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Three gods A, B, and C are called, in no particular order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random sp
by danbruc 2y ago
Three gods A, B, and C are called, in no particular 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.
Some clarifications. You can ask the same god repeatedly and you can make your questions and to whom you address them depend on previous answers. Think of Random as just flipping a fair coin to decide whether to tell the truth or lie. The puzzle is by George Boolos and titled The Hardest Logic Puzzle Ever for those looking for hints or whatever. Have fun.
- layer8 2y agoDo the gods know each other?
- danbruc 2y agoYes. As always in such puzzles, they know everything and have perfect reasoning, at least as far as logic permits.
- nemomarx 2y agoI wonder what the language adds? I suppose it's one more layer of convolution and cuts off the "what would the other gods answer" kinda things.
- danbruc 2y agoIf you ask whether the sky is blue, the answer yes tells you that you did not speak to False, the answers da or ja on the other hand tell you nothing because either could mean yes.