Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 04. Oct 2024, 19:25:35
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vdpbuv$alvo$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
User-Agent : Mozilla Thunderbird
On 04.10.2024 12:38, FromTheRafters wrote:
on 10/4/2024, WM supposed :
On 04.10.2024 12:02, FromTheRafters wrote:
on 10/4/2024, WM supposed :
>
The sum of all natural numbers is larger than ω.
>
Wrong, it doesn't sum in the normal sense because it is not convergent.
>
Yes, I cannot calculate the sum, but I know that already ω-1 + 1 = ω.
Omega minus one is not defined.
It is defined by ω-1 + 1 = ω.
The 'plus one' here is not plus the
natural number one, but only signifies the "next" ordinal.
You could use the Zeta function for complex numbers and achieve -1/12 as a 'sum' in that sense.
>
Nonsense.
Your use of the word nonsense simply means that you don't understand something.
I understand that the sum 1+2+3+... > 1. More is not required.
Regards, WM
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