>>483 つづき

2)
http://math.stackexchange.com/questions/371184/predicting-real-numbers
Predicting Real Numbers edited May 15 '13 Jared Mathematics Stack Exchange
(抜粋)
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.

3)
100 rooms each contain countably many boxes labeled with the natural numbers. Inside of each box is a real number. For any natural number n, all 100 boxes labeled n (one in each room) contain the same real number.
In other words, the 100 rooms are identical with respect to the boxes and real numbers.
(引用終り)

つづく