adjectiveMathematics & Logic
(Of a set or class) not empty; having at least one element or member.
- In addition to this expressive limitation, Euler's system also suffers other kinds of expressive limitations with respect to non-empty sets, due to topological restrictions on plane figures.
- We can understand nothing by making it a thing, the empty set for example, but without some thing to contrast it with, non-empty sets, the thing no longer makes sense.
- In fact, this simply points up something about Aristotle's system: Aristotle in effect supposes that all terms in syllogisms are non-empty.
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