Between Logic and Intuition
This collection of essays offers a conspectus of major trends in the philosophy of logic and philosophy of mathematics. A distinguished group of philosophers addresses issues at the centre of contemporary debate: semantic and set-theoretic paradoxes, the set/class distinction, foundations of set theory, mathematical intuition and many others. The volume includes Hilary Putnam's 1995 Alfred Tarski lectures.
- A collection of essays on the philosophy of logic and philosophy of mathematics. We can do well with books in the philosophy of mathematics (e.g. Hintikka, Principles of Mathematics Revisited)
- Top-notch team of contributors
- Presents Hilary Putnam's 1995 Alfred Tarski lectures
Product details
July 2007Paperback
9780521038256
352 pages
227 × 151 × 20 mm
0.533kg
5 b/w illus.
Available
Table of Contents
- Preface
- Part I. Logic:
- 1. Paradox revisited I: truth
- 2. Paradox revisited II: sets - a case of all or none? Hilary Putnam
- 3. Truthlike and truthful operators Arnold Koslow
- 4. 'Everything' Vann McGee
- 5. On second-order logic and natural language James Higginbotham
- 6. The logical roots of indeterminacy Gila Sher
- 7. The logic of full belief Isaac Levi
- Part II. Intuition:
- 8. Immediacy and the birth of reference in Kant: the case for space Carl J. Posy
- 9. Geometry, construction and intuition in Kant and his successors Michael Friedman
- 10. Parsons on mathematical intuition and obviousness Michael D. Resnik
- 11. Gödel and Quine on meaning and mathematics Richard Tieszen
- Part III. Numbers, Sets and Classes:
- 12. Must we believe in set theory? George Boolos
- 13. Cantor's Grundlagen and the paradoxes of set theory W. W. Tait
- 14. Frege, the natural numbers and natural kinds Mark Steiner
- 15. A theory of sets and classes Penelope Maddy
- 16. Challenges to predictive foundations of arithmetic Solomon Feferman and Geoffrey Hellman
- Name index.