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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: Mon, 9 Sep 2024 16:53:32 +0200
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On 09.09.2024 13:32, Richard Damon wrote:

> No, because the claim is GIVEN an x, we can do "Y", that is make the 
> Aleph_0 unit fractions below it.

You are in error. MY CLAIM is: Given ℵo unit fractions smaller than 
every x > 0, then I choose any of their gaps.

> Until you have chosen your x, we don't 
> need to provide those unit fractions, so, you can't use them to create 
> your x.

You claim that ℵo unit fractions are smaller than ANY x > 0. That is 
simply fool's crap.

> To follow YOUR idea, then *YOU* get stuck in the infinite loop of every 
> time you change your x, the unit fractions change so you need to change 
> to another x, and the unit fractions change again.

I do not change anything. There are unit fractions as real points on the 
real line. These real points are really real and therefore must start 
somewhere. Hence there is a beginning, one ore more first points.

Regards, WM