12-11-2003, 05:33 PM
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#130
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FFR Player
Join Date: Jul 2003
Posts: 4,683
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This is completely off topic, but since I find them interesting and nobody read the thread that was intended for them, and there's no other intelligent place to put them, I figured people might want to take a break from the insanely complicated math and rock their noodles for awhile. Here's a paradox I know of.
A knight guards a path that goes over a hill and leads to a kingdom. This knight has the ability to distinguish who is telling a lie and who is being honest. If they lie, he kills them. If they are honest, he lets them pass. One day, a man walks up the hill and the knight says "Stop! Identify your reason for passing into this kingdom." The man says "I am here for you to kill me." What does the knight do? He can't kill him, because he was telling the truth. But if he lets him pass then the man will have been lying, so he should kill him, but he was telling the truth in the first place. See if you can figure it out.
Here's another one that isn't a paradox because it has an answer, but it took me a minute to figure out.
There is a fork in the road. One way leads to Truth Town, where everyone tells the truth, and one leads to Liar Town, where everybody lies. You come to the fork and stop to think. You want to get to Truth Town, but you don't know which way it is. You see a local and decide to ask for directions to truth town. But you can't tell which town they are from, and if they are from Liar Town, they will lie. What can you ask the local so that no matter what town he is from, he will always tell you where Truth Town is?
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