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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: =?UTF-8?Q?Re=3A_There_is_a_first/smallest_integer_=28in_M=C3=BCcken?=
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Date: Fri, 19 Jul 2024 11:55:35 -0700
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On 7/19/2024 6:55 AM, WM wrote:
> Le 19/07/2024 à 09:11, joes a écrit :
>> Am Thu, 18 Jul 2024 21:12:02 +0000 schrieb WM:
>>> Le 18/07/2024 à 17:44, Moebius a écrit :
>>>
>>>>>>          NUF(x) = aleph_0   for all x e IR, x > 0 ,
>>> That means there are ℵo unit fractions smaller than (0, oo) because this
>>> interval contains all x > 0 and nothing else.
>> It makes no sense to talk about something smaller than an interval.
> 
> It makes sense, but if you dislike this expression, use left-hand side 
> of every x > 0 and of all x > 0, abbreviated by (0, oo).
There will always be a gap between any unit fraction and zero. There is 
no unit fraction that can represent 0. 0/1 is not a unit fraction.