Path: ...!2.eu.feeder.erje.net!3.eu.feeder.erje.net!feeder.erje.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? Date: Wed, 2 Oct 2024 19:10:35 +0200 Organization: A noiseless patient Spider Lines: 13 Message-ID: References: <298dcb6f-5f58-48b6-80e3-34260bf721f8@att.net> <283c426f-ab1c-4ef0-a06c-1bf7d28a2cfa@att.net> <6b50a171-8127-4ce6-9bd3-2dc213638e9b@att.net> <519db81b-4a4d-417d-8cd2-7fef5a342efd@att.net> <6704347e-2f99-40f2-887f-de93f6fdd659@tha.de> <8b3e744d-3419-40c3-a7c6-fe59edd528a9@tha.de> <851e9929-8ab7-49d1-b478-e65c61fba2e3@att.net> <78a0f795-f1c0-4ba5-90f9-acf667968011@att.net> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 02 Oct 2024 19:10:35 +0200 (CEST) Injection-Info: dont-email.me; posting-host="3ee56232258b481cf10c746d08a8f259"; logging-data="3489001"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+nOOkOW2bQzJwSKbMeRTM8" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:ZUxP8o6bIdgkFuZrVcUNq2Uc9zw= In-Reply-To: Content-Language: de-DE Bytes: 2606 Am 02.10.2024 um 14:56 schrieb joes: > Am Wed, 02 Oct 2024 13:10:09 +0200 schrieb WM: >> Note the infinite sequence 1, 2, 3, ..., ω-2, ω-1, ω. >> It consists of infinitely many finite numbers. > Those last numbers are not finite [...] Actually, "ω-2" and "ω-1" are not even defined terms. In Mückenheim's Wahnwelt "ω-1" denotes the ordinal number x such that x + 1 = ω ... (and "ω-2" denotes the ordinal number x such that x + 2 = ω). It's just that there are no such ordinal numbers.