ISBN10: 0199596182, ISBN13: 9780199596188, [publisher: Oxford University Press, Oxford] Hardcover Hardcover. 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 andepistemological backdrop that makes them appropriate. In the end, a new account of the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments. Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
[Truganina, VIC, Australia] [Publication Year: ...
Show/Hide image