From Analogical Proportion to Logical Proportions (2013), p. 476
by Prade, Henri; Richard, Gilles
Copyright according to our policy
Caption
- Square of homogeneous logical proportions
- Aristotelian family
- Non-Sigma
- 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
- Rectangle (irregular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- N.A.
Logic
Geometry
- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- No
- Form
- none
- Label type
- symbolic ,
- generic placeholders
- Symbolic field
- logic
- Contains partial formulas or symbols
- No
- Logical system
- propositional logic
- Contains definitions of relations
- No
- Form
- dotted lines ,
- solid lines ,
- double solid lines
- Has arrowheads
- No
- 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
Style
Additional notes
- $S_{a,b}$ is defined as $a \wedge b$.
$S'_{a,b}$ is defined as $\overline{a} \wedge \overline{b}$.
$D_{a,b}$ is defined as $a \wedge \overline{b}$.
$D'_{a,b}$ is defined as $\overline{a} \wedge b$.
(Cf. p. 476.)