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Defending the Axioms: On the Philosophical Foundations of Set Theory - Maddy, Penelope
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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 ...

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Defending the Axioms: On the Philosophical Foundations of Set Theory 2013, Oxford University Press, Oxford

ISBN-13: 9780199671489

Paperback

Defending the Axioms: On the Philosophical Foundations of Set Theory 2011, Oxford University Press, Oxford

ISBN-13: 9780199596188

Hardcover