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Leonardi.DB
a logical geometry project

Traité de Logique Formelle (1930), p. 169
by Tricot, Jules

Logic

Aristotelian family
Buridan Sigma-4
Boolean complexity
6
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
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By some other geometric feature

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
Yes
Form
dots
Label type
linguistic
Language
Latin
Lexical field
modal syllogistics
Contains partial sentences or single words
Yes
Contains abbreviations
No

Edge description

Contains definitions of relations
No
Form
none
,
dashed lines
Has arrowheads
No
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
Yes
Label type
linguistic
,
none
Language
French
Contains partial sentences or single words
Yes
Contain abbreviations
No

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

The vertices contain de dicto quantified modal statements. I and II stand for a universal and existential quantifier, respectively.

Examples:
$\circ$ Purpurea I = it is necessary that all S are P
$\circ$ Purpurea II = it is necessary that some S are P
$\circ$ Amabimus I = it is possible that all S are P
$\circ$ Amabimus II = it is possible that some S are P

(Cf. pp. 168-169.)
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