Re: Does the number of nines increase?

Am Mon, 08 Jul 2024 20:11:45 +0000 schrieb WM:
> Le 08/07/2024 à 16:35, Moebius a écrit :
>> Am 08.07.2024 um 16:12 schrieb WM:
>>> Le 08/07/2024 à 04:52, Moebius a écrit :
>>> 
>>> ℵo unit fractions occupy at least ℵo different points on the positive
>>> real axis.
>> Nicht nur "at least", sondern "genau"
> There is no precision, no "genau" with ℵo.
That is as precise as it gets.

>>> Hence NUF(x) = ℵo cannot be true for x less than ℵo points, that is
>>> for a set of ℵo positive x.
>> NUF(x) = ℵo ist für alle x e IR, x > 0 wahr.
> Not for the first ℵo points and their intervals required that the number
> of unit fractions can grow to ℵo.
Grammar?

>> Auch in diesem Fall gilt: NUF(0) = 0 und für alle x e IR, x > 0: NUF(x)
>> = aleph_0. Das ist alles ziemlich trivial.
> You cannot draw the conclusion: If X unit fractions occupy X points,
> then there cannot exist more than X unit fractions at the first X
> points.
There are no "first points"!

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