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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Tue, 1 Oct 2024 19:39:20 +0200
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On 01.10.2024 01:14, Richard Damon wrote:
> On 9/30/24 11:15 AM, WM wrote:
>> On 30.09.2024 00:29, FromTheRafters wrote:
>>> WM explained on 9/29/2024 :
>>>> On 28.09.2024 00:08, FromTheRafters wrote:
>>>>  > WM presented the following explanation :
>>>>
>>>>  >> Between two unit fractions there is always a finite gap.
>>>>  >
>>>>  > How big?
>>>>
>>>> In terms of set theory: uncountably many points.
>>>
>>> How wide are these points?
>>
>> More than nothing.
> 
> But it must be next to nothing,

No, between them and nothing there are infinitely many countable sets 
and then finite sets of points.

> which becomes nothing when we get to the 
> actual infinite set.

Not in mathematics.

Regards, WM