as many as infinitely countable numbers cannot completely fill any finite line segment。 比如,
集合{0/n, 1/n, 2/n, 3/n, ...... (n-1)/n, n/n}中有n+1个点,当n趋于无穷时,该集合,它的cardinality是无穷大,能充满线段【0,1】吗?无理数跑哪里去了?
as many as infinitely countable numbers cannot completely fill any finite line segment。 比如,
集合{0/n, 1/n, 2/n, 3/n, ...... (n-1)/n, n/n}中有n+1个点,当n趋于无穷时,该集合,它的cardinality是无穷大,能充满线段【0,1】吗?无理数跑哪里去了?
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那是老键扭曲'栽赃', 我已经反复说了对"没有部分"的几种可能解读。
-stonebench-
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12/25/2023 postreply
06:48:47
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相容的。是可以、不是必定非零。0-1间的有理数长度(测度)为0,故有“空隙“,需要0-1间的无理数(长度为1)来“填满”
-清溢-
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12/25/2023 postreply
07:49:55
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