Re: Does the number of nines increase?

Am Fri, 05 Jul 2024 07:44:40 +0000 schrieb WM:

Le 04/07/2024 à 18:39, joes a écrit :

Am Thu, 04 Jul 2024 13:19:35 +0000 schrieb WM:

Not every x > 0 is larger than ℵo finite distances.

That depends on the size of those distances.

Wrong, and easily proved wrong: NUF(x), the number of unit fractions
between 0 and x increases from 0 to more. It cannot grow by more than 1
at any real point x because at any x only one unit fraction can exist.

It is infinite for every x>0 and zero at 0. There is no first point.
Same as the sign function. Where does that one jump?

Hinweis: Für jedes x e IR mit x > 0 gibt es (abzählbar) unendlich
viele Stammbrüche s, so dass s < x ist.

Only for x larger than ℵo finite distances.

Which ones aren’t?

Any x within the first distance.

Which is?

Note that without a first distance ℵo distances cannot exist.

Why not? You’re counting from the wrong end.

--
Am Fri, 28 Jun 2024 16:52:17 -0500 schrieb olcott:
Objectively I am a genius.