Prove that the set of real numbers is uncountable. Use a proof similar to the proof in Section XXXXXXXXXXthat the set of integer functions is uncountable. Prove, using a reduction argument such as...

Prove that the set of real numbers is uncountable. Use a proof similar to the proof in Section 17.3.1 that the set of integer functions is uncountable.

Prove, using a reduction argument such as given in Section 17.3.2, that the problem of determining if an arbitrary program will print any output is unsolvable.