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.
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.
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.
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