Model Theory for Beginners 15 Lectures
by [Kossak, Roman]
$22.02
Description
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.
Product Details
- College Publications Brand
- Feb 10, 2021 Pub Date:
- 9781848903616 ISBN-13:
- 1848903618 ISBN-10:
- 152.0 pages Paperback
- English Language
- 9.21 in * 0.33 in * 6.14 in Dimensions:
- 1 lb Weight:
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