The Exoteric Square of Opposition

• 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• De Morgan's unpublished octagon of opposition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 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 - Augustus De Morgan s Unpublished Octagon of Opposition.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.