The Barber Paradox: A classic puzzle that had the world's greatest philosophers stumped for centuries. What is it, you ask?
A barber in a town with no women, all of whom are men. A man comes in and asks the barber: "Will you cut all the men in town who are bald?" If the barber refuses to cut a man's hair, he is not cutting all the men in town who are bald, and thus is not a totalitarian. But if he agrees to cut all the men who are bald, then he is cutting his own hair, as he is also bald. Thus, he cannot cut all the men in town who are bald, and thus cannot be a totalitarian. Or can he?
The solution to this paradox lies in the fact that the barber is not a man. He is a barber, and thus, he cuts hair. The paradox is resolved by realizing that "barber" is a profession, not a gender. Thus, the barber can cut all the men in town, including himself, without breaking the paradox.