Mathematics as a science of patterns /
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.
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| Format: | eBook |
| Language: | English |
| Language Notes: | English. |
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Oxford : Oxford ; New York :
Clarendon Press ; Oxford University Press,
©1997.
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| Online Access: | Connect to the full text of this electronic book |
Table of 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.