Synopses & Reviews
Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. This is the first and most successful textbook in logical model theory. Extensively updated and corrected in 1990 to accommodate developments in model theoretic methods — including classification theory and nonstandard analysis — the third edition added entirely new sections, exercises, and references.
Each chapter introduces an individual method and discusses specific applications. Basic methods of constructing models include constants, elementary chains, Skolem functions, indiscernibles, ultraproducts, and special models. The final chapters present more advanced topics that feature a combination of several methods. This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory.
Synopsis
This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.
Synopsis
Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. Extensively updated and corrected in 1990 to accommodate the most recent developments in model theoretic methods, including classification theory and nonstandard analysis, this third edition of the bestselling classic added entirely new sections, exercises, and references.
Synopsis
This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory. Extensively updated and corrected in 1990 to accommodate the most recent developments, including classification theory and nonstandard analysis, this third edition of the bestselling text added entirely new sections, exercises, and references. 1990 edition.
Table of Contents
Preface 1. Introduction 2. Models contructed from constants 3. Further model-theoretic constructions 4. Ultraproducts 5. Saturated and special models 6. More about ultraproducts and generalizations 7. Selected topics Appendix A. Set theory Appendix B. Open problems in classical model theory Historical notes References Additional references Index of definitions Index of symbols