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9780521038256

Between Logic and Intuition: Essays in Honor of Charles Parsons

by
  • ISBN13:

    9780521038256

  • ISBN10:

    0521038251

  • Edition: Revised
  • Format: Paperback
  • Copyright: 2007-07-02
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Preface
Logic
Paradox revisited I: truth
Paradox revisited II: sets - a case of all or none?
Truthlike and truthful operators
'Everything'
On second-order logic and natural language
The logical roots of indeterminacy
The logic of full belief
Intuition
Immediacy and the birth of reference in Kant: the case for space
Geometry, construction and intuition in Kant and his successors
Parsons on mathematical intuition and obviousness
G+ del and Quine on meaning and mathematics
Numbers, Sets and Classes
Must we believe in set theory?
Cantor-s Grundlagen and the paradoxes of set theory
Frege, the natural numbers and natural kinds
A theory of sets and classes
Challenges to predictive foundations of arithmetic
Name index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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