Current Issues in Quantum Logic

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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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.

• Minkowski spacetime
• classification
• geometry
• growth
• iron
• paper
• quantum mechanics
• quantum physics
• quantum theory

• 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

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