represented as having originated from an idea if it is to be in harmony with that em- ployment of reason without which we should indeed hold our- selves to be unworthy of reason, namely, with the moral em- ployment -- which is founded entirely on the idea of the supreme good. In this way all investigation of nature tends to take the form of a system of ends, and in its widest extension becomes a physico-theology. But this, as it has its source in the moral order, as a unity grounded in freedom's own essential nature, and not accidentally instituted through external commands, connects the purposiveness of nature with grounds which must be inseparably connected a priori with the inner possibility of things, and so leads to a transcendental theology -- a theology which takes the ideal of supreme ontological perfection as a principle of systematic unity. And since all things have their origin in the absolute necessity of the one primordial being, that principle connects them in accordance with universal and necessary laws of nature. What use can we make of our understanding, even in re- spect of experience, if we do not propose ends to ourselves? But the highest ends are those of morality, and these we can know only as they are given us by pure reason. But though provided with these, and employing them as a clue, we cannot make use of the knowledge of nature in any serviceable manner P 643 in the building up of knowledge, unless nature has itself shown unity of design. For without this unity we should our- selves have no reason, inasmuch as there would be no school for reason, and no fertilisation through objects such as might afford materials for the necessary concepts. But the former purposive unity is necessary, and founded on the will's own essential nature, and this latter unity [of design in nature] which contains the condition of its application in concreto, must be so likewise. And thus the transcendental enlargement of our knowledge, as secured through reason, is not to be regarded as the cause, but merely as the effect of the practical purposiveness which pure reason imposes upon us. Accordingly we find, in the history of human reason, that until the moral concepts were sufficiently purified and deter- mined, and until the systematic unity of their ends was under- stood in accordance with these concepts and from necessary principles, the knowledge of nature, and even a quite con- siderable development of reason in many other sciences, could give rise only to crude and incoherent concepts of the Deity, or as sometimes happened resulted in an astonishing in- difference in regard to all such matters. A greater preoccupa- tion with moral ideas, which was rendered necessary by the extraordinarily pure moral law of our religion, made reason more acutely aware of its object, through the interest which it was compelled to take in it. And this came about, independ- ently of any influence exercised by more extended views of nature or by correct and reliable transcendental insight (for that has always been lacking). It was the moral ideas that gave rise to that concept of the Divine Being which we now hold to be correct -- and we so regard it not because speculative reason convinces us of its correctness, but because it com- pletely harmonises with the moral principles of reason. Thus it is always only to pure reason, though only in its practical employment, that we must finally ascribe the merit of having connected with our highest interest a knowledge which reason can think only, and cannot establish, and of having thereby shown it to be, not indeed a demonstrated dogma, but a postulate which is absolutely necessary in view of what are reason's own most essential ends. P 644 But when practical reason has reached this goal, namely, the concept of a sole primordial being as the supreme good, it must not presume to think that it has raised itself above all empirical conditions of its application, and has attained to an immediate knowledge of new objects, and can therefore start from this concept, and can deduce from it the moral laws themselves. For it is these very laws that have led us, in virtue of their inner practical necessity, to the postulate of a self- sufficient cause, or of a wise Ruler of the world, in order that through such agency effect may be given to them. We may not, therefore, in reversal of such procedure, regard them as accidental and as derived from the mere will of the Ruler, especially as we have no conception of such a will, except as formed in accordance with these laws. So far, then, as prac- tical reason has the right to serve as our guide, we shall not look upon actions as obligatory because they are the commands of God, but shall regard them as divine commands because we have an inward obligation to them. We shall study freedom according to the purposive unity that is determined in accord- ance with the principles of reason, and shall believe ourselves to be acting in conformity with the divine will in so far only as we hold sacred the moral law which reason teaches us from the nature of the actions themselves; and we shall believe that we can serve that will only by furthering what is best in the world, alike in ourselves and in others. Moral theology is thus of immanent use only. It enables us to fulfil our vocation in this present world by showing us how to adapt ourselves to the system of all ends, and by warning us against the fanaticism, and indeed the impiety, of abandoning the guidance of a morally legislative reason in the right conduct of our lives, in order to derive guidance directly from the idea of the Supreme Being. For we should then be making a transcendent em- ployment of moral theology; and that, like a transcendent use of pure speculation, must pervert and frustrate the ultimate ends of reason. P 645 THE CANON OF PURE REASON Section 3 OPINING, KNOWING, AND BELIEVING The holding of a thing to be true is an occurrence in our understanding which, though it may rest on objective grounds, also requires subjective causes in the mind of the individual who makes the judgment. If the judgment is valid for everyone, provided only he is in possession of reason, its ground is ob- jectively sufficient, and the holding of it to be true is entitled conviction. If it has its ground only in the special character of the subject, it is entitled persuasion. Persuasion is a mere illusion, because the ground of the judgment, which lies solely in the subject, is regarded as objec- tive. Such a judgment has only private validity, and the hold- ing of it to be true does not allow of being communicated. But truth depends upon agreement with the object, and in re- spect of it the judgments of each and every understanding must therefore be in agreement with each other (consentientia uni tertio, consentiunt inter se). The touchstone whereby we decide whether our holding a thing to be true is conviction or mere persuasion is therefore external, namely, the possi- bility of communicating it and of finding it to be valid for all human reason. For there is then at least a presumption that the ground of the agreement of all judgments with each other, notwithstanding the differing characters of individuals, rests upon the common ground, namely, upon the object, and that