Re: Does the number of nines increase?

joes has brought this to us :

Am Fri, 28 Jun 2024 18:19:11 +0000 schrieb WM:

Le 28/06/2024 à 19:16, joes a écrit :

Am Fri, 28 Jun 2024 13:50:06 +0000 schrieb WM:

Le 28/06/2024 à 06:31, Jim Burns a écrit :

On 6/27/2024 2:37 PM, WM wrote:

Le 27/06/2024 à 18:30, Jim Burns a écrit :

Cardinalities which can grow by 1 are finite. Cardinalities which
cannot grow by 1 are infinite.

Cardinalities are useless. Sets can grow by 1 element.

So what is the size of N\{2}?

It is |ℕ| - 1. That was easy.

Why is that the same as ℕ\{1}? They are not supersets of each other.

Two sets with the same cardinality are not necessarily the same. Two sets can be unequal to each other but still be equal in cardinality.
Each set above is created by filtering one element out of consideration in forming the new set.