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Leonardi.DB
a logical geometry project

Logik im Recht. Grundlagen und Anwendungsbeispiele (2010), p. 310
by Joerden, Jan C.

Caption

Sechseck der Verbote und ihrer Negationen, die sich auf die Transformationen des Wechsels beziehen

Legend

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
Yes

Geometry

Shape
Hexagon (regular)
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
symbolic
Symbolic field
logic
Contains partial formulas or symbols
No
Logical system
deontic logic

Edge description

Contains definitions of relations
No
Form
dotted lines
,
solid lines
,
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
Tags
Boolean closed

Additional notes

This diagram is currently inconsistent. The minimal way to repair it is as follows:

* given the subalternation from V(bT$\neg$b) to $\neg$V($\neg$bTb), it follows that there is a contrariety between V(bT$\neg$b) and V($\neg$bTb), so the upper horizontal line should be a dashed line to indicate this contrariety (rather than the current solid line)

* given the subalternation from V(bT$\neg$b) to $\neg$V($\neg$bTb), it follows that there is a subcontrariety between $\neg$V($\neg$bTb) and $\neg$V(bT$\neg$b), so the lower horizontal line should be a dotted line to indicate this subcontrariety (rather than the current solid line)

Under these modifications, the diagram is a Jacoby-Sesmat-Blanché sigma-3 of Boolean complexity 3, as indicated in the annotation.
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