Download E-books Defending the Axioms: On the Philosophical Foundations of Set Theory PDF

By Penelope Maddy

Arithmetic depends upon proofs, and proofs needs to commence someplace, from a few primary assumptions. for almost a century, the axioms of set conception have performed this position, so the query of ways those axioms are adequately judged takes on a imperative value. imminent the query from a commonly naturalistic or second-philosophical perspective, Defending the Axioms isolates the ideal equipment for such reviews and investigates the ontological and epistemological backdrop that makes them acceptable. in spite of everything, a brand new account of the objectivity of arithmetic emerges, one refreshingly freed from metaphysical commitments.

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