# Data Technology in Materials Modelling (2021), p. 77

by Horsch, Martin Thomas; Chiacchiera, Silvia; Cavalcanti, Welchy Leite; Schembera, Björn

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### Caption

- Selected traditional (top) and generalized (bottom) modal squares of opposition from VIPRS. Here, occ[$I$] stands for "$I$ occurs", and $K_I C I$ stands for "$K_I$ conceptualizes $I$", arrows denote subsumption and solid lines denote complementarity (top) and logical negation with respect to the modal formula (bottom)

- 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
- Hexagon (irregular)
- Colinearity range
- 0
- Coplanarity range
- 2
- Cospatiality range
- 0
- Representation of contradiction
- N.A.

### Logic

### Geometry

- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- No
- Form
- ellipse
- Label type
- linguistic ,
- symbolic
- Language
- English
- Lexical field
- modalities
- Contains partial sentences or single words
- Yes
- Contains abbreviations
- No
- Symbolic field
- logic
- Contains partial formulas or symbols
- No
- Logical system
- modal logic
- Contains definitions of relations
- No
- Form
- solid lines ,
- none ,
- dashed lines
- Has arrowheads
- Yes
- Overlap
- No
- Curved
- No
- Hooked
- Yes
- As wide as vertices
- No
- Contains text
- No
- Label type
- none

### Vertex description

### Edge description

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