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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: Sat, 28 Dec 2024 15:44:30 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sat, 28 Dec 2024 14:48:50 +0100 schrieb WM:
> On 28.12.2024 06:23, Moebius wrote:
>>>> On 12/17/24 4:51 PM, WM wrote:
>> 
>>>>> all FISONs contain/are all n.
>> Hint: For each and every n e IN there is a FISON such that n is in it.
> No. If so, then the union of all FISONs would contain all n.
That is the case.

> But fact is
> that the union of all FISONs is a FISON (all FISONs have infinitely many
> successors) and leaves almost all numbers outside ∀n ∈ ℕ_def: |ℕ \ {1,
> 2, 3, ..., n}| = ℵo.
No. There are infinitely many, so the union must be infinite too.

-- 
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.