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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 13:29:01 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sun, 12 Jan 2025 12:19:15 +0100 schrieb WM:
> On 11.01.2025 14:58, joes wrote:
>> Am Sat, 11 Jan 2025 12:44:59 +0100 schrieb WM:
> 
>>>>>>> ∀n ∈ ℕ: |{1, 2, 3, ..., 2n}|/|{2, 4, 6, ..., 2n}| = 2.
>> Your claim does not hold for the sets.
> That may be if sets are considered as more than their elements. My
> claims hold for all their elements.
I am talking about the sets N and E. They are infinite, so you are
saying nothing about them, only about finite subsets.

>>> My claim holds for all natnumbers only.
And not for infinity.

>> No numbers are "created"

>>>> There is no "after" an infinity.
> Wrong. 1 is after an infinity of (unit) fractions.
Turn it around and there is nothing before.

-- 
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.