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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: Sun, 12 Jan 2025 14:07:12 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sun, 12 Jan 2025 12:48:50 +0100 schrieb WM:
> On 11.01.2025 15:09, FromTheRafters wrote:
>> joes laid this down on his screen :
>>> Am Sat, 11 Jan 2025 11:04:56 +0100 schrieb WM:
> 
>>>> If Cantor has constructed a sequence containing all even numbers of
>>>> the original set ℕ, then the doubled even numbers are missing.
>>> What? Doubled even numbers are also even numbers.
>> He's a hopeless case.
> Yes, you cannot hope ever to understand the difference between potential
> and actual infinity.
Must be unexplainable...

> In actual infinity all numbers are present. No one is missing, according
> to Cantor. None can be added.
Why should you.
> If you multiply every number by 2, then larger even numbers than all
> hitherto present even numbers are created because the number of numbers
> remains constant but the odd numbers disappear.
No, not if you really multiply *every* number and not only finitely many.
The *cardinality* is the same. 

-- 
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.