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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Kempner series
Date: Mon, 14 Apr 2025 14:25:33 +0200
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On 14.04.2025 14:20, joes wrote:
> Am Mon, 14 Apr 2025 13:52:44 +0200 schrieb WM:

>> All definable sequences of digits are finite. It wouldn't be
>> possible to define infinitely many numbers individually.
> I think it’s possible to define an infinite number sequence, like the
> decimal expansion of e.

It is not possible to define all digits. The formula provides the digit 
at given place , but most n are dark ad therefore cannot be give.

>>>> Wrong. The denominators of the harmonic sequence are finite numbers
>>>> but the diverging part consists of numbers which are larger than all
>>>> definable numbers.
>>> Sounds pretty infinite to me.
>> None is infinite. If you cannot comprehend the meaning of "definable",
>> then first try "defined". There are only finitely many numbers defined.
> That is wrong already. The set N is infinite.
> 
>> Since this remains so forever, there are also only finitely many numbers
>> definable.
> Does not follow if you have infinite time.

There is no actually infinite time. Every second belongs to a finite time.

Regards, WM
>