Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Sun, 20 Oct 2024 11:54:02 -0700 Organization: A noiseless patient Spider Lines: 14 Message-ID: References: <09d9f0df-b1bb-42a7-af9b-890bfbcfc581@att.net> <3f63bc22-83b2-4d56-9837-849551170c77@att.net> <50ac7044-f8c1-47d9-947f-9fa6044e1848@tha.de> <68b8be64-7fe8-47e7-a991-7adf14713af5@att.net> <53460f91-4542-4a92-bc4b-833c2ad61e52@att.net> <29ce40e9-f18a-44d4-84d9-23e587cf9dea@att.net> <2b6f9104-a927-49ee-9cf0-6ee3f82edc23@att.net> <22f95ff7-c361-4d8a-943c-1df76abb98cc@att.net> <9c55eda1-bb24-44ae-9158-2a3b354170cd@att.net> <30b58bd38b2264ae8ca180a544cc88ee34c6d8fa@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 20 Oct 2024 20:54:03 +0200 (CEST) Injection-Info: dont-email.me; posting-host="4348f2eaa7e685a949c1bfdab9f7454c"; logging-data="574551"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19DidHwaQmkjcS7giVedP6fXzPT7xpU/kI=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:li9hK80+DLXBH7PvuLWYG/ode80= Content-Language: en-US In-Reply-To: Bytes: 2448 On 10/20/2024 7:26 AM, WM wrote: > On 20.10.2024 13:56, Richard Damon wrote: >> On 10/20/24 3:48 AM, WM wrote: > >>> All doubled numbers result in larger numbers. That cannot be avoided. > ยด >> But since there isn't a "largest" number, > > There is completeness. Argh! "Completeness" does not imply a largest natural number! Saying N is all the natural numbers, does not imply a largest natural number...