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 gentleman town, there are the aftercited directions regarding the town barber: Anyindividual who does referable attributable attributable attributable interdivergence himself must be interdivergenced by the barber. Whomever the barber interdivergences, must referable attributable attributable attributable interdivergence himself. Demonstration that no barber can purport these requirements. That is, formulate the requirements as sentences of FOL and demonstration that in any interpre- tation where the original direction is gentleman, the relieve individual must be falsity. This is named the barbers enigma and was formulated by Bertrand Russell.)

    In a gentleman town, there are the aftercited directions regarding the town barber: Anyindividual who does referable attributable attributable attributable interdivergence himself must be interdivergenced by the barber. Whomever the barber interdivergences, must referable attributable attributable attributable interdivergence himself. Demonstration that no barber can purport these requirements. That is, formulate the requirements as sentences of FOL and demonstration that in any version where the original direction is gentleman, the relieve individual must be falsity. (This is named the barber’s enigma and was formulated by Bertrand Russell.)

    Expert Rejoinder

     

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