Why the logical hexagon?

DOI10.1007/s11787-012-0045-xzbMath1272.03036OpenAlexW1999963832MaRDI QIDQ1940908

Alessio Moretti

Publication date: 8 March 2013

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

Full work available at URL: https://doi.org/10.1007/s11787-012-0045-x

zbMATH Keywords

symmetrydualitysimplexnegationparaconsistent logicsquare of oppositioncontradictionstructuralismuniversal logiclogical squarelogical hexagonoppositional geometryanalytical philosophytetrahexahedron

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Paraconsistent logics (03B53) Geometric order structures (51L99)

Related Items (10)

Dialectical Rough Sets, Parthood and Figures of Opposition-I ⋮ Metalogical decorations of logical diagrams ⋮ Logical squares for classical logic sentences ⋮ Arrow-Hexagons ⋮ The power of the hexagon ⋮ Was Lewis Carroll an Amazing Oppositional Geometer? ⋮ From analogical proportion to logical proportions ⋮ Logical geometries and information in the square of oppositions ⋮ Kant's antinomies of pure reason and the `hexagon of predicate negation' ⋮ Aristotelian and Duality Relations Beyond the Square of Opposition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Around and beyond the square of opposition
• ``Setting \(n\)-opposition
• Les temes actuels de la logique deontique. Esquisse de l'etat actuel des recherches dans la logique des normes
• The geometry of standard deontic logic
• On the 3D visualisation of logical relations
• The power of the hexagon
• A hexagonal framework of the field \({\mathbb{F}_4}\) and the associated Borromean logic
• Things that are right with the traditional square of opposition
• Non-traditional squares of predication and quantification
• Aristotle's non-logical works and the square of oppositions in semiotics
• Logical extensions of Aristotle's square
• The critics of paraconsistency and of many-valuedness and the geometry of oppositions
• Sur la structuration du tableau des connectifs interpropositionnels binaires
• Thinking Outside the Square of Opposition Box
• John Buridan’s Theory of Consequence and His Octagons of Opposition
• Fuzzy Syllogisms, Numerical Square, Triangle of Contraries, Inter-bivalence
• Structures of Oppositions in Public Announcement Logic
• The theory of quaternialty

This page was built for publication: Why the logical hexagon?