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Set Theory and its Philosophy
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Set Theory and its Philosophy: A Critical Introduction

Michael Potter

Abstract

This book presents a philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. The book offers an account of cardinal and ordinal arithmetic, and the various axiom candidates. It discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. The book offers a simple version of the most widely accepted response to the paradoxes, which classifies s ... More

Keywords: set theory, foundations of mathematics, cardinal arithmetic, ordinal arithmetic, axiom candidates, set-theoretic reduction, paradoxes, hierarchy of levels

Bibliographic Information

Print publication date: 2004 Print ISBN-13: 9780199269730
Published to Oxford Scholarship Online: October 2011 DOI:10.1093/acprof:oso/9780199269730.001.0001

Authors

Affiliations are at time of print publication.

Michael Potter, author
Department of Philosophy, University of Cambridge
Author Webpage

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