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Leonardi.DB
a logical geometry project

Possibility, Contingency and the Hexagon of Modalities (2017), p. 281
by Beziau, Jean-Yves

Caption

CONTRARIETY TRIANGLE OF MODALITIES

Logic

Aristotelian family
Contrariety 3-clique
Boolean complexity
3–4
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Triangle (regular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
N.A.

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
linguistic
Language
English
Lexical field
modalities
Contains partial sentences or single words
Yes
Contains abbreviations
No

Edge description

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

Style

Diagram is colored
Yes
Diagram is embellished
No

Additional notes

The negation closure of this diagram is a JSB sigma-3.
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