# Von deontischen Quadraten - Kuben - Hyperkuben (2012), p. 80

by Philipps, Lothar

Copyright according to our policy

### Caption

- Hyperkubus 2

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

### Logic

### Geometry

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

### Vertex description

### Edge description

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

### Style

### 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.