Kniha Model Theory for Beginners. 15 Lectures ROMAN KOSSAK

Model Theory for Beginners. 15 Lectures

Autor: ROMAN KOSSAK
Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 14-21 dnů
401
This book presents an introduction to model theory in 15 lectures. It concentrates on several key co...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2021
Stránek
152
EAN
9781848903616
ISBN
1848903618
Enbook ID
35416858
Hmotnost
246
Rozměry
234 x 155 x 12

Kompletní popis

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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