Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.mathDate : 05. Oct 2024, 09:10:59
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <8c94a117d7ddaba3e7858116dc5bc7c66a46c405@i2pn2.org>
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User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Fri, 04 Oct 2024 20:25:35 +0200 schrieb WM:
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.
That is clearly an infinite number.
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.
-- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:It is not guaranteed that n+1 exists for every n.
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