Sujet : Re: collective and individual removal
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 28. Apr 2025, 20:54:31
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vuomdn$2193$1@dont-email.me>
References : 1 2
User-Agent : Mozilla Thunderbird
On 28.04.2025 16:04, FromTheRafters wrote:
WM explained on 4/28/2025 :
We can remove collectively all terms from the harmonic series. Nothing remains.
>
If we restrict the removal to individually definable terms, then an infinity remains.
>
Is this remainder caused by the impossibility to define infinitely many terms individually? No! It is sufficient to define one term, namely the last one definable.
But there is no last one definable
That is true. They are a potentially infinite sequence.
since they all are.
That is wrong because you cannot remove all natural numbers by removing only definable numbers
Regards, WM