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.
| ISBN | 9780199596188 |
| Autor(a) | Maddy, Penelope |
| Editora | Oup Oxford |
| Ano de edição | 2011 |
| Páginas | 162 |
| Acabamento | Capa Dura |
| Dimensões | 21,60 X 14,50 |