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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 21 Oct 2024 08:17:20 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Mon, 21 Oct 2024 09:14:20 +0200 schrieb WM:
> On 21.10.2024 01:04, joes wrote:
>> Am Sat, 19 Oct 2024 10:23:05 +0200 schrieb WM:
> 
>>> That is not possible if all natural numbers are doubled. The result
>>> covers the interval (0, ω*2) twice as large as the original one (0,
>>> ω).
>> This destroys the ordering. If m>n, then 2m>2n.
> No, also the transfinite numbers are ordered. But for dark numbers the
> ordering is inaccessible anyhow.
Yes, but the ordinals up to w*2 are two consecutive infinities.

-- 
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.