it is for this reason that they are all in agreement with the object -- the truth of the judgment being thereby proved. So long, therefore, as the subject views the judgment merely as an appearance of his mind, persuasion cannot be subject- ively distinguished from conviction. The experiment, how- ever, whereby we test upon the understanding of others whether those grounds of the judgment which are valid for us have the same effect on the reason of others as on our own, is a means, although only a subjective means, not indeed of pro- ducing conviction, but of detecting any merely private validity P 646 in the judgment, that is, anything in it which is mere per- suasion. If, in addition, we can specify the subjective causes of the judgment, which we have taken as being its objective grounds, and can thus explain the deceptive judgment as an event in our mind, and can do so without having to take account of the character of the object, we expose the illusion and are no longer deceived by it, although always still in some degree liable to come under its influence, in so far as the subjective cause of the illusion is inherent in our nature. I cannot assert anything, that is, declare it to be a judg- ment necessarily valid for everyone, save as it gives rise to conviction. Persuasion I can hold to on my own account, if it so pleases me, but I cannot, and ought not, to profess to impose it as binding on anyone but myself. The holding of a thing to be true, or the subjective validity of the judgment, in its relation to conviction (which is at the same time objectively valid), has the following three degrees: opining, believing, and knowing. Opining is such holding of a judgment as is consciously insufficient, not only objectively, but also subjectively. If our holding of the judgment be only subjectively sufficient, and is at the same time taken as being objectively insufficient, we have what is termed believing. Lastly, when the holding of a thing to be true is sufficient both subjectively and objectively, it is knowledge. The sub- jective sufficiency is termed conviction (for myself), the objective sufficiency is termed certainty (for everyone). There is no call for me to spend further time on the ex- planation of such easily understood terms. I must never presume to opine, without knowing at least something by means of which the judgment, in itself merely problematic, secures connection with truth, a connection which, although not complete, is yet more than arbitrary fiction. Moreover, the law of such a connection must be cer- tain. For if, in respect of this law also, I have nothing but opinion, it is all merely a play of the imagination, without the least relation to truth. Again, opining is not in any way per- missible in judging by means of pure reason. For since such judging is not based on grounds of experience, but being in P 647 every case necessary has all to be arrived at a priori, the prin- ciple of the connection requires universality and necessity, and therefore complete certainty; otherwise we should have no guidance as to truth. Hence it is absurd to have an opinion in pure mathematics; either we must know, or we must abstain from all acts of judgment. It is so likewise in the case of the principles of morality, since we must not venture upon an action on the mere opinion that it is allowed, but must know it to be so. In the transcendental employment of reason, on the other hand, while opining is doubtless too weak a term to be ap- plicable, the term knowing is too strong. In the merely specu- lative sphere we cannot therefore make any judgments what- soever. For the subjective grounds upon which we may hold something to be true, such as those which are able to produce belief, are not permissible in speculative questions, inasmuch as they do not hold independently of all empirical support, and do not allow of being communicated in equal measure to others. But it is only from a practical point of view that the theo- retically insufficient holding of a thing to be true can be termed believing. This practical point of view is either in reference to skill or in reference to morality, the former being concerned with optional and contingent ends, the latter with ends that are absolutely necessary. Once an end is accepted, the conditions of its attainment are hypothetically necessary. This necessity is subjectively, but still only comparatively, sufficient, if I know of no other conditions under which the end can be attained. On the other hand, it is sufficient, absolutely and for everyone, if I know with certainty that no one can have knowledge of any other conditions which lead to the proposed end. In the former case my assumption and the holding of certain conditions to be true is a merely contingent belief; in the latter case it is a necessary belief. The physician must do something for a patient in danger, but does not know the nature of his illness. He observes the symptoms, and if he can find no more likely alternative, judges it to be a case of phthisis. Now even in his own estimation his belief is contingent only; another observer P 648 might perhaps come to a sounder conclusion. Such contingent belief, which yet forms the ground for the actual employment of means to certain actions, I entitle pragmatic belief. The usual touchstone, whether that which someone asserts is merely his persuasion -- or at least his subjective conviction, that is, his firm belief -- is betting. It often happens that some- one propounds his views with such positive and uncompromis- ing assurance that he seems to have entirely set aside all thought of possible error. A bet disconcerts him. Sometimes it turns out that he has a conviction which can be estimated at a value of one ducat, but not of ten. For he is very willing to venture one ducat, but when it is a question of ten he becomes aware, as he had not previously been, that it may very well be that he is in error. If, in a given case, we represent ourselves as staking the happiness of our whole life, the triumphant tone of our judgment is greatly abated; we become extremely diffident, and discover for the first time that our belief does not reach so far. Thus pragmatic belief always exists in some specific degree, which, according to differences in the interests at stake, may be large or may be small. But in many cases, when we are dealing with an object about which nothing can be done by us, and in regard to which our judgment is therefore purely theoretical, we can conceive and picture to ourselves an attitude for which we regard ourselves as having sufficient grounds, while yet there is no existing means of arriving at certainty in the matter. Thus even in purely theoretical judgments there is an analogon of practical judgments, to the mental entertaining of which the term 'belief' is appropriate, and which we may entitle doctrinal belief. I should be ready to stake my all on the con- tention -- were it possible by means of any experience to settle the question -- that at least one of the planets which we see is inhabited. Hence I say that it is not merely opinion, but a strong belief, on the correctness of which I should be prepared to run great risks, that other worlds are inhabited. Now we must admit that the doctrine of the