LEADER 04171nam 22006495 450 001 9910590078503321 005 20251113185004.0 010 $a3-030-90823-2 024 7 $a10.1007/978-3-030-90823-2 035 $a(MiAaPQ)EBC7077188 035 $a(Au-PeEL)EBL7077188 035 $a(CKB)24738991800041 035 $a(PPN)264192397 035 $a(OCoLC)1343249790 035 $a(DE-He213)978-3-030-90823-2 035 $a(EXLCZ)9924738991800041 100 $a20220823d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Exoteric Square of Opposition $eThe Sixth World Congress on the Square of Opposition /$fedited by Jean-Yves Beziau, Ioannis Vandoulakis 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (480 pages) 225 1 $aStudies in Universal Logic,$x2297-0290 311 08$aPrint version: Beziau, Jean-Yves The Exoteric Square of Opposition Cham : Springer International Publishing AG,c2022 9783030908225 320 $aIncludes bibliographical references. 327 $aThe 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-- The limits of the square - Hegel?s opposition to diagrams in its historical context -- Augustus De Morgan?s Unpublished Octagon of Opposition -- A Bitstring Semantic for Calculus CL -- Logical Diagrams, Visualization Criteria, and Boolean Algebras -- Turnstile Figures of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. 330 $aThe theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle?s ontological square, logical oppositions in Avicenna?s hypothetical logic, and the power of the square of opposition to solve theological problems regarding predestination and theodicy. Other topics covered include: Hegel?s opposition to diagrams De Morgan?s unpublished octagon of opposition turnstile figures of opposition institutional model-theoretic treatment of oppositions Lacan?s four formulas of sexuation the theory of oppositional poly-simplexes The Exoteric Square of Opposition will appeal topure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts. 410 0$aStudies in Universal Logic,$x2297-0290 606 $aLogic, Symbolic and mathematical 606 $aLogic 606 $aPhilosophy 606 $aMathematical Logic and Foundations 606 $aPhilosophical Logic 606 $aLogic 606 $aPhilosophy 615 0$aLogic, Symbolic and mathematical. 615 0$aLogic. 615 0$aPhilosophy. 615 14$aMathematical Logic and Foundations. 615 24$aPhilosophical Logic. 615 24$aLogic. 615 24$aPhilosophy. 676 $a110 676 $a160 702 $aBe?ziau$b Jean-Yves 702 $aVandoulakis$b Ioannis 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910590078503321 996 $aThe exoteric square of opposition$93363950 997 $aUNINA