Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logicDate : 16. Nov 2024, 20:42:22
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vhasiv$59e5$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
User-Agent : Mozilla Thunderbird
On 16.11.2024 10:21, Mikko wrote:
On 2024-11-15 12:00:43 +0000, WM said:
On 15.11.2024 11:43, Mikko wrote:
On 2024-11-14 10:34:52 +0000, WM said:
>
No. Covering by intervals is completely independent of their individuality and therefore of their order.
>
Translated intervals are not the same as the original ones. Not only their
order but also their positions can be different as demonstrated by your
example and mine, too.
>
If they do not cover the whole figure in their initial order, then they cannot do so in any other order.
So you want to retract your claims that involve another order?
My claim is the obvious truth that the intervals [n - 1/10, n + 1/10] in every order do not cover the positive real line, let alone infinitely often.
Regards, WM
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