On the Transformations of the Square of Opposition from the Point of View of Institution Model Theory (2022), p. 290
by Kiouvrekis, Yiannis; Stefaneas, Petros; Vandoulakis, Ioannis M.

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Caption

The fundamental Aristotelian relations. (a) Relation of subalternation. (b) Relation of subcontrariety. (c) Relation of contrariety. (d) Relation of contradictoriness

Logic

Aristotelian family

Non-Sigma

Boolean complexity

3

Number of labels per vertex (at most)

1

Errors in the diagram

No

Geometry

Shape

Digon (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 ...)

No

Form

none

Edge description

Contains definitions of relations

No

Form

solid lines

Has arrowheads

Yes

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

No

Label type

none

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

The negation closure of this diagram is a classical sigma-2.