Path: ...!weretis.net!feeder6.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: how Date: Tue, 16 Apr 2024 19:29:07 -0400 Organization: i2pn2 (i2pn.org) Message-ID: References: <29c99292-805f-4f34-a1c8-ce1c7cd82f75@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 16 Apr 2024 23:29:07 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1404573"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US In-Reply-To: Bytes: 2315 Lines: 32 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.