Re: 2N=E

On 06.11.2024 14:21, joes wrote:

Am Wed, 06 Nov 2024 11:41:47 +0100 schrieb WM:

On 05.11.2024 20:39, joes wrote:

Am Mon, 04 Nov 2024 12:19:33 +0100 schrieb WM:

>

You must be clairvoyant if you knew in advance whether something is
done at all.

I know I will get even numbers.

But you will get larger even numbers than were multiplied.

Not if you really multiply all numbers.

In every case.

In every finite case.

The infinite case is every finite case. What more could it be? Infinite natural numbers?

If I start with 2 and keep doubling, I never leave N or reach omega.
 

If you start with the greatest natural number that you can start with, you remain in ℕ. But if you double all, then you get transfinite numbers: [0, ω]*2 = [0, ω*2] but not your ugly fantasy [0, ω] U {ω*2}.
Regards, WM