Show Q N 4SolutionAccording to Cantors Theorem for any set
Show |Q| = |N {4}|.
Solution
According to Cantor\'s Theorem, for any set A there is no surjective function AP(A). With A=N {4} this implies that P(N {4}) is not countable. So is uncountable. Similarly P(R) is uncountable, so there exists bijection between P(N {4}) and P(R)
