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From: Python <python@invalid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Mon, 9 Sep 2024 17:27:55 +0200
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Le 09/09/2024 à 17:15, Crank Mückenheim, aka WM a écrit :
> On 09.09.2024 16:32, Python wrote:
>> Le 09/09/2024 à 12:19, Crank Mückenheim, aka WM a écrit :
> 
>>> ℵo unit fractions cannot fit into one of the ℵo intervals between two 
>>> of them.
>>
>> (O, x) is NOT an interval between two unit fractions.
> 
> 1/n - 1/(n+1) = x is an interval between two unit fraction.

No. It is a number.

> This 
> interval is shifted to the origin, yielding the interval (0, x). It does 
> not contain ℵo unit fractions. It does not contain 1/n.

1/n is not in (0, x). Sure. So what? Nevertheless there are Aleph_0 unit
fractions in (0, x). No need for 1/n to be there, there far enough other
fractions.

> [snip more nonsense]