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NNTP-Posting-Date: Tue, 16 Apr 2024 16:38:42 +0000
Subject: Re: how
Newsgroups: sci.math
References: <qHqKnNhkFFpow5Tl3Eiz12-8JEI@jntp> <_g9BcdiKQ1epFrcvM4FSF2rZkN8@jntp> <f4890eb5-e8df-4d98-a1ba-98c40f516df5@att.net> <HowGC2OIbH3GwJcRQBgR51F0vzM@jntp> <29c99292-805f-4f34-a1c8-ce1c7cd82f75@att.net> <WUdrtFzAGxMxA0R9q5J6yKSUZZk@jntp> <uvhdlb$3qhdi$1@dont-email.me> <yEN9mcjNSFCpZauAmq9PZpqTvbE@jntp> <uvj8dn$9pp1$1@dont-email.me> <E-6dnYXNGokhWoD7nZ2dnZfqn_WdnZ2d@brightview.co.uk> <WWAAjqwU3NYrjHFv9FAJdIPacMA@jntp>
From: Mike Terry <news.dead.person.stones@darjeeling.plus.com>
Date: Tue, 16 Apr 2024 17:38:42 +0100
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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:

<https://en.wikipedia.org/wiki/Ordinal_arithmetic#Addition>