Can You Trust the Directions Given by These Islanders?

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The discussion revolves around a logic puzzle involving three inhabitants of an island, where one group always tells the truth and the other always lies. The first inhabitant claims that all three are liars, which creates a paradox if taken as true, indicating he must be lying. The second inhabitant states that only two of them are liars, which does not contradict any established facts and could be true. The third inhabitant asserts that the other two are lying, but this contradicts the second's statement, leading to the conclusion that the third must also be lying. Therefore, the second inhabitant is the only one who can be trusted to provide honest directions.
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On a certain island, the inhabitants are divided into two types, those who always tell the truth and those who always lie. One day a vistor to the island stops three inhabitants of the island to ask for directions to a well known museum. "All three of us are liars," warns the first inhabitant, "not so, only two of us are liars," says the second. "Not so," says the third, "The other two guys are lying."

Which, if any, of the three islanders can the visitor truth to give honest directions?

The second, right?
 
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I think the second as well...
 
My reasoning:

The first: The assumption that he is telling the truth leads to a sort of paradox, since he claims that he himself is a liar. However he is still lying if less than 3 are liars. He must be lying.

The second: "only two of us are liars." In no direct contradiction to anything.

The third: "Not so, the other two guys are lying." He must be lying because he is claiming that the second is lying, while at the same time agreeing with him about the number of liars. His statement must be a false one.
 
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