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Current Issues in Quantum Logic

  • Book
  • © 1981

Overview

Editors:
  1. Enrico G. Beltrametti

    1. University of Genoa, Genoa, Italy
      Istituto di Scienze Fisiche, Genova, Italy

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    You can also search for this editor in PubMed   Google Scholar

  2. Bas C. Fraassen

    1. Department of Philosophy, University of Toronto, Toronto, Canada
      University of Southern California, Los Angeles, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Ettore Majorana International Science Series (EMISS, volume 8)

Part of the book sub series: Physical Sciences (PHYSC)

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Table of contents (34 chapters)

  1. Front Matter

    Pages i-ix
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  2. Classification of Different Areas of Quantum Logic, Quantum Logic, and Open Problems

    1. Front Matter

      Pages 1-1
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    2. Classification of Different Areas of Work Afferent to Quantum Logic

      • Peter Mittelstaedt
      Pages 3-16

    3. Assumptions and Interpretations of Quantum Logic

      • Bas C. van Fraassen
      Pages 17-31

  3. Comparison and Unification of Different Approaches to Quantum Theories: Problems of Interpretation

    1. Front Matter

      Pages 33-33
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    2. What are Quantum Logics and What Ought They to be?

      • D. J. Foulis, C. H. Randall
      Pages 35-52

    3. Charting the Labyrinth of Quantum Logics: A Progress Report

      • Gary M. Hardegree, Patricia J. Frazer
      Pages 53-76

    4. Realism and Quantum Logic

      • R. I. G. Hughes
      Pages 77-87

    5. What does Quantum Logic Explain?

      • Jeffrey Bub
      Pages 89-100

    6. A New Approach to Equivalence in Quantum Logic

      • Roger M. Cooke, J. Hilgevoord
      Pages 101-113

    7. How to Rewrite a Stochastic Dynamical Theory so as to Generate a Measurement Paradox

      • Jon Dorling
      Pages 115-118

    8. The Quantum Logical and the Operational Description for Physical Systems

      • M. C. Abbati, A. Manià
      Pages 119-127

  4. Formal Quantum Logic: Axiomatics

    1. Front Matter

      Pages 129-129
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    2. Partial Referential Matrices for Quantum Logics

      • Janusz Czelakowski
      Pages 131-146

    3. Some Metalogical Pathologies of Quantum Logic

      • M. L. Dalla Chiara
      Pages 147-159

    4. Quantum Logic as an Extension of Classical Logic

      • Sergio Bernini
      Pages 161-171

    5. Sequential Quantum Logic

      • Ernst-Walther Stachow
      Pages 173-191

    6. Entailment and Quantum Logic

      • Aleksander Kron, Zvonko Maric, Slobodan Vujosevic
      Pages 193-207

    7. Some Problems and Methods in Formal Quantum Logic

      • Gary M. Hardegree
      Pages 209-225

  5. Modal Interpretations of Quantum Logic

    1. Front Matter

      Pages 227-227
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Keywords

About this book

These are the proceedings of the Workshop on Quantum Logic held in Erice (Sicily), December 2 - 9, 1979, at the Ettore Hajorana Centre for Scientific Culture. A conference of this sort was originally proposed by Giuliano Toraldo di Francia, who suggested the idea to Antonino Zichichi, and thus laid the foundation for the Workshop. To both of them we express our appreciation and thanks, also on behalf of the other participants, for having made this conference possible. There were approximately fifty participants; their names and institutions are listed in the text. Quantum logic, which has now a history of some forty or more years, has seen remarkable growth during the sixties and seventies. The papers in the present volume presuppose, by and large, some acquaintance with the elements of the subject. These may be found in the well-known books by J.H. Jauch (Foundations of Quantum Hechanics; Reading, 1968), V.S. Varadarajan (Geometry of Quantum Theory: Princeton, 1968), and C. Piron (Foundations of Quantum Theory; New York, 1976). The initial program for the conference listed about twenty-five invited papers. But in the context of a very active and qualified attendance, other contributions were offered. This volume contains all of them. The program listed six main topics: I. Classification or different areas of quantum logic, and open problems. II. Comparison and unification of different approaches to quantum theories; problems of interpretation. III. Formal quantum logic; axiomatics. IV. Hodal interpretations of quantum logic. v vi FOREWORD V. Quantum set theory.

Editors and Affiliations

  • University of Genoa, Genoa, Italy

    Enrico G. Beltrametti

  • Istituto di Scienze Fisiche, Genova, Italy

    Enrico G. Beltrametti

  • Department of Philosophy, University of Toronto, Toronto, Canada

    Bas C. Fraassen

  • University of Southern California, Los Angeles, USA

    Bas C. Fraassen

Bibliographic Information

  • Book Title: Current Issues in Quantum Logic

  • Editors: Enrico G. Beltrametti, Bas C. Fraassen

  • Series Title: Ettore Majorana International Science Series

  • DOI: https://doi.org/10.1007/978-1-4613-3228-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1981

  • Softcover ISBN: 978-1-4613-3230-5Published: 12 December 2012

  • eBook ISBN: 978-1-4613-3228-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: 502

  • Number of Illustrations: 4 b/w illustrations

  • Topics: Quantum Physics

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