Einführung in die Logik (1973), p. 87
by Menne, Albert

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Logic

Aristotelian family

Classical Sigma-2

Boolean complexity

3

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Rectangle (irregular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

By central symmetry

Graph structure

SaP

• Contradiction with SoP
• Contrariety with SeP
• Subalternation to SiP

SeP

• Contradiction with SiP
• Contrariety with SaP
• Subalternation to SoP

SoP

• Contradiction with SaP
• Subcontrariety with SiP
• Subalternation from SeP

SiP

• Contradiction with SeP
• Subcontrariety with SoP
• Subalternation from SaP

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

Yes

Form

none

Label type

symbolic

Symbolic field

logic

Contains partial formulas or symbols

No

Logical system

syllogistics

Edge description

Contains definitions of relations

No

Form

solid lines

,

none

Has arrowheads

Yes

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

No

Label type

linguistic

,

symbolic

Language

German

Contains partial sentences or single words

Yes

Contain abbreviations

No

Symbolic field

logic

Contains partial formulas or symbols

Yes

Logical system

propositional logic

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

On the edges of the diagram, $>\!\!\!-\!\!\!-\!\!\!<$ stands for contradiction, / for contrariety, $\vee$ for subcontrariety, and $\rightarrow$ for subalternation.

The edges are labeled with propositional connectives corresponding to the Aristotelian relations (cf. Theorem 1 of Smessaert & Demey, 2014, Logical Geometries and Information in the Square of Oppositions, Journal of Logic, Language and Information 23 : 527 - 565).