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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 13:40:44 -0700
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On 7/1/2024 9:31 AM, Chris M. Thomasson wrote:
> 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


..666... = .(6) = 2/3


> 
> :^)
> 
> 
>>>
>>> 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
>>
>