Philosophy of mathematics /
One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in...
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| Format: | eBook |
| Language: | English |
| Published: |
Amsterdam ; Heidelberg :
Elsevier,
2007.
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| Series: | Handbook of the philosophy of science ;
4. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 1. The Foundations of Mathematics (W.D. Hart)
- 2. Realism (Mark Balaguer)
- 3. Aristotelian Realism (James Franklin)
- 4. Empiricism (David Bostock)
- 5. Kantianism (Mary Tiles)
- 6. Logism (Jaakko Hintikka)
- 7. Formalism (Peter Simons)
- 8. Constructivism (David McCarty)
- 9. Fictionalism (Daniel Bonevac)
- 10. Structuralism (Fraser MacBride)
- 11. Set Theory from Cantor to Cohen (Akihiro Kanamori)
- 12. Alternative Set Theories (Peter Apostoli, Roland Hinnion, Akira Kanda & Thierry Libert)
- 13. Philosophies of Probability (Jon Williamson)
- 14. Computability (Wilfried Sieg)
- 15. Inconsistent Mathematics (Chris Mortensen)
- 16. Mathematics and the World (Mark Colyvan).