| Models and Games Contributor(s): Vaananen, Jouko (Author) |
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ISBN: 0521518121 ISBN-13: 9780521518123 Publisher: Cambridge University Press OUR PRICE: $84.54 Product Type: Hardcover - Other Formats Published: May 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Logic |
| Dewey: 511.34 |
| LCCN: 2011290393 |
| Series: Cambridge Studies in Advanced Mathematics (Hardcover) |
| Physical Information: 0.9" H x 6.1" W x 9" (1.50 lbs) 380 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht-Fra ss game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko V n nen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications. |
Contributor Bio(s): Vaananen, Jouko: - Jouko V��n�nen is a Professor of Mathematics at the University of Helsinki, and a Professor of Mathematical Logic and Foundations of Mathematics at the University of Amsterdam. |
