Defending the Axioms: On the Philosophical Foundations of Set Theory (Hardback)
  • Defending the Axioms: On the Philosophical Foundations of Set Theory (Hardback)

Defending the Axioms: On the Philosophical Foundations of Set Theory (Hardback)

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Hardback Published: 27/01/2011
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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.

Publisher: Oxford University Press
ISBN: 9780199596188

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