Nonempty Set (original) (raw)

TOPICS

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

• Foundations of Mathematics
• Set Theory
• Sets

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.

See also

Empty Set, Set,Singleton Set

Explore with Wolfram|Alpha

More things to try:

• -0.283882181415
• get a total greater than 45 with 5 12-sided dice
• images of the space-filling polyhedra

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." FromMathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NonemptySet.html

Subject classifications

• Foundations of Mathematics
• Set Theory
• Sets