Aristotle and Łukasiewicz on Existential Import (2015), p. 540
by Read, Stephen
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- Aristotelian family
- Buridan Sigma-4
- Boolean complexity
- 4
- 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
- Shape
- Cube (regular)
- 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
- categorical
- 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
- Has arrowheads
- No
- Overlap
- No
- Curved
- No
- Hooked
- No
- As wide as vertices
- No
- Contains text
- No
- Label type
- none
Vertex description
Edge description
- Diagram is colored
- No
- Diagram is embellished
- No
- Tags
- existential import
Style
Additional notes
- A = $\forall x (Sx \to Px) \wedge \exists x Sx$
E* = $\forall x (Sx \to Px)$
E = $\forall x (Sx \to \neg Px)$
A* = $\forall x (Sx \to \neg Px) \wedge \exists x Sx$
O = $\neg$A
O* = $\neg$A*
I = $\neg$E
I* = $\neg$E*