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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 21:03:24 +0200
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On 09.09.2024 17:49, joes wrote:
> Am Mon, 09 Sep 2024 17:32:11 +0200 schrieb WM:
>> On 09.09.2024 17:15, joes wrote:
>>> Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM:
>>
>>>> You claim that ℵo unit fractions are smaller than ANY x > 0.
>>> Yes. Not all the same ones of course.
>> My question concerns same unit fractions only. Do ℵo unit fractions
>> exist smaller than any x > 0? If not, how many same unit fractions exist
>> smaller than any x > 0? How many are smalleror equal than all unit
>> fractions?
> That is a different question

No, that is THE question.

> Of course no unit
> fraction is smaller than every other unit fraction.

This is the first question:
Do ℵo unit fractions exist smaller than any x > 0,
as Fritsche claims?

The second question concerns a weaker claim:
Do ℵo unit fractions exist smaller than any 1/n > 0?

If you deny it you cannot approve to the first question.

Regards, WM