で (>>288より) https://math.stackexchange.com/questions/371184/predicting-real-numbers Predicting Real Numbers May 15 '13 at 22:28 Jared
(>>292より） 英語圏では、これは ・”Probability is not defined here”（確率は定義されない） ・”But it is a good example illustrating the difference between arbitrarily large and infinite. ” ”As for the mathematicians, the unfortunate part is that no matter how large they make N, the probability is still 0 that their sequence matches its representative sequence at the N-th place.” （「arbitrarily large」が可能無限、「infinite」が実無限な ） ・”In this context, does it make sense to say "guess the content of a box with arbitrarily high probability"? I think it is ok, because the only probability measure we need is uniform probability on {0,1,…,N?1}, but other people argue it's not ok, because we would need to define a measure on sequences, and moreover axiom of choice messes everything up.” （英語圏でも、落ちこぼれは”I think it is ok”だけど・・、分っている人は”it's not ok, because we would need to define a measure on sequences, and moreover axiom of choice messes everything up.”） (引用終り)
