144. The Third Island.

The native inhabitants A and B of this island stated:

A: At least one of us is a liar, and this island is called Maya.

B: Absolutely correct!

Can we assert that the third island is indeed called Maya?
144. Since B agrees with A, A and B are either both knights or both liars. If they were both knights, it would be false that at least one of them is a liar. But then the statement made by A would be false, which is impossible, since A is a knight. Therefore, A and B are both liars. This means that the statement made by A is false. But the first part of it must be true (if A and B are both liars, then at least one of them is a liar). Therefore, the second part of the statement must be false. Hence, the third island is not the island of Maya.