(Antinomies)
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