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Leonardi.DB
a logical geometry project

Aristotelian Diagrams for the Ancient Discussion on Privative and Infinite Negation (2023), p. 165
by García-Cruz, José David; Demey, Lorenz

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Caption

Aristotle's square in Pr. An., 51b 36-38. Full, dashed and dotted lines visualize contradiction, contrariety and subcontrariety, respectively; arrows visualize subalternations.

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 some other geometric feature

Vertex description

Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
generic placeholders

Edge description

Contains definitions of relations
No
Form
dotted lines
,
solid lines
,
dashed 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
Tags
Leuven
;
duality

Additional notes

A = to be good
B = not to be good
C = to be not-good
D = not to be not-good

(Cf. p. 165.)
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