© 2017

The Square of Opposition: A Cornerstone of Thought

  • Jean-Yves Béziau
  • Gianfranco Basti

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

Table of contents

  1. Front Matter
    Pages i-vi
  2. Introduction

  3. Historical Perspectives on the Square

  4. Reinterpretations of the Square

  5. Philosophical Perspectives on the Square

    1. Front Matter
      Pages 143-143
    2. Bobenrieth M. Andrés
      Pages 145-167
    3. Raffaela Giovagnoli, Philip Larrey
      Pages 169-178
    4. Jean-Yves Béziau
      Pages 179-193
  6. Theoretical Investigations on the Square

    1. Front Matter
      Pages 195-195
    2. Hans Smessaert, Lorenz Demey
      Pages 197-214
    3. Fabien Schang
      Pages 215-237
    4. Walter Carnielli
      Pages 239-250

About this book


This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world. 

 The papers range from historical considerations to new mathematical developments of the theory of opposition including applications to theology, theory of argumentation and metalogic.


Square of Opposition Hexagon of Opposition Visual Reasoning Modal logic Paraconsistent logic

Editors and affiliations

  • Jean-Yves Béziau
    • 1
  • Gianfranco Basti
    • 2
  1. 1.Research CouncilUniversity of BrazilRio de JaneiroBrazil
  2. 2.Faculty of PhilosophyPontifical Lateran UniversityRomeItaly

Bibliographic information