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Leonardi.DB
a logical geometry project

Einführung in die Logik (2008), p. 215
by Löffler, Winfried

Copyright according to our policy

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
Number of labels per vertex (at most)
2
Equivalence between (some) labels of the same vertex
No
Analogy between (some) labels of the same vertex
Yes
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

$\Box p$
notwendig
  • Contradiction with $\neg\Box p$
  • Contrariety with $\neg\Diamond p$
  • Subalternation to $\Diamond p$
$\neg\Diamond p$
unmöglich
  • Contradiction with $\Diamond p$
  • Contrariety with $\Box p$
  • Subalternation to $\neg\Box p$
$\Diamond p$
möglich
  • Contradiction with $\neg\Diamond p$
  • Subcontrariety with $\neg\Box p$
  • Subalternation from $\Box p$
$\neg\Box p$
kontingent
  • Contradiction with $\Box p$
  • Subcontrariety with $\Diamond p$
  • Subalternation from $\neg\Diamond p$

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
No
Form
none
Label type
linguistic
,
symbolic
Language
German
Lexical field
modalities
Contains partial sentences or single words
Yes
Contains abbreviations
No
Symbolic field
logic
Contains partial formulas or symbols
No
Logical system
modal logic

Edge description

Contains definitions of relations
No
Form
solid lines
Has arrowheads
Yes
Overlap
No
Curved
No
Hooked
No
Label type
linguistic
Language
German
Contains partial sentences or single words
Yes
Contain abbreviations
No

Style

Diagram is colored
No
Diagram is embellished
No
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