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Q: Is empty set a set and how?

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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.

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.)

yes, it is.

an empty set does not have any element

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.

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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.

difinition of empty set

The empty set is a set that has no elements.

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

The complement of an empty set is universal set

yes, it is.

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an empty set does not have any element

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

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