Roman Kossak: Model Theory for Beginners. 15 Lectures, Kartoniert / Broschiert
Model Theory for Beginners. 15 Lectures
(soweit verfügbar beim Lieferanten)
- Verlag:
- College Publications, 02/2021
- Einband:
- Kartoniert / Broschiert, Paperback
- Sprache:
- Englisch
- ISBN-13:
- 9781848903616
- Artikelnummer:
- 11695942
- Umfang:
- 152 Seiten
- Gewicht:
- 243 g
- Maße:
- 234 x 156 mm
- Stärke:
- 8 mm
- Erscheinungstermin:
- 10.2.2021
- Hinweis
-
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
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.