"Logical Lantern": Analogue of the Square of Opposition for Propositions in V.I. Markin’s Universal Language for Traditional Positive Syllogistic Theories (2024), p. 43
by Cherkashina, Oksana
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Caption
- A variation of Blanché hexagon using the universal language for traditional positive syllogistic theories. (Here some of the lines have different meaning than in the previous scheme.) Thick lines show contradiction, dashed lines – contrariety, double lines – subcontrariety, arrows – subalternation
- Number of labels per vertex (at most)
- 1
- 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
- circular
- Label type
- symbolic
- Symbolic field
- mathematics
- Mathematical branch
- set theory
- Contains definitions of relations
- No
- Form
- bold solid lines ,
- solid lines ,
- dashed lines ,
- double 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
Style
Additional notes
- This diagram is decorated with Pellissier's "setting" technique, which is equivalent to bitstring semantics. In particular, $\wp(\{1,2,3,4,5\})$ corresponds to bitstrings of length 5.