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Model Theory for Beginners. 15 Lectures

Model Theory for Beginners. 15 Lectures

Roman Kossak

20,66 €
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Editorial:
College Publications
Año de edición:
2021
Materia
Filosofía: lógica
ISBN:
9781848903616
20,66 €
IVA incluido
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Sobre IBD

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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