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Defending the Axioms: On the Philosophical Foundations of Set Theory
Paperback
PhilosophyGeneral MathematicsHistory & Philosophy of Science
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ISBN10: 0199671486
ISBN13: 9780199671489
Publisher: Oxford University Press
Published: May 5 2013
Pages: 162
Weight: 0.43
Height: 0.35 Width: 5.50 Depth: 8.50
Language: English
ISBN13: 9780199671489
Publisher: Oxford University Press
Published: May 5 2013
Pages: 162
Weight: 0.43
Height: 0.35 Width: 5.50 Depth: 8.50
Language: English
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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