Omega, a superintelligent being, has placed $1,000 in a clear glass box in a room which you cannot see into but are about to enter. He has also placed $1,000,000 in a second clear glass box next to it if and only if he predicts that you will take only the second box.
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Instead of the above case, you are already inside the room. You see both boxes, full. 1) He now offers you $1 to take the pill. Do you do so? 2a) If you take the pill, would you have paid $1 to do so? 2b) If you do not take the pill, do you take both boxes, or only the second?
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