Defending the Axioms : On the Philosophical Foundations of Set Theory

English

ISBN: 0199596182

EAN: 9780199596188

Category: Mathematics / Set Theory

Publisher: Oxford University Press, Incorporated

Release Date: 03/01/2011

Synopsis: 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 Axiomsisolates 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.

Excerpt: Unknown Property Excerpt

Defending the Axioms : On the Philosophical Foundations of Set Theory

Illustrated: No

Format: Hardcover

Height: 0.31 inches

Width: 5.43 inches

Length: 8.5 inches

Weight: 10.58 oz

Pages: 144