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- De Morgan’s unpublished octagon of opposition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solutions.- The limits of the square – Hegel’s opposition to diagrams in its historical context.- Augustus De Morgan’s Unpublished Octagon of Opposition.- A Bitstring Semantic for Calculus CL.- Logical Diagrams, Visualization Criteria, and Boolean Algebras.- Turnstile Figures of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