Re: Does the number of nines increase?

Le 30/06/2024 à 20:10, Jim Burns a écrit :

On 6/30/2024 11:15 AM, WM wrote:

Le 29/06/2024 à 23:18, joes a écrit :

Am Sat, 29 Jun 2024 17:01:10 +0000 schrieb WM:

 

Like "0.111..." it is a formula.
Formulas determine sequences.
The other way round is not possible.

>

Then all real numbers are formulas.

>
Yes, you got it!

 Then there are more formulas than there are formulas.

Of course. All constructed finite formulas belong to a potentially infinite collection.

 So, there is a point there.
So, there is a formula there.
But there isn't an indexed.formula there.
So, all the indexed.formulas
(finite strings, finite alphabet)
aren't all the formulas.
Somehow.

Yes. There is no absolute "all" in potential infinity.
Regards, WM