Re: Does the number of nines increase?

Le 28/06/2024 à 19:23, joes a écrit :

Am Fri, 28 Jun 2024 13:55:34 +0000 schrieb WM:

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 infinite number is
very.large.but.finite

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.

Infinity does not have a predecessor like finite numbers.

What is immediately before ω?

 

What does „complete” mean?

It means that no natural number can be added to {0, 1, 2, 3, ..., ω}

Duh, the set of all natural numbers N contains all of them.

What is immediately before 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.

There is not, since there are infinitely many of them.

Linearity excludes more than one at a position. Immediately before ω there is at most one 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.

Not their elements. I was asking for their number, how many
of them there are.

|N| + 1 = |N_0|
Regards, WM