Metalogical Decorations of Logical Diagrams (2016), p. 257
by Demey, Lorenz; Smessaert, Hans

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Caption

a Béziau’s partially correct hexagon, b a plausible reformulation in terms of elements of $\wp^\cup(\mathcal{OG})$, and c the corrected version

Logic

Aristotelian family

Jacoby-Sesmat-Blanché Sigma-3

Boolean complexity

3–4

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

Yes

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

symbolic

Symbolic field

metalogic

Contains partial formulas or symbols

No

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Leuven

Additional notes

Cf. p. 256-257:

* the three contrarieties and the six subalternations are correct
* the three contradictions are incorrect (they should actually be contrarieties)
* the three subcontrarieties are incorrect (they should actually be relations of unconnectedness)