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, 11:11:30
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vdof0j$5suf$3@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 12:02, 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.
You could use the Zeta function for complex numbers and achieve -1/12 as a 'sum' in that sense.
Nonsense.
Nevertheless ω-1 is the last natural number.
Because you say so? Explain what minus one means in reference to omega.
ω-1, the number next to ω, cannot be found because it is dark. But if all ordinal numbers are actually existing, then there is no gap between ℕ and ω.
Regards, WM
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