The Mathematics of Logic - Softcover

Kaye, Richard W.

Softcover

ISBN 10: 052170877X ISBN 13: 9780521708777

Publisher: Cambridge University Press, 2007

Synopsis

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.

About this title

Book Description

Undergraduate textbook covering the key material for a typical first course in logic, including a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. The author ensures that the number of new concepts at each stage is manageable, whilst providing lively mathematical applications throughout.

About the Author

Richard Kaye is a senior lecturer in pure mathematics at the University of Birmingham.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2007
• ISBN 10: 052170877X
• ISBN 13: 9780521708777
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 218