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Predicting Real Numbers May 15 '13 at 22:28 Jared
Here is an astounding riddle that at first seems impossible to solve. I'm certain the axiom of choice is required in any solution, and I have an outline of one possible solution, but would like to see how others might think about it.
100 rooms each contain countably many boxes labeled with the natural numbers. Inside of each box is a real number. Fo