Re: Does the number of nines increase?

Le 28/06/2024 à 19:46, FromTheRafters a écrit :

joes was thinking very hard :

Am Fri, 28 Jun 2024 13:55:34 +0000 schrieb WM:

What does „complete” mean?

It means that no natural number can be added to {0, 1, 2, 3, ..., ω}

Duh, the set of all natural numbers N contains all of them.

With which numbers do you describe the sizes of N and N_0?

Most of them are dark and cannot be used as individuals.

Not their elements. I was asking for their number, how many
of them there are.

 There's a number of them, however, how many there are is not a number.

Either there is a complete and fixed set ℕ with a fixed number |ℕ| of elements.
If so, then 0.999...*10 = 9,999... where the number of nines has not changed by more than 0.
Or this is not the case.
But assuming completeness and simultaneously claiming different numbers of nines is stupid.
Regards, WM