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Leonardi.DB
a logical geometry project

Von deontischen Quadraten - Kuben - Hyperkuben (2012), p. 80
by Philipps, Lothar

Copyright according to our policy

Caption

Hyperkubus 2

Logic

Aristotelian family
Sigma-8 Graph
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Square (regular)
Colinearity range
0
Coplanarity range
12
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
Tags
composed operator duality

Additional notes

A visual variant of this diagram appears on p. 79 of the same paper (with the caption 'Deontischer Hyperkubus 1').

The formulas in this diagram follow the composed operator duality pattern "deontic operator - quantifier - quantifier" and thus have 4 negation positions (external, intermediate 1, intermediate 2, internal), yielding 2^4 = 16 formulas.
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