Re: Does the number of nines increase?

Le 28/06/2024 à 10:38, joes a écrit :

Am Thu, 27 Jun 2024 12:15:30 +0000 schrieb WM:

Le 26/06/2024 à 23:55, Jim Burns a écrit :
 

WM thinks an infiniteᵂᴹ number is very.very.very.large.but.finiteⁿᵒᵗᐧᵂᴹ

No, I assume that sets are complete. Therefore ℕ_0 as a proper superset
of ℕ has one elements more than ℕ. Infinity does not make them equal.

What does „complete” mean?

It means that no natural number can be added to
{0, 1, 2, 3, ..., ω}
It means that the subtraction of the complete set leaves
{0, 1, 2, 3, ..., ω} \ ℕ = {0, ω}.
It means that in {0, 1, 2, 3, ..., ω} before ω there is a natural number.

With which numbers do you describe the sizes of N and N_0?

Most of them are dark and cannot be used as individuals.
Regards, WM