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Leonardi.DB
a logical geometry project

Deriving the contrastiveness of contrastive -nun in Korean (2018), p. 474
by Kim, Jieun

Caption

The Square of Opposition II

Logic

Aristotelian family
Classical Sigma-2
Boolean complexity
3
Number of labels per vertex (at most)
6
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
Yes

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
Korean
,
English
Lexical field
syllogistics
Contains partial sentences or single words
Yes
Contains abbreviations
Yes
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics
,
predicate logic

Edge description

Style

Diagram is colored
No
Diagram is embellished
No

Additional notes

There seem to be errors in the predicate logic formulas. For example, the contradictory of the A-formula $\forall x(x \neq \alpha \wedge \beta(x))$ should be $\exists x(x = \alpha \vee \neg\beta(x))$.
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