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Model theory for beginners : 15 lectures /
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 aleg...
| Clasificación: | QA9.7 K6.77 |
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| Autor principal: | |
| Formato: | Libro |
| Idioma: | Inglés |
| Publicado: |
[London] :
College Publications,
[2021].
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| Colección: | Studies in logic ;
90 |
| Temas: |
| Sumario: | 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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| Descripción Física: | xii, 138 páginas : ilustraciones ; 24 cm. |
| Bibliografía: | Incluye referencias bibliográficas : páginas 135-136 e índice |
| ISBN: | 9781848903616 |