existence of God belongs to doctrinal belief. For as regards theoretical knowledge of the world, I can cite nothing which necessarily presupposes this thought as the condition of my explanations P 649 of the appearances exhibited by the world, but rather am bound so to employ my reason as if everything were mere nature. Purposive unity is, however, so important a condition of the application of reason to nature that I cannot ignore it, especially as experience supplies me so richly with examples of it. But I know no other condition under which this unity can sup- ply me with guidance in the investigation of nature, save only the postulate that a supreme intelligence has ordered all things in accordance with the wisest ends. Consequently, as a condi- tion of what is indeed a contingent, but still not unimportant purpose, namely, to have guidance in the investigation of nature, we must postulate a wise Author of the world. More- over, the outcome of my attempts [in explanation of nature] so frequently confirms the usefulness of this postulate, while nothing decisive can be cited against it, that I am saying much too little if I proceed to declare that I hold it merely as an opinion. Even in this theoretical relation it can be said that I firmly believe in God. This belief is not, therefore, strictly speaking, practical; it must be entitled a doctrinal belief to which the theology of nature (physico-theology) must always necessarily give rise. In view of the magnificent equipment of our human nature, and the shortness of life so ill-suited to the full exercise of our powers, we can find in this same divine wisdom a no less sufficient ground for a doctrinal belief in the future life of the human soul. In such cases the expression of belief is, from the objective point of view, an expression of modesty, and yet at the same time, from the subjective point of view, an expression of the firmness of our confidence. Were I even to go the length of describing the merely theoretical holding of the belief as an hypothesis which I am justified in assuming, I should thereby be pledging myself to have a more adequate concept of the character of a cause of the world and of the character of another world than I am really in a position to supply. For if I assume anything, even merely as an hypothesis, I must at least know so much of its properties that I require to assume, not its concept, but only its existence. The term 'belief' refers only to the guidance which an idea gives me, and to its subjective influence in that furthering of the activi- ties of my reason which confirms me in the idea, and which P 650 yet does so without my being in a position to give a specu- lative account of it. But the merely doctrinal belief is somewhat lacking in stability; we often lose hold of it, owing to the speculative difficulties which we encounter, although in the end we always inevitably return to it. It is quite otherwise with moral belief. For here it is abso- lutely necessary that something must happen, namely, that I must in all points conform to the moral law. The end is here irrefragably established, and according to such insight as I can have, there is only one possible condition under which this end can connect with all other ends, and thereby have prac- tical validity, namely, that there be a God and a future world. I also know with complete certainty that no one can be ac- quainted with any other conditions which lead to the same unity of ends under the moral law. Since, therefore, the moral precept is at the same time my maxim (reason prescribing that it should be so), I inevitably believe in the existence of God and in a future life, and I am certain that nothing can shake this belief, since my moral principles would thereby be them- selves overthrown, and I cannot disclaim them without be- coming abhorrent in my own eyes. Thus even after reason has failed in all its ambitious at- tempts to pass beyond the limits of all experience, there is still enough left to satisfy us, so far as our practical stand- point is concerned. No one, indeed, will be able to boast that he knows that there is a God, and a future life; if he knows this, he is the very man for whom I have long [and vainly] sought. All knowledge, if it concerns an object of mere reason, can be communicated; and I might therefore hope that under his instruction my own knowledge would be extended in this wonderful fashion. No, my conviction is not logical, but moral certainty; and since it rests on subjective grounds (of the moral sentiment), I must not even say, 'It is morally certain that there is a God, etc. ', but 'I am morally certain, etc. ' In other words, belief in a God and in another world is so interwoven with my moral sentiment that as there is little danger of my losing the latter, there is equally little cause for fear that the former can ever be taken from me. P 651 The only point that may seem questionable is the basing of this rational belief on the assumption of moral sentiments. If we leave these aside, and take a man who is completely indifferent with regard to moral laws, the question propounded by reason then becomes merely a problem for speculation, and can, indeed, be supported by strong grounds of analogy, but not by such as must compel the most stubborn scepticism to give way. But in these questions no man is free from all interest. For although, through lack of good sentiments, he may be cut off from moral interest, still even in this case enough remains to make him fear the existence of a God and a future life. Nothing more is required for this than that he at least cannot pretend that there is any certainty that there is no such being and no such life. Since that would have to be proved by mere reason, and therefore apodeictically, he would have to prove the impossibility of both, which assuredly no one can reasonably undertake to do. This may therefore serve as negative belief, which may not, indeed, give rise to morality and good sentiments, but may still give rise to an analogon of these, namely, a powerful check upon the out- break of evil sentiments. But, it will be said, is this all that pure reason acheives in opening up prospects beyond the limits of experience? Nothing more than two articles of belief? Surely the common understanding could have achieved as much, without appeal- ing to philosophers for counsel in the matter. I shall not here dwell upon the service which philosophy has done to human reason through the laborious efforts of its criticism, granting even that in the end it should turn out to be merely negative; something more will be said on this point in the next section. ++ The human mind (as, I likewise believe, must necessarily be the case with every rational being) takes a natural interest in morality, although this interest is not undivided and practically preponderant. If we confirm and increase this interest, we shall find reason very teachable and in itself more enlightened as regards the uniting of the speculative with the practical interest. But if we do not take care that we first make men good, at least in some measure good, we shall never make honest believers of them. P 651 But I may at once reply: Do you really require that a mode of knowledge which concerns all men P 652 