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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Does the number of nines increase?
Date: Mon, 1 Jul 2024 09:31:29 -0700
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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:
>>
>>>>> 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.

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

:^)


>>
>> 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
>