On the 3D visualisation of logical relations

DOI10.1007/s11787-009-0010-5zbMath1255.03032OpenAlexW2037730906MaRDI QIDQ1931340

Hans Smessaert

Publication date: 25 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11787-009-0010-5

zbMATH Keywords

modal logicpolyhedraBoolean algebracontradictioncontrarietylogical squarelogical hexagon3D visualisationAristotelian relations of opposition

Mathematics Subject Classification ID

Modal logic (including the logic of norms) (03B45) Logical aspects of Boolean algebras (03G05)

Related Items (23)

Metalogical decorations of logical diagrams ⋮ Logical squares for classical logic sentences ⋮ The Logical Burdens of Proof. Assertion and Hypothesis ⋮ The geometry of standard deontic logic ⋮ The English Tenses, Blanché and the Logical Kite ⋮ Arrow-Hexagons ⋮ No, No, and No ⋮ Why the logical hexagon? ⋮ From Blanché's hexagonal organization of concepts to formal concept analysis and possibility theory ⋮ The classical Aristotelian hexagon versus the modern duality hexagon ⋮ Logic and colour ⋮ Was Lewis Carroll an Amazing Oppositional Geometer? ⋮ Graded Generalized Hexagon in Fuzzy Natural Logic ⋮ Paranegations and the square of oppositions ⋮ Graded structures of opposition in fuzzy natural logic ⋮ Combinatorial bitstring semantics for arbitrary logical fragments ⋮ General Patterns of Opposition Squares and 2n-gons ⋮ Structures of Oppositions in Public Announcement Logic ⋮ Logical geometries and information in the square of oppositions ⋮ Geometric and cognitive differences between logical diagrams for the Boolean algebra \(\mathbb {B}_{4}\) ⋮ Round Squares Are No Contradictions (Tutorial on Negation Contradiction and 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

Cites Work

• ``Setting \(n\)-opposition
• Mathematical methods in linguistics
• The geometry of standard deontic logic
• Logical extensions of Aristotle's square
• Generalized quantifiers and natural language
• Quantifiers in Formal and Natural Languages
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the 3D visualisation of logical relations