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Model Theory for Beginners. 15 Lectures
Roman Kossak (Author)
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College Publications
· Paperback
Model Theory for Beginners. 15 Lectures - Roman Kossak
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Synopsis "Model Theory for Beginners. 15 Lectures"
This book presents an introduction to model theory in 15 lectures. It concentrates on several key concepts: first-order definability, classification of complete types, elementary extensions, categoricity, automorphisms, and saturation; all illustrated with examples that require neither advanced alegbra nor set theory. A full proof of the compactness theorem for countable languages and its applications are given, followed by a discussion of the Ehrefeucht-Mostowski technique for constructing models admitting automorphisms. Additional topics include recursive saturation, nonstandard models of arithmetic, Abraham Robinson's model-theoretic proof of Tarski's theorem on undefinability of truth, and the proof of the Infinite Ramsey Theorem using an elementary extension of the standard model of arithmetic.
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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