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.
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.
H. Jerome Keisler was a longtime professor at the University of Wisconsin, Madison, whose research included model theory and nonstandard analysis. He is known for extending the Henkin construction to what are now called Henkin-Keisler models. C. C. Chang, Professor Emeritus of Mathematics at UCLA, also focused on model theory and proved the ordinal partition theorem. Chang's conjecture is named after him, as is ccc forcing.
Inhaltsangabe
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
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
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