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Leonardi.DB
a logical geometry project

Periermenias Aristotelis a Boetio translatas (830–870), fol. 36
by Boethius, Anicius Manlius Severinus

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

Graph structure

Omnis homo iustus est
  • Implicit contradiction with Quidam homo iustus non est
  • Contrariety with Nullus homo iustus est
  • Subalternation to Quidam homo iustus est
Quidam homo iustus non est
  • Implicit contradiction with Omnis homo iustus est
  • Subcontrariety with Quidam homo iustus est
  • Subalternation from Nullus homo iustus est
Nullus homo iustus est
  • Implicit contradiction with Quidam homo iustus est
  • Contrariety with Omnis homo iustus est
  • Subalternation to Quidam homo iustus non est
Quidam homo iustus est
  • Implicit contradiction with Nullus homo iustus est
  • Subcontrariety with Quidam homo iustus non est
  • Subalternation from Omnis homo iustus est

Vertex description

Conceptual info
Yes
Mnemonic support (AEIO, purpurea ...)
No
Form
rectangular
Label type
linguistic
Language
Latin
Lexical field
syllogistics
Contains partial sentences or single words
No
Contains abbreviations
Yes

Edge description

Contains definitions of relations
No
Form
bands
Has arrowheads
No
Overlap
No
Curved
No
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
Yes
Diagram is embellished
No

Additional notes

The coloring was added in the 11th century.

An interesting YouTube video on the manuscript that contains this diagram (UPenn LJS 101) can be found at https://www.youtube.com/watch?v=VNezNjlBjto.
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