When I visited the Knights and Liars Archipelago, one island I visited was called Liontruth. The tourism had a great influence on the island, so much that the knaves on the island spoke differently from most knaves. They didn't have to follow an alternating pattern, but could tell truths (like knights always do) and lie (like liars always do) in whatever pattern they wanted. The three types of inhabitants are indistinguishable by eye.

If a tourist thinks the local knaves alternate truths and lies how can a knave convince the tourist that he is not a knave?

How can a knave from this island prove himself in one statement without revealing whether he is lying or not?

How can a knight prove himself in one statement?

How can a liar prove himself in one statement?

What single statement can be said by either a knight or liar but not a knave?

(In reply to re: I hope this is right, but..... by Penny)

"I am not a liar, and I have never been a liar, even though I am a liar, and have always been a liar."  

Can a liar say that? If I liar says that he is a liar, he is telling the truth, and he can't do that. I'm not so sure about that one. It would need to be something a knight can't say - so it has to be false - and it can't be something that a knave would say, so it has to be really contradicting. And confusing. And not make any sense.

The last one works, I think, regardless of whether the knave alternates or not.

Posted by Eric on 2004-12-08 15:18:35