should transcend the common understanding, and should only be revealed to you by philosophers? Precisely what you find fault with is the best confirmation of the correctness of the above assertions. For we have thereby revealed to us, what could not at the start have been foreseen, namely, that in matters which concern all men without distinction nature is not guilty of any partial distribution of her gifts, and that in regard to the essential ends of human nature the highest philosophy cannot advance further than is possible under the guidance which nature has bestowed even upon the most ordinary understanding. P 653 THE TRANSCENDENTAL DOCTRINE OF METHOD CHAPTER III THE ARCHITECTONIC OF PURE REASON BY an architectonic I understand the art of constructing sys- tems. As systematic unity is what first raises ordinary know- ledge to the rank of science, that is, makes a system out of a mere aggregate of knowledge, architectonic is the doctrine of the scientific in our knowledge, and therefore necessarily forms part of the doctrine of method. In accordance with reason's legislative prescriptions, our diverse modes of knowledge must not be permitted to be a mere rhapsody, but must form a system. Only so can they further the essential ends of reason. By a system I understand the unity of the manifold modes of knowledge under one idea. This idea is the concept provided by reason -- of the form of a whole -- in so far as the concept determines a priori not only the scope of its manifold content, but also the positions which the parts occupy relatively to one another. The scientific con- cept of reason contains, therefore, the end and the form of that whole which is congruent with this requirement. The unity of the end to which all the parts relate and in the idea of which they all stand in relation to one another, makes it possible for us to determine from our knowledge of the other parts whether any part be missing, and to prevent any arbitrary addition, or in respect of its completeness any indeterminateness that does not conform to the limits which are thus determined a priori. The whole is thus an organised unity (articulatio), and not an aggregate (coacervatio). It may grow from within (per intus- susceptionem), but not by external addition (per appositionem). It is thus like an animal body, the growth of which is not by P 654 the addition of a new member, but by the rendering of each member, without change of proportion, stronger and more effective for its purposes. The idea requires for its realisation a schema, that is, a constituent manifold and an order of its parts, both of which must be determined a priori from the principle defined by its end. The schema, which is not devised in accordance with an idea, that is, in terms of the ultimate aim of reason, but em- pirically in accordance with purposes that are contingently occasioned (the number of which cannot be foreseen) yields technical unity; whereas the schema which originates from an idea (in which reason propounds the ends a priori, and does not wait for them to be empirically given) serves as the basis of architectonic unity. Now that which we call science, the schema of which must contain the outline (monogramma) and the division of the whole into parts, in conformity with the idea, that is, a priori, and in so doing must distinguish it with certainty and according to principles from all other wholes, is not formed in technical fashion, in view of the similarity of its manifold constituents or of the contingent use of our know- ledge in concreto for all sorts of optional external ends, but in architectonic fashion, in view of the affinity of its parts and of their derivation from a single supreme and inner end, through which the whole is first made possible. No one attempts to establish a science unless he has an idea upon which to base it. But in the working out of the science the schema, nay even the definition which, at the start, he first gave of the science, is very seldom adequate to his idea. For this idea lies hidden in reason, like a germ in which the parts are still undeveloped and barely recognisable even under microscopic observation. Consequently, since sciences are de- vised from the point of view of a certain universal interest, we must not explain and determine them according to the description which their founder gives of them, but in con- formity with the idea which, out of the natural unity of the parts that we have assembled, we find to be grounded in reason itself. For we shall then find that its founder, and often even his latest successors, are groping for an idea which they have never succeeded in making clear to themselves, and that P 655 consequently they have not been in a position to determine the proper content, the articulation (systematic unity), and limits of the science. It is unfortunate that only after we have spent much time in the collection of materials in somewhat random fashion at the suggestion of an idea lying hidden in our minds, and after we have, indeed, over a long period assembled the materials in a merely technical manner, does it first become possible for us to discern the idea in a clearer light, and to devise a whole architectonically in accordance with the ends of reason. Systems seem to be formed in the manner of lowly organisms through a generatio aequivoca from the mere confluence of assembled concepts, at first imperfect, and only gradually attaining to completeness, although they one and all have had their schema, as the original germ, in the sheer self-develop- ment of reason. Hence, not only is each system articulated in accordance with an idea, but they are one and all organically united in a system of human knowledge, as members of one whole, and so as admitting of an architectonic of all human knowledge, which, at the present time, in view of the great amount of material that has been collected, or which can be obtained from the ruins of ancient systems, is not only pos- sible, but would not indeed be difficult. We shall content our- selves here with the completion of our task, namely, merely to outline the architectonic of all knowledge arising from pure reason; and in doing so we shall begin from the point at which the common root of our faculty of knowledge divides and throws out two stems, one of which is reason. By reason I here understand the whole higher faculty of knowledge, and am therefore contrasting the rational with the empirical. If I abstract from all the content of knowledge, objectively regarded, then all knowledge, subjectively regarded, is either historical or rational. Historical knowledge is cognitio ex datis; rational knowledge is cognitio ex principiis. However a mode of knowledge may originally be given, it is still, in relation to the individual who possesses it, simply historical, if he knows only so much of it as has been given to him from outside (and this in the form in which it has been given to him), whether through immediate experience or narration, or (as in the case P 656 of general knowledge) through instruction. Anyone, therefore, who has learnt (in the strict sense of that term) a system of philosophy, such as that of Wolff, although he may have all its principles, explanations, and proofs, together with the formal divisions