Re: How many different unit fractions are lessorequal than all unit fractions?

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