The Geometry of Logical Opposition (2009), p. 249
by Moretti, Alessio

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Caption

"heart" and "cloud" of the $\beta$5-structure

Logic

Boolean complexity

6

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Decagon (regular)

Colinearity range

0

Coplanarity range

2

Cospatiality range

0

Representation of contradiction

By central symmetry

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

No

Form

dots

Label type

symbolic

Symbolic field

mathematics

Mathematical branch

set theory

Edge description

Contains definitions of relations

No

Form

solid lines

,

none

Has arrowheads

Yes

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

No

Label type

none

Style

Diagram is colored

Yes

Diagram is embellished

No

Tags

Boolean closed

Additional notes

This diagram is decorated with Pellissier's "setting" technique, which is equivalent to bitstring semantics. In particular, $\wp(\{1,2,3,4,5,6\})$ corresponds to bitstrings of length 6.