The Square of Opposition in Catholic hands: a chapter in the history of 20th-century logic (2016), p. 9
by Jaspers, Dany; Seuren, Pieter A. M.
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Caption
- System $\Sigma^{\text{8NR}+}$ (SMPL) (a) as an octagon, (b) reduced to two diagonals.
- Aristotelian family
- Degenerate Sigma-2 with Unconnectedness 4
- Boolean complexity
- 4
- Number of labels per vertex (at most)
- 1
- Uniqueness of the vertices up to logical equivalence
- No
- Errors in the diagram
- No
- Shape
- Octagon (regular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By central symmetry
Logic
Geometry
- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- Yes
- Form
- none
- Label type
- symbolic
- Symbolic field
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- syllogistics
Vertex description
Edge description
- Diagram is colored
- No
- Diagram is embellished
- No
- Tags
- Leuven
Style
Additional notes
- Another visualization occurs on p. 9; cf. here.