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Axiom of Choice by John L. Bell (2009, Trade Paperback)

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About this product

Product Identifiers

PublisherCollege Publications

ISBN-101904987540

ISBN-139781904987543

eBay Product ID (ePID)116258578

Product Key Features

Number of Pages264 Pages

LanguageEnglish

Publication NameAxiom of Choice

SubjectLogic, Set Theory

Publication Year2009

TypeTextbook

AuthorJohn L. Bell

Subject AreaMathematics

FormatTrade Paperback

Dimensions

Item Height0.6 in

Item Weight13.3 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

LCCN2010-362993

Dewey Edition22

TitleLeadingThe

IllustratedYes

Dewey Decimal511.3

SynopsisThis book presents an overview of the development of the Axiom of Choice since its introduction by Zermelo at the beginning of the last century. The book surveys the Axiom of Choice from three perspectives. The first, or mathematical perspective, is that of the "working mathematician". This perspective brings into view the manifold applications of the Axiom of Choice-usually in the guise of Zorn s Lemma- in a great variety of areas of mathematics. The second, foundational, perspective is that of the logician or constructive mathematician concerned with the foundational status of the Axiom of Choice. The third, topos-theoretical, perspective is that taken by the mathematician or logician investigating the role of the Axiom of Choice in topos theory. Certain topics-for instance mathematical applications of the Axiom, and its relationship with logic-are discussed in considerable detail. Others-notably the consistency and independence of the Axiom of the usual systems of set theory-are given no more than summary treatment, the justification here being that these topics have been given full expositions elsewhere. It is hoped that the book will be of interest to logicians and mathematicians, both professional and prospective.

LC Classification NumberQA248.B435 2009