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

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