Graded Decagon of Opposition with Fuzzy Quantifier-Based Concept-Forming Operators (2020), p. 132
by Boffa, Stefania; Murinová, Petra; Novák, Vilém
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Caption
- Aristotle's square. The lines $-\!\!\!-\!\!\!-\!\!\!-$, $=\!\!\!=\!\!\!=\!\!\!=\!\!\!=$, $-\!\!\!-\!\!\!\rightarrow$, $- - - $ denote that the corresponding propositions are contradictories, sub-contraries, sub-alterns, and contraries, respectively.
- Aristotelian family
- Classical Sigma-2
- Boolean complexity
- 3
- Number of labels per vertex (at most)
- 2
- Equivalence between (some) labels of the same vertex
- No
- Analogy between (some) labels of the same vertex
- No
- Uniqueness of the vertices up to logical equivalence
- Yes
- Errors in the diagram
- No
- Shape
- Square (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
- linguistic ,
- symbolic
- Language
- English
- Lexical field
- categorical
- Contains partial sentences or single words
- No
- Contains abbreviations
- Yes
- Symbolic field
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- syllogistics
- Form
- 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