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There is, because {0} has one element, 0. The set {0} therefore can have infinite sets, providing that, all sets are either null or has one element, 0.
there is no number that is equal to 0/0 the 0/0 is
The square root of 0 is 0, which is a real number.
the number 0 solves no problems
Yes. It is true. An atom with a different atomic number is an atom of a different element.