Aristotle's Cubes and Consequential Implication (2008), p. 151
by Pizzi, Claudio

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Logic

Aristotelian family

Sigma-4 Graph

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

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

Symbolic field

logic

Contains partial formulas or symbols

No

Logical system

consequential implication

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

"The so-called logics of consequential implication have been introduced in a sequence of papers (beginnning from Pizzi [1991]) whose aim was to reconstruct into the framework of standard modal logic some basic principles of so-called connexive logics." (p. 143)