Logical Extensions of Aristotle's Square (2008), p. 180
by Luzeaux, Dominique; Sallantin, Jean; Dartnell, Christopher

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Caption

The tetraicosahedron corresponding to the A’s and C’s of a modal 4(3)-graph.

Logic

Aristotelian family

Classical Sigma-7

Boolean complexity

4

Number of labels per vertex (at most)

1

Errors in the diagram

No

Geometry

Shape

Tetraicosahedron (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

logic

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Boolean closed

Additional notes

The four level-1 formulas (i.e., members of the induced partition) are: $A^1$, $A^2$, $A^3$, $\neg A^1 \wedge \neg A^2 \wedge \neg A^3$.