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Model-Theoretic Logics

$195.00 (C)

Part of Perspectives in Logic

J. Barwise, H.-D. Ebbinghaus, J. Flum, M. Kaufmann, J. H. Schmerl, D. Mundici, A. Baudisch, D. Seese, P. Tuschik, M. Weese, M. Nadel, M. A. Dickmann, Ph. G. Kolaitis, P. C. Ecklof, J. Baldwin, Y. Gurevich, H. J. Keisler, M. Ziegler, C. I. Steinhorn, J. Väänänen, J. A. Makowsky, D. S. Scott, D. C. McCarthy, J. F. Horty
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  • Date Published: March 2017
  • availability: Available
  • format: Hardback
  • isbn: 9781107168251

$ 195.00 (C)
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About the Authors
  • Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the eighth publication in the Perspectives in Logic series, brings together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers. Part I provides an introduction to the subject as a whole, as well as to the basic theory and examples. The rest of the book addresses finitary languages with additional quantifiers, infinitary languages, second-order logic, logics of topology and analysis, and advanced topics in abstract model theory. Many chapters can be read independently.

    • Contributions by numerous experts provide substantial coverage of the field
    • Introduces the main ideas, examples and results in the area of model-theoretic logics
    • Many of the book's chapters can be read independently
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    Product details

    • Date Published: March 2017
    • format: Hardback
    • isbn: 9781107168251
    • dimensions: 240 x 163 x 58 mm
    • weight: 1.58kg
    • contains: 11 b/w illus.
    • availability: Available
  • Table of Contents

    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. Lω1ω 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.

  • Editors

    J. Barwise, Stanford University, California
    J. Barwise works in the Center for the Study of Language and Information at Stanford University, California.

    S. Feferman, Stanford University, California
    S. Feferman works in the Department of Mathematics and Philosophy at Stanford University, California.

    Contributors

    J. Barwise, H.-D. Ebbinghaus, J. Flum, M. Kaufmann, J. H. Schmerl, D. Mundici, A. Baudisch, D. Seese, P. Tuschik, M. Weese, M. Nadel, M. A. Dickmann, Ph. G. Kolaitis, P. C. Ecklof, J. Baldwin, Y. Gurevich, H. J. Keisler, M. Ziegler, C. I. Steinhorn, J. Väänänen, J. A. Makowsky, D. S. Scott, D. C. McCarthy, J. F. Horty

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