Re: how

On 4/16/24 2:36 PM, WM wrote:

Le 16/04/2024 à 18:38, Mike Terry a écrit :

On 16/04/2024 16:05, WM wrote:

Le 16/04/2024 à 02:35, Mike Terry a écrit :

On 15/04/2024 14:00, Tom Bola wrote:

>

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

>
Should be:
>
0, 1, 2, 3, ...,   w,   w+1,   w+2,   w+3, ...     w+w
|  |  |  |  |||    |     |      | |            |
0, 2, 4, 6, ..., w*2, w*2+1, w*2+2, w*2+3, ... w*2+w*2

>
No. (ω+1)*2 = ω*2 + 2

>
No, you need to learn how ordinal arithmetic works:
>

I see: 1 + ω = ω.
 Nevertheless the question remains where in the second row is ω located, doesn't it?.
 Regards, WM
 Regards, WM

Why does it need to be there?
THe two set/series are of the same size even though the bottom misses the "odd" values.