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個點,當n趨於無窮時,該集合,它的cardinality是無窮大,能充滿線段【0,1】嗎?無理數跑哪裏去了?
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個點,當n趨於無窮時,該集合,它的cardinality是無窮大,能充滿線段【0,1】嗎?無理數跑哪裏去了?
• 那是老鍵扭曲'栽贓', 我已經反複說了對"沒有部分"的幾種可能解讀。 -stonebench- ♂ (0 bytes) () 12/25/2023 postreply 06:48:47
• 相容的。是可以、不是必定非零。0-1間的有理數長度(測度)為0,故有“空隙“,需要0-1間的無理數(長度為1)來“填滿” -清溢- ♂ (0 bytes) () 12/25/2023 postreply 07:49:55
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