Article <vlei6e$14nve$1@dont-email.me>

Warning: mysqli::__construct(): (HY000/1203): User howardkn already has more than 'max_user_connections' active connections in D:\Inetpub\vhosts\howardknight.net\al.howardknight.net\includes\artfuncs.php on line 21
Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connections
Warning: mysqli::query(): Couldn't fetch mysqli in D:\Inetpub\vhosts\howardknight.net\al.howardknight.net\index.php on line 66
Article <vlei6e$14nve$1@dont-email.me>

Deutsch English Français Italiano

<vlei6e$14nve$1@dont-email.me>

View for Bookmarking (what is this?)
Look up another Usenet article

Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail
From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Sun, 5 Jan 2025 19:14:38 +0100
Organization: A noiseless patient Spider
Lines: 23
Message-ID: <vlei6e$14nve$1@dont-email.me>
References: <vg7cp8$9jka$1@dont-email.me>
 <a17eb8b6-7d11-4c59-b98c-b4d5de8358ca@att.net> <vk7dmb$7mh2$2@dont-email.me>
 <b72490c1-e61a-4c23-a3a5-f624b2c084e4@att.net> <vk8tbq$j9h1$1@dont-email.me>
 <bd7dfdc7-6471-4fe6-b078-0ca739031580@att.net> <vklumc$3htmt$1@dont-email.me>
 <c03cf79d-0572-4b19-ad92-a0d12df53db9@att.net> <vkp0fv$b7ki$2@dont-email.me>
 <b125beff-cb76-4e5a-b8b8-e4c57ff468e9@att.net> <vkr8j0$t59a$1@dont-email.me>
 <98519289-0542-40ce-886e-b50b401ef8cf@att.net> <vksicn$16oaq$7@dont-email.me>
 <8e95dfce-05e7-4d31-b8f0-43bede36dc9b@att.net> <vl1ckt$2b4hr$1@dont-email.me>
 <53d93728-3442-4198-be92-5c9abe8a0a72@att.net> <vl5tds$39tut$1@dont-email.me>
 <9c18a839-9ab4-4778-84f2-481c77444254@att.net> <vl87n4$3qnct$1@dont-email.me>
 <8ef20494f573dc131234363177017bf9d6b647ee@i2pn2.org>
 <vl95ks$3vk27$2@dont-email.me> <vl9ldf$3796$1@dont-email.me>
 <vlaskd$cr0l$2@dont-email.me> <vlc68u$k8so$1@dont-email.me>
 <vldpj7$vlah$7@dont-email.me>
 <a8b010b748782966268688a38b58fe1a9b4cc087@i2pn2.org>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Sun, 05 Jan 2025 19:14:39 +0100 (CET)
Injection-Info: dont-email.me; posting-host="45315b1acf114f5d7114105fe0d876d0";
	logging-data="1204206"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/09XS5BuRZ69R5AZRWCNhfBEWKzNsna3c="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:qXA0fwWQEOH0R9BGtTwCJOi/V+0=
Content-Language: en-US
In-Reply-To: <a8b010b748782966268688a38b58fe1a9b4cc087@i2pn2.org>

On 05.01.2025 19:03, joes wrote:
> Am Sun, 05 Jan 2025 12:14:47 +0100 schrieb WM:
>> On 04.01.2025 21:38, Chris M. Thomasson wrote:
>>
>>> For me, there are infinitely many natural numbers, period... Do you
>>> totally disagree?
>> No. There are actually infinitely many natural numbers. All can be
>> removed from ℕ, but only collectively ℕ \ {1, 2, 3, ...} = { }.
>> It is impossible to remove the numbers individually ∀n ∈ ℕ_def: |ℕ \ {1,
>> 2, 3, ..., n}| = ℵo.
> Well yes, the size of N is itself not a natural number. Big surprise.
> 

ℕ cannot be covered by FISONs, neither by many nor by their union. If ℕ 
could be covered by FISONs then one would be sufficient. But for all we 
have: Extension by 100 is insufficient. Every union of FISONs which stay 
below 1 % stays below 1 %.

1 % is an abbreviation for: Extension by a factor of 100 does not cover ℕ.

Regards, WM

Regards, WM