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Gödel '96
Logical Foundations of Mathematics, Computer Science and Physics - Kurt Gödel's Legacy

$125.00 (C)

Part of Lecture Notes in Logic

  • Editor: Petr Hájek, Academy of Sciences of the Czech Republic, Prague
Solomon Feferman, Matthias Baaz, G. F. R. Ellis, Boris A. Kushner, Charles Parsons, Pavel Pudlák, Wilfried Sieg, John Byrnes, Gaisi Takeuti, Masahiro Yasumoto, Albert Visser, C. Anthony Anderson, Michael Gettings, Tadashi Araragi, Dorella Bellè, Franco Parlamento, Marcin Benke, Benjamin Blankertz, Andreas Weiermann, Giora Hon, Jan Johannsen, Lars Kristiansen, Robert K. Meyer, Leonard Paulík, Robert F. Stärk, Michael Stöltzner, Andrzej M. Zarach
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  • Date Published: March 2017
  • availability: Available
  • format: Hardback
  • isbn: 9781107168022

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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 sixth publication in the Lecture Notes in Logic series, collects the proceedings of the conference 'Logical Foundations of Mathematics, Computer Science, and Physics - Kurt Gödel's Legacy', held in Brno, Czech Republic, on the 90th anniversary of Gödel's birth. The broad range of speakers who participated in this event affirms the continuing importance of Gödel's work in logic, physics, and the philosophy and foundations of mathematics and computer science. The papers in this volume range over all these topics and contribute to our present understanding of them.

    • Contains papers from a broad range of speakers covering all of the domains touched by Kurt Gödel's work
    • Gödel's work has wide and continuing importance in the logical foundations of mathematics, computer science and physics
    • Helps readers to understand the present state of knowledge in these domains
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    Product details

    • Date Published: March 2017
    • format: Hardback
    • isbn: 9781107168022
    • dimensions: 229 x 152 x 22 mm
    • weight: 0.66kg
    • contains: 11 b/w illus.
    • availability: Available
  • Table of Contents

    Preface
    Part I. Invited Papers:
    1. Gödel's program for new axioms: why, where, how and what? Solomon Feferman
    2. Infinite-valued Gödel logics with 0-1-projections and relativizations Matthias Baaz
    3. Contributions of K. Gödel to relativity and cosmology G. F. R. Ellis
    4. Kurt Gödel and the constructive mathematics of A. A. Markov Boris A. Kushner
    5. Hao Wang as philosopher Charles Parsons
    6. A bottom-up approach to foundations of mathematics Pavel Pudlák
    7. K-graph machines - generalizing Turing's machines and arguments Wilfried Sieg and John Byrnes
    8. Forcing on bounded arithmetic Gaisi Takeuti and Masahiro Yasumoto
    9. Uniform interpolation and layered bisimulation Albert Visser
    Part II. Contributed Papers:
    10. Gödel's ontological proof revisited C. Anthony Anderson and Michael Gettings
    11. A uniform theorem proving tableaux method for modal logic Tadashi Araragi
    12. Decidability of the \exists*\forall*-class in the membership theory NWL Dorella Bellè and Franco Parlamento
    13. A logical approach to complexity bounds for subtype inequalities Marcin Benke
    14. How to characterize provably total functions Benjamin Blankertz and Andreas Weiermann
    15. Completeness has to be restricted - Gödel's interpretation of the parameter t Giora Hon
    16. A bounded arithmetic theory for constant depth threshold circuits Jan Johannsen
    17. Information content and computational complexity of recursive sets Lars Kristiansen
    18. Kurt Gödel and the consistency of R## Robert K. Meyer
    19. Best possible answer is computable for fuzzy SLD-resolution Leonard Paulík
    20. The finite stages of inductive definitions Robert F. Stärk
    21. Gödel and the theory of everything Michael Stöltzner
    22. Replacement ─/→ collection Andrzej M. Zarach.

  • Editor

    Petr Hájek, Academy of Sciences of the Czech Republic, Prague
    Petr Hájek works in the Academy of Sciences of the Czech Republic, Prague.

    Contributors

    Solomon Feferman, Matthias Baaz, G. F. R. Ellis, Boris A. Kushner, Charles Parsons, Pavel Pudlák, Wilfried Sieg, John Byrnes, Gaisi Takeuti, Masahiro Yasumoto, Albert Visser, C. Anthony Anderson, Michael Gettings, Tadashi Araragi, Dorella Bellè, Franco Parlamento, Marcin Benke, Benjamin Blankertz, Andreas Weiermann, Giora Hon, Jan Johannsen, Lars Kristiansen, Robert K. Meyer, Leonard Paulík, Robert F. Stärk, Michael Stöltzner, Andrzej M. Zarach

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