“It was shown that both (0,1) and the powerset of (N) are larger than N. In fact, a correspondence exists (which I will not describe) between these two sets showing that they have the same cardinality. Since the cardinality of the powerset of a set of size n is 2^n, and the cardinality of N is Aleph 0, cardinality of the powerset of (N) is 2^Aleph 0. Because this is also the cardinality of the continuous interval (0,1), it is also called the "cardinality of the continuum.”