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Description - Basic Model Theory by Kees Doets

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 Lowenheim'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.

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Book Details

ISBN: 9781575860480
ISBN-10: 1575860481
Format: Paperback
(228mm x 152mm x 11mm)
Pages: 141
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 1-Jun-1996
Country of Publication: United Kingdom

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