You're using an ancient browser to surf the modern web. Please update to the latest version (and don't use Internet Explorer!).

Leonardi.DB
a logical geometry project

The Limits of the Square: Hegel's Opposition to Diagrams in Its Historical Context (2022), p. 127
by Pluder, Valentin

Caption

Square for hypothetical judgements from Prantl’s History of Logic, 1870 ([24], p.258). (Figure gratefully taken from the scans provided by the Münchner DigitalisierungsZentrum (www.digitale-sammlungen.de))

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
Number of labels per vertex (at most)
1
Errors in the diagram
No

Geometry

Shape
Rectangle (irregular)
Colinearity range
0–3
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
linguistic
Language
Latin
Contains partial sentences or single words
Yes
Contains abbreviations
Yes

Edge description

Contains definitions of relations
No
Form
solid lines
,
none
Has arrowheads
No
Overlap
No
Curved
Yes
Hooked
No
As wide as vertices
No
Contains text
Yes
Label type
linguistic
Language
Latin
Contains partial sentences or single words
Yes
Contain abbreviations
No

Style

Diagram is colored
No
Diagram is embellished
No
↑ Back to top ↑