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From: WM <wolfgang.mueckenheim@tha.de>
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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