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# Why empty set is a set?

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###### Wiki User

The concept of closure: If A and B are sets the intersection of sets is a set. Then if the intersection of two sets is a set and that set could be empty but still a set. The same for union, a set A union set Null is a set by closure,and is the set A.

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## Related Questions

An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.

Yes it is. Everything in the empty set (which is nothing of course) is also in the empty set. If it's not in the empty set, it's not in the empty set. The empty set has no propersubsets, though, or subsets that are different from it.

Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.

The empty set is the set that contains no elements. (It is the empty set, not an empty set, because there is only one of them. It is a unique mathematical object.)

The empty set is a set that has no elements.

The only subset of an empty set is the empty set itself.

empty set is a set because its name indicate as it is the set.

It isn't. The empty set is a subset - but not a proper subset - of the empty set.

The empty element is a subset of any set--the empty set is even a subset of itself. But it is not an element of every set; in particular, the empty set cannot be an element of itself because the empty set has no elements.

The complement of an empty set is universal set

An empty set is a set with no elements. It can be symbolized by {} or &oslash;. The solution set for an equation that has no solution is also called an empty set.

"?" is the sign of Empty SetThe empty set is the set containing no elements.In mathematical terms, and more specifically set theory, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) iszero.

An empty set in math is called a null set.

Because it is axiometic concept so that it is empty set

An empty set is this { } It's just a set with nothing in it.

No. An empty set is a subset of every set but it is not an element of every set.

Because its still a set, although its empty or nothing in that set {} {0} * * * * * The second example above is NOT of an empty set: it is the set that contains the number zero.

An empty set (null set) is considered finite.

A null or empty set is a set that does not contain any elements.

An empty set becomes an empty set by virtue of its definition which states that it is a set that contains no elements. In other words, it contains nothing, it is empty!

The empty set is both reflexive and irreflexive.

Because every member of the empty set (no such thing) is a member of any given set. Alternatively, there is no element in the empty set that is missing from the given set.

###### Math and ArithmeticAlgebraSchool Subjects

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