by J. Barwise, S. Feferman
Publisher: Springer 1985
Number of pages: 893
The subject matter of this book constitutes a merging of several directions of work in general model theory over the last 25 years. Three main lines can be distinguished: first, that initiated by Andrzej Mostowski on cardinality quantifiers; second, the work of Alfred Tarski, his colleagues and students on infinitary languages; and, finally, that stemming from the results of Per Lindstrom on generalized quantifiers and abstract characterizations of first-order logic.
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by David Reid - Smashwords
The skeleton of this book is a science fiction story without the usual mangling of physics. The flesh is composed of non-technical mainstream explanations and examples of the field of mathematics which deals with meaning, called Model Theory.
by William Weiss, Cherie D'Mello - University of Toronto
This book provides an introduction to Model Theory which can be used as a text for a reading course or a summer project at the senior undergraduate or graduate level. It is a primer which will give someone a self contained overview of the subject.
by Harold Simmons - The University of Manchester
Topics covered: Basic ideas of language, satisfaction, and compactness; Some examples of elimination of quantifiers; The diagram technique; Model complete theories, companion theories, existentially closed structures, and various refinements; etc.
by Jan Wolenski - ESSLLI
This text provides the basic information about the metatheory of formal system. It will start with a brief information about propositional calculus and first-order logic. Then, fundamental theorems about elementary logic will be stated and proved.