of the whole body of doctrine, in his head, and, so to speak, at his fingers' ends, has no more than a complete historical knowledge of the Wolffian philosophy. He knows and judges only what has been given him. If we dispute a definition, he does not know whence to obtain another. He has formed his mind on another's, and the imi- tative faculty is not itself productive. In other words, his knowledge has not in him arisen out of reason, and although, objectively considered, it is indeed knowledge due to reason, it is yet, in its subjective character, merely historical. He has grasped and kept; that is, he has learnt well, and is merely a plaster-cast of a living man. Modes of rational knowledge which are rational objectively (that is, which can have their first origin solely in human reason) can be so entitled sub- jectively also, only when they have been derived from uni- versal sources of reason, that is, from principles -- the sources from which there can also arise criticism, nay, even the rejec- tion of what has been learnt. All knowledge arising out of reason is derived either from concepts or from the construction of concepts. The former is called philosophical, the latter mathematical. I have already treated of the fundamental difference between these two modes of knowledge in the first chapter [of this Transcendental Doc- trine of Method]. Knowledge [as we have just noted] can be objectively philosophical, and yet subjectively historical, as is the case with most novices, and with all those who have never looked beyond their School, and who remain novices all their lives. But it is noteworthy that mathematical knowledge, in its subjective character, and precisely as it has been learned, can also be regarded as knowledge arising out of reason, and that there is therefore in regard to mathematical knowledge no such distinction as we have drawn in the case of philosophical know- ledge. This is due to the fact that the sources of knowledge, from which alone the teacher can derive his knowledge, lie no- where but in the essential and genuine principles of reason, and consequently cannot be acquired by the novice from any other P 657 source, and cannot be disputed; and this, in turn, is owing to the fact that the employment of reason is here in concreto only, although likewise a priori, namely, in intuition which is pure, and which precisely on that account is infallible, excluding all illusion and error. Mathematics, therefore, alone of all the sciences (a priori) arising from reason, can be learned; philo- sophy can never be learned, save only in historical fashion; as regards what concerns reason, we can at most learn to philosophise. Philosophy is the system of all philosophical knowledge. If we are to understand by it the archetype for the estimation of all attempts at philosophising, and if this archetype is to serve for the estimation of each subjective philosophy, the struc- ture of which is often so diverse and liable to alteration, it must be taken objectively. Thus regarded, philosophy is a mere idea of a possible science which nowhere exists in concreto, but to which, by many different paths, we endeavour to approximate, until the one true path, overgrown by the products of sen- sibility, has at last been discovered, and the image, hitherto so abortive, has achieved likeness to the archetype, so far as this is granted to [mortal] man. Till then we cannot learn philosophy; for where is it, who is in possession of it, and how shall we recognise it? We can only learn to philosophise, that is, to exercise the talent of reason, in accordance with its universal principles, on certain actually existing attempts at philosophy, always, however, reserving the right of reason to investigate, to confirm, or to reject these principles in their very sources. Hitherto the concept of philosophy has been a merely schol- astic concept -- a concept of a system of knowledge which is sought solely in its character as a science, and which has there- fore in view only the systematic unity appropriate to science, and consequently no more than the logical perfection of know- ledge. But there is likewise another concept of philosophy, a conceptus cosmicus, which has always formed the real basis of the term 'philosophy', especially when it has been as it were personified and its archetype represented in the ideal philo- sopher. On this view, philosophy is the science of the relation of all knowledge to the essential ends of human reason P 658 (teleologia rationis humanae), and the philosopher is not an artificer in the field of reason, but himself the lawgiver of human reason. In this sense of the term it would be very vainglorious to entitle oneself a philosopher, and to pretend to have equalled the pattern which exists in the idea alone. The mathematician, the natural philosopher, and the logician, however successful the two former may have been in their advances in the field of rational knowledge, and the two latter more especially in philosophical knowledge, are yet only artificers in the field of reason. There is a teacher, [conceived] in the ideal, who sets them their tasks, and employs them as instruments, to further the essential ends of human reason. Him alone we must call philosopher; but as he nowhere exists, while the idea of his legislation is to be found in that reason with which every human being is endowed, we shall keep entirely to the latter, determining more precisely what philo- sophy prescribes as regards systematic unity, in accordance with this cosmical concept, from the standpoint of its essential ends. Essential ends are not as such the highest ends; in view of the demand of reason for complete systematic unity, only one of them can be so described. Essential ends are therefore either the ultimate end or subordinate ends which are neces- sarily connected with the former as means. The former is no other than the whole vocation of man, and the philosophy which deals with it is entitled moral philosophy. On account of this superiority which moral philosophy has over all other occupations of reason, the ancients in their use of the term 'philosopher' always meant, more especially, the moralist; and even at the present day we are led by a certain analogy to entitle anyone a philosopher who appears to exhibit self-control under the guidance of reason, however limited his knowledge may be. ++ By 'cosmical concept' [Weltbegriff] is here meant the concept which relates to that in which everyone necessarily has an interest; and accordingly if a science is to be regarded merely as one of the disciplines designed in view of certain optionally chosen ends, I must determine it in conformity with scholastic concepts. P 658 The legislation of human reason (philosophy) has two objects, nature and freedom, and therefore contains not only P 659 the law of nature, but also the moral law, presenting them at first in two distinct systems, but ultimately in one single philosophical system. The philosophy of nature deals with all that is, the philosophy of morals with that which ought to be. All philosophy is either knowledge arising out of pure reason, or knowledge obtained by reason from empirical principles. The former is termed pure, the latter empirical philosophy. The philosophy of