 Model Theory for Beginners
15 Lectures
Roman Kossak
This book presents an introduction to model theory in 15 lectures. It concentrates on several key concepts: firstorder 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 EhrefeuchtMostowski technique for constructing models admitting automorphisms. Additional topics include recursive saturation, nonstandard models of arithmetic, Abraham Robinson's modeltheoretic 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.
10 February 2021
9781848903616
