Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Mon, 28 Oct 2024 20:42:20 +0100 Organization: A noiseless patient Spider Lines: 13 Message-ID: References: <08a00c75-bf8d-4f9c-816a-83b8517ca04e@att.net> <062a0fa5-9a15-4649-8095-22c877af5ebf@att.net> <276fc9df-619b-4a10-b414-a04a74aa7378@att.net> <88e6a631-417a-4dd0-9443-a57116dcbd28@att.net> <7a1e34df-ffee-4d30-ae8c-2af5bcb1d932@att.net> <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 28 Oct 2024 20:42:20 +0100 (CET) Injection-Info: dont-email.me; posting-host="028c8f7ef7e0642f2efab9c9f9b9b737"; logging-data="1201549"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/38G2xUkT+G87wdmiANZ7zynti0SqoDy0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:oTOgKajTcRIvGhxhqBSVL7Tcdy4= Content-Language: en-US In-Reply-To: Bytes: 2385 On 28.10.2024 12:17, Richard Damon wrote: > On 10/28/24 5:49 AM, WM wrote: > Your proof fails because it assumes properties that are not actually > required. > > If you really mean that there must be a lowest unit fraction, I mean that there are unit fractions. None is below zero. Mathematics proves that never more than one is at any point. Regards, WM