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Leonardi.DB
a logical geometry project

Objecting to uncertain conditional sentences. A cross-linguistic study (2020), p. 138
by Politzer, Guy; Baratgin, Jean; Hattori, Ikuko; Hattori, Masasi

Logic

Aristotelian family
Non-Sigma
Boolean complexity
5
Number of labels per vertex (at most)
3
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

Geometry

Shape
Hexagon (regular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
N.A.

Vertex description

Conceptual info
Yes
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
linguistic
,
symbolic
,
generic placeholders
Language
English
Lexical field
modalities
Contains partial sentences or single words
Yes
Contains abbreviations
No
Symbolic field
mathematics
Contains partial formulas or symbols
No
Mathematical branch
order theory

Edge description

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

The negation closure of this diagram involves adding the negations of B and B'. This negation closure is a Lenzen sigma-4. (A more canonical visualization of both this diagram and its negation closure would involve rotating the diagram 90° counterclockwise, so that the subalternations are pointing downwards.)
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