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Leonardi.DB
a logical geometry project

A Generalization of Hume's Thesis (2006), p. 112
by Woleński, Jan

Caption

(D1)

Logic

Aristotelian family
Sigma-4 Graph
Boolean complexity
4–16
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Square (regular)
Colinearity range
0–1
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
logic
Contains partial formulas or symbols
Yes
Logical system
deontic logic

Edge description

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

"The interpretation: $\alpha$ - OA, $\beta$ - FA, $\gamma$ - PA, $\delta$ - P$\neg$A." (p. 111).

"The point $\kappa$ is for A, the point $\lambda$ is for $\neg$A, the point $\nu$ for $\alpha \vee \beta$ (that is OA $\vee$ FA; normative determination, symbolically DA) and $\mu$ for $\gamma \wedge \delta$ (that is, PA $\wedge$ P$\neg$A; normative indifference; symbolically IA)." (p. 112).
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