The Classical Aristotelian Hexagon Versus the Modern Duality Hexagon (2012), p. 191
by Smessaert, Hans

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Caption

The proportional duality hexagon

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

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 ...)

No

Form

none

Label type

linguistic

Language

English

Lexical field

proportional quantifiers

Contains partial sentences or single words

Yes

Contains abbreviations

No

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