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Leonardi.DB
a logical geometry project

Metalogical Decorations of Logical Diagrams (2016), p. 262
by Demey, Lorenz; Smessaert, Hans

Caption

Aristotelian hexagon for a a total order, and b a partial order

Logic

Aristotelian family
Non-Sigma
Boolean complexity
4
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Hexagon (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
N.A.

Vertex description

Conceptual info
Yes
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
symbolic
Symbolic field
mathematics
Contains partial formulas or symbols
Yes
Mathematical branch
order theory

Edge description

Contains definitions of relations
No
Form
dotted lines
,
solid lines
,
none
,
dashed lines
Has arrowheads
No
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

Additional notes

The negation closure of this diagram is a sigma-6 diagram.
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