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The Exoteric Square of Opposition: The Sixth World Congress on the Square of Opposition de Jean-Yves Beziau

The Exoteric Square of Opposition: The Sixth World Congress on the Square of Opposition: Studies in Universal Logic

Editat de Jean-Yves Beziau, Ioannis Vandoulakis
en Limba Engleză Paperback – 25 aug 2023
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  • De Morgan’s unpublished octagon of opposition 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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Specificații

ISBN-13: 9783030908256
ISBN-10: 3030908259
Ilustrații: X, 479 p. 299 illus., 193 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.68 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Studies in Universal Logic

Locul publicării:Cham, Switzerland

Cuprins

The Square of opposition: Past, Present and Future.- Division of Entities and Foundations of Reality: Aristotle’s Ontological Square.- Logical Oppositions in Avicenna’s Hypothetical Logic.- Incommensurability and Inapplicability of the Squares of Opposition.- The square of opposition as a framework for Stephen Langton’s theological solutions.- The limits of the square - Hegel’s opposition to diagrams in its historical context.- Augustus De Morgan’s Unpublished Octagon of Opposition.- A Bitstring Semantic for Calculus CL.- Logical Diagrams, Visualization Criteria, and Boolean Algebras.- Turnstile Figures of Opposition.- The Naturalness of Jacques Lacan's Logic.- On Modal Opposition within some Modal Discussive Logics.- On the Transformations of the Square of Opposition from the point of view of Institution Model Theory.- Color-Coded Epistemic Modes in a Jungian Hexagon of Opposition.- Many-valued logical hexagons in a 3-oppositional trisimplex.- Tri-Simplicial Contradiction: the Pascalian 3D Simplex and its Oppositional Tri-Segment.

Textul de pe ultima copertă

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 topure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts.

Caracteristici

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