A Triangle of Opposites for Types of Propositions in Aristotelian Logic (1950), p. 43
by Jacoby, Paul
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- Aristotelian family
- Jacoby-Sesmat-Blanché Sigma-3
- 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
- Yes
- Errors in the diagram
- No
- Shape
- Triangle (regular)
- Colinearity range
- 1
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By diametric opposition (but no central symmetry)
Logic
Geometry
- Conceptual info
- Yes
- 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
- Contains definitions of relations
- No
- Form
- solid lines ,
- dash-dotted lines ,
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- Has arrowheads
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- Overlap
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- Curved
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- Hooked
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- As wide as vertices
- No
- Contains text
- Yes
- Label type
- linguistic
- Language
- English
- Contains partial sentences or single words
- Yes
- Contain abbreviations
- No
Vertex description
Edge description
- Diagram is colored
- No
- Diagram is embellished
- No
- Tags
- Boolean closed