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Leonardi.DB
a logical geometry project

From Euler Diagrams to Aristotelian Diagrams (2022), p. 286
by Demey, Lorenz; Smessaert, Hans

Caption

(a) Euler diagram for the right-implication from $A$ to $B$. (b) The corresponding classical square of opposition. (c–h) Highlighting the six relations among $A$, $B$, $\overline{A}$ and $\overline{B}$ in the Euler diagram (note: all six of them are Aristotelian relations).

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
Number of labels per vertex (at most)
1
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Rectangle (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
mathematics
Contains partial formulas or symbols
No
Mathematical branch
set theory

Edge description

Contains definitions of relations
No
Form
dotted lines
,
solid lines
,
dashed lines
Has arrowheads
Yes
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
Tags
Leuven
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