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Leonardi.DB
a logical geometry project

Metalogical Decorations of Logical Diagrams (2016), p. 245
by Demey, Lorenz; Smessaert, Hans

Copyright according to our policy

Caption

a Generalized Post duality cube, and b, c two generalized Post duality squares

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
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
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
symbolic
Symbolic field
logic
Contains partial formulas or symbols
No
Logical system
propositional logic

Edge description

Contains definitions of relations
No
Form
dash-double-dotted lines
,
solid lines
,
dash-dotted lines
Has arrowheads
No
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
Yes
Label type
symbolic
Symbolic field
metalogic
Contains partial formulas or symbols
Yes

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Leuven
;
generalized Post duality
;
duality

Additional notes

The edge label '1' indicates that internal negation applies to the first argument.
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