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

Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM:

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.

Given an x>0 there are infinitely many unit fractions below. What about
the 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.

Yes. Not all the same ones of course.

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Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.