Between Logic and Intuition: Essays in Honor of Charles Parsons

ISBN-13: 9780521650762 / Angielski / Twarda / 2000 / 352 str.

Gila Sher; Richard Tieszen

Opis

This collection of new essays offers a "state-of-the-art" conspectus of major trends in the philosophy of logic and philosophy of mathematics. A distinguished group of philosophers addresses issues at the center 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 published here for the first time. The essays are presented to honor the work of Charles Parsons.

Spis treści

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.