Basic Model Theory
Kees Doets(Author)
The Center for the Study of Language and Information Publications (Publisher)
Published on 13. June 1996
Book
Hardback
143 pages
978-1-57586-049-7 (ISBN)
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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 Löwenheim'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.
More details
Series
Language
English
Place of publication
New York
United States
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Dimensions
Height: 228 mm
Width: 152 mm
Thickness: 14 mm
Weight
386 gr
ISBN-13
978-1-57586-049-7 (9781575860497)
Schweitzer Classification
Person
Content
Introduction; 1. Basic notions; 2. Relations between models; 3. Ehrenfeucht-Fraïssé games; 4. Constructing models; Appendix A. Deduction and completeness; Appendix B. Set theory; Bibliography; Name index; Subject index; Notation.