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Leonardi.DB
a logical geometry project

Théorie algébrique du syllogisme catégorique (1972), p. 556
by Grosjean, P. V.

Caption

La pyramide logique

Logic

Aristotelian family
Keynes-Johnson Sigma-4
Boolean complexity
7
Number of labels per vertex (at most)
2
Equivalence between (some) labels of the same vertex
No
Analogy between (some) labels of the same vertex
No
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Three Dimensional Shape (irregular)
Colinearity range
0
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
dots
Label type
symbolic
Symbolic field
mathematics
,
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics
Mathematical branch
set theory

Edge description

Contains definitions of relations
No
Form
solid lines
,
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
Yes

Style

Diagram is colored
No
Diagram is embellished
No
Tags
subject negation
;
generalized Post duality

Additional notes

Edge labels:
"n.d." = "négation à droite" = right negation
"n.g." = "négation à gauche" = left negation

Cf. generalized Post duality!
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