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Leonardi.DB
a logical geometry project

Les modalités en français. La validation des représentations (2010), p. 172
by Gosselin, Laurent

Caption

Relations de contrariété (symétrie par rapport à h$^0$) et de contradiction (complémentarité)

Legend

Logic

Aristotelian family
Classical Sigma-2
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
Rectangle (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
Yes
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
symbolic
Symbolic field
mathematics
Contains partial formulas or symbols
No
Mathematical branch
set theory

Edge description

Contains definitions of relations
No
Form
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

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

All intervals are defined on the real number line, with $h^\textit{min} < h^- < h^0 < h^+ < h^\textit{max}$ (cf. p. 170).

In the lower right vertex, the comma in between the two intervals should be interpreted as set-theoretical union ($\cup$).

The lower horizontal edge is visualized in the same way as the upper horizontal edge, i.e. as a contrariety. (Also cf. caption and legend.) However, the lower horizontal edge is actually a subcontrariety.
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