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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Tue, 17 Dec 2024 10:05:52 +0100
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On 16.12.2024 18:25, joes wrote:
> Am Mon, 16 Dec 2024 17:49:20 +0100 schrieb WM:
>> On 16.12.2024 16:40, joes wrote:
>>> Am Mon, 16 Dec 2024 14:59:27 +0100 schrieb WM:
>>>> On 16.12.2024 12:55, joes wrote:
>>>>> Am Mon, 16 Dec 2024 09:30:18 +0100 schrieb WM:
>>>>
>>>>>> All intervals do it because there is no n outside of all intervals
>>>>>> [1, n]. My proof applies all intervals.
>>>>> It does not. It applies to every single finite „interval”,
>>>> What element is not covered by all intervals that I use?
>>>>> but not to the whole N.
>>> You do not cover N, only finite parts.
>> What do I miss to cover?
> Inf.many numbers for every n.

But Cantor using every n does not miss to cover anything?

 > N is infinite.

Every element is the last element of a FISON [1, n]. ℕ is the set of all 
FISONs. I use all FISONs. ∀n ∈ ℕ: f([1, n]) =< 1/10.
Ever heard of the effect of the universal quantifier?

Regards, WM

Regards, WM