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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: Wed, 8 Jan 2025 22:50:58 +0100
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On 08.01.2025 18:32, FromTheRafters wrote:
> WM explained :
>> On 08.01.2025 12:04, FromTheRafters wrote:
>>> WM formulated on Wednesday :
>>
>>>> If ω exists, then ω-1 exists.
>>>
>>> Wrong.
>>
>> A set like ℕ has a fixed number of elements. If ω-1 does not exist, 
>> what is the fixed border of existence?
> 
> Who says that there has to be a  fixed border of existence?

According to set theory every set has a fixed set of elements, not more 
and not less.

> Omega is a 
> limit ordinal not a successor.

But the natural numbers are invariable. For every n, there is n+1 which 
is not created but simply exists.

Regards, WM