Opposition (1984), p. 84
by Englebretsen, George
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- 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
- No
- Uniqueness of the vertices up to logical equivalence
- No
- Errors in the diagram
- No
- Shape
- Three Dimensional Shape (irregular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By central symmetry
Logic
Geometry
- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- Yes
- Form
- none
- Label type
- linguistic ,
- symbolic
- Language
- English
- Lexical field
- syllogistics
- Contains partial sentences or single words
- No
- Contains abbreviations
- Yes
- Symbolic field
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- syllogistics
Vertex description
Edge description
- Diagram is colored
- No
- Diagram is embellished
- No
Style
Additional notes
- "Here AEIO is a primitive square and aeIO is a diagonal square. When I and O
are nonvacuous, both squares apply and, indeed, are identical. For nonvacuous
sentences A=a and E=e [...] For vacuous sentences only the primitive,
AEIO, square holds." (p. 83)
Given that there are subalternations from I to C and from O to C, and that I and O are subcontraries, it follows that C logically behaves like a tautology.
I entails C
O entails C
I v O is a tautology
hence C is a tautology