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Leonardi.DB
a logical geometry project

From Blanché's Hexagonal Organization of Concepts to Formal Concept Analysis and Possibility Theory (2012), p. 154
by Dubois, Didier; Prade, Henri

Caption

Hexagon induced by a tripartition ($\textit{A}$, $\textit{B}$, $\textit{C}$)

Logic

Aristotelian family
Jacoby-Sesmat-Blanché Sigma-3
Boolean complexity
3
Number of labels per vertex (at most)
2
Equivalence between (some) labels of the same vertex
Yes
Analogy between (some) labels of the same vertex
No
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Hexagon (regular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
symbolic
Symbolic field
mathematics
Contains partial formulas or symbols
No
Mathematical branch
set theory

Edge description

Contains definitions of relations
No
Form
bold solid lines
,
solid lines
,
double solid lines
Has arrowheads
Yes
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
No
Label type
none

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Boolean closed
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