Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : FTR (at) *nospam* nomail.afraid.org (FromTheRafters)
Groupes : sci.mathDate : 04. Oct 2024, 11:38:44
Autres entêtes
Organisation : Peripheral Visions
Message-ID : <vdogjq$6l4c$1@dont-email.me>
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on 10/4/2024, WM supposed :
On 04.10.2024 12:02, FromTheRafters wrote:
on 10/4/2024, WM supposed :
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The sum of all natural numbers is larger than ω.
Wrong, it doesn't sum in the normal sense because it is not convergent.
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Yes, I cannot calculate the sum, but I know that already ω-1 + 1 = ω.
Omega minus one is not defined. 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.
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Nonsense.
Your use of the word nonsense simply means that you don't understand something. If you weren't so clue resistant we could explain it to you.
Nevertheless ω-1 is the last natural number.
Because you say so? Explain what minus one means in reference to omega.
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ω-1, the number next to ω,
Omega minus one is not defined.
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