Why the Logical Hexagon? (2012), p. 73
by Moretti, Alessio

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Caption

The new squares of Piaget, Gottschalk and Greimas

Logic

Aristotelian family

Sigma-2 Graph

Boolean complexity

3–4

Number of labels per vertex (at most)

0

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Square (regular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

By central symmetry

Vertex description

Conceptual info

Yes

Mnemonic support (AEIO, purpurea ...)

No

Form

dots

Label type

none

Edge description

Contains definitions of relations

No

Form

solid lines

Has arrowheads

No

Overlap

No

Curved

Yes

Hooked

No

As wide as vertices

No

Contains text

No

Label type

symbolic

Symbolic field

metalogic

Contains partial formulas or symbols

Yes

Style

Diagram is colored

Yes

Diagram is embellished

No

Tags

duality