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  • © 2017

The Square of Opposition: A Cornerstone of Thought

Birkhäuser

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

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-vi
  2. Introduction

    1. Front Matter

      Pages 1-1
    2. The Square of Opposition: A Cornerstone of Thought

      • Jean-Yves Béziau, Gianfranco Basti
      Pages 3-12
  3. Historical Perspectives on the Square

    1. Front Matter

      Pages 19-19
  4. Reinterpretations of the Square

    1. Front Matter

      Pages 79-79
    2. Two Standard and Two Modal Squares of Opposition

      • Jiří Raclavský
      Pages 119-142
  5. Philosophical Perspectives on the Square

    1. Front Matter

      Pages 143-143
    2. The Many Faces of Inconsistency

      • Bobenrieth M. Andrés
      Pages 145-167
    3. Aristotle, Frege and “Second Nature”

      • Raffaela Giovagnoli, Philip Larrey
      Pages 169-178
    4. There Is No Cube of Opposition

      • Jean-Yves Béziau
      Pages 179-193
  6. Theoretical Investigations on the Square

    1. Front Matter

      Pages 195-195
    2. The Unreasonable Effectiveness of Bitstrings in Logical Geometry

      • Hans Smessaert, Lorenz Demey
      Pages 197-214
    3. An Arithmetization of Logical Oppositions

      • Fabien Schang
      Pages 215-237
    4. Groups, Not Squares: Exorcizing a Fetish

      • 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.

Editors and Affiliations

  • Research Council, University of Brazil, Rio de Janeiro, Brazil

    Jean-Yves Béziau

  • Faculty of Philosophy, Pontifical Lateran University, Rome, Italy

    Gianfranco Basti

Bibliographic Information

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access