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

Am Fri, 04 Oct 2024 22:09:41 +0200 schrieb WM:

On 04.10.2024 21:37, Jim Burns wrote:

On 10/4/2024 5:53 AM, WM wrote:

 

If slightly fewer is not possible,
then ℵ₀ unit fractions sit at one point.

No.

Otherwise we could enter the gaps between them.

We can.

Slightly fewer is not possible.

That proves one point.

You (WM) think that that's wrong because you (WM) think that a
quantifier shift is reliable.
However, a quantifier shift is unreliable.

It is more reliable than your unfounded twaddle.

Apparently you have no idea what a quantifier shift even is.
Have you looked at the Wikipedia page?

But it is no quantifier shift but simplest logic:
If ℵ₀ unit fractions do not sit at one point (and are not dark) then
they can be subdivided into smaller parts.

Which they can.
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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.