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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sat, 14 Sep 2024 17:18:24 -0700
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On 9/14/2024 5:07 PM, Moebius wrote:
> Am 15.09.2024 um 01:54 schrieb Chris M. Thomasson:
>> On 9/14/2024 10:30 AM, FromTheRafters wrote:
>>> WM presented the following explanation :
>>>> On 14.09.2024 01:05, FromTheRafters wrote:
>>>>> WM explained :
>>>>
>>>>>> No, that is your big mistake. In the interval [0, 1] there is a 
>>>>>> point next to 0 and a point next to 1, and infinitely many are 
>>>>>> beteen them.
>>>>>
>>>>> Define 'next [to]' in this context.
>>>>
>>>> Two points are next to each other means that no point is between them.
>>>
>>> So which point is next to zero. Is it rational, or is it irrational? 
>>> In either case it is greater than zero and there is again more room 
>>> for an even closer number.
> 
> If r e IR, r > 0, then 0 < r/2 < r.
> 
> Hence there is no real number > 0 "next to 0".
> 
>> WM says .00001 is next to zero... Ahhh shit, what about .000001?

..(0)1 is close to zero? ;^D