The Nature of Mathematical Knowledge

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9780195035414: The Nature of Mathematical Knowledge
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This book argues against the view that mathematical knowledge is a priori, contending that mathematics is an empirical science and develops historically, just as natural sciences do. Kitcher presents a complete, systematic, and richly detailed account of the nature of mathematical knowledge
and its historical development, focusing on such neglected issues as how and why mathematical language changes, why certain questions assume overriding importance, and how standards of proof are modified.

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In this book Philip Kitcher argues against this 'mathematical apriorism.' He offers a fresh, alternative approach that links mathematics to natural science and portrays mathematics as a body of knowledge that evolves through its history.

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Philip Kitcher is at University of California, San Diego.

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