# Structures of Opposition and Comparisons: Boolean and Gradual Cases (2020), p. 137

by Dubois, Didier; Prade, Henri; Rico, Agnès

Copyright according to our policy

### Caption

- Blanché’s complete preorder hexagon

- Aristotelian family
- Jacoby-Sesmat-Blanché Sigma-3
- 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
- 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 ...)
- Yes
- Form
- none
- Label type
- symbolic
- Symbolic field
- mathematics ,
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- syllogistics
- Mathematical branch
- order theory

### Vertex description

### Edge description

- Diagram is colored
- No
- Diagram is embellished
- No
- Tags
- Boolean closed