The Geometry of Logical Opposition (2009), p. 292
by Moretti, Alessio

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Caption

the correct analysis of the modal graph of "$\alpha$ $\beta$", leading to its characteristic set $E = \{1,2,3,4\}$

Logic

Aristotelian family

Degenerate Sigma-2 with Unconnectedness 4

Boolean complexity

4

Number of labels per vertex (at most)

1

Errors in the diagram

No

Geometry

Shape

Digon (regular)

Colinearity range

2

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

mathematics

Mathematical branch

set theory

Edge description

Contains definitions of relations

No

Form

none

Has arrowheads

No

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

No

Label type

none

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

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