Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Mon, 9 Sep 2024 15:15:10 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <4f9cb578fe0b0891c115fd21cbc25642f706b63a@i2pn2.org> References: <7e1e3f62-1fba-4484-8e34-6ff8f1e54625@att.net> <06ee7920-eff2-4687-be98-67a89b301c93@att.net> <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <9eeba8a5041ce7ee48e5019d9e98d4ea38a1eb72@i2pn2.org> <89ed6d8de6c20d65e869d384181b642309f63bc4@i2pn2.org> <7a991922c09e309450ac278f884091dfe716cae3@i2pn2.org> <918c948309b4a74d0bc505a1c2f40a7868072f41@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Mon, 9 Sep 2024 15:15:10 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1409728"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2624 Lines: 17 Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM: > On 09.09.2024 13:32, Richard Damon wrote: > >> No, because the claim is GIVEN an x, we can do "Y", that is make the >> Aleph_0 unit fractions below it. > You are in error. MY CLAIM is: Given ℵo unit fractions smaller than > every x > 0, then I choose any of their gaps. Given an x>0 there are infinitely many unit fractions below. What about the gaps? >> Until you have chosen your x, we don't need to provide those unit >> fractions, so, you can't use them to create your x. > You claim that ℵo unit fractions are smaller than ANY x > 0. Yes. Not all the same ones of course. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.