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Aspects of Incompleteness

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Part of Lecture Notes in Logic

  • Date Published: March 2017
  • availability: Available
  • format: Hardback
  • isbn: 9781107167926

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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. In this volume, the tenth publication in the Lecture Notes in Logic series, Per Lindström presents some of the main topics and results in general metamathematics. In addition to standard results of Gödel et al. on incompleteness, (non-)finite axiomatizability, and interpretability, this book contains a thorough treatment of partial conservativity and degrees of interpretability. It comes complete with exercises, and will be useful as a textbook for graduate students with a background in logic, as well as a valuable resource for researchers.

    • Presents the main areas and results of general metamathematics
    • Concerned almost exclusively with properties that are common to all sufficiently strong, axiomatizable theories
    • Contains more than one hundred exercises suitable for graduate students with a background in logic
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    Product details

    • Date Published: March 2017
    • format: Hardback
    • isbn: 9781107167926
    • dimensions: 235 x 156 x 15 mm
    • weight: 0.3kg
    • contains: 115 exercises
    • availability: Available
  • Table of Contents

    Preface
    Introduction
    1. Preliminaries
    2. Incompleteness
    3. Numerations of r.e. sets
    4. Axiomatizations
    5. Partial conservativity
    6. Interpretability
    7. Degrees of interpretabilty
    8. Generations
    References
    Index
    Notation.

  • Author

    Per Lindström, Göteborgs Universitet, Sweden
    Per Lindström works in the Department of Philosophy at Göteborgs Universitet, Sweden.

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