Why the Hexagon of Opposition is Really a Triangle: Logical Structures as Geometric Shapes (2024), p. 122
by Milstein, Ori

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Caption

A triangular dipyramid associated with the modal logic KD. Also fit for representing KD45, in which case all modalities are included in the decorations. Notice the triangle of opposition at the center, extended by p and ¬p from both sides

Logic

Number of labels per vertex (at most)

1

Errors in the diagram

No

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

No

Form

spherical

Label type

symbolic

Symbolic field

logic

Contains partial formulas or symbols

No

Logical system

propositional logic

Edge description

Contains definitions of relations

No

Form

solid lines

Has arrowheads

No

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

No

Style

Diagram is colored

No

Diagram is embellished

No