We will define a paradox as a statement that contradicts itself, or a statement that can be proved to be both true and false at the same time A paradox. A small town has only one barber, who is male. Furthermore, this barber shaves those men, and only those men, who do not shave themselves. Who shaves the barber? One of two things can happen—either the barber shaves himself or he does not. First assume that the barber shaves himself. What must you conclude? Now assume that the barber does not shave himself. What must you conclude?
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