# On the relation between possibilistic logic and modal logics of belief and knowledge (2017), p. 217

by Banerjee, Mohua; Dubois, Didier; Godo, Lluis; Prade, Henri

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### Caption

- Square of opposition induced by a relation $R$ and a subset $S$.

- Aristotelian family
- Classical Sigma-2
- 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
- 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
- mathematics ,
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- syllogistics
- Mathematical branch
- formal concept analysis

### Vertex description

### Edge description

- Diagram is colored
- No
- Diagram is embellished
- No