why we call empty set a set if there is not element in set
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The empty set is a unique set which have no element in it. Its size is zero i.e., the number of elements is 0.At some places, it is also called null set, but now null set is the concept of measure theory. So it is also called void set.
Well, the concept of Empty set is little weird. As we all know that, a set is a well-defined collection of distant objects, so how can it be possible a set having no element.
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Properties. In standard axiomatic set theory, by the principle of extensionality, two sets are equal if they have the same elements. As a result, there can be only one set with no elements, hence the usage of "the empty set" rather than "an empty set".
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