Can You Trust the Directions Given by These Islanders?

  • Thread starter 1MileCrash
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In summary, the second inhabitant is the only one who can be trusted to give honest directions. This is because their statement does not contradict any of the other inhabitants and does not create a paradox.
  • #1
1MileCrash
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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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  • #2
I think the second as well...
 
  • #3
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.
 

Related to Can You Trust the Directions Given by These Islanders?

1. What makes someone trustworthy?

Trustworthiness is a combination of several traits, including honesty, reliability, and consistency. People who are trustworthy are truthful, keep their promises, and are consistent in their behavior and actions.

2. Can trustworthiness be measured?

Trustworthiness is a subjective trait, so it cannot be easily measured. However, there are some methods, such as surveys and experiments, that can give an indication of someone's level of trustworthiness.

3. How can someone build trustworthiness?

Building trustworthiness takes time and effort. Some ways to build trustworthiness include being honest and transparent, keeping promises, and being consistent in actions and behavior. It is also important to communicate openly and actively listen to others.

4. Are there any red flags that indicate someone is not trustworthy?

There are some warning signs that may indicate someone is not trustworthy. These include consistently breaking promises, lying or being deceptive, and not taking responsibility for their actions. It is important to be aware of these red flags when determining if someone is trustworthy.

5. Can someone lose trustworthiness?

Trustworthiness is not a fixed trait and can change over time. Someone can lose trustworthiness if they consistently break promises, lie, or engage in other actions that go against the traits of trustworthiness. However, it is possible for someone to regain trustworthiness through efforts such as apologizing and making amends.

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