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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
Date: Sun, 20 Oct 2024 07:13:56 -0400
Organization: Peripheral Visions
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References: <vb4rde$22fb4$2@solani.org>   <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> <ac6ccf172f1bd2ca320fe6ec4f7bc4a4b940d926@i2pn2.org> <25d2141b-2211-473c-b22b-079f4c103684@tha.de>
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WM presented the following explanation :
> On 20.10.2024 04:48, Richard Damon wrote:
>> 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?
>
>> The SET of Natural Numbers, not any one in particular.
>
> In this linearly ordered set there can only be one number before ω.

Because you say so?