Mathematics as a Science of Patterns

Format:

Book

Author/Creator:

Resnik, Michael D., author.

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Physical Description:

1 online resource (xiii, 285 pages) : illustrations.

Place of Publication:

Oxford : Clarendon, 1997.

Language Note:

English

Summary:

Resnik expresses his commitment to a structuralist philosophy of mathematics and links this to a defence of realism about the metaphysics of mathematics - the view that mathematics is about things that really exist.

Contents:

1. Introduction

2. What is Mathematical Realism?

3. The Case for Mathematical Realism

4. Recent Attempts at Blunting the Indispensability Thesis

5. Doubts about Realism

6. The Elusive Distinction between Mathematics and Natural Science

7. Holism: Evidence in Science and Mathematics

8. The Local Conception of Mathematical Evidence: Proof, Computation, and Logic

9. Positing Mathematical Objects

10. Mathematical Objects as Positions in Patterns

11. Patterns and Mathematical Knowledge

12. What is Structuralism? And Other Questions.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on print version record.

Other Format:

Print version

ISBN:

0-19-159829-1

9780191519000

9786611970376

OCLC:

36011733