Re: How many different unit fractions are lessorequal than all unit fractions?

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.