Re: how

WM schrieb:

Le 23/04/2024 à 01:01, Richard Damon a écrit :

On 4/22/24 10:15 AM, WM wrote:

 

The results cannot be compressed to the interval (0, ω) of the set { 1,
2, 3, ...}. This shows that new numbers are generated by multiplication.
 

Of course they can be compressed into the interval (0, ω), as every
finite number n < ω, when doubled results in a finite number 2n which is
also < ω.

 
Try to map the closed interval [0, ω]*2 = [0, ω*2].

There is simply no relation [=] for these intervals.

If [0, ω) --> [0, ω) and ω*2 --> ω*2,

Wrong, you mean ... [0, ω] --> [0, ω*2] ...

then ω*2 is the only image point in (ω, ω*2].

Right.

Infinitely points many remain empty.

You mean on a scale of ordinal numbers - so what!

Crippled mathematics. Ugly. Inacceptable.

ROTFL. Get a rope already!
(Writing a book with your bullshit is not your business after 30++ years.)