"Setting" n-Opposition (2008), p. 240
by Pellissier, Régis

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Logic

Aristotelian family

Non-Sigma

Boolean complexity

4

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Triangular Prism (irregular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

N.A.

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

No

Form

none

Label type

generic placeholders

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

On p. 240, we read: "each vertex of the top triangle implies the corresponding vertex of the bottom triangle, A, A' et B''form a triangle of strong contrariety, and the same for A, A''et B' and for A', A''et B."

This diagram can be formalized using bitstrings of length 4:
A = 1000, A' = 0100, A'' = 0010
B = 1001, B' = 0101, B'' = 0011

The negation closure of this diagram is a sigma-6.