Defending the Axioms

NOTE EDITORE

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.

SOMMARIO

1 - The Problem2 - Proper Method3 - Thin Realism4 - Arealism5 - Morals

AUTORE

Penelope Maddy is Distinguished Professor of Logic and Philosophy of Science at the University of California, Irvine. She is the author of Naturalism in Mathematics (OUP, 1997), Realism in Mathematics (OUP, 1992), and Second Philosophy (OUP, 2007).

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780199596188
• Dimensioni: 223 x 17.9 x 153 mm Ø 326 gr
• Formato: Copertina rigida
• Pagine Arabe: 162