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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Tue, 10 Sep 2024 21:24:05 -0400
Organization: i2pn2 (i2pn.org)
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On 9/10/24 3:05 PM, WM wrote:
> On 10.09.2024 13:49, Richard Damon wrote:
>> On 9/9/24 10:57 AM, WM wrote:
> 
>>> Unit fractions are real points on the real line. Therefore there is a 
>>> beginning, one or more smallest unit fractions.
>>>
>> Where do you get that from?
> 
> What is the alternative?
> 
> Regards, WM

Accept the TRUTH that there exist no smallest unit fraction, positive 
rational or positive real, because for any x you might try to claim to 
be one, has a INFINITE number of points below it, including x/2 as a 
starter.

If you can't accept that, then accept that you mind just can't handle 
unbounded infinite sets and live with it.

By your sort of admitting that you are doing this just because you can't 
see any other option, is the first step to learning about the other 
options that you couldn't think of by yourself.

Of course, to continue, you must admit that you logic isn't working and 
you need to be willing to learn something new.