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Leonardi.DB
a logical geometry project

Les Oppositions Modales dans la Logique d'Al Fārābi (2016), p. 24
by Chatti, Saloua

Logic

Aristotelian family
Sigma-9 Graph
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Octagon (irregular)
Colinearity range
0–1
Coplanarity range
4
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
linguistic
Language
French
Lexical field
modal syllogistics
,
categorical
,
singular propositions
Contains partial sentences or single words
No
Contains abbreviations
Yes

Edge description

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

In our annotation we ignore the proposition "Z est possiblement B et possiblement non B". If this proposition is taken into consideration as well, we are dealing with a non-sigma diagram instead of a sigma-9.
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