A Structural Account of Mathematics

A Structural Account of Mathematics

by Charles S. Chihara
ISBN-10:
0199267537
ISBN-13:
9780199267538
Pub. Date:
11/28/2003
Publisher:
Oxford University Press, USA
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Overview

A Structural Account of Mathematics

Charles Chihara's new book develops a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. In particular, this perspective allows Chihara to show that, in order to understand how mathematical systems are applied in science, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. He also advances several new ways of undermining the Platonic view of mathematics. Anyone working in the field will find much to reward and stimulate them here.

Product Details

ISBN-13: 9780199267538
Publisher: Oxford University Press, USA
Publication date: 11/28/2003
Pages: 400
Product dimensions: 9.30(w) x 6.30(h) x 1.20(d)

Table of Contents

Introduction
1. Five Puzzles in Search of an Explanation
2. Geometry and Mathematical Existence
3. The Van Inwagen Puzzle
4. Structuralism
5. Platonism
6. Minimal Anti-Nominalism
7. The Constructibility Theory
8. Constructible Structures
9. Applications
10. If-Thenism
11. Field's Account of Mathematics and Metalogic
Appendix A: Some Doubts about Hellman's Views
Appendix B: Balaguer's Fictionalism

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