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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: Sun, 13 Oct 2024 15:12:43 -0700
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On 9/18/2024 7:31 AM, 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.

With regard to a very _strict) line of thinking (no mixing and 
matching), say 100% natural numbers... There is NO "gap" between, say:

3 and 4

> 
> There is no gap in the real line.
> 
> There is no next in the real line.
> If there were, there'd be a gap.
> 
>