Von deontischen Quadraten - Kuben - Hyperkuben (2012), p. 75
by Philipps, Lothar
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Caption
- Deontischer Kubus 1
- Aristotelian family
- Buridan Sigma-4
- Boolean complexity
- 6
- Number of labels per vertex (at most)
- 1
- Uniqueness of the vertices up to logical equivalence
- Yes
- Errors in the diagram
- No
- Shape
- Rectangular Cuboid (irregular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By central symmetry
Logic
Geometry
- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- No
- Label type
- linguistic
- Contains abbreviations
- No
- Contains definitions of relations
- No
- Form
- solid lines
- Has arrowheads
- Yes
- Overlap
- No
- Curved
- No
- Hooked
- No
- As wide as vertices
- No
- Contains text
- No
- Label type
- none
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. 77 of the same paper (with the caption 'Deontischer Kubus 2').
The formulas in this diagram follow the composed operator duality pattern "deontic operator - quantifier" and thus have 3 negation positions (external, intermediate, internal), yielding 2^3 = 8 formulas.