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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Tue, 12 Nov 2024 15:24:32 +0100
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On 12.11.2024 06:00, Jim Burns wrote:
> On 11/11/2024 3:33 PM, WM wrote:

>>> This is one 𝗰𝗹𝗮𝗶𝗺:
>>> ⎛ All fractions are in bijection with
>>> ⎝ all natural numbers.
>>
>> It is wrong.
> 
> It is one claim.

It is one wrong claim.
> Apparently, to you, it means that
>   sets change.

It means that intervals I(n) = [n - 1/10, n + 1/10] can be shifted on 
the real axis without getting larger and without getting more. The set 
of intervals cannot change. The set of naturals differs from the set of 
rationals. Therefore the rationals cannot be covered by the naturals.
> Our sets do not change.

So you deny the application of set theory to geometry including 
Banach-Tarski and therefore to algebra. What remains, what is it good for?

Regards, WM