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Alternative Logics. Do Sciences Need Them?

  • Paul Weingartner

Table of contents

  1. Front Matter
    Pages I-XVII
  2. General Topics

    1. Front Matter
      Pages 1-1
    2. Evandro Agazzi
      Pages 3-26
    3. Francisco Miró Quesada
      Pages 27-39
    4. Jesús Mosterín
      Pages 55-63
    5. Graham Priest
      Pages 65-78
  3. Alternative Proposals

    1. Front Matter
      Pages 93-93
    2. Newton C. A. da Costa, Otávio Bueno, Analice Volkov
      Pages 95-114
    3. Gerhard Heinzmann
      Pages 165-173
  4. Alternative Logics Motivated by Problems of Application to Science

    1. Front Matter
      Pages 175-175
    2. Paul Gochet, Pascal Gribomont
      Pages 177-203
    3. David Ritz Finkelstein, James Baugh
      Pages 215-231
    4. Paul Weingartner
      Pages 233-248
    5. Peter Mittelstaedt
      Pages 269-284
    6. Ernst-Walther Stachow
      Pages 285-298
    7. Vladimir L Vasyukov
      Pages 299-321
    8. Gianpiero Cattaneo, Maria Luisa Dalla Chiara, Roberto Giuntini
      Pages 323-338
    9. Enrico G. Beltrametti
      Pages 339-347
    10. Miklós Rédei
      Pages 349-360
  5. Back Matter
    Pages 361-367

About this book

Introduction

Initially proposed as rivals of classical logic, alternative logics have become increasingly important in sciences such as quantum physics, computer science, and artificial intelligence. The contributions collected in this volume address and explore the question whether the usage of logic in the sciences, especially in modern physics, requires a deviation from classical mathematical logic. The articles in the first part of the book set the scene by describing the context and the dilemma when applying logic in science. In Part II the authors offer several logics that deviate in different ways from classical logics. The twelve papers in Part III investigate in detail specific aspects such as quantum logic, quantum computation, computer-science considerations, praxic logic, and quantum probability. Most of the contributions are revised and partially extended versions of papers presented at a conference of the same title of the Académie Internationale de Philosophie des Sciences held at the Internationales Forschungszentrum Salzburg in May 1999. Others have been added to complete the picture of recent research in alternative logics as they have been developed for applications in the sciences.

Keywords

Combinatory Logic Interpretation of Science Non-Classical Logic Quantum Logic artificial intelligence intelligence interpret learning logic mathematical logic metaphysics philosophy semantics set theory truth

Editors and affiliations

  • Paul Weingartner
    • 1
  1. 1.Institut für WissenschaftstheorieInternationales Forschungszentrum für Grundfragen der WissenschaftenSalzburgAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05679-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07391-5
  • Online ISBN 978-3-662-05679-0
  • Buy this book on publisher's site