This is just humorous thought of mine…
If we have a “collection” where isn’t anything, is it a collection? If someone has got 100 books, the person has a collection of 100 books. But if a person hasn’t got books at all, does the person have a collection of books? No.
So, is the empty set as such a set? A collection where is nothing isn’t a collection.
But is it an empty collection? But is an empty collection a collection at all? 🙂