A structural account of mathematics / Charles S. Chihara.

Format:

Book

Author/Creator:

Chihara, Charles S., author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Physical Description:

1 online resource (395 p.)

Edition:

1st ed.

Place of Publication:

Oxford : Clarendon, 2023.

Language Note:

English

Summary:

This work develops and defends 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.

Contents:

Preface; 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; Bibliography; Index

Notes:

Developed from a group of graduate seminars held at Berkeley in the late 1990's.

Previously issued in print: 2003.

Derived record based on print version record and publisher information.

ISBN:

1-383-04103-2

1-281-34613-6

0-19-153310-6

OCLC:

476260094