Re: how

WM drivels:

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.

No - w in the domain is related by the function to w*2,
same as every other element in the domain:

0, 1, 2, 3, ...,   w,   w+1,   w+2,   w+3, ...     w+w
|  |  |  |  |||    |     |      |      |            |
0, 2, 4, 6, ..., w*2, w*2+2, w*2+4, w*2+6, ... w*2+w*2

Anyhow - your "doubling" idea is childish and idiotic bullshit, as always.