Model Theory for Beginners. 15 Lectures
Paperback 152 pages English February 10, 2021
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College Publications
Model Theory for Beginners. 15 Lectures
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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.
- Author:
- Roman Kossak
- Publisher:
- College Publications
- Publication Date:
- February 10, 2021
- Number of pages:
- 152 pages
- Language:
- English
- Binding:
- Paperback
- ISBN-10:
- 1848903618
- ISBN-13:
- 9781848903616