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Leonardi.DB
a logical geometry project

The Classical Aristotelian Hexagon Versus the Modern Duality Hexagon (2012), p. 184
by Smessaert, Hans

Caption

The monotonicity hexagon

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
No
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 (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
Yes
Form
none
Label type
symbolic
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics
,
generalized quantifier theory

Edge description

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

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Boolean closed
;
Leuven
;
duality
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