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Leonardi.DB
a logical geometry project

Generalization and Composition of Modal Squares of Oppositions (2016), p. 317
by Pizzi, Claudio

Caption

An alethic-deontic cube of oppositions

Logic

Aristotelian family
Lenzen Sigma-4
Boolean complexity
5
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Cube (regular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By some other geometric feature

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
,
modal logic

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
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