What Is Mathematics, Really?

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Oxford University Press, 1997 - Medical - 343 pages
2 Reviews
Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos.
What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
  

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What is mathematics, Really?

User Review  - Not Available - Book Verdict

Hersh, mathematician and coauthor of The Mathematical Experience (1983), attempts to answer here the philosophical question, "What is mathematics?" Many practitioners think of themselves as ... Read full review

Review: What Is Mathematics, Really?

User Review  - Glenn Kriger - Goodreads

A great book for a philosophical nerd. Read full review

Contents

Survey and Proposals
3
Criteria for a Philosophy of Mathematics
24
MythsMistakesMisunderstandings
35
IutuitionProofCertniuty
48
Five Classical Puzzles
72
Mainstream Before the Crisis
91
Mainstream Philosophy at Its Peak119
119
Mainstream Since the Crisis
137
Humanists and Mavericks of Old
182
Modern Humanists and Mavericks
198
Coutemporary Humanists and Mavericks
220
mathematics
235
Mathematical NotesCommeuts
251
Mathematical issues from chapters 113 A simple account of square
314
Index
335
Copyright

Foundationism DicsMainstream Lives
165

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About the author (1997)


Reuben Hersh taught at several distinguished colleges and universities around the country. Now retired, he resides in Santa Fe, New Mexico.

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