Between Logic and Intuition

Essays in Honor of Charles Parsons

Inbunden, Engelska, 2000

AvGila Sher,Richard Tieszen,San Diego) Sher, Gila (University of California,California) Tieszen, Richard (San Jose State University

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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.

Produktinformation

Utgivningsdatum2000-03-28
Mått162 x 238 x 26 mm
Vikt620 g
FormatInbunden
SpråkEngelska
Antal sidor352
FörlagCambridge University Press
ISBN9780521650762

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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.