null set
A "null set" is a foundational concept in set theory and measure theory, denoted by the symbol ∅.
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Definition
C1Set Theory
(technical, academic)A set that contains no elements.
Example
- In set theory, the null set is denoted by ∅ and contains no elements.
- The null set is the only set that is a subset of every other set.
C2Measure Theory
(technical, academic)A set with zero measure, meaning it has no size or extent.
Example
- In measure theory, a null set has no measurable size.
- Events that have zero probability in probability theory are considered null sets.
Similar
Terms that have similar or relatively close meanings to "null set":