``Setting \(n\)-opposition

DOI10.1007/s11787-008-0038-yzbMath1156.03021OpenAlexW2001457416MaRDI QIDQ1001370

Régis Pellissier

Publication date: 17 February 2009

Published in: Logica Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11787-008-0038-y

zbMATH Keywords

classical modal logic\(\beta \)-structure\(n\)-opposition\(n\)-partition of the trueAristotle's squareBlanché's logical hexagonlogical bisimplexeslogical cubeMoretti's modal graphopposition theoryS5 system of modal logicset translation of modal graphstetraicosahedron

Mathematics Subject Classification ID

Modal logic (including the logic of norms) (03B45)

Related Items

Structures of opposition induced by relations. The Boolean and the gradual cases, Metalogical decorations of logical diagrams, Syllogisms and 5-square of opposition with intermediate quantifiers in fuzzy natural logic, Graded cubes of opposition and possibility theory with fuzzy events, Schopenhauer's partition diagrams and logical geometry, Graded cubes of opposition in fuzzy formal concept analysis, The geometry of standard deontic logic, On the 3D visualisation of logical relations, Arrow-Hexagons, The power of the hexagon, Why the logical hexagon?, A hexagonal framework of the field \({\mathbb{F}_4}\) and the associated Borromean logic, From Blanché's hexagonal organization of concepts to formal concept analysis and possibility theory, The classical Aristotelian hexagon versus the modern duality hexagon, On the logical geometry of geometric angles, Was Lewis Carroll an Amazing Oppositional Geometer?, Graded Generalized Hexagon in Fuzzy Natural Logic, From Euler Diagrams in Schopenhauer to Aristotelian Diagrams in Logical Geometry, Paranegations and the square of oppositions, The theory of intermediate quantifiers in fuzzy natural logic revisited and the model of ``many, Graded structures of opposition in fuzzy natural logic, Graded polygons of opposition in fuzzy formal concept analysis, Combinatorial bitstring semantics for arbitrary logical fragments, Structures of Oppositions in Public Announcement Logic, Geometric and cognitive differences between logical diagrams for the Boolean algebra \(\mathbb {B}_{4}\), Boolean considerations on John Buridan's octagons of opposition, Structures of opposition and comparisons: Boolean and gradual cases, Round Squares Are No Contradictions (Tutorial on Negation Contradiction and Opposition), Logical and geometrical distance in polyhedral Aristotelian diagrams in knowledge representation