Defending the Axioms: On the Philosophical Foundations of Set

Defending the Axioms: On the Philosophical Foundations of Set Theory

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.
Country USA
Brand Oxford University Press, USA
Manufacturer Oxford University Press
Binding Paperback
ReleaseDate 2013-05-05
UnitCount 1
EANs 9780199671489

Defending the Axioms: On the Philosophical Foundations of Set Theory