Structures of Opposition and Comparisons: Boolean and Gradual Cases (2020), p. 126
by Dubois, Didier; Prade, Henri; Rico, Agnès

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Caption

Moretti’s cube of opposition

Logic

Aristotelian family

Moretti-Pellissier Sigma-4

Boolean complexity

4–5

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Cube (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

,

generic placeholders

Symbolic field

logic

Contains partial formulas or symbols

Yes

Logical system

syllogistics

Edge description

Style

Diagram is colored

No

Diagram is embellished

No