In an island peopled by Knights (who always say the truth) and Liars (who obviously always lie), two persons spoke about each other.

A said: "B would say I lie."

B said: "That is true."

Can anything be deduced as to what kind is each of them?

If they were both knights then B would could not say that A would lie and A could not say that he would say it so they are not both knights

If A were a lier and B were a Knight then A's statement would be true so that arrangement is not possible either

If A were a KNight and Be were a liar than B saying A had told the truth would indicate that A had really lied so this is not possible

IF they BOTH were liars, however, A could Say that B would say he is a liar because he knows that be would not say that b/c it is true. But B could say that what a said was true because a is a liar too so what he said is false

Posted by FatBoy on 2003-10-02 13:24:50