Introduction to Model Theory by Philipp Rothmaler and a great selection of related books, art and collectibles available now at Introduction to model theory / Philipp Rothmaler. Uniform Title. Einführung in die Modelltheorie. English. Author. Rothmaler, Philipp. Published. Amsterdam. Model Theory, Algebra, and Geometry. MSRI Publications. Volume 39, Introduction to Model Theory. DAVID MARKER. Abstract. This article introduces.
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Account Options Sign in. So-called first-order languages have proved particularly useful in this respect. This text rothmalrr the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory.
In this spirit, the My library Help Advanced Book Search. Introduction to Model Theory. Model theory investigates mathematical structures by means of formal languages.
Introduction to model theory / Philipp Rothmaler. – Version details – Trove
In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique rather than via the completeness theorem of first-order logic. This leads fairly quickly to algebraic applications, like Malcev’s local theorems of group theory rofhmaler, after a little more preparation, to Hilbert’s Nullstellensatz of field theory.
Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories.
There is a moedl chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability or classification theory.
Selected pages Title Page. Beginnings of model theory.
First consequences of the finiteness theorem. Malcevs applications to group theory. Some theory of orderings.
Math M: Model Theory
IIIBasic properties of theories. Thick and thin models.
Hints to selected exercises. Solutions for selected exercises.