現代数学の系譜工学物理雑談古典ガロア理論も読む56

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292: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [] 2018/12/23(日) 10:23:37.78 ID:aqLWE3+/

>>291
つづき

４）まとめ
まあ、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.”）

つづく

http://rio2016.5ch.net/test/read.cgi/math/1544924705/292

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