Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!i2pn.org!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?
Date: Wed, 25 Sep 2024 16:39:47 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <57dcb3994f147ebe5799308cad2ae1c8ac57e891@i2pn2.org>
References: <vb4rde$22fb4$2@solani.org>
	<4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org>
	<vc1uu8$u3ec$9@dont-email.me> <vc2gfb$130uk$1@dont-email.me>
	<vc44uu$1gc40$1@dont-email.me>
	<c94d6140f000f75c5e95e1acc785ebff9894a18b@i2pn2.org>
	<vc7dk3$2b1g9$2@dont-email.me>
	<1aabd037-86bc-47bd-b402-f6b29c5c33e4@att.net> <vcehl6$2boc$3@dont-email.me>
	<f1d14b16-2c12-4cfb-b7f5-c58cc5724f94@att.net> <vcguvh$hi5j$1@dont-email.me>
	<b7eb4682-30db-4b37-90b4-0135e995cfc1@att.net>
	<vckekf$1709o$1@dont-email.me>
	<298dcb6f-5f58-48b6-80e3-34260bf721f8@att.net>
	<vcn8n8$1nfqa$1@dont-email.me>
	<283c426f-ab1c-4ef0-a06c-1bf7d28a2cfa@att.net>
	<vcpo5e$29qe5$1@dont-email.me>
	<6b50a171-8127-4ce6-9bd3-2dc213638e9b@att.net>
	<vcroj3$2nfvb$2@dont-email.me>
	<519db81b-4a4d-417d-8cd2-7fef5a342efd@att.net>
	<6704347e-2f99-40f2-887f-de93f6fdd659@tha.de>
	<d10dbfab-9235-4fcd-a892-b407029e8f1d@att.net>
	<8b3e744d-3419-40c3-a7c6-fe59edd528a9@tha.de>
	<851e9929-8ab7-49d1-b478-e65c61fba2e3@att.net>
	<vd1bis$3njbp$7@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit
Injection-Date: Wed, 25 Sep 2024 16:39:47 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="3451800"; 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: 3201
Lines: 30

Am Wed, 25 Sep 2024 17:51:56 +0200 schrieb WM:
> On 25.09.2024 06:59, Jim Burns wrote:
>  > On 9/24/2024 4:37 PM, WM wrote:
> 
>  >>> Thus increasing NUF(x) from 0 to infinity WITH intermediate steps
>  >>> is gibberish,
>  > The correct (different) alternative is: infinitely.many
>  > unit.fractions at one point per unit.fraction,
> That means NUF increases by 1 at every point occupied by a unit
> fraction.
Thus it increases to infinity at every positive point.

>  > with infinitely.many points in all.
> NUF(x) distinguishes all points.
How does it distinguish dark points?

>  > Although no more than finitely.many points can be stepped.through
>  > end.to.end we don't require these points to do more than _exist_
>  > More.than.finitely.many can _exist_
> Yes, but they are dark.
> NUF increases. At no point it can increase by more than 1.
Right, and there is no point "next to" 0, so it doesn't actually
"increase" by your not-definition at 0.

> Even if most mathematicians are far too stupid to understand this, I
> will repeat it on and on, maybe that sometime some will get it.
You should try explaining it a different way.

-- 
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.