ENGLISH

Basic model theory

By Doets K.

Book information

Publisher
CSLI Publications, FoLLI
Year
1996
ISBN
157586049X
Language
english
Format
DJVU
Filesize
1008 kB (1031706 bytes)
Series
Studies in Logic, Language, and Information
Pages
142\142
Topic
Mathematics Logic
Library
Kolxo3
DPI
600
Time added
2013-12-29 19:00:00

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

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