Question

On a certain island, each inhabitant is either a truth-teller or a liar (and not both, of course). A truth-teller always tells the truth and a liar always lies. Arnie and Barnie live on the island.

Suppose Arnie says "If I am a truth-teller, then each person living on this island is either a truth-teller or a liar." Which one is Arnie?

Answer 1

Truth teller

Explanation:

Arnie is most likely to be a liar in this case.

The response should satisfy the conditions in the statement.

The question is based on the logic. The guiding word is the conditional "if."

Logically, people at the island are either truth tellers or liars; it follows that Arnie is a truth teller and is an inhabitant of the island.

It is notable that each of them has some probability of being a truth-teller or a liar at some point.

Answer 2

Truth teller

Explanation:

Arnie is most likely to be a liar in this case.

The response should satisfy the conditions in the statement.

The question is based on the logic. The guiding word is the conditional "if."

Logically, people at the island are either truth tellers or liars; it follows that Arnie is a truth teller and is an inhabitant of the island.

It is notable that each of them has some probability of being a truth-teller or a liar at some point.