Defending the Axioms

On the Philosophical Foundations of Set Theory

By:

Penelope Maddy

Format:

Hardback

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Description

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.

Author Biography:

Penelope Maddy is Distinguished Professor of Logic and Philosophy of Science at the University of California, Irvine. She is the author of Naturalism in Mathematics (OUP, 1997), Realism in Mathematics (OUP, 1992), and Second Philosophy (OUP, 2007).

Release date NZ

January 27th, 2011

Author

Penelope Maddy

Pages

162

Audience

Professional & Vocational

Dimensions

153x223x18

ISBN-13

9780199596188

Product ID

9497902

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