Defending the Axioms: On the Philosophical Foundations of Set Theory
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Book Overview
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.
Format:Hardcover
Language:English
ISBN:0199596182
ISBN13:9780199596188
Release Date:March 2011
Publisher:OUP Oxford
Length:162 Pages
Weight:0.70 lbs.
Dimensions:0.6" x 5.7" x 8.5"
Related Subjects
Math Mathematics Philosophy Science Science & Math Science & Scientists Science & TechnologyCustomer Reviews
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