Path: ...!weretis.net!feeder8.news.weretis.net!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: Thu, 17 Oct 2024 13:17:58 -0700 Organization: A noiseless patient Spider Lines: 14 Message-ID: References: <4bc3b086-247a-4547-89cc-1d47f502659d@tha.de> <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> <85cf251afab29f3d64d61a77dd728d0aebdaba96@i2pn2.org> <6160c5b40650b2f1d6e03c082a4b8b2eac83d2aa@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 17 Oct 2024 22:18:00 +0200 (CEST) Injection-Info: dont-email.me; posting-host="ddfff861e77a4ec6395e0ca0b8775b9a"; logging-data="3044858"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/mNT13xgwgdHSrJfaxBl2/8KKlDPx1Cas=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:jjY2EHoEJU73gNlc5HoP/VpZ7oo= Content-Language: en-US In-Reply-To: Bytes: 2602 On 10/17/2024 11:46 AM, WM wrote: > On 17.10.2024 02:18, Richard Damon wrote: >> On 10/16/24 1:18 PM, WM wrote: > >>> Of course it is a general rule. Doubling creates larger numbers. > >> But those numbers are still in the set, and all the members of the set >> were doubled, so none of the doubled values got us to a value that >> wasn't doubled. > > Therefore not all doubles are natural. Huh? WTF! Any natural number that is doubled equals a natural number that was always there to begin with. Damn it! ;^o