Defending the Axioms - On the Philosophical Foundations of Set Theory

Zusatztext the book is an engaging contribution to an important philosophical debate and deserves to be read far beyond the ranks of philosophers of mathematics. Informationen zum Autor 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). Klappentext Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate. Zusammenfassung Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate. Inhaltsverzeichnis Introduction 1: The Problem 2: Proper Method 3: Thin Realism 4: Arealism 5: Morals Bibliography

Product details

• Authors: Penelope Maddy, Penelope (University of California Maddy
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Release: 15.03.2011, delayed
• EAN: 9780199596188
• ISBN: 978-0-19-959618-8
• No. of pages: 144
• Subjects: Humanities, art, music > Philosophy > General, dictionaries; Natural sciences, medicine, IT, technology > Mathematics > Basic principles; Philosophie, Wissenschaftsphilosophie und -theorie, PHILOSOPHY / General, Philosophy, SCIENCE / Philosophy & Social Aspects, MATHEMATICS / Set Theory