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About this product
Product Identifiers
PublisherOxford University Press, Incorporated
ISBN-100199596182
ISBN-139780199596188
eBay Product ID (ePID)99471669
Product Key Features
Number of Pages144 Pages
Publication NameDefending the Axioms : on the Philosophical Foundations of Set Theory
LanguageEnglish
Publication Year2011
SubjectGeneral, Set Theory
TypeTextbook
AuthorPenelope Maddy
Subject AreaMathematics, Philosophy
FormatHardcover
Dimensions
Item Height0.7 in
Item Weight10.6 Oz
Item Length8.8 in
Item Width6 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2011-293552
Reviewsthe book is an engaging contribution to an important philosophical debate and deserves to be read far beyond the ranks of philosophers of mathematics.
Dewey Edition22
Dewey Decimal511.322
SynopsisMathematics 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., Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate.