Around and Beyond the Square of Opposition

  • Jean-Yves Béziau
  • Dale Jacquette

Part of the Studies in Universal Logic book series (SUL)

Table of contents

  1. Front Matter
    Pages I-X
  2. Historical and Critical Aspects of the Square

  3. Philosophical Discussion Around the Square of Opposition

    1. Front Matter
      Pages 117-117
    2. John T. Kearns
      Pages 119-127
    3. Pieter A. M. Seuren
      Pages 129-138
    4. Hartley Slater
      Pages 139-145
    5. Fabien Schang
      Pages 147-173
  4. The Square of Opposition and Non-classical Logics

    1. Front Matter
      Pages 191-191
    2. H. Freytes, C. de Ronde, G. Domenech
      Pages 193-200
    3. Duilio D’Alfonso
      Pages 219-227

About this book


The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the original Aristotelian theory.

The square of opposition is a very attractive theme which has been going through centuries without evaporating. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists of the square from all over the world.


intuitionistic logic knowledge linear logic modal logic paraconsistent logic syllogism

Editors and affiliations

  • Jean-Yves Béziau
    • 1
  • Dale Jacquette
    • 2
  1. 1., Institute of PhilosophyFederal University of Rio de JaneiroRio de JaneiroBrazil
  2. 2., Institute of PhilosophyUniversity of BernBernSwitzerland

Bibliographic information

  • DOI
  • Copyright Information Springer Basel 2012
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0378-6
  • Online ISBN 978-3-0348-0379-3
  • About this book