324 Pages
by
CRC Press
324 Pages
by
CRC Press
324 Pages
by
CRC Press
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Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than... Read more
Basics, Structures, Languages, Semantics. Beginnings of Model Theory, The Finiteness Theorem, First Consequences of Finiteness Theorem, Malcev's Applications to Group Theory, Some Theory of Ordering. Basic Properties of Theories, Elementary Maps, Elimination, Chains. Theories and Types, Types, Thick and Thin Models, Countable Complete Theories. Two Applications, Strong Minimal Theories, Hints to Selected Exercise, Solutions for Selected Exercises.
Biography
Rothmaler, Philipp
