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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The existence of dark numbers proved by the thinned out harmonic
 series.
Date: Tue, 18 Mar 2025 09:48:25 +0100
Organization: A noiseless patient Spider
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On 17.03.2025 18:49, FromTheRafters wrote:
> on 3/17/2025, WM supposed :

>>> You seem to think that there is N_def followed by a fairy dust of 
>>> undefined elements which get left behind after some small sequence of 
>>> finite members (FISON) are 'removed' from N (leaving fairy dust 
>>> behind as a set) instead of 'constructing' a new set from 'the 
>>> elements of' the set of naturals.
>>
>> So it is! Remember the harmonic series. It is infinite although all 
>> defined numbers are separately collected in converging subseries.
> 
> I don't know what you expect to achieve along these lines,

It is simple: All definable digit sequences can be split off. Only dark 
terms remain and make the series diverging.

Regards, WM