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

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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