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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Tue, 17 Dec 2024 17:07:40 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Tue, 17 Dec 2024 10:13:48 +0100 schrieb WM:
> On 17.12.2024 00:52, Richard Damon wrote:
>> On 12/16/24 3:30 AM, WM wrote:
>>> On 15.12.2024 21:21, joes wrote:
> 
>>>>> Therefore we use all [1, n].
>>>> Those are all finite.
>>> All n are finite.
>> But N isn't, so the sets [1, n] aren't what the bijection is defined
>> on.
> Every element is the last element of a FISON [1, n]. ℕ is the set of all
> FISONs.
No, it is the union.

> I use all FISONs.
No, you don’t. N is not a FISON.

>>> All intervals do it because there is no n outside of all intervals [1,
>>> n]. My proof applies all intervals.
>> And all the intervals are finite, and thus not the INFINITE set N,
>> which is where the bijection occurs.
> According to Cantor the "bijection" uses all n and nothing more.
What else do you think it uses?

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.