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Poincaré and the philosophy of mathematics

Janet Folina

Abstrakt

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.

Details | Inhaltsverzeichnis

Kant and mathematics, an outline Janet Folina

pp.1-29

https://doi.org/10.1007/978-1-349-22119-6_1

Introduction to Poincaré's theory of the synthetic a priori Janet Folina

pp.30-40

https://doi.org/10.1007/978-1-349-22119-6_2

Defending mathematical apriorism Janet Folina

pp.41-70

https://doi.org/10.1007/978-1-349-22119-6_3

Logic and intuition Janet Folina

pp.71-92

https://doi.org/10.1007/978-1-349-22119-6_4

The attack on logicism Janet Folina

pp.93-111

https://doi.org/10.1007/978-1-349-22119-6_5

Set theory and the continuum Janet Folina

pp.112-144

https://doi.org/10.1007/978-1-349-22119-6_6

Poincaré's theory of predicativity Janet Folina

pp.145-173

https://doi.org/10.1007/978-1-349-22119-6_7

Poincaré's theory of meaning Janet Folina

pp.174-189

https://doi.org/10.1007/978-1-349-22119-6_8

Conclusion Janet Folina

pp.190-192

https://doi.org/10.1007/978-1-349-22119-6_9

Publication details

Publisher: Palgrave Macmillan

Ort: Basingstoke

Year: 1992

Seiten: 202

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

ISBN (hardback): 978-1-349-22121-9

ISBN (digital): 978-1-349-22119-6

Referenz:

Folina Janet (1992) Poincaré and the philosophy of mathematics. Basingstoke, Palgrave Macmillan.