Re: Does the number of nines increase?

Le 15/07/2024 à 23:08, joes a écrit :

Am Mon, 15 Jul 2024 14:19:36 +0000 schrieb WM:

Hence your claim that for every x > 0: NUF(x) = ℵo, is blatantly wrong.

I don't see how that follows.

Do you believe in the reality of finite real intervals?
ℵ₀ unit fractions occupy ℵ₀ finite intervals. The points of the first one already disprove the claim. 

Therefore there is a first unit fraction. It is an x, a single number
which contradicts your claim.

Non sequitur. Like Moebius said, 1/(1+1/x) is smaller.

Only for x which can be named.
Regards, WM