Defending the Axioms: On the Philosophical Foundations of Set Theory

di Penelope Maddy (Autore)

Oxford University Press, 2011

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.

• Autore: Penelope Maddy
• Editore: Oxford University Press
• Anno: 2011
• Rilegatura: Hardback
• Pagine: 162 p.
• Dimensioni: 223 x 153 mm
• Peso: 326 gr.
• EAN: 9780199596188

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