Defending the axioms : on the philosophical foundations of set theory

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書誌事項

Defending the axioms : on the philosophical foundations of set theory

Penelope Maddy

Oxford University Press, 2013, c2011

  • : pbk.

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注記

Includes bibliographical references (p. [138]-146) and index

内容説明・目次

内容説明

Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments.

目次

  • Introduction
  • 1. The Problem
  • 2. Proper Method
  • 3. Thin Realism
  • 4. Arealism
  • 5. Morals
  • Bibliography

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