Defending the Axioms: On the Philosophical Foundations of Set Theory

Defending the Axioms: On the Philosophical Foundations of Set Theory

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Author/Contributor(s): Maddy, Penelope
Publisher: Oxford University Press, USA
Date: 05/05/2013
Binding: Paperback
Condition: NEW
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.