Quick Search

Seller Id
Advanced Search
Gift Cards
Checkout a Gift Card

Our secure web pages are hosted by Chrislands Inc, who use a Thawte SSL Certificate to ensure secure transmission of your information.
Fully Trusted SSL Certificate

Richard Kaye Listings

If you cannot find what you want on this page, then please use our search feature to search all our listings.

Click on Title to view full description

1 Richard Kaye
The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications
Cambridge University Press; New Delhi, India; 2007; 052170877X / 9780521708777; First Edition; Paperback; New; 
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. • Lively mathematical examples and some unusual formal systems stimulate the reader from the very beginning • Suitable as an introduction to logic for students without any background in formal set theory • Supported by companion web-pages containing further material and exercises Contents Preface; How to read this book; 1. König’s lemma; 2. Posets and maximal elements; 3. Formal systems; 4. Deductions in posets; 5. Boolean algebras; 6. Propositional logic; 7. Valuations; 8. Filters and ideals; 9. First-order logic; 10. Completeness and compactness; 11. Model theory; 12. Nonstandard analysis; Bibliography; Index. Printed Pages: 216 with 4 line diagrams, 141 exercises, and 50 worked examples. 020838

Price: 33.95 USD
Add to Shopping Cart


Questions, comments, or suggestions
Please write to info@mrmlonline.com
Copyright©2017. All Rights Reserved.
Powered by ChrisLands.com