Between Logic and Intuition: Essays in Honor of Charles Parsons

doi:10.1017/CBO9780511570681

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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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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Preface
pp vii-viii
- By Gila Sher, Richard Tieszen
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I - LOGIC
pp 1-2
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Paradox Revisited I: Truth
pp 3-15
- By Hilary Putnam
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Paradox Revisited II: Sets – A Case of All or None?
pp 16-26
- By Hilary Putnam
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Truthlike and Truthful Operators
pp 27-53
- By Arnold Koslow
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‘Everything’
pp 54-78
- By Vann McGee
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On Second-Order Logic and Natural Language
pp 79-99
- By James Higginbotham
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The Logical Roots of Indeterminacy
pp 100-123
- By Gila Sher
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The Logic of Full Belief
pp 124-152
- By Isaac Levi
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II - INTUITION
pp 153-154
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Immediacy and the Birth of Reference in Kant: The Case for Space
pp 155-185
- By Carl J. Posy
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Geometry, Construction and Intuition in Kant and his Successors
pp 186-218
- By Michael Friedman
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Parsons on Mathematical Intuition and Obviousness
pp 219-231
- By Michael D. Resnik
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Gödel and Quine on Meaning and Mathematics
pp 232-254
- By Richard Tieszen
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III - NUMBERS, SETS AND CLASSES
pp 255-256
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Must We Believe in Set Theory?
pp 257-268
- By George Boolos
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Cantor's Grundlagen and the Paradoxes of Set Theory
pp 269-290
- By W. W. Tait
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Frege, the Natural Numbers, and Natural Kinds
pp 291-298
- By Mark Steiner
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A Theory of Sets and Classes
pp 299-316
- By Penelope Maddy
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Challenges to Predicative Foundations of Arithmetic
pp 317-338
- By Solomon Feferman, Geoffrey Hellman
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Name Index
pp 339-342
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Between Logic and Intuition

Essays in Honor of Charles Parsons

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

I - LOGIC
pp 1-2

Paradox Revisited I: Truth
pp 3-15

Paradox Revisited II: Sets – A Case of All or None?
pp 16-26

Truthlike and Truthful Operators
pp 27-53

‘Everything’
pp 54-78

On Second-Order Logic and Natural Language
pp 79-99

The Logical Roots of Indeterminacy
pp 100-123

The Logic of Full Belief
pp 124-152

II - INTUITION
pp 153-154

Immediacy and the Birth of Reference in Kant: The Case for Space
pp 155-185

Geometry, Construction and Intuition in Kant and his Successors
pp 186-218

Parsons on Mathematical Intuition and Obviousness
pp 219-231

Gödel and Quine on Meaning and Mathematics
pp 232-254

III - NUMBERS, SETS AND CLASSES
pp 255-256

Must We Believe in Set Theory?
pp 257-268

Cantor's Grundlagen and the Paradoxes of Set Theory
pp 269-290

Frege, the Natural Numbers, and Natural Kinds
pp 291-298

A Theory of Sets and Classes
pp 299-316

Challenges to Predicative Foundations of Arithmetic
pp 317-338

Name Index
pp 339-342

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Between Logic and Intuition

Essays in Honor of Charles Parsons

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