The Mathematics of Logic (Hardcover) (ISBN-13: 9780521882194)

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 König'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.

Author: Richard W. Kaye
ISBN-10: 0521882192
ISBN-13: 9780521882194
Publisher: Cambridge University Press
Language: English
Published: 07/12/2007
Pages: 206
Format: Hardcover
Weight: 0.91lbs
Size: 9.16h x 6.31w x 0.63d

Review Citation(s):
Scitech Book News 06/01/2008 pg. 15