Path: ...!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? (infinitary)
Date: Sun, 20 Oct 2024 23:04:50 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <ea5dfe65e55b87e9bfcd8f4aa1f8110d68570ac9@i2pn2.org>
References: <vb4rde$22fb4$2@solani.org> <ve64kl$2m0nm$4@dont-email.me>
	<ve66f3$19d5$2@news.muc.de> <ve683o$6c2o$1@solani.org>
	<ve6a23$19d5$3@news.muc.de> <ve6c3b$6esq$2@solani.org>
	<ve6kl1$207d$1@news.muc.de> <ve96jj$38qui$2@dont-email.me>
	<ve97c7$2f64$1@news.muc.de> <ve97qj$38qui$4@dont-email.me>
	<3f5fcf13171337f1c3d2ef84cc149be327648451@i2pn2.org>
	<veecr3$7rap$1@dont-email.me>
	<97b84c07aa526903a0788584f7f7ae9121f8b81f@i2pn2.org>
	<veirkn$desj$2@solani.org>
	<db221d267ae4b956cd0818c9b5ccc0311df97d1e@i2pn2.org>
	<60f1280e-e226-4314-8eca-da5410be8ca3@tha.de>
	<96a7aa944085e76faed69c8db9a8dca599e1a159@i2pn2.org>
	<vejhcb$ditg$1@solani.org> <vek5s2$1c3q2$2@dont-email.me>
	<ventji$255vi$3@dont-email.me>
	<ea59043e8e605277407d08904c020698a029fe0f@i2pn2.org>
	<7d314712-c5b5-4dfc-af61-3885ccf1c771@tha.de>
	<cd4d833b215a4d2ab4eef73c063cb7057cf89185@i2pn2.org>
	<verm1c$2s66m$1@dont-email.me>
	<bdf2bb0c359a21ce264dde096855577d2fa64d47@i2pn2.org>
	<f3eef848-e2d4-49e0-871d-661f91d3f0e0@tha.de>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit
Injection-Date: Sun, 20 Oct 2024 23:04:50 -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: 2884
Lines: 21

Am Sat, 19 Oct 2024 10:23:05 +0200 schrieb WM:
> On 18.10.2024 03:26, Richard Damon wrote:
>> On 10/17/24 2:46 PM, WM wrote:
> 
>>> When doubling natural numbers we obtain even numbers which have not
>>> been doubled.
>> Then your "Actual Infinity" wasn't actually infinte.
>> As it must contain *ALL* the Natural Numbers to be that set.
> Therefore the double numbers are not natural but infinite.
Then half of an infinite number is finite?

>>> 2n > n is always true, in finite and in infinite sets.
>> In FINITE or ORDINAL systems, and there 2n will be in the same actually
>> infinite set as n.
> That is not possible if all natural numbers are doubled. The result
> covers the interval (0, ω*2) twice as large as the original one (0, ω).
This destroys the ordering. If m>n, then 2m>2n.

>> In Infinte Cardinal spaces (like Aleph_0 is in) 2n == 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.