pure reason is either a propaedeutic (preparation), which investigates the faculty of reason in respect of all its pure a priori knowledge, and is entitled the science which exhibits in systematic connection the whole body (true as well as illusory) of philosophical knowledge arising out of pure reason, and which is entitled metaphysics. The title 'metaphysics' may also, however, be given to the whole of pure philosophy, inclusive of criticism, and so as com- prehending the investigation of all that can ever be known a priori as well as the exposition of that which constitutes a system of the pure philosophical modes of knowledge of this type -- in distinction, therefore, from all empirical and from all mathematical employment of reason. Metaphysics is divided into that of the speculative and that of the practical employment of pure reason, and is there- fore either metaphysics of nature or metaphysics of morals. The former contains all the principles of pure reason that are derived from mere concepts (therefore excluding mathe- matics), and employed in the theoretical knowledge of all things; the latter, the principles which in a priori fashion determine and make necessary all our actions. Now morality is the only code of laws applying to our actions which can be derived completely a priori from principles. Accordingly, the metaphysics of morals is really pure moral philosophy, with no underlying basis of anthropology or of other empirical conditions. The term 'metaphysics', in its strict sense, is com- monly reserved for the metaphysics of speculative reason. But as pure moral philosophy really forms part of this special P 660 branch of human and philosophical knowledge derived from pure reason, we shall retain for it the title 'metaphysics'. We are not, however, at present concerned with it, and may there- fore leave it aside. It is of the utmost importance to isolate the various modes of knowledge according as they differ in kind and in origin, and to secure that they be not confounded owing to the fact that usually, in our employment of them, they are combined. What the chemist does in the analysis of substances, and the mathematician in his special disciplines, is in still greater degree incumbent upon the philosopher, that he may be able to determine with certainty the part which belongs to each special kind of knowledge in the diversified employment of the understanding and its special value and influence. Human reason, since it first began to think, or rather to reflect, has never been able to dispense with a metaphysics; but also has never been able to obtain it in a form sufficiently free from all foreign elements. The idea of such a science is as old as speculative human reason; and what rational being does not speculate, either in scholastic or in popular fashion? It must be admitted, however, that the two elements of our knowledge -- that which is in our power completely a priori, and that which is obtainable only a posteriori from experience -- have never been very clearly distinguished, not even by professional thinkers, and that they have therefore failed to bring about the delimita- tion of a special kind of knowledge, and thereby the true idea of the science which has preoccupied human reason so long and so greatly. When metaphysics was declared to be the science of the first principles of human knowledge, the intention was not to mark out a quite special kind of knowledge, but only a certain precedence in respect of generality, which was not sufficient to distinguish such knowledge from the empirical. For among empirical principles we can distinguish some that are more general, and so higher in rank than others; but where in such a series of subordinated members -- a series in which we do not distinguish what is completely a priori from what is known only a posteriori -- are we to draw the line which distinguishes the highest or first members from the lower subordinate members? What should we say, if in the P 661 reckoning of time we could distinguish the epochs of the world only by dividing them into the first centuries and those that follow? We should ask: Does the fifth, the tenth century, etc. , belong with the first centuries? So in like manner I ask: Does the concept of the extended belong to metaphysics? You answer, Yes. Then, that of body too? Yes. And that of fluid body? You now become perplexed; for at this rate every- thing will belong to metaphysics. It is evident, therefore, that the mere degree of subordination (of the particular under the general) cannot determine the limits of a science; in the case under consideration, only complete difference of kind and of origin will suffice. But the fundamental idea of metaphysics was obscured on yet another side, owing to its exhibiting, as a priori knowledge, a certain similarity to mathematics. Certainly they are related, in so far as they both have an a priori origin; but when we bear in mind the difference between philosophical and mathematical knowledge, namely, that the one is derived from concepts, whereas in the other we arrive at a priori judgments only through the construction which has indeed always been in a manner felt but could never be defined by means of any clear criteria. Thus it has come about that since philosophers failed in the task of developing even the idea of their science, they could have no determinate end or secure guidance in the elaboration of it, and, accordingly, in this arbitrarily conceived enter- prise, ignorant as they were of the path to be taken, they have always been at odds with one another as regards the dis- coveries which each claimed to have made on his own separate path, with the result that their science has been brought into contempt, first among outsiders, and finally even among themselves. All pure a priori knowledge, owing to the special faculty of knowledge in which alone it can originate, has in itself a peculiar unity; and metaphysics is the philosophy which has as its task the statement of that knowledge in this systematic unity. Its speculative part, which has especially appropriated this name, namely, what we entitle metaphysics of nature, and which considers everything in so far as it is (not that which P 662 ought to be) by means of a priori concepts, is divided in the following manner. Metaphysics, in the narrower meaning of the term, con- sists of transcendental philosophy and physiology of pure reason. The former treats only of the understanding and of reason, in a system of concepts and principles which relate to objects in general but take no account of objects that may be given (Ontologia); the latter treats of nature, that is, of the sum of given objects (whether given to the senses, or, if we will, to some other kind of intuition) and is therefore physiology -- although only rationalis. The employment of reason in this rational study of nature is either physical or hyperphysical, or, in more adequate terms, is either immanent or transcen- dent. The former is concerned with such knowledge of nature as can be applied in experience (in concreto), the latter with that connection of objects of experience which transcends all experience. This transcendent physiology has as its object either an inner connection or an outer