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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Fri, 4 Oct 2024 20:25:35 +0200
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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