Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!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, 3 Nov 2024 14:34:28 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <0eb1a655c8044fa2bd8be725442aa04d652eb784@i2pn2.org> References: <30dffbdf129483f7b61e3284d1e7bf2ad2e5ea16@i2pn2.org> <9ca97f4a24ae1e3041583265125cf860d2fada11@i2pn2.org> <6ed3abd1b4d30ed6db4b9152f7a0ad5da583f147@i2pn2.org> <1acb1cd703640f9df3051921fc01de139f9bc5c5@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sun, 3 Nov 2024 14:34:28 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="721431"; 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: 2937 Lines: 22 Am Sat, 02 Nov 2024 22:39:36 +0100 schrieb WM: > On 02.11.2024 21:34, Richard Damon wrote: >> On 11/2/24 1:42 PM, WM wrote: >>> On 02.11.2024 14:50, Moebius wrote: >>>> Am 02.11.2024 um 14:21 schrieb joes: >>>>> Am Fri, 01 Nov 2024 18:03:26 +0100 schrieb WM: >>>> >>>>>> If an invariable set of numbers is there, then there is a smallest >>>>>> and a largest number of those which are existing. >>>> or each and every n e IN there is an n' e IN (say n' = n+1) >>> Actual infinity is not based on claims for each and every, but >>> concerns all. >> But if it applies to ALL, it must apply to ANY, so a property of ANY >> must apply to each on of the ALL. >> So, for ALL the Natural Numbers, there can't be a highest, because for >> ANY Natural Number there is a following one > That cannot be true for all dark numbers. And that is why "dark" numbers are not natural (or the naturals are all not dark). -- 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.