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The interaction between logic and geometry in Aristotelian diagrams

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Publication:1664368
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DOI10.1007/978-3-319-42333-3_6zbMath1394.68369OpenAlexW2499258114MaRDI QIDQ1664368

Lorenz Demey, Hans Smessaert

Publication date: 27 August 2018

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/537418


zbMATH Keywords

symmetry grouphexagonoctahedronlogical geometryAristotelian diagramsquare of oppositionscross-polytope


Mathematics Subject Classification ID

Logic in artificial intelligence (68T27) Knowledge representation (68T30)


Related Items (9)

Schopenhauer's partition diagrams and logical geometry ⋮ On the cognitive potential of derivative meaning in Aristotelian diagrams ⋮ A database of Aristotelian diagrams: empirical foundations for logical geometry ⋮ From Euler diagrams to Aristotelian diagrams ⋮ From Euler Diagrams in Schopenhauer to Aristotelian Diagrams in Logical Geometry ⋮ Boolean considerations on John Buridan's octagons of opposition ⋮ Logical and geometrical distance in polyhedral Aristotelian diagrams in knowledge representation ⋮ Between Square and Hexagon in Oresme's Livre du Ciel et du Monde ⋮ Aristotelian and Duality Relations Beyond the Square of Opposition







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