# From Analogical Proportion to Logical Proportions (2013), p. 478

by Prade, Henri; Richard, Gilles

Copyright according to our policy

### Caption

- Hexagon induced by a tri-partition ($J$, $K$, $L$)

- Aristotelian family
- Jacoby-Sesmat-BlanchÃ© Sigma-3
- 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
- Hexagon (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 ...)
- No
- Form
- none
- Label type
- symbolic
- Symbolic field
- mathematics
- Contains partial formulas or symbols
- No
- Mathematical branch
- set theory
- Contains definitions of relations
- No
- Form
- bold solid lines ,
- solid 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
- Yes
- Diagram is embellished
- No
- Tags
- Boolean closed