The Exoteric Square of Opposition

图书简介

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 Other topics covered include:Hegel’s opposition to diagramsDe Morgan’s unpublished octagon of opposition turnstile figures of oppositioninstitutional model-theoretic treatment of oppositionsLacan’s four formulas of sexuationthe theory of oppositional poly-simplexesThe 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solutions.- The limits of the square - Hegel’s opposition to diagrams in its historical context.- Augustus De Morgan’s Unpublished Octagon of Opposition.- A Bitstring Semantic for Calculus CL.- Logical Diagrams, Visualization Criteria, and Boolean Algebras.- Turnstile Figures of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.

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The Exoteric Square of Opposition（Studies in Universal Logic） 开放的对立四边形：第6届对立四边形世界大会 / 会议录 数理逻辑与数学基础

The Exoteric Square of Opposition（Studies in Universal Logic）

开放的对立四边形：第6届对立四边形世界大会 / 会议录
数理逻辑与数学基础