About this product

Product Identifiers

PublisherHackett Publishing Company, Incorporated

ISBN-100872208133

ISBN-139780872208131

eBay Product ID (ePID)50473264

Product Key Features

Number of Pages192 Pages

LanguageEnglish

Publication NameFormal Logic : Its Scope and Limits

Publication Year2006

SubjectLogic

FeaturesRevised

TypeTextbook

AuthorRichard Jeffrey

Subject AreaMathematics, Philosophy

FormatHardcover

Dimensions

Item Height6 in

Item Weight13.5 Oz

Item Length9 in

Item Width0.2 in

Additional Product Features

Edition Number4

Intended AudienceCollege Audience

LCCN2005-055005

Dewey Edition22

IllustratedYes

Dewey Decimal160

Edition DescriptionRevised edition

SynopsisThe first beginning logic text to employ the tree method--a complete formal system of first-order logic that is remarkably easy to understand and use--this text allows students to take control of the nuts and bolts of formal logic quickly, and to move on to more complex and abstract problems., The first beginning logic text to employ the tree method--a complete formal system of first-order logic that is remarkably easy to understand and use--this text allows students to take control of the nuts and bolts of formal logic quickly, and to move on to more complex and abstract problems. The tree method is elaborated in manageable steps over five chapters, in each of which its adequacy is reviewed; soundness and completeness proofs are extended at each step, and the decidability proof is extended at the step from truth functions to the logic of nonoverlapping quantifiers with a single variable, after which undecidability is demonstrated by example. The first three chapters are bilingual, with arguments presented twice, in logical notation and in English. The last three chapters consider the discoveries defining the scope and limits of formal methods that marked logic's coming of age in the 20th century: Godel's completeness and incompleteness theorems for first and second-order logic, and the Church-Turing theorem on the undecidability of first-order logic. This new edition provides additional problems, solutions to selected problems, and two new Supplements: Truth-Functional Equivalence reinstates material on that topic from the second edition that was omitted in the third, and Variant Methods, in which John Burgess provides a proof regarding the possibility of modifying the tree method so that it will always find a finite model when there is one, and another, which shows that a different modification--once contemplated by Jeffrey--can result in a dramatic speed--up of certain proofs.

LC Classification NumberBC128.J43 2006