Defending the Axioms : On the Philosophical Foundations of Set Theory
Book Details
Format
Hardback or Cased Book
ISBN-10
0199596182
ISBN-13
9780199596188
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 27th, 2011
Print length
162 Pages
Weight
330 grams
Dimensions
14.70 x 22.20 x 1.50 cms
Product Classification:
Philosophy: logicPhilosophy of mathematicsPhilosophy of science
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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.
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.
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