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Leonardi.DB
a logical geometry project

Possibility and Necessity in the Philosophy of Peter Abelard (2017), p. 90
by Binini, Irene

Caption

Boethius’s and Abelard’s formulations of the traditional square of opposition.

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
Number of labels per vertex (at most)
3
Equivalence between (some) labels of the same vertex
No
Analogy between (some) labels of the same vertex
No
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 ...)
Yes
Form
none
Label type
linguistic
,
symbolic
Language
Latin
,
English
Lexical field
categorical
Contains partial sentences or single words
No
Contains abbreviations
No
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics

Edge description

Contains definitions of relations
No
Form
dotted lines
Has arrowheads
Yes
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
Tags
existential import
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