Product Information
This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with Koenig's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.Product Identifiers
PublisherCambridge University Press
ISBN-139780521708777
eBay Product ID (ePID)95721536
Product Key Features
Number of Pages216 Pages
Publication NameThe Mathematics of Logic: a Guide to Completeness Theorems and Their Applications
LanguageEnglish
SubjectMathematics
Publication Year2007
TypeTextbook
AuthorRichard W. Kaye
FormatPaperback
Dimensions
Item Height225 mm
Item Weight304 g
Additional Product Features
Country/Region of ManufactureUnited Kingdom
Title_AuthorRichard W. Kaye