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: Fri, 20 Sep 2024 19:02:07 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <4223ecd70642adabfbea1ccf49d37ffdeec7a930@i2pn2.org>
References: <vb4rde$22fb4$2@solani.org> <vbs9v8$3l368$3@dont-email.me>
	<405557f7289631d63264c712d137244c940b9926@i2pn2.org>
	<vbsroa$3mvi7$2@dont-email.me> <vbt0fs$3pr1d$1@dont-email.me>
	<vbt15n$3qapk$1@dont-email.me> <btbO__HYVIMPfoOcmXp4_whV8-8@jntp>
	<vbums6$8kdn$1@dont-email.me> <vbv9i7$bpjh$2@dont-email.me>
	<13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org>
	<vc1mfe$u3ec$2@dont-email.me>
	<4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org>
	<vc1uu8$u3ec$9@dont-email.me> <vc2gfb$130uk$1@dont-email.me>
	<vc44uu$1gc40$1@dont-email.me>
	<ad6a5df606f73006dd256dc53c948b7a8179aea1@i2pn2.org>
	<vc7dtt$2b1g9$3@dont-email.me>
	<87414b50e6265e6e443c4486913201749f2696ed@i2pn2.org>
	<vcehad$2boc$1@dont-email.me>
	<5b130929c7f56ea83246b7f6534ba5fae4598c62@i2pn2.org>
	<vch1i5$hvkm$1@dont-email.me>
	<2551da6710975930f68b61f8e76ea6990411168b@i2pn2.org>
	<vch7ce$ip4a$2@dont-email.me> <cab71715-970a-4d56-aec0-e09e3f330716@att.net>
	<vckeqk$1709n$4@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit
Injection-Date: Fri, 20 Sep 2024 19:02:07 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="2788744"; 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: 2737
Lines: 24

Am Fri, 20 Sep 2024 20:27:32 +0200 schrieb WM:
> On 19.09.2024 21:15, Jim Burns wrote:
>> On 9/19/2024 9:02 AM, WM wrote:
>>> On 19.09.2024 13:44, Richard Damon wrote:
>>>> On 9/19/24 7:22 AM, WM wrote:
>> 
>>>>> There are infinitely many points with no extension filling the
>>>>> space.
>>>> Right,
>>>> and none "next" to another, because there is always another in
>>>> between them.
>>> "always another" is potential infinity.
>> For each finite ordinal ξ,
>> always another finite ordinal ξ∪{ξ} > ξ exists.
> Potential infinity.
The other ordinal exists regardless.

>> The set ω of all and only finite ordinals holds all and only finite
>> ordinals.
> And there is no gap before ω.
There is an infinite gap, if you will.

-- 
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.