# Logic-Sensitivity of Aristotelian Diagrams in Non-Normal Modal Logics (2021), p. 17

by Demey, Lorenz

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### Caption

- Invalid (!) diagrams that approximate the PCDs for $(\mathcal{F}_{2a}, \mathsf{KD})$ and $(\mathcal{F}_{2a}, \mathsf{KD})$. (b) Invalid diagram for $(\mathcal{F}_{2a}, \mathsf{KD})$.

- Aristotelian family
- A Single PCD
- Boolean complexity
- 2
- 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 ...)
- No
- Form
- none
- Label type
- symbolic
- Symbolic field
- bitstrings ,
- logic
- Contains partial formulas or symbols
- No
- Contains protobitstrings
- No
- Bitstring length
- 2
- Logical system
- modal logic
- Contains definitions of relations
- No
- Form
- dotted lines ,
- solid lines ,
- dashed 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
- No
- Diagram is embellished
- No
- Tags
- Boolean closed ;
- non-contingent formulas ;
- Leuven