Defending the Axioms

On the Philosophical Foundations of Set Theory
Erscheinungsjahr 2011
ISBN: 978-0-19-959618-8
Verlag: OUP Oxford

Buch, Englisch, 160 Seiten, Format (B × H): 145 mm x 222 mm, Gewicht: 343 g

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.

Zielgruppe

Scholars and advanced students of philosophy of mathematics, philosophy of science, logic, and set theory.

Autoren/Hrsg.

Maddy, Penelope

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

Introduction
1: The Problem
2: Proper Method
3: Thin Realism
4: Arealism
5: Morals
Bibliography

Über Autor(innen)

Maddy, Penelope
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).