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Leonardi.DB
a logical geometry project

Metanormative Principles and Norm Governed Social Interaction (2014), p. 107
by Žarnić, Berislav; Bašić, Gabriela

Caption

The hexagon of logical relations holding in standard KD deontic logic. The dotted line represents the contrariety relation, the dashed line represents contradiction, the full line represents subcontrariety, and the arrows represent subalternation (implication). Deontic concepts are expressed in natural language in the left hexagon while the right hexagon presents the corresponding formulas.

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 (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
rounded rectangular shapes
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
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