From the Structures of Opposition Between Similarity and Dissimilarity Indicators to Logical Proportions. A General Representation Setting for Capturing Homogeneity and Heterogeneity (2017), p. 284
by Prade, Henri; Richard, Gilles
Copyright according to our policy
Caption
- Cube of opposition of comparison indicators
- Aristotelian family
- Keynes-Johnson Sigma-4
- Boolean complexity
- 7
- 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
- Cube (regular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By some other geometric feature
Logic
Geometry
- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- Yes
- Form
- none
- Label type
- symbolic
- Symbolic field
- mathematics ,
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- syllogistics
- Mathematical branch
- set theory
- Contains definitions of relations
- No
- Form
- dashed lines ,
- none ,
- dotted lines ,
- double dashed lines ,
- double solid lines ,
- 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
- Yes
- Diagram is embellished
- No