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

Am Mon, 09 Sep 2024 12:24:39 +0200 schrieb WM:

On 08.09.2024 22:06, joes wrote:

Am Sun, 08 Sep 2024 21:28:44 +0200 schrieb WM:

On 07.09.2024 16:05, Python wrote:

Le 07/09/2024 à 15:03, WM a écrit :

>

Stop that nonsense. ℵo unit fractions cannot fit into every interval
(0, x).

Select any gap between one of the first ℵo unit fractions and its
neighbour. Call its size x. Then ℵo unit fractions cannot fit into the
interval (0, x), independent of the actual size.

What’s your point? Of course the distances decrease.

ℵo unit fractions cannot fit into one of the ℵo intervals between two of
them, because ℵo unit fractions occupy ℵo intervals.

I still don’t understand. You can choose any size of interval and slide
it around to include an arbitrary number of unit fractions.

--
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.