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Imagine an island where 100 people, all perfect logicians, are imprisoned by a mad dictator. Theres no escape, except for one strange rule. Any prisoner can approach the guards at night and ask to leave. If they have green eyes, theyll be released. If not, theyll be tossed into the volcano. As it happens, all 100 prisoners have green eyes, but theyve lived there since birth, and the dictator has ensured they cant learn their own eye color. There are no reflective surfaces, all water is in opaque containers, and most importantly, theyre not allowed to communicate among themselves. Though they do see each other during each mornings head count. Nevertheless, they all know no one would ever risk trying to leave without absolute certainty of success. After much pressure from human rights groups, the dictator reluctantly agrees to let you visit the island and speak to the prisoners under the following conditions: you may only make one statement, and you cannot tell them any new
