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Leonardi.DB
a logical geometry project

Kant's Antinomies of Pure Reason and the 'Hexagon of Predicate Negation' (2020), p. 61
by McLaughlin, Peter; Schlaudt, Oliver

Caption

The logical hexagon of inner and outer negation

Logic

Aristotelian family
Jacoby-Sesmat-Blanché Sigma-3
Boolean complexity
3
Number of labels per vertex (at most)
2
Equivalence between (some) labels of the same vertex
Yes
Analogy between (some) labels of the same vertex
No
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
none
Label type
linguistic
,
symbolic
Language
English
Lexical field
adjectives
Contains partial sentences or single words
No
Contains abbreviations
Yes
Symbolic field
mathematics
Contains partial formulas or symbols
No

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
Tags
Boolean closed
;
duality
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