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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: Fri, 13 Sep 2024 12:31:47 -0700
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On 9/13/2024 9:23 AM, WM wrote:
> On 12.09.2024 21:12, Jim Burns wrote:
>> On 9/12/2024 7:39 AM, WM wrote:
> 
> 
>> ⎛ Expecting infinity to be unsurprising
>> ⎜ is like
>> ⎜ traveling to Outer Mongolia and
>> ⎝ expecting everyone there to speak perfect German.
> 
> Expecting infinity to obey logic is justified.
>>
>> Infinity is foreign.
>> Foreign isn't uninvestigatable,
> 
> I investigate it. I am sure that at every finite step Bob remains. And 
> there are no other steps, even if there are infinitely many.
>>> Nevertheless (0,1] has a smallest point.
>>> It is dark.
>>> Where no point is, there is no interval.
>>> Interval-ends without points are matheology.
>>
>> "Obvious" has devolved into gibberish.
> 
> The real axis has no gaps, not even a single one at the end of (0, 1] 
> after zero.

Real numbers are dense. Keep in mind that every unit fraction is a real, 
but not all reals are unit fractions... :^)