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Leonardi.DB
a logical geometry project

Why the Logical Hexagon? (2012), p. 74
by Moretti, Alessio

Caption

Jacoby’s discovery of a triangle of subcontrariety (1950)

Logic

Aristotelian family
Jacoby-Sesmat-Blanché Sigma-3
Boolean complexity
3
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 (irregular)
Colinearity range
1
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By diametric opposition (but no central symmetry)

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
Yes
Form
none
Label type
linguistic
,
symbolic
Language
English
Lexical field
syllogistics
Contains partial sentences or single words
Yes
Contains abbreviations
No
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics

Edge description

Contains definitions of relations
No
Form
solid lines
,
none
Has arrowheads
No
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
Yes
Label type
linguistic
,
none
Language
English
Contains partial sentences or single words
Yes
Contain abbreviations
No

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Boolean closed
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