Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Mon, 21 Oct 2024 01:20:59 +0200 Organization: A noiseless patient Spider Lines: 18 Message-ID: References: <97b84c07aa526903a0788584f7f7ae9121f8b81f@i2pn2.org> <60f1280e-e226-4314-8eca-da5410be8ca3@tha.de> <96a7aa944085e76faed69c8db9a8dca599e1a159@i2pn2.org> <2c732eefb860986209bd46ed88391ddceaddff55@i2pn2.org> <27WcnWnC9tjPyIz6nZ2dnZfqn_idnZ2d@giganews.com> <4d080bc4-7c84-4951-a8f4-9bf0f95ad47f@tha.de> <25d2141b-2211-473c-b22b-079f4c103684@tha.de> <62cebe022b6dbe0183443515dce646edf9774d63@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 21 Oct 2024 01:20:59 +0200 (CEST) Injection-Info: dont-email.me; posting-host="e8134474c9d86a385c666874398511d9"; logging-data="658715"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX192c++es6hmfRbQg5Wk8uEw" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:brH7QgTWtLU4QrNSV/zoWfMrF6U= In-Reply-To: <62cebe022b6dbe0183443515dce646edf9774d63@i2pn2.org> Content-Language: de-DE Bytes: 2554 Am 21.10.2024 um 00:43 schrieb joes: > Am Sun, 20 Oct 2024 09:51:37 +0200 schrieb WM: >> On 20.10.2024 04:48, Richard Damon wrote: >>> On 10/19/24 4:28 AM, WM wrote: >>>> What is [...] before ω [...]? >>> The [elements of the] SET of Natural Numbers, not any one in particular. Right. >> In this linearly ordered set there can only be one number before ω. There is NO ordinal number [immediately] before ω. > The set N u {w} is not "linearly ordered". Well, actually, it is.