Path: ...!2.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.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? Date: Sun, 15 Sep 2024 21:44:45 +0200 Organization: A noiseless patient Spider Lines: 20 Message-ID: References: <405557f7289631d63264c712d137244c940b9926@i2pn2.org> <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org> <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 15 Sep 2024 21:44:45 +0200 (CEST) Injection-Info: dont-email.me; posting-host="22b48455dd79dc014c156cd8f3f5071c"; logging-data="2459145"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18tpldBQEiKOkJzvHJ7BAKQO+f8ubsdlpo=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:BQa3J9jK49QI2rMAOupcaQnKVh4= In-Reply-To: Content-Language: en-US Bytes: 2400 On 14.09.2024 19:30, FromTheRafters wrote: > WM presented the following explanation : >> Two points are next to each other means that no point is between them. > > So which point is next to zero. Is it rational, or is it irrational? That is unknown and will remain so forever because the point is dark with no chance to get visible. There is a good chance however, that it is irrational because there are many more irrational points than rational points. > In > either case it is greater than zero and there is again more room for an > even closer number. Dark numbers have no discernible order. Regards, WM