Oppositions and Opposites (2012), p. 161
by Schang, Fabien

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Caption

Pellissier’s tetraicosahedron of logical oppositions for binary sentences, and their corresponding logical values in QAS

Logic

Aristotelian family

Classical Sigma-7

Boolean complexity

4

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Tetraicosahedron (irregular)

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

symbolic

Symbolic field

bitstrings

Contains partial formulas or symbols

No

Contains protobitstrings

No

Bitstring length

4

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Boolean closed