Repository | 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.

DOI: 10.1007/978-1-349-22119-6

Full citation:

Kant and mathematics, an outline

Folina Janet

1-29

Introduction to Poincaré's theory of the synthetic a priori

Folina Janet

30-40

Defending mathematical apriorism

Folina Janet

41-70

Logic and intuition

Folina Janet

71-92

The attack on logicism

Folina Janet

93-111

Set theory and the continuum

Folina Janet

112-144

Poincaré's theory of predicativity

Folina Janet

145-173

Poincaré's theory of meaning

Folina Janet

174-189

Conclusion

Folina Janet

190-192