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Leonardi.DB
a logical geometry project

Computation of Aristotle's and Gergonne's syllogisms (1987), p. 211
by Furs, S. N.

Logic

Aristotelian family
Degenerate Sigma-3 with Unconnectedness 4
Boolean complexity
5
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
0–1
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By some other geometric feature

Vertex description

Conceptual info
Yes
Mnemonic support (AEIO, purpurea ...)
Yes
Form
circular
Label type
symbolic
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics

Edge description

Contains definitions of relations
No
Form
solid lines
Has arrowheads
Yes
Overlap
No
Curved
Yes
Hooked
No
As wide as vertices
No
Contains text
Yes
Label type
linguistic
,
symbolic
Language
English
Contains partial sentences or single words
Yes
Contain abbreviations
Yes
Symbolic field
mathematics
Contains partial formulas or symbols
Yes
Mathematical branch
order theory

Style

Diagram is colored
No
Diagram is embellished
No
Tags
non-contingent formulas

Additional notes

In the logical and geometrical annotation of this diagram, the presence of the top/tautological element (1) has been disregarded.
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