Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 18. Dec 2024, 20:06:19
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vjv6fb$2dujf$2@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 18.12.2024 13:29, Richard Damon wrote:
On 12/17/24 4:57 PM, WM wrote:
>
You claimed that he uses more than I do, namely all natural numbers.
Right, you never use ALL the natural numbers, only a finite subset of them.
Please give the quote from which you obtain a difference between
"The infinite sequence thus defined has the peculiar property to contain the positive rational numbers completely, and each of them only once at a determined place." [G. Cantor, letter to R. Lipschitz (19 Nov 1883)]
and my "the infinite sequence f(n) = [1, n] contains all natural numbers n completely, and each of them only once at a determined place."
Regards, WM