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An introduction to the philosophy of mathematics.
Author:
ISBN: 9780521826020 9780521533416 0521826020 0521533414 1139033107 1139411187 1139417460 113941951X 1139421557 1139422537 1139423606 1280774932 9786613685322 Year: 2012 Publisher: Cambridge Cambridge university press

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Abstract

"This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics"--

The indispensability of mathematics
Author:
ISBN: 019513754X 0195166612 0199833133 9786610534012 0198031440 128053401X 1423756762 9781423756767 9780195137545 9780195166613 Year: 2001 Publisher: New York Oxford University Press

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Abstract

The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities indispenable to certain scientific theories. This text examines the issues.


Book
Reduction and the special sciences
Authors: ---
Year: 2010 Publisher: Dordrecht: Springer,

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