Boolean Differences between Two Hexagonal Extensions of the Logical Square of Oppositions (2012), p. 198
by Smessaert, Hans

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Caption

(a) Hexagon SC4, (b) Hexagon SC5, (c) Hexagon SC6

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 (regular)

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

bitstrings

,

logic

Contains partial formulas or symbols

Yes

Contains protobitstrings

No

Bitstring length

4

Logical system

syllogistics

Edge description

Contains definitions of relations

No

Form

dotted lines

,

solid lines

,

dashed lines

Has arrowheads

Yes

Overlap

No

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

;

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