Re: Does the number of nines increase?

On 7/1/2024 9:10 AM, WM wrote:

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:

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

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Then all real numbers are formulas.

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Yes, you got it!

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Then there are more formulas than there are formulas.

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

 .6 is finite
.66 is finite
.666 is finite
.(6) is infinite

 :^)
 

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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.

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