Path: news.eternal-september.org!eternal-september.org!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: The set of necessary FISONs Date: Sun, 13 Apr 2025 08:46:42 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <716c883d3ef8feb6daefddee632a53569f8cd1e5@i2pn2.org> References: <04dd7515-297c-4e7c-9e6a-a4f43e663552@att.net> <43c020cb-dc8b-4feb-be1d-2a76f02be14e@att.net> <19431656-fb42-4569-9334-b5b7e19c80c6@att.net> <4b45ff34-dc3f-4e32-90a3-237f78fbd321@att.net> <2e5bced50a3571e40311d75977f0880db77fe5a1@i2pn2.org> <630f69206a09e08bc68b59cc1f95aac5e8a0f84b@i2pn2.org> <88e790cc59217e199ea7419268fa49a598a0df8b@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sun, 13 Apr 2025 08:46:42 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="139062"; 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 Am Fri, 11 Apr 2025 14:43:59 +0200 schrieb WM: > On 11.04.2025 04:03, Richard Damon wrote: >> On 3/5/25 4:05 PM, WM wrote: > >>> Therefore iteration fails to produce actual infinity. >> Where do you get that? >> The memeber of the set we iterate in are all finite, but the resultant >> set is infinite itself. > It is impossible to iterate the definable terms such that the remainedr > is less than infinity. The never iterated Terms are almost all terms. No, it is impossible if you only use a finite number of naturals. You need to use all of them. -- 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.