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The Exoteric Square of Opposition

The Sixth World Congress on the Square of Opposition

Ioannis Vandoulakis (Hrsg.), Jean-Yves Beziau (Hrsg.)

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Grundlagen

Beschreibung

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  • De Morgan’s unpublished octagon of opposition 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.

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Schlagwörter

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