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Leonardi.DB
a logical geometry project

Oppositions and Opposites (2012), p. 166
by Schang, Fabien

Caption

Three sorts of logical negation within three hexagons of opposition for alethic modalities: classical negation (I), paracomplete negation (II), and paraconsistent negation (III)

Logic

Aristotelian family
Jacoby-Sesmat-Blanché Sigma-3
Boolean complexity
3
Number of labels per vertex (at most)
1
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
none
Label type
symbolic
Symbolic field
logic
Contains partial formulas or symbols
No
Logical system
modal logic

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Boolean closed
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