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Leonardi.DB
a logical geometry project

Metalogical Decorations of Logical Diagrams (2016), p. 253
by Demey, Lorenz; Smessaert, Hans

Caption

a A strong JSB hexagon with elements of $\wp^\cup(\mathcal{OG})$, b its reformulation in terms of weak and strong contrariety, and c an analogous strong JSB hexagon for the unilateral and bilateral interpretations of the natural language quantifier some

Logic

Aristotelian family
Jacoby-Sesmat-Blanché Sigma-3
Boolean complexity
3
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Hexagon (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
linguistic
Language
English
Lexical field
syllogistics
,
quantifiers
Contains partial sentences or single words
Yes
Contains abbreviations
No

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Boolean closed
;
Leuven
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