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From Analogical Proportion to Logical Proportions (2013), p. 477
by Prade, Henri; Richard, Gilles
![]( /diagrams/prade-et-al-_2013_from-analogical-proportion-to_1e46fue60_p-477_1fapqodgj/images/display.jpeg?url=http%3A%2F%2Fpurl.org%2Flg%2Fdiagrams%2Fprade-et-al-_2013_from-analogical-proportion-to_1e46fue60_p-477_1fapqodgj%2Fimages%2Fdisplay.jpeg )
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Caption
- Square of opposition
- Aristotelian family
- Classical Sigma-2
- Boolean complexity
- 3
- Number of labels per vertex (at most)
- 2
- 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
- Rectangle (irregular)
- 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
- bold solid lines ,
- solid lines ,
- dashed lines
- Has arrowheads
- Yes
- 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