Between Logic and Intuition
Essays in Honor of Charles Parsons

Offers a conspectus of major trends in the philosophy of logic and mathematics.

Gila Sher (Edited by), Richard Tieszen (Edited by)

9780521650762, Cambridge University Press

Hardback, published 28 March 2000

352 pages, 5 b/w illus.
23.8 x 16.2 x 2.6 cm, 0.62 kg

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.

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.

Subject Areas: Philosophy of science [PDA], Mathematics [PB]