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Leonardi.DB
a logical geometry project

Ploucquet's ''Refutation'' of the Traditional Square of Opposition (2008), p. 50
by Lenzen, Wolfgang

Copyright according to our policy

Caption

Formalization of categorical forms in Ploucquet’s works after 1763.

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
logic
Contains partial formulas or symbols
No
Logical system
syllogistics

Edge description

Style

Diagram is colored
No
Diagram is embellished
No
Tags
quantification of the predicate

Additional notes

Capital and small letters stand for universal and existential quantification, respectively. (Cf. p. 50.) Furthermore, - and > stand for 'est' and 'non est', respectively. (Cf. p. 48.)
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