Between Logic and Intuition

Between Logic and Intuition : Essays in Honor of Charles Parsons

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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.
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Product details

  • Paperback | 352 pages
  • 151 x 227 x 20mm | 533g
  • Cambridge, United Kingdom
  • English
  • Reissue
  • 5 Line drawings, unspecified
  • 0521038251
  • 9780521038256

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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