Picture 1 of 1

Stock photo

Set Theory and Its Philosophy: A Critical Introduction by Michael Potter: New - Picture 1 of 1

Set Theory and Its Philosophy : A Critical Introduction by Michael Potter (2004, Hardcover)

AlibrisBooks (500964)

99.2% positive Feedback

Price:

US $226.99

Approximately£171.51

+ $20.23 postage

Returns:

30 days return. Buyer pays for return postage. If you use an eBay delivery label, it will be deducted from your refund amount.

Condition:

New

New Hard cover

About this product

Product Identifiers

PublisherOxford University Press, Incorporated

ISBN-100199269734

ISBN-139780199269730

eBay Product ID (ePID)30509283

Product Key Features

Number of Pages360 Pages

LanguageEnglish

Publication NameSet Theory and Its Philosophy : a Critical Introduction

Publication Year2004

SubjectLogic, Set Theory

TypeTextbook

Subject AreaMathematics, Philosophy

AuthorMichael Potter

FormatHardcover

Dimensions

Item Height0.9 in

Item Weight23.1 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2004-298369

Dewey Edition22

Reviewsa wonderful new book . . . Potter has written the best philosophical introduction to set theory on the market

IllustratedYes

Dewey Decimal511.3/22

Table Of ContentI. Sets1. Logic2. Collections3. The hierarchy4. The theory of sets5. ClassesII. Numbers6. Arithmetic7. Counting8. Lines9. Real numbersIII. Cardinals and Ordinals10. Cardinals11. Basic cardinal arithmetic12. Ordinals13. Ordinal aritmeticIV. Further axioms14. Orders of infinity15. The axiom of choice16. Further cardinal arithmetic

SynopsisMichael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. 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. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science., Michael Potter presents a comprehensive new 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. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.

LC Classification NumberQA248