Hack, Hack, Who's There? A Gentle Introduction to Model Theory
by David Reid
Publisher: Smashwords 2016
Number of pages: 273
The skeleton of this narrative nonfiction book is a science fiction story without the usual mangling of physics. The flesh is composed of self-contained non-technical mainstream explanations and examples of the field of mathematics which deals with meaning, called Model Theory. Technical terms are avoided, except to occasionally serve as keywords.
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by C. Ward Henson - University of South Carolina
The purpose of this text is to give a thorough introduction to the methods of model theory for first order logic. Model theory is the branch of logic that deals with mathematical structures and the formal languages they interpret.
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.
by D. Haskell, A. Pillay, C. Steinhorn - Cambridge University Press
The book gives the necessary background for the model theory and the mathematics behind the applications. Aimed at graduate students and researchers, it contains surveys by leading experts covering the whole spectrum of contemporary model theory.
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.