connection, both, how- ever, transcending possible experience. As dealing with an inner connection it is the physiology of nature as a whole, that is, the transcendental knowledge of the world; as dealing with an outer connection, it is the physiology of the relation of nature as a whole to a being above nature, that is to say, it is the transcendental knowledge of God. Immanent physiology, on the other hand, views nature as the sum of all objects of the senses, and therefore just as it is given us, but solely in accordance with a priori conditions, under which alone it can ever be given us. There are only two kinds of such objects. Those of the outer senses, and so their sum, corporeal nature. The object of inner sense, the soul, and in accordance with our fundamental concepts of it, thinking nature. The metaphysics of corporeal nature is entitled physics; and as it must contain only the principles of an a priori knowledge of it, rational physics. The metaphysics of thinking nature is entitled psychology, and on the same ground is to be understood as being only the rational know- ledge of it. The whole system of metaphysics thus consists of four main parts: (1) ontology; (2) rational physiology; (3) rational cosmology; (4) rational theology. The second part, namely, P 663 the doctrine of nature as developed by pure reason, contains two divisions physica rationalis and psychologia rationalis. The originative idea of a philosophy of pure reason itself prescribes this division, which is therefore architectonic, in accordance with the essential ends of reason, and not merely technical, in accordance with accidentally observed simil- arities, and so instituted as it were at haphazard. Accordingly the division is also unchangeable and of legislative authority. There are, however, some points which may well seem doubt- ful, and may weaken our conviction as to the legitimacy of its claims. First of all, how can I expect to have knowledge a priori (and therefore a metaphysics) of objects in so far as they are given to our senses, that is, given in an a posteriori manner? And how is it possible to know the nature of things and to arrive at a rational physiology according to principles a priori? The answer is this: we take nothing more from experi- ence than is required to give us an object of outer or of inner sense. The object of outer sense we obtain through the mere concept of matter (impenetrable, lifeless extension), the object of inner sense through the concept of a thinking being (in the empirical inner representation, 'I think'). As to the rest, in the whole metaphysical treatment of these objects, we must en- tirely dispense with all empirical principles which profess to add to these concepts any other more special experience, with a view to our passing further judgments upon the objects. ++ I must not be taken as meaning thereby what is commonly called physica generalis; the latter is rather mathematics than phil- osophy of nature. The metaphysics of nature is quite distinct from mathematics. It is very far from enlarging our knowledge in the fruitful manner of mathematics, but still is very important as yield- ing a criticism of the pure knowledge of understanding in its application to nature. For lack of it, even mathematicians, holding to certain common concepts, which though common are yet in fact metaphysical, have unconsciously encumbered their doctrine of nature with hypotheses which vanish upon criticism of the prin- ciples involved, without, however, doing the least injury to the employment of mathematics -- employment which is quite indis- pensable in this field. P 663 Secondly, how are we to regard empirical psychology, P 664 which has always claimed its place in metaphysics, and from which in our times such great things have been expected for the advancement of metaphysics, the hope of succeeding by a priori methods having been abandoned. I answer that it be- longs where the proper (empirical) doctrine of nature belongs, namely, by the side of applied philosophy, the a priori prin- ciples of which are contained in pure philosophy; it is therefore so far connected with applied philosophy, though not to be confounded with it. Empirical psychology is thus completely banished from the domain of metaphysics; it is indeed already completely excluded by the very idea of the latter science. In conformity, however, with scholastic usage we must allow it some sort of a place (although as an episode only) in meta- physics and this from economical motives, because it is not yet so rich as to be able to form a subject of study by itself, and yet is too important to be entirely excluded and forced to settle elsewhere, in a neighbourhood that might well prove much less congenial than that of metaphysics. Though it is but a stranger it has long been accepted as a member of the house- hold, and we allow it to stay for some time longer, until it is in a position to set up an establishment of its own in a complete anthropology, the pendant to the empirical doctrine of nature. Such, then, in general, is the idea of metaphysics. At first more was expected from metaphysics than could reasonably be demanded, and for some time it diverted itself with pleasant anticipations. But these hopes having proved deceptive, it has now fallen into general disrepute. The argument of our Critique, taken as a whole, must have sufficiently convinced the reader that although metaphysics cannot be the foundation of religion, it must always continue to be a bulwark of it, and that human reason, being by its very nature dialectical, can never dispense with such a science, which curbs it, and by a scientific and completely convincing self-knowledge, prevents the devastations of which a lawless speculative reason would otherwise quite inevitably be guilty in the field of morals as well as in that of religion. We can therefore be sure that how- ever cold or contemptuously critical may be the attitude of those who judge a science not by its nature but by its acci- dental effects, we shall always return to metaphysics as to a be- loved one with whom we have had a quarrel. For here we are P 665 concerned with essential ends -- ends with which metaphysics must ceaselessly occupy itself, either in striving for genuine insight into them, or in refuting those who profess already to have attained it. Metaphysics, alike of nature and of morals, and especially that criticism of our adventurous and self-reliant reason which serves as an introduction or propaedeutic to metaphysics, alone properly constitutes what may be entitled philosophy, in the strict sense of the term. Its sole preoccupation is wisdom; and it seeks it by the path of science, which, once it has been trodden, can never be overgrown, and permits of no wander- ing. Mathematics, natural science, even our empirical know- ledge, have a high value as means, for the most part, to con- tingent ends, but also, in the ultimate outcome, to ends that are necessary and essential to humanity. This latter service, however, they can discharge only as they are aided by a know- ledge through reason from pure concepts, which, however we may choose to entitle it, is really nothing but metaphysics. For the same reason metaphysics is also the full and com- plete development of human reason. Quite