| Basic Model Theory Contributor(s): Doets, Kees (Author) |
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ISBN: 157586049X ISBN-13: 9781575860497 Publisher: Center for the Study of Language and Informat OUR PRICE: $62.37 Product Type: Hardcover Published: June 1996 |
| Additional Information |
| BISAC Categories: - Mathematics | Logic |
| Dewey: 511.3 |
| LCCN: 96020327 |
| Series: Studies in Logic, Language, and Information |
| Physical Information: 143 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Model theory investigates the relationships between mathematical structures ('models') on the one hand and formal languages (in which statements about these structures can be formulated) on the other. Example structures are: the natural numbers with the usual arithmetical operations, the structures familiar from algebra, ordered sets, etc. The emphasis is on first-order languages, the model theory of which is best known. An example result is L wenheim's theorem (the oldest in the field): a first-order sentence true of some uncountable structure must hold in some countable structure as well. Second-order languages and several of their fragments are dealt with as well. As the title indicates, this book introduces the reader to what is basic in model theory. A special feature is its use of the Ehrenfeucht game by which the reader is familiarised with the world of models. |
