Kniha Classification Theory. Second Edition with a new introduction Saharon Shelah

Classification Theory. Second Edition with a new introduction

Jazyk: Angličtina
Väzba: Brožovaná
Vydavateľ: College Publications
Dostupnosť: Skladom u dodávateľa
Odosielame za 14-21 dní
30.51
This book is for readers who have learned about first order logic; Gödel's completeness theorem; the...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2023
Stránok
748
EAN
9781848904231
ISBN
1848904231
Enbook ID
42871471
Hmotnosť
1115
Rozmery
156 x 234 x 40

Kompletný popis

This book is for readers who have learned about first order logic; Gödel's completeness theorem; the Löwenheim-Skolem theorem; the Tarski-Vaught criterion for being elementary sub-model; and who know naive set theory. A graduate course in model theory will be helpful. The thesis of the book is that we can find worthwhile dividing lines among complete first order theories T; mainly countable. That is, properties dividing them in some sense between understandable and complicated ones.


The main test problem is the number of models of T of the infinite cardinal l as a function of l. This culminates in the so-called main gap theorem saying the number is either maximal or quite small in suitable sense. Toward this, other properties are introduced and investigated, such as being stable or being super stable, where can we define dimension and weight, particularly for super stable theories.

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