Defending the Axioms: On the Philosophical Foundations of Set Theory
Genre:
Language:
ISBN10:
0199596182
ISBN13:
9780199596188
Pages:
144
Published:
January 27th 2011 by OUP Oxford
Download Defending the Axioms: On the Philosophical Foundations of Set Theory:
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 secondphilosophical 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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