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Palgrave Macmillan

Poincaré and the Philosophy of Mathematics

  • Book
  • © 1992

Overview

Authors:
  1. Janet Folina

    1. MacAlaster College, St. Paul, USA

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Kant and Mathematics, an Outline

    • Janet Folina
    Pages 1-29

  3. Introduction to Poincaré’s Theory of the Synthetic A Priori

    • Janet Folina
    Pages 30-40

  4. Defending Mathematical Apriorism

    • Janet Folina
    Pages 41-70

  5. Logic and Intuition

    • Janet Folina
    Pages 71-92

  6. The Attack on Logicism

    • Janet Folina
    Pages 93-111

  7. Set Theory and the Continuum

    • Janet Folina
    Pages 112-144

  8. Poincaré’s Theory of Predicativity

    • Janet Folina
    Pages 145-173

  9. Poincaré’s Theory of Meaning

    • Janet Folina
    Pages 174-189

  10. Conclusion

    • Janet Folina
    Pages 190-192

  11. Back Matter

    Pages 193-202
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Keywords

About this book

This book is a sympathetic reconstruction of Henri Poincar's anti-realist philosophy of mathematics. Although Poincar is recognized as the greatest mathematician of the late 19th century, his contribution to the philosophy of mathematics is not highly regarded. Many regard his remarks as idiosyncratic, and based upon a misunderstanding of logic and logicism. This book argues that Poincar's critiques are not based on misunderstanding; rather, they are grounded in a coherent and attractive foundation of neo-Kantian constructivism.

Authors and Affiliations

  • MacAlaster College, St. Paul, USA

    Janet Folina

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