Disentangling Contradiction from Contrariety via Incompatibility (2016), p. 160
by Beziau, Jean-Yves

Copyright according to our policy

Caption

Meta-triangle of contrarieties of opposition

Logic

Aristotelian family

Contrariety 3-clique

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

Triangle (regular)

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

linguistic

Language

English

Lexical field

metalogic

Contains partial sentences or single words

Yes

Contains abbreviations

No

Edge description

Style

Diagram is colored

Yes

Diagram is embellished

No

Additional notes

This diagram has Boolean complexity 4, because there is still a fourth possibility (NCD).

The negation closure of this diagram is a JSB sigma-3.