# Die gute Samariterin. Zur Struktur der Supererogation (2002), p. 194

by Wessels, Ulla

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### Caption

- Das zu einem an McNamara orientierten System mit acht deontischen Begriffen gehĂ¶rige Sechzehneck
### Legend

- Aristotelian family
- Sigma-8 Graph
- Number of labels per vertex (at most)
- 1
- Uniqueness of the vertices up to logical equivalence
- Yes
- Errors in the diagram
- No
- Shape
- Hexadecagon (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
- linguistic
- Language
- German
- Lexical field
- deontic operators
- Contains partial sentences or single words
- Yes
- Contains abbreviations
- No
- Contains definitions of relations
- No
- Form
- dotted lines ,
- solid lines ,
- none ,
- 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

### Style

### Additional notes

- The partition induced by this sigma-8 diagram consists of 26 concepts. Calculation to be checked.

Sketch:

1) the sigma-5 subdiagram (cf. here) induces a 5-partition

2) there are 6 new formulas: maximal geboten, minimal geboten, erlaubt, and their negations

3) these 6 new formulas induce an 8-partition

4) crosscutting the 5-partition with the 8-partition yields 40 possible concepts

5) the contrarieties of 'minimal geboten' with 'supererogatorisch' and 'deontisch indifferent' and of 'maximal geboten' with 'anstĂ¶ssig' and 'deontisch indifferent' entail that 14 of these possible concepts are inconsistent

6) so 40 - 14 = 26 concepts remain