Between logic and intuition : essays in honor of Charles Parsons
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Bibliographic Information
Between logic and intuition : essays in honor of Charles Parsons
Cambridge University Press, 2000
- : hardback
- : paperback
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Includes bibliographical references and index
Description and Table of Contents
Description
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.
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. Goedel 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.
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