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Current Issues in Quantum Logic

  • Enrico G. Beltrametti
  • Bas C. van Fraassen

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. 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
    2. D. J. Foulis, C. H. Randall
      Pages 35-52
    3. Gary M. Hardegree, Patricia J. Frazer
      Pages 53-76
    4. R. I. G. Hughes
      Pages 77-87
    5. Jeffrey Bub
      Pages 89-100
    6. Roger M. Cooke, J. Hilgevoord
      Pages 101-113
  4. Formal Quantum Logic: Axiomatics

    1. Front Matter
      Pages 129-129
    2. Janusz Czelakowski
      Pages 131-146
    3. M. L. Dalla Chiara
      Pages 147-159
    4. Ernst-Walther Stachow
      Pages 173-191
    5. Aleksander Kron, Zvonko Maric, Slobodan Vujosevic
      Pages 193-207
    6. Gary M. Hardegree
      Pages 209-225
  5. Modal Interpretations of Quantum Logic

    1. Front Matter
      Pages 227-227
    2. Bas C. van Fraassen
      Pages 229-258
    3. Sławomir Bugajski
      Pages 283-299
  6. Quantum Set Theory

    1. Front Matter
      Pages 301-301
    2. Gaisi Takeuti
      Pages 303-322
    3. David Finkelstein
      Pages 323-331
    4. Gudrun Kalmbach
      Pages 333-340
    5. Stanley P. Gudder
      Pages 341-352
  7. Advances Concerning Mathematical Structure: Other Problems

  8. Back Matter
    Pages 479-492

About this book

Introduction

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.

Keywords

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

Editors and affiliations

  • Enrico G. Beltrametti
    • 1
    • 4
  • Bas C. van Fraassen
    • 2
    • 3
  1. 1.University of GenoaGenoaItaly
  2. 2.Department of PhilosophyUniversity of TorontoTorontoCanada
  3. 3.University of Southern CaliforniaLos AngelesUSA
  4. 4.Istituto di Scienze FisicheGenovaItaly

Bibliographic information