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Poincare and the Philosophy of Mathematics : Studies in Contemporary Philosophy - Janet M. Folina

Poincare and the Philosophy of Mathematics

Studies in Contemporary Philosophy

Hardcover

Published: 1st July 1992
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This is a reconstruction of Henri Poincare's anti-realist philosophy of mathematics. Although Poincare is recognized as the greatest mathematician of the late 19th century, his contribution to the philosophy of mathematics is not generally highly regarded. Poincare criticized logicism and axiomatic set theory, and he argued that we have mathematical intuitions. Many regard his remarks as idiosyncratic, and based upon a misunderstanding of logic and logicism. This book argues that Poincare's critiques are not based on misunderstanding. Rather, they are grounded in a coherent and attractive foundation of neo-Kantian constructivity.

Preface - Introduction - Kant and Mathematics, an Outline - Introduction to Poincar 's Theory of the Synthetic a Priori - Defending Mathematical Apriorism - Logic and Intuition - The Attack on Logicism - Set Theory and the Continuum - Poincar 's Theory of Predicativity - Poincar 's Theory of Meaning - Conclusion - Bibliography - Index

ISBN: 9780333558324
ISBN-10: 0333558324
Series: Studies in Contemporary Philosophy
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 202
Published: 1st July 1992
Publisher: Palgrave Macmillan
Country of Publication: GB
Dimensions (cm): 22.3 x 14.5  x 1.6
Weight (kg): 0.44
Edition Number: 2