BASIC MODEL THEORY
by
KEES DOETS
(CSLI Publications,1996)
BASIC NOTIONS
RELATIONS BETWEEN MODELS
Isomorphism and Equivalence
(Elementary Submodels)
EHRENFEUCHT-FRAISSE GAMES
Finite GAmes
The Meaning of the Game
Applications
The Infinite GAne
CONSTRUCTING MODELS
Compactness
Diagrams
Ultraproducts
Omitting Types
Saturation
Recursive Saturation
Applications
DEDUCTION AND COMPLETENESS
Rules of Natural Deduction
Soundness
Completeness
SET THEORY
Axioms
Notations
Orderings
Ordinals
Cardinals
Axiom of Choice
Inductive Definitions
Ramsey's Theorem
Games
BIBLIOGRAPHY
return
to
Mathematical Structures Group