Re: Does the number of nines increase?

Ross Finlayson pretended :

On 06/28/2024 02:01 PM, FromTheRafters wrote:

WM pretended :

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.

>
The number of nines is not a number.

>
I thought .999... = 1, ....
>
You know, or it "goes" to.

Yes, but the number of nines in the sequence after the radix point is countably infinite rather than finite, hence NaN in this context.