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9780521533416

An Introduction to the Philosophy of Mathematics

by
  • ISBN13:

    9780521533416

  • ISBN10:

    0521533414

  • Format: Paperback
  • Copyright: 2012-07-23
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Mathematics and its philosophy
The limits of mathematics
Plato's heaven
Fiction, metaphor, and partial truths
Mathematical explanation
The applicability of mathematics
Who's afraid of inconsistent mathematics?
A rose by any other name
Epilogue: desert island theorems
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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