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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: how
Date: Tue, 16 Apr 2024 19:29:07 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <uvn1k3$1arkt$2@i2pn2.org>
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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.