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  • Conference proceedings
  • © 2022

The Exoteric Square of Opposition

The Sixth World Congress on the Square of Opposition

Birkhäuser

Editors:

(view affiliations)
  • Highlights new research related to the square of opposition

  • Examines the theory of the square of opposition through an interdisciplinary lens

  • Explores the past, present, and future of the field

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

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About this book

The theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle’s ontological square, logical oppositions in Avicenna’s hypothetical logic, and the power of the square of opposition to solve theological problems regarding predestination and theodicy. Other topics covered include:
  • Hegel’s opposition to diagrams
  • De Morgan’s unpublished octagon of opposition 
  • turnstile figures of opposition
  • institutional model-theoretic treatment of oppositions
  • Lacan’s four formulas of sexuation
  • the theory of oppositional poly-simplexes
The Exoteric Square of Opposition will appeal to pure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts.

Keywords

  • square of opposition
  • modal logic
  • Boolean algebra
  • modal square of opposition
  • theory of opposition

Editors and Affiliations

  • Philosophy, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

    Jean-Yves Béziau

  • The University of Thessaly, Zografou, Greece

    Ioannis M. Vandoulakis

Bibliographic Information

Buying options

Hardcover Book
USD 199.99
Price excludes VAT (USA)
This title has not yet been released. You will be able to pre-order it soon.