It is a set that is well defined.
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An empty set in math is called a null set.
No. The null set cannot have a proper subset. For any other set, the null set will be a proper subset. There will also be other proper subsets.
The null set is a set which has no members. It is an empty set.
It is the set of "everything".
An empty set is this { } It's just a set with nothing in it.