A Structural Account of Mathematics

Erscheinungsjahr 2003
ISBN: 978-0-19-926753-8
Verlag: OUP Oxford

Buch, Englisch, 394 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 757 g

Charles Chihara's 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. He also advances several new ways of undermining the Platonic view of mathematics.

Charles Chihara's new book 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. The view is used to show that, in order to un

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

Autoren/Hrsg.

Chihara, Charles S.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik

Über Autor(innen)

(Department of Philosophy, University of California, Berkeley, USA)