Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Wed, 11 Sep 2024 21:00:05 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <73f09425214bb25768fabf576b4ae5d98ef97431@i2pn2.org> References: <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <035b16b56a204dfe5e561b3cfe03238167dba39a@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 12 Sep 2024 01:00:06 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1715711"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird Content-Language: en-US In-Reply-To: X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2508 Lines: 19 On 9/11/24 10:37 AM, WM wrote: > On 11.09.2024 04:09, Richard Damon wrote: >> On 9/10/24 2:59 PM, WM wrote: > >>> Real points can be addressed from every side. > >> But only indexed from an actual end point. >> > Every real point is an end point (of its subinterval). > > Regards, WM > Yes, so you can "Address" (give a value) but not an index (a count). So, you can't "index" an unbounded set of unit fractions from 0, as there isn't a "first" unit fraction from that end. We can "address" those unit fractions with the value, but we can not "index" them from 0, only from 1/1.