The Exoteric Square of Opposition

The Sixth World Congress on the Square of Opposition

Jean-Yves Beziau, Ioannis Vandoulakis (Herausgeber)

Buch | Softcover

X, 479 Seiten

2023 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-90825-6 (ISBN)

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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De Morgan's unpublished octagon of opposition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.

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solutions.- The limits of the square - Hegel's opposition to diagrams in its historical context.- Augustus De Morgan's Unpublished Octagon of Opposition.- A Bitstring Semantic for Calculus CL.- Logical Diagrams, Visualization Criteria, and Boolean Algebras.- Turnstile Figures of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.

Erscheinungsdatum	26.08.2023
Reihe/Serie	Studies in Universal Logic
Zusatzinfo	X, 479 p. 299 illus., 193 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	747 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Schlagworte	Boolean algebra • Modal Logic • modal square of opposition • square of opposition • theory of opposition
ISBN-10	3-030-90825-9 / 3030908259
ISBN-13	978-3-030-90825-6 / 9783030908256
Zustand	Neuware