How are empty sets and null sets different?

Question

How are empty sets and null sets different?

In: 2

Answer 1

In set theory, null set and empty set mean the same thing – the set that contains no elements. Note that there’s only one empty/null set, because when two sets have the same elements, they are considered the same set.

In [measure theory](https://en.wikipedia.org/wiki/Measure_(mathematics)) there another definition of a null set, which is a set whose measure is 0.