Reasoning in Quantum Theory

Sharp and Unsharp Quantum Logics

  • M. Dalla Chiara
  • R. Giuntini
  • R. Greechie
Part of the Trends in Logic book series (TREN, volume 22)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Mathematical and Physical Background

    1. Front Matter
      Pages 1-8
    2. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 9-40
    3. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 41-64
    4. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 65-74
    5. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 75-85
    6. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 87-113
    7. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 115-135
    8. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 137-145
  3. Quantum Logics as Logic

    1. Front Matter
      Pages 147-154
    2. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 155-169
    3. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 171-177
    4. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 179-183
    5. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 185-191
    6. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 193-200
    7. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 201-216
    8. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 217-223
    9. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 225-236
    10. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 237-247
    11. M. Dalla Chiara, R. Giuntini, R. Greechie
      Pages 249-266

About this book

Introduction

"Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking.
For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to advanced graduate students and researchers of other disciplines.

Keywords

Algebraic structure Lattice algebra axiomatization quantum theory semantics

Authors and affiliations

  • M. Dalla Chiara
    • 1
  • R. Giuntini
    • 2
  • R. Greechie
    • 3
  1. 1.University of FlorenceItaly
  2. 2.University of CagliariItaly
  3. 3.Louisiana Tech UniversityRustonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-0526-4
  • Copyright Information Springer Science+Business Media B.V. 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6562-9
  • Online ISBN 978-94-017-0526-4
  • Series Print ISSN 1572-6126
  • Series Online ISSN 2212-7313
  • About this book