New directions in the philosophy of mathematics : an anthology (Book, 1998) [University of Maryland, College Park]
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New directions in the philosophy of mathematics : an anthology

Author: Thomas Tymoczko
Publisher: Princeton, N.J. : Princeton University Press, ©1998.
Series: Princeton paperbacks.
Edition/Format:   Print book : English : Rev. and expanded edView all editions and formats
Summary:
"The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics -  Read more...
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Details

Document Type: Book
All Authors / Contributors: Thomas Tymoczko
ISBN: 0691034982 9780691034980
OCLC Number: 38578550
Notes: Originally published in 1986; first Princeton paperback, 1998.
Description: xvii, 436 pages ; 24 cm
Contents: Some proposals for reviving the philosophy of mathematics / Reuben Hersh --
A renaissance of empiricism in the recent philosophy of mathematics? / Imre Lakatos --
What is mathematical truth? / Hilary Putnam --
"Modern" mathematics: an educational and philosophic error? / René Thom --
Mathematics as an objective science / Nicholas D. Goodman --
From the preface of Induction and analogy in mathematics / George Polya --
Generalization, specialization, analogy / George Polya --
Theory and practice in mathematics / Hao Wang --
What does a mathematical proof prove? / Imre Lakatos --
Fidelity in mathematical discourse: is one and one really two? / Philip J. Davis --
The ideal mathematician / Philip J. Davis and Reuben Hersh. The cultural basis of mathematics / Raymond L. Wilder --
Is mathematical truth time-dependent? / Judith V. Grabiner --
Mathematical change and scientific change / Philip Kitcher --
The four-color problem and its philosophical significance / Thomas Tymoczko --
Social processess and proofs of theorems and programs / Richard A. De Millo, Richard J. Lipton, and Alan J. Perlis --
Information-theoretic computational complexity and Gödel's theorem and information / Gregory Chaitlin --
Proof as a source of truth / Michael D. Resnik --
On proof and progress in mathematics / William P. Thurston --
Does V equal L? / Penelope Maddy.
Series Title: Princeton paperbacks.
Responsibility: edited by Thomas Tymoczko.

Abstract:

Offers a "postmodern" ' assessment of the philosophy of mathematics - one that addresses issues of theoretical importance in terms of mathematical experience. This book reveals an effort to account  Read more...
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