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.
Author: Roman Kossak
Publisher: College Publications
Published: 02/10/2021
Pages: 152
Binding Type: Paperback
Weight: 0.49lbs
Size: 9.21h x 6.14w x 0.33d
ISBN13: 9781848903616
ISBN10: 1848903618
BISAC Categories:
- Mathematics | Logic
- Philosophy | Logic
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