Re: 2N=E

On 11/1/24 6:28 AM, WM wrote:

On 01.11.2024 00:44, Richard Damon wrote:

On 10/31/24 1:36 PM, WM wrote:

On 31.10.2024 12:36, Richard Damon wrote:

On 10/30/24 3:52 PM, WM wrote:

>

Do all numbers between 0 and ω exist such that they can be doubled?

>

All Natural Numbers can be doubled and get a number that is in that set.

>
But some of them were not doubled.

 

Nope, they all were.

 If numbers are doubled, then greater numbers are produced.
That is simple mathematics. There is no doubt about it.
If all natural numbers are doubled, then not only natural numbers are produced.

No;e, becuase those greater numbers were already there.

 

Which one wasn't?

 Natural numbers greater than ω/2.
Note that in actual infinity all natural numbers including ω-1 are existing.

ω/2 isn't a number, as ω is DEFINED as the beginning of a new category of ordinals, that follows a SET of numbers (not any number in particular), thus, you can not "back down" from ω by any means.

 Regards, WM