Philosophy of mathematics
Surveys historical and modern positions of mathematics. This book analyzes and evaluates traditional theories (Platonism, Aristotelianism, and Kantianism), and modern theories (logicism, formalism, constructivism, and factionalism). It discusses research in related fields (set theory, computability...
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| Format: | Book |
| Language: | English |
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Burlington, Massachusetts ; Amsterdam, Netherlands :
North Holland/Elsevier ,
c2009
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| Series: | Handbook of the Philosophy of Science
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| Subjects: |
Table of Contents:
- 1. Les liaisons dangereuses
- 2. Realism and a nit-realism in mathematics
- 3. Aristotelian realism
- 4. Empiricism in the philosophy of mathematics
- 5. A Kantian perspective on the philosophy of mathematics
- 6. Logicism
- 7. Formalism
- 8. Constructivism in mathematics
- 9. Fictionalism
- 10. Set theory from Cantor to Cohen
- 11. Alternative set theories
- 12. Philosophies of probability
- 13. On computability
- 14. Inconsistent mathematics
- 15. Mathematics and the world