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Cover: 9781848903616 | Model Theory for Beginners. 15 Lectures | Roman Kossak | Taschenbuch
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Model Theory for Beginners. 15 Lectures
Taschenbuch von Roman Kossak
Sprache: Englisch

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Beschreibung
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.
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.
Details
Erscheinungsjahr: 2021
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 152
ISBN-13: 9781848903616
ISBN-10: 1848903618
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kossak, Roman
Hersteller: College Publications
Maße: 234 x 156 x 9 mm
Von/Mit: Roman Kossak
Erscheinungsdatum: 10.02.2021
Gewicht: 0,243 kg
preigu-id: 128050735
Details
Erscheinungsjahr: 2021
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 152
ISBN-13: 9781848903616
ISBN-10: 1848903618
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kossak, Roman
Hersteller: College Publications
Maße: 234 x 156 x 9 mm
Von/Mit: Roman Kossak
Erscheinungsdatum: 10.02.2021
Gewicht: 0,243 kg
preigu-id: 128050735
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