Original: In other words, the power set of S is always strictly "bigger" than S. As an example, the power set P({1, 2, 3}) of {1, 2, 3} is equal to the set {{1, 2, 3}, {1, 2}, {1, 3}, {2, 3}, {1}, {2}, {3}, &empty;}.
Simplified: That is to say,  = {1, 2, 3, ...}, or sometimes  = {0, 1, 2, 3, ...}.