Description

Book Synopsis
Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate.

Trade Review
'an engaging contribution to an important philosophical debate [which] deserves to be read far beyond the ranks of philosophers of mathematics' * Journal of Philosophy *

Table of Contents
Introduction ; 1. The Problem ; 2. Proper Method ; 3. Thin Realism ; 4. Arealism ; 5. Morals ; Bibliography

Defending the Axioms

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    A Paperback by Penelope Maddy

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      Book details

      Publisher Oxford University Press
      Published 3 July 2013
      ISBN-13 9780199671489
      978-0199671489
      ISBN-10 0199671486
      Also in:
      Mathematics Set theory Philosophy: logic Science & Nature Philosophy of science

      Description

      Book Synopsis
      Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate.

      Trade Review
      'an engaging contribution to an important philosophical debate [which] deserves to be read far beyond the ranks of philosophers of mathematics' * Journal of Philosophy *

      Table of Contents
      Introduction ; 1. The Problem ; 2. Proper Method ; 3. Thin Realism ; 4. Arealism ; 5. Morals ; Bibliography

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