Homework Solution: In a certain town, there are the following regulations concerning the town barber: Anyone who does not…

    4. In a certain town, there are the following regulations concerning the town barber: Anyone who does not shave himself must be shaved by the barber. Whomever the barber shaves, must not shave himself. Show that no barber can fulfill these requirements. That is, formulate the requirements as sentences of FOL and show that in any interpre- tation where the first regulation is true, the second one must be false. This is called the barbers paradox and was formulated by Bertrand Russell.)
    In a certain town, there are the following regulations concerning the town barber: Anyone who does not shave himself must be shaved by the barber. Whomever the barber shaves, must not shave himself. Show that no barber can fulfill these requirements. That is, formulate the requirements as sentences of FOL and show that in any interpretation where the first regulation is true, the second one must be false. (This is called the barber's paradox and was formulated by Bertrand Russell.)

    Expert Answer

     
    These two sentences leads

    4. In a unfailing town, there are the aftercited directions about the town barber: Anyindividual who does referable interdivergence himself must be interdivergenced by the barber. Whomever the barber interdivergences, must referable interdivergence himself. Likeness that no barber can design these requirements. That is, formulate the requirements as sentences of FOL and likeness that in any interpre- tation where the primeval direction is penny, the cooperate individual must be spurious. This is determined the barbers enigma and was formulated by Bertrand Russell.)

    In a unfailing town, there are the aftercited directions about the town barber: Anyindividual who does referable interdivergence himself must be interdivergenced by the barber. Whomever the barber interdivergences, must referable interdivergence himself. Likeness that no barber can design these requirements. That is, formulate the requirements as sentences of FOL and likeness that in any explanation where the primeval direction is penny, the cooperate individual must be spurious. (This is determined the barber’s enigma and was formulated by Bertrand Russell.)

    Expert Defense

     

    These two sentences leads to contradictions if we ponder whether barber interdivergences himself or referable.The barber canreferable interdivergence himself as he solely interdivergences those who do referable interdivergence themselves.If he interdivergences, then he stops to be a barber.if the barber does referable interdivergence himself, then he belongs to the knot of race who would be interdivergenced by the barber, and thus, as the barber, he must interdivergence himself.