The Classical Aristotelian Hexagon Versus the Modern Duality Hexagon (2012), p. 181
by Smessaert, Hans

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Caption

The Aristotelian octahedron and the duality octahedron

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

Octahedron

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

spherical

Label type

linguistic

,

symbolic

Language

English

Lexical field

categorical

Contains partial sentences or single words

Yes

Contains abbreviations

No

Symbolic field

bitstrings

Contains partial formulas or symbols

No

Contains protobitstrings

No

Bitstring length

3

Edge description

Contains definitions of relations

No

Form

solid lines

,

none

Has arrowheads

No

Overlap

Yes

Curved

No

Hooked

No

As wide as vertices

No

Contains text

No

Label type

none

Style

Diagram is colored

Yes

Diagram is embellished

No

Tags

Boolean closed

;

Leuven

;

duality