Re: how

Le 14/04/2024 à 22:17, Tom Bola a écrit :

WM schrieb:
 

Le 13/04/2024 à 21:16, Jim Burns a écrit :

On 4/13/2024 8:35 AM, WM wrote:

 

What elements of {1, 2, 3, ..., ω}*2
fall between ω and ω*2?
Their distances must be 2.

 Why 2 ?

 Doubling of ordinals

 The smallest ordinals behind all n in IN possible would be the w's in something like  {0, 1, 2, 3, ..., w, w+1, w+2, w+3, ... w+w}
 which, under f(n)=n*2, has the image
 {0, 2, 4, 6, ..., w*2, w*2+2, w*2+4, w*2+4, ... w*2+w*2}

Right! But ω remains like 6 remains.
Regards, WM