From Aristotle's Square of Opposition to the "Tri-unity's Concordance": Cusanus' Non-classical Reasoning (2017), p. 60
by Drago, Antonino
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Caption
- The square of opposition stretched to a coincidence of contradictories
- Aristotelian family
- A Single PCD
- Boolean complexity
- 1
- Number of labels per vertex (at most)
- 3
- Equivalence between (some) labels of the same vertex
- Yes
- Analogy between (some) labels of the same vertex
- No
- Uniqueness of the vertices up to logical equivalence
- Yes
- Errors in the diagram
- No
- Shape
- Digon (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 ,
- predicate logic
- Contains definitions of relations
- No
- Form
- solid lines
- Has arrowheads
- No
- Overlap
- No
- Curved
- No
- Hooked
- No
- As wide as vertices
- No
- Contains text
- Yes
- Label type
- linguistic
- Language
- English
- Contains partial sentences or single words
- Yes
- Contain abbreviations
- No
Vertex description
Edge description
- Diagram is colored
- No
- Diagram is embellished
- No
- Tags
- Boolean closed ;
- non-contingent formulas
Style
Additional notes
- On the one hand we have CD(A,O) and CD(E,I).
On the other hand we have SA(A,I) and SA(E,O).
But in this strange diagram, we have A=E and I=O, and hence also SA(A,O) and SA(E,I).