![](/diagrams/schang_2011_maccoll-s-modes-of-modalities_1drl9b95m_p-165_1faqh9aal/images/display.jpeg?url=http%3A%2F%2Fpurl.org%2Flg%2Fdiagrams%2Fschang_2011_maccoll-s-modes-of-modalities_1drl9b95m_p-165_1faqh9aal%2Fimages%2Fdisplay.jpeg)
MacColl's Modes of Modalities (2011), p. 165
by Schang, Fabien
![]( /diagrams/schang_2011_maccoll-s-modes-of-modalities_1drl9b95m_p-165_1faqh9aal/images/display.jpeg?url=http%3A%2F%2Fpurl.org%2Flg%2Fdiagrams%2Fschang_2011_maccoll-s-modes-of-modalities_1drl9b95m_p-165_1faqh9aal%2Fimages%2Fdisplay.jpeg )
Copyright according to our policy
Caption
- Blanché's Hexagon
- Aristotelian family
- Jacoby-Sesmat-Blanché Sigma-3
- 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
- Shape
- Hexagon (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 ,
- 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)
(Cf. p. 165-166.)