# Towards a Mental Probability Logic (2005), p. 94

by Pfeifer, Niki; Kleiter, Gernot D.

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### Caption

- Generalized squares of opposition (Adapted from Peterson, 1985: 351ff). The solid lines indicate contradictions, dashed contraries, dotted subcontraries, and arrows subalternations (i.e. immediate entailments), respectively. $\neg$ is the negation.

- Aristotelian family
- Non-Sigma
- Boolean complexity
- 9
- 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
- 0–5
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- N.A.

### Logic

### Geometry

- Conceptual info
- Yes
- Mnemonic support (AEIO, purpurea ...)
- Yes
- Form
- none
- Label type
- linguistic ,
- symbolic
- Language
- English
- Lexical field
- categorical ,
- proportional quantifiers
- Contains partial sentences or single words
- No
- Contains abbreviations
- Yes
- Symbolic field
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- syllogistics

### Vertex description

### Edge description

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

### Style

### Additional notes

- The negation closure of this diagram contains the negations of "Most $S$ are $P$" and "Most $S$ are $\neg P$". It is a sigma-8 ladder.