Model Theory for Beginners. 15 Lectures - Brossura

Kossak, Roman

Brossura

ISBN 10: 1848903618 ISBN 13: 9781848903616

Casa editrice: College Publications, 2021

Riassunto

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.

Dettagli dell?edizione

• Editore: College Publications
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 1848903618
• ISBN 13: 9781848903616
• Rilegatura: Copertina flessibile
• Numero di pagine: 152
• Contatto del produttore: non disponibile