Defending the Axioms : On the Philosophical Foundations of Set Theory Paperback / softback
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.
- Format: Paperback / softback
- Pages: 162 pages
- Publisher: Oxford University Press
- Publication Date: 13/03/2013
- Category: Philosophy: logic
- ISBN: 9780199671489