MacColl's Modes of Modalities (2011), p. 181
by Schang, Fabien
Copyright according to our policy
Caption
- Pellissier's Tetraicosahedron
- 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
- Shape
- Tetraicosahedron (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
- Form
- none
- Label type
- symbolic
- Symbolic field
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- modal logic
- Contains definitions of relations
- No
- Form
- solid lines ,
- none ,
- dashed 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
- Boolean closed
Style
Additional notes
- $\varepsilon$ = certainty
$\eta$ = impossibility
$\pi$ = possibility
$u$ = uncertainty
$\theta$ = variability (neither impossible nor certain)
$\tau$ = truth
$\iota$ = falsity
(Cf. p. 165-166.)