Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail
From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Thu, 31 Oct 2024 20:46:41 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <244b3e8e460c67e32d8b4d57670e4f881c1ac716@i2pn2.org>
References: <vb4rde$22fb4$2@solani.org>
	<d316baa3-de5b-4644-86ff-beacad9df107@att.net>
	<vfd97u$2jtos$1@dont-email.me>
	<276fc9df-619b-4a10-b414-a04a74aa7378@att.net>
	<vfe5d5$2olom$1@dont-email.me>
	<88e6a631-417a-4dd0-9443-a57116dcbd28@att.net> <vfg07k$1chpe$1@solani.org>
	<7a1e34df-ffee-4d30-ae8c-2af5bcb1d932@att.net>
	<vfgil3$38pn6$1@dont-email.me>
	<6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net>
	<vfgqoc$39o4h$2@dont-email.me>
	<acd4aad3-9447-45a9-bafd-f8b93d781827@att.net> <vfj3v0$1e96h$2@solani.org>
	<vfjg9h$3rjvp$2@dont-email.me> <vfkqlr$3fii$1@solani.org>
	<vfl8o7$3mnmt$4@i2pn2.org> <vflfq9$f82l$1@dont-email.me>
	<vflovl$1fpr2$3@solani.org> <vfm2m5$iasq$1@dont-email.me>
	<vfnmo3$ui6v$1@dont-email.me> <vfo5rf$1178s$1@dont-email.me>
	<vfoqqr$14lcc$2@dont-email.me> <vfotg8$15r9a$1@dont-email.me>
	<0e5fb47d-60f7-42bb-beec-4a9661c807da@tha.de> <vfqbrm$1gqu7$1@dont-email.me>
	<vft6n5$246cp$5@dont-email.me>
	<e783e5379005b0b94ca21ec2bb85e3006d12ab9e@i2pn2.org>
	<vg0enf$2pl1j$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit
Injection-Date: Thu, 31 Oct 2024 20:46:41 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="350486"; 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: 2857
Lines: 22

Am Thu, 31 Oct 2024 18:28:15 +0100 schrieb WM:
> On 31.10.2024 12:36, Richard Damon wrote:
>> On 10/30/24 7:53 AM, WM wrote:
> 
>>> NUF(0) = 0, NUF(1) = ℵo. Therefore NUF must grow but cannot grow by
>>> more than 1 at any point x of the real axis.
>> Because it grows BETWEEN points on the real axis from 0 to ℵo.
> I investigate its behaviour at single points.
At single points a function has a single value, not a jump. In the
case of NUF, that value is infinite everywhere except at 0.

>> Your problem is there isn't a "first" x > 0 above 0 to see it increase
> We do not see dark numbers but I can prove their existence
Like all your non-questions, this is not about UFs but rather the
continuity of the reals.

>>  so it can just jump to ℵo.
> But it cannot do so at a single point.
See above.

-- 
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.