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Three gods A, B , and C are called, in some order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter.

Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one god. The gods understand English, but will answer all questions in their own language in which the words for 'yes' and 'no' are 'da' and 'ja', in some order. You do not know which word means which."

People say this is the hardest logic problem ever. So let's try out on this.

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closed as not constructive by Grumpy Parsnip, rschwieb, Henning Makholm, TMM, Hagen von Eitzen Feb 21 '13 at 20:48

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Calling it the "hardest logic problem ever" seems a bit over-the-top. –  Thomas Andrews Feb 21 '13 at 19:31
@AsafKaragila: No, there are lots of puzzles where logic is not the natural branch of mathematics to attack them with. Logic is not only about rules of deduction: it also covers (meta?)reasoning about the semantics of things that are modeled using formulas, and this seems to be the most fruitful way to model and reason about the questions Wikipedia offers as solution. –  Henning Makholm Feb 21 '13 at 19:55
@Decave: Where did this comment come from? How do you conclude that I don't like math? because I don't view this sort of questions as math, or in particular as mathematical logic related questions?? I suppose that the fact that the first and last thing I think of during my day is mathematics is probably a healthy sign that I just loathe mathematics... oh, wait, no. The other thing. –  Asaf Karagila Feb 21 '13 at 19:56
@Decave You are really lecturing the wrong person about not liking math. I think Asaf has you beat there. Second, the problem was not listed as a puzzle, it was listed as logic. Asaf likes logic, he might not like puzzles. Tagging is important. finally, the person made no effort to give his thinking. The purpose of stackexchange is to post problems you need help on, not to post puzzles because other people might enjoy them. And one big purpose is to keep the question and answers for posterity. –  Thomas Andrews Feb 21 '13 at 19:57

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