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What does non-empty mean?

Looking for the meaning or definition of the word non-empty? Here's what it means.

Adjective
  1. (set theory) Of a set, containing at least one element; not the empty set.
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Specifically, the number of ways a set with n objects can be partitioned into disjoint and non-empty subsets is described by the Bell numbers.
A split is a partition of the set of taxa into two disjoint, non-empty groups.
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.

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