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Klappentext This book brings together several directions of work in model theory between the late 1950s and early 1980s. Zusammenfassung In this volume the authors bring together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers on advanced topics in model theory. Many chapters can be read independently. Inhaltsverzeichnis List of contributors; Part I. Introduction, Basic Theory and Examples: 1. Model-theoretic logics: background and aims J. Barwise; 2. Extended logics: the general framework H.-D. Ebbinghaus; 3. Characterizing logics J. Flum; Part II. Finitary Languages with Additional Quantifiers: 4. The quantifier 'there exist uncountably many' and some of its relatives M. Kaufmann; 5. Transfer theorems and their applications to logics J. H. Schmerl; 6. Other quantifiers: an overview D. Mundici; 7. Decidability and quantifier-elimination A. Baudisch, D. Seese, P. Tuschik and M. Weese; Part III. Infinitary Languages: 8. L¿1¿ and admissible fragments M. Nadel; 9. Larger infinitary languages M. A. Dickmann; 10. Game quantification Ph. G. Kolaitis; 11. Applications to algebra P. C. Ecklof; Part IV. Second-Order Logic: 12. Definable second-order quantifiers J. Baldwin; 13. Monadic second-order theories Y. Gurevich; Part V. Logics of Topology and Analysis: 14. Probability quantifiers H. J. Keisler; 15. Topological model theory M. Ziegler; 16. Borel structures and measure and category logics C. I. Steinhorn; Part VI. Advanced Topics in Abstract Model Theory: 17. Set-theoretic definability of logics J. Väänänen; 18. Compactness, embeddings and definability J. A. Makowsky; 19. Abstract equivalence relations J. A. Makowsky and D. Mundici; 20. Abstract embedding relations J. A. Makowsky; Bibliography D. S. Scott, D. C. McCarthy and J. F. Horty.
