Defending the Axioms: On the Philosophical Foundations of Set Theory - Couverture rigide

Maddy, Penelope

 
9780199596188: Defending the Axioms: On the Philosophical Foundations of Set Theory

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 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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À propos de l?auteur

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).

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Autres éditions populaires du même titre

9780199671489: Defending the Axioms: On the Philosophical Foundations of Set Theory

Edition présentée

ISBN 10 :  0199671486 ISBN 13 :  9780199671489
Editeur : Oxford University Press, 2013
Couverture souple