by Jan Wolenski
Publisher: ESSLLI 2002
Number of pages: 35
The course is intended to provide 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.
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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 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 Stephen G. Simpson - The Pennsylvania State University
An important branch of mathematical logic is model theory, the study of first-order theories and the classes of models defined by such theories. This course will include numerous applications of model theory to algebra, especially ordered fields ...
by J. Barwise, S. Feferman - Springer
The subject matter of this book constitutes a merging of several directions in general model theory: cardinality quantifiers; infinitary languages; and, finally, that on generalized quantifiers and abstract characterizations of first-order logic.