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? (infinitary) Date: Sun, 20 Oct 2024 22:37:20 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: References: <3f63bc22-83b2-4d56-9837-849551170c77@att.net> <50ac7044-f8c1-47d9-947f-9fa6044e1848@tha.de> <68b8be64-7fe8-47e7-a991-7adf14713af5@att.net> <53460f91-4542-4a92-bc4b-833c2ad61e52@att.net> <29ce40e9-f18a-44d4-84d9-23e587cf9dea@att.net> <2b6f9104-a927-49ee-9cf0-6ee3f82edc23@att.net> <22f95ff7-c361-4d8a-943c-1df76abb98cc@att.net> <9c55eda1-bb24-44ae-9158-2a3b354170cd@att.net> <4ce512c0-8196-4923-9a6b-359c25fdfa3a@att.net> <8418a2e3-bba2-43b4-8c77-3e947a270476@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sun, 20 Oct 2024 22:37:20 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2857145"; 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: 2616 Lines: 17 Am Sun, 20 Oct 2024 21:54:39 +0200 schrieb WM: > On 20.10.2024 21:42, Jim Burns wrote: >> On 10/20/2024 3:24 PM, WM wrote: >>> On 20.10.2024 20:20, Jim Burns wrote: >>>> On 10/20/2024 3:48 AM, WM wrote: >>>>> On 20.10.2024 00:54, Jim Burns wrote: >>>>>> On 10/19/2024 2:19 PM, WM wrote: >>>> If all finites are doubled, >>>>then all results are in the set of finites. >>> But not in the mapped or multiplied range. >> If n is countable.to from 0 then 2⋅n is countable.to from 0 > Nevertheless 2n is not in the set {1, ..., n}. We are not doubling a finite set. And 2n is in N for every n e N. -- 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.