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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: Thu, 19 Sep 2024 12:38:43 +0200
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On 18.09.2024 16:31, Jim Burns wrote:
> On 9/18/2024 8:39 AM, WM wrote:
>> On 16.09.2024 19:30, Jim Burns wrote:
>>> On 9/15/2024 3:47 PM, WM wrote:
> 
>>>> I don't believe in gaps on the real line.
>>>
>>> There aren't gaps and there aren't next.numbers
>>> in numbers.situating.splits of rationals with
>>> countable.to.numerators.and.denominators
>>
>> So what is next instead?
> 
> What is between one and the next?
> A gap.
> 
> There is no gap in the real line.
> 
> There is no next in the real line.
> If there were, there'd be a gap.
> 
Try to use logic. Either there is a point next to zero or there is no 
point next to zero, that means there is nothing, i.e., a gap.

Regards, WM