Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail
From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Sat, 19 Oct 2024 22:48:49 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <ac6ccf172f1bd2ca320fe6ec4f7bc4a4b940d926@i2pn2.org>
References: <vb4rde$22fb4$2@solani.org> <ve6kl1$207d$1@news.muc.de>
 <ve96jj$38qui$2@dont-email.me> <ve97c7$2f64$1@news.muc.de>
 <ve97qj$38qui$4@dont-email.me>
 <3f5fcf13171337f1c3d2ef84cc149be327648451@i2pn2.org>
 <veecr3$7rap$1@dont-email.me>
 <97b84c07aa526903a0788584f7f7ae9121f8b81f@i2pn2.org>
 <veirkn$desj$2@solani.org>
 <db221d267ae4b956cd0818c9b5ccc0311df97d1e@i2pn2.org>
 <60f1280e-e226-4314-8eca-da5410be8ca3@tha.de>
 <96a7aa944085e76faed69c8db9a8dca599e1a159@i2pn2.org>
 <vejhcb$ditg$1@solani.org>
 <2c732eefb860986209bd46ed88391ddceaddff55@i2pn2.org>
 <vOmcnYVG-OHpKZP6nZ2dnZfqnPSdnZ2d@giganews.com>
 <avecnXK3J6VsU5P6nZ2dnZfqnPhg4p2d@giganews.com>
 <vensvb$2533b$2@dont-email.me> <veoumv$2bc1q$4@dont-email.me>
 <veovbm$2bc2g$2@dont-email.me>
 <aqCcnTFQ7MNz_436nZ2dnZfqnPudnZ2d@giganews.com>
 <bd2fe5d4-c284-47e7-a265-720539d2ab42@att.net>
 <27WcnWnC9tjPyIz6nZ2dnZfqn_idnZ2d@giganews.com>
 <f1e485be-dc79-49ba-87fa-4bb23910d878@att.net>
 <4d080bc4-7c84-4951-a8f4-9bf0f95ad47f@tha.de>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Sun, 20 Oct 2024 02:48:49 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="2821875"; mail-complaints-to="usenet@i2pn2.org";
	posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg";
User-Agent: Mozilla Thunderbird
X-Spam-Checker-Version: SpamAssassin 4.0.0
In-Reply-To: <4d080bc4-7c84-4951-a8f4-9bf0f95ad47f@tha.de>
Content-Language: en-US
Bytes: 2362
Lines: 16

On 10/19/24 4:28 AM, WM wrote:
> On 18.10.2024 14:26, Jim Burns wrote:
> 
>> There is no ω
>> such that the numbers are
>> evenly.spaced between 0 and ω
>> because
>> that describes a finite ordinal, not ω
> 
> What is immediately before ω if not finite numbers?
> 
> Regards, WM
> 

The SET of Natural Numbers, not any one in particular.

That is a break from a change of scale.