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A Structural Account of Mathematics.
Charles Chihara presents 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...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Oxford :
Oxford University Press, UK,
2007.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 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.