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Leonardi.DB
a logical geometry project

Metalogical Decorations of Logical Diagrams (2016), p. 247
by Demey, Lorenz; Smessaert, Hans

Caption

a Hasse and b Aristotelian rhombic dodecahedron for $\wp^\cup(\mathcal{OG})$

Logic

Aristotelian family
Classical Sigma-7
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
Rhombic Dodecahedron (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
2
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
rectangular
,
ellipse
,
rounded rectangular shapes
Label type
symbolic
Symbolic field
metalogic
Contains partial formulas or symbols
No

Edge description

Contains definitions of relations
No
Form
solid lines
,
none
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
Boolean closed
;
non-contingent formulas
;
Hasse diagram
;
Leuven
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