The Square of Opposition and the Four Fundamental Choices (2008), p. 136
by Drago, Antonino

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Caption

AI = O Actual Infinity; AO: Apodictic Organization; DN = Double negation of non-classical logic; N = Negation of classical logic; PI = Potential Infinity; PO = Problem-based Organization.

Logic

Aristotelian family

Sigma-4 Graph

Boolean complexity

4–16

Number of labels per vertex (at most)

1

Errors in the diagram

Yes

Geometry

Shape

Cube (regular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

By some other geometric feature

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

No

Form

none

Label type

symbolic

Contains partial formulas or symbols

Yes

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

In the upper front right corner, 'OA' should be 'AO'.

In the lower front left corner, 'AP' should be 'AI'.

AO and PO occupy resp. the front and back faces of the cube.

AI and PI occupy resp. the left and right faces of the cube.

N and DN occupy resp. the top and bottom faces of the cube.