The classical Aristotelian hexagon versus the modern duality hexagon

DOI10.1007/s11787-011-0031-8zbMath1280.03009OpenAlexW2023667931MaRDI QIDQ1940912

Hans Smessaert

Publication date: 8 March 2013

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

Full work available at URL: https://doi.org/10.1007/s11787-011-0031-8

zbMATH Keywords

modal logicmonotonicity propertiesduality relationslogical squarelogical hexagonAristotelian relations of oppositionexternal versus internal negation

Mathematics Subject Classification ID

Modal logic (including the logic of norms) (03B45) Logic of natural languages (03B65) Classical first-order logic (03B10) Logical aspects of Boolean algebras (03G05)

Related Items (10)

Metalogical decorations of logical diagrams ⋮ Arrow-Hexagons ⋮ The power of the hexagon ⋮ Was Lewis Carroll an Amazing Oppositional Geometer? ⋮ Graded Generalized Hexagon in Fuzzy Natural Logic ⋮ Graded structures of opposition in fuzzy natural logic ⋮ Graded polygons of opposition in fuzzy formal concept analysis ⋮ Logical geometries and information in the square of oppositions ⋮ On the historical transformations of the square of opposition as semiotic object ⋮ Aristotelian and Duality Relations Beyond the Square of Opposition

Cites Work

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• ``Setting \(n\)-opposition
• Essays in logical semantics
• Mathematical methods in linguistics
• The geometry of standard deontic logic
• On the 3D visualisation of logical relations
• Generalized quantifiers and natural language
• Quantifiers in Formal and Natural Languages
• The theory of quaternialty

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