Fetch Your Copy Basic Model Theory Illustrated By Kees Doets Offered As Publication

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 firstorder languages, the model theory of which is best known, An example result is Lwenheim's theorem the oldest in the field: a firstorder sentence true of some uncountable structure must hold in some countable structure as well.
Secondorder 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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