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The union of two sets is the set that contains everything that belongs to any of the sets, but nothing else. It is possible to define the union of several sets, and even of an infinite family of sets.
The intersection of two sets is the set that contains all elements of one of these sets that also belong to the other one, but no other elements. It is possible to define the intersection of several sets, and even of an infinite family of sets.
In mathematics, the symmetric difference of two sets is the set of elements which are in one of the sets, but not in both. This operation is the set-theoretic kin of the exclusive disjunction (XOR operation) in Boolean logic.
