A nonempty set is a set containing one or more elements. Any set other than the empty set is therefore a nonempty set. Nonempty sets are sometimes also called nonvoid sets (Grätzer 1971, p. 6). A nonempty set containing a single element is called a singleton set.

# Nonempty Set

## See also

Empty Set, Set, Singleton Set## Explore with Wolfram|Alpha

## References

Grätzer, G.*Lattice Theory: First Concepts and Distributive Lattices.*San Francisco, CA: W. H. Freeman, 1971.

## Referenced on Wolfram|Alpha

Nonempty Set## Cite this as:

Weisstein, Eric W. "Nonempty Set." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/NonemptySet.html