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Set Theory and its Philosophy

Name: Set Theory and its Philosophy
Brand: Oxford University Press
SKU: 04531119
Price: 91931 HUF
Availability: InStock
Author: Michael Potter
ISBN: 9780199269730

A Critical Introduction

Michael Potter

Language

English

Book Hardback

Libristo code: 04531119

Publishers Oxford University Press, January 2004

A comprehensive philosophical introduction to set theory. Anyone wishing to work on the logical foun... Full description

Libristo code: 04531119

606 b

91 931 Ft

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A comprehensive philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He 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. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true.