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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: Fri, 10 Jan 2025 20:06:17 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Fri, 10 Jan 2025 20:17:37 +0100 schrieb WM:
> On 10.01.2025 19:28, joes wrote:
>> Am Fri, 10 Jan 2025 18:21:43 +0100 schrieb WM:
> 
>>> I have no expectations about cardinality. I know that for every finite
>>> initial segment the even numbers are about half of the natural
>>> numbers.
>>> This does not change anywhere. It is true up to every natural number.
>> You wrongly expect this to hold in the infinite.
> No, I expect it is true for all natural numbers, none of which is
> infinite.
But it is true for every natural (if you formalise it correctly)!
That doesn't make it true for N and G.

-- 
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.