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: Sat, 2 Nov 2024 18:57:51 +0100 Organization: A noiseless patient Spider Lines: 18 Message-ID: References: <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <30dffbdf129483f7b61e3284d1e7bf2ad2e5ea16@i2pn2.org> <9ca97f4a24ae1e3041583265125cf860d2fada11@i2pn2.org> <4850cc0b411191fefa3f8f0b90c769aeb1645ec0@i2pn2.org> <82b707e7c00e3b65fdd6fd64e2a696a2dd389c47@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 02 Nov 2024 18:57:52 +0100 (CET) Injection-Info: dont-email.me; posting-host="2f7bdf3e653733b4727fe893b0085bd6"; logging-data="4064783"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX186ElkHd8Vd+GO6JDE2RxaaSJrIGuBDMw0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:h9iZZcAjIYDmKLHEdulEVAwfgvY= Content-Language: en-US In-Reply-To: <82b707e7c00e3b65fdd6fd64e2a696a2dd389c47@i2pn2.org> Bytes: 2502 On 02.11.2024 17:02, Richard Damon wrote: > On 11/2/24 6:15 AM, WM wrote: >> On 02.11.2024 01:55, Richard Damon wrote: >> >>> Infinite sets do not need to have both ends in them. >> >> Between 0 and 1 there are unit fractions. Hence there must be a first >> one. The interval without unit fractions and the interval containing >> unit fractions are separated by the smallest unit fraction. > Why? > > That is just finite logic. There is no other logic. Regards, WM