"Logical Lantern": Analogue of the Square of Opposition for Propositions in V.I. Markin’s Universal Language for Traditional Positive Syllogistic Theories (2024), p. 38
by Cherkashina, Oksana
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Caption
- “Logical lantern”. Basic scheme for logical relations among propositions about relations between two nonempty sets
- Number of labels per vertex (at most)
- 1
- Errors in the diagram
- No
- Shape
- Decagon (irregular)
- Colinearity range
- 0
- Coplanarity range
- 22
- Cospatiality range
- 0
- Representation of contradiction
- By central symmetry
Logic
Geometry
- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- No
- Form
- circular ,
- none
- Label type
- linguistic ,
- symbolic
- Language
- English
- Contains partial sentences or single words
- Yes
- Contains abbreviations
- No
- Symbolic field
- mathematics
- Mathematical branch
- set theory
- Contains definitions of relations
- No
- Form
- bold solid lines ,
- solid lines ,
- none
- Has arrowheads
- No
- Overlap
- No
- Curved
- Yes
- 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.