THE GEOMETRY OF LOGIC

A Treatise on the Perspectival Transformations of Logic and Life

through the Systematic Mapping of Geometrical Symbolism

by Stephen Palmquist

A 300-page first draft of this book was completed in March, 1986. Since that time, I've made some changes in how I apply the mapping rules developed in that initial work. For this reason, the book cannot be published until it undergoes some fairly extensive revisions and updating. A partially updated version is now available on this web site, from the links given in the Table of Contents (below). A final revision will eventually be done before the work is published as a book. In the meantime, I have utilized the geometry of logic in many of my other writings, and have included concise introductions to the theory in the following publications:

  • The Tree of Philosophy, see especially Chapter XI ("Analysis in the Geometry of Logic") and Chapter XII ("Synthesis in the Geometry of Logic").
  • "Analysis and Synthesis in the Geometry of Logic", Indian Philosophical Quarterly 19:1 (January 1992), pp.1-14.
  • Kant's System of Perspectives, especially Chapter III ("The Architectonic Form of Kant's Copernican Logic").
  • "The Architectonic Form of Kant's Copernican Logic", Metaphilosophy 17:4 (October 1986), pp.266-288 (an early version of KSP, Chapter III).

    Please keep in mind that the version of the text given below is still tentative. In particular, none of the 200+ diagrams in the printed version have been reproduced here. If you want to know more about a particular diagram, or if you wish to cite any portions of The Geometry of Logic in your own research, please contact me first and I'll let you know whether or not there is a more up-to-date version available for the diagram/passage in question.

    Tentative Table of Contents

    PART ONE: THE GEOMETRY OF LOGIC
    IN RATIONAL ANALYSIS AND NATURAL SYNTHESIS

    I. Some Fundamental Logical Classifications
    II. Analytic Forms of Relation and Their Perspectival Transformation
    III. The Logic of Simple Synthetic Integration
    IV. Chaos (Or: The Reciprocity of Analysis and Synthesis in Complex and Dynamic Forms of Relation)

    PART TWO: THE GEOMETRY OF LOGIC
    IN THE CONSTITUTION OF NATURAL AND THEORETICAL SYSTEMS

    V. The Combination of Analysis and Synthesis in Numerical Symbolism
    VI. The Circle of Twelvefold Systemization
    VII. The Spiral of Sevenfold Dynamic Systemization

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    StevePq@hkbu.edu.hk
    This page was last updated on 18 September 1997