apart from its influence, as science, in connection with certain specific ends it is an indispensable discipline. For in dealing with reason it treats of those elements and highest maxims which must form the basis of the very possibility of some sciences, and of the use of all. That, as mere speculation, it serves rather to prevent errors than to extend knowledge, does not detract from its value. On the contrary this gives it dignity and authority, through that censorship which secures general order and har- mony, and indeed the well-being of the scientific common- wealth, preventing those who labour courageously and fruit- fully on its behalf from losing sight of the supreme end, the happiness of all mankind. P 666 THE TRANSCENDENTAL DOCTRINE OF METHOD CHAPTER IV THE HISTORY OF PURE REASON THIS title stands here only in order to indicate one remaining division of the system, which future workers must complete. I content myself with casting a cursory glance, from a purely transcendental point of view, namely, that of the nature of pure reason, on the works of those who have laboured in this field -- a glance which reveals [many stately] structures, but in ruins only. It is a very notable fact, although it could not have been otherwise, that in the infancy of philosophy men began where we should incline to end, namely, with the knowledge of God, occupying themselves with the hope, or rather indeed with the specific nature, of another world. However gross the religious concepts generated by the ancient practices which still persisted in each community from an earlier more barbarous state, this did not prevent the more enlightened members from devoting themselves to free investigation of these matters; and they easily discerned that there could be no better ground or more dependable way of pleasing the in- visible power that governs the world, and so of being happy in another world at least, than by living the good life. Ac- cordingly theology and morals were the two motives, or rather the two points of reference, in all those abstract enquiries of reason to which men came to devote themselves. It was chiefly, however, the former that step by step committed the purely speculative reason to those labours which afterwards became so renowned under the name of metaphysics. P 667 I shall not here attempt to distinguish the periods of his- tory in which this or that change in metaphysics came about, but shall only give a cursory sketch of the various ideas which gave rise to the chief revolutions [in metaphysical theory]. And here I find that there are three issues in regard to which the most noteworthy changes have taken place in the course of the resulting controversies. 1. In respect of the object of all our 'knowledge through reason', some have been mere sensualists, others mere intel- lectualists. Epicurus may be regarded as the outstanding philosopher among the former, and Plato among the latter. The distinction between the two schools, subtle as it is, dates from the earliest times; and the two positions have ever since been maintained in unbroken continuity. Those of the former school maintained that reality is to be found solely in the objects of the senses, and that all else is fiction; those of the latter school, on the other hand, declared that in the senses there is nothing but illusion, and that only the understanding knows what is true. The former did not indeed deny reality to the concepts of the understanding; but this reality was for them merely logical, whereas for the others it was mystical. The former conceded intellectual concepts, but admitted sensible objects only. The latter required that true objects should be purely intelligible, and maintained that by means of the pure understanding we have an intuition that is unaccompanied by the senses -- the senses, in their view, serving only to confuse the understanding. 2. In respect of the origin of the modes of 'knowledge through pure reason', the question is as to whether they are derived from experience, or whether in independence of ex- perience they have their origin in reason. Aristotle may be regarded as the chief of the empiricists, and Plato as the chief of the noologists. Locke, who in modern times followed Aristotle, and Leibniz, who followed Plato (although in con- siderable disagreement with his mystical system), have not been able to bring this conflict to any definitive conclusion. However we may regard Epicurus, he was at least much more consistent in this sensual system than Aristotle and Locke, inasmuch as he never sought to pass by inference beyond the limits of experience. This is especially true as regards Locke, P 668 who, after having derived all concepts and principles from experience, goes so far in the use of them as to assert that we can prove the existence of God and the immortality of the soul with the same conclusiveness as any mathematical pro- position -- though both lie entirely outside the limits of possible experience. 3. In respect of method. -- If anything is to receive the title of method, it must be a procedure in accordance with principles. We may divide the methods now prevailing in this field of enquiry into the naturalistic and the scientific. The naturalist of pure reason adopts as his principle that through common reason, without science, that is, through what he calls sound reason, he is able, in regard to those most sublime questions which form the problem of metaphysics, to achieve more than is possible through speculation. Thus he is virtu- ally asserting that we can determine the size and distance of the moon with greater certainty by the naked eye than by mathematical devices. This is mere misology, reduced to principles; and what is most absurd of all, the neglect of all artificial means is eulogised as a special method of extending our knowledge. For as regards those who are naturalists from lack of more insight, they cannot rightly be blamed. They follow common reason, without boasting of their ignorance as a method which contains the secret how we are to fetch truth from the deep well of Democritus. Quod sapio, satis est mihi, non ego curo, esse quod Arcesilas aerumnosique Solones is the motto with which they may lead a cheerful and praiseworthy life, not troubling themselves about science, nor by their interference bringing it into confusion. As regards those who adopt a scientific method, they have the choice of proceeding either dogmatically or sceptically; but in any case they are under obligation to proceed system- atically. I may cite the celebrated Wolff as a representative of the former mode of procedure, and David Hume as a repre- sentative of the latter, and may then, conformably with my present purpose, leave all others unnamed. The critical path alone is still open. If the reader has had the courtesy and patience to accompany me along this path, he may now judge for himself whether, if he cares to lend his aid in making this P 669 path into a high-road, it may not be possible to achieve be- fore the end of the present century what many centuries have not been able to accomplish; namely, to secure for human reason complete satisfaction in regard to that with which it has all along so eagerly occupied itself, though hitherto in vain. P 668n ++ Persius.