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Jun 19 at 18:19 comment added Ahmed Yes, when we know who tells the truth, we ask him which is the right door.
Jun 18 at 17:07 comment added hexomino That gives you which guard is telling the truth. But I guess you have to ask a second question to find the pot of gold, right?
Jun 18 at 16:53 comment added Ahmed @josh "Yes, I think the question is clearer this way"
Jun 18 at 16:01 vote accept Josh
Jun 18 at 17:58
Jun 18 at 16:01 comment added Josh @GentlePurpleRain "among your companions". A clearer way of wording that question could be: "If either of the other two guards is telling the truth, point to him (otherwise don't point to anything)". If the guard you asked is truthful, he won't point to anything (other 2 are liars). If the guard you asked is lying, he'll point to the other liar (1 is truthful and the other is the other liar).
Jun 18 at 15:33 comment added GentlePurpleRain You might be able to say something like, "If any guard other than yourself is a truth teller, which guard is it?", but I still think that if it's valid for the truthteller to give a non-answer, it should be valid for the liars as well. They should be able to imitate any answer that the truthteller gives.
Jun 18 at 15:30 comment added GentlePurpleRain Why couldn't they all just point to themselves? Also, this isn't actually a question; it's a directive. That makes it impossible for them to lie or tell the truth, because they aren't answering anything; they're simply being given a directive. There is nothing to indicate whether knights/knaves follow directives or not.
S Jun 18 at 13:45 review First answers
Jun 18 at 14:04
S Jun 18 at 13:45 history answered Ahmed CC BY-SA 4.0