Metalogical Decorations of Logical Diagrams (2016), p. 243
by Demey, Lorenz; Smessaert, Hans

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Caption

a Non-degenerated duality square, b degenerated duality diagram for operators that that are their own dual, c degenerated duality diagram for operators that are their own internal negation

Logic

Aristotelian family

A Single PCD

Boolean complexity

2

Number of labels per vertex (at most)

2

Equivalence between (some) labels of the same vertex

Yes

Analogy between (some) labels of the same vertex

No

Uniqueness of the vertices up to logical equivalence

Yes

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

Label type

symbolic

Symbolic field

logic

Contains partial formulas or symbols

No

Edge description

Contains definitions of relations

No

Form

dash-double-dotted lines

,

solid lines

,

dash-dotted lines

Has arrowheads

No

Overlap

No

Curved

Yes

Hooked

No

As wide as vertices

No

Contains text

No

Label type

none

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Boolean closed

;

Leuven

;

duality