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:

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

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Why 2 ?

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Doubling of ordinals

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

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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.