Path: ...!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail
From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Tue, 31 Dec 2024 08:56:48 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <6d7fb8f4346eb09ea7ccdff45e8ff3d0c4a45ab0@i2pn2.org>
References: <vg7cp8$9jka$1@dont-email.me> <vjhp8b$3gjbv$1@dont-email.me>
	<dc9e7638be92c4d158f238f8c042c8559cd46521@i2pn2.org>
	<vjjg6p$3tvsg$1@dont-email.me>
	<c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org>
	<vjka3b$1tms$3@dont-email.me>
	<e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org>
	<vjmse3$k2go$2@dont-email.me>
	<069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org>
	<vjooeq$11n0g$2@dont-email.me>
	<2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org>
	<vjrfcc$1m1b2$1@dont-email.me>
	<75921cc1f17cdb691969a99e666f237cd09c0b09@i2pn2.org>
	<vjsrp1$1tqvv$2@dont-email.me>
	<25729298b142c60d5b245231984119d42d4ac089@i2pn2.org>
	<vko14j$53b6$3@dont-email.me> <vko1vp$5mmo$1@dont-email.me>
	<vko2a3$5mmo$3@dont-email.me> <vkpkbr$fnhj$2@dont-email.me>
	<vkraki$tpqs$3@dont-email.me> <vkshm4$17741$1@dont-email.me>
	<vksjeq$17bf0$1@dont-email.me> <vktm9b$1hmvu$1@dont-email.me>
	<09ef32dfb3944d321e15e1383820166a2082d5cb@i2pn2.org>
	<vkv4p3$1qhgq$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 31 Dec 2024 08:56:48 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="1297840"; 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: 2831
Lines: 20

Am Mon, 30 Dec 2024 22:53:38 +0100 schrieb WM:
> On 30.12.2024 21:28, joes wrote:
>> Am Mon, 30 Dec 2024 09:40:11 +0100 schrieb WM:
> 
>>> FISONs do not grow by unioning them. All FISONs and their unions stay
>>> below 1 % of ℕ.
>> Even better, they are finite (but they do grow).
> They do grow but will never surpass 1 % of ℕ.
>> 
>>> Proof: Every FISON that is multiplied by 100 remains a FISON that can
>>> be multiplied by 100 without changing this property.
>> Do you mean the set of numbers less than 100n? I thought you didn’t
>> believe in the closure of N under multiplication.
> The collection of natural numbers is closed under multiplication.In fact
> it will ever reach let alone surpass any definable fraction of ℕ.
WTF? N *is* the set(!) of natural numbers, and it is infinite.
Now what is the multiplication of a FISON?

-- 
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.