Structures of Opposition and Comparisons: Boolean and Gradual Cases (2020), p. 135
by Dubois, Didier; Prade, Henri; Rico, Agnès

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Caption

Reichenbach cube of opposition

Logic

Aristotelian family

Moretti-Pellissier Sigma-4

Boolean complexity

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 some other geometric feature

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

Yes

Form

none

Label type

symbolic

Symbolic field

logic

Contains partial formulas or symbols

Yes

Logical system

syllogistics

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Tags

subject negation

;

generalized Post duality