Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder2.eternal-september.org!news.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
Date: Sat, 16 Nov 2024 22:28:08 +0100
Organization: A noiseless patient Spider
Lines: 25
Message-ID: <vhb2p9$77d7$1@dont-email.me>
References: <vg7cp8$9jka$1@dont-email.me>
 <6d9f3b10-47ad-459c-9536-098ce91f514b@att.net> <vgni02$3osmc$1@dont-email.me>
 <16028da0-456b-47ad-8baa-7982a7cbdf10@att.net> <vgpupb$abrr$2@dont-email.me>
 <fc4df00f-96d1-402f-89d2-739cb8ddd863@att.net> <vgsg04$t7fk$1@dont-email.me>
 <1fca3a53-1cb4-4fd2-85b6-85e9b69ca23b@att.net> <vgtpmo$153hf$6@dont-email.me>
 <d17f7542-986e-4897-89b4-dccaf11d5311@att.net> <vh00jj$1m6co$1@dont-email.me>
 <97304048-24f5-4625-82a7-d17427f2f6e3@att.net> <vh0hta$1pmql$1@dont-email.me>
 <65febd06-662b-4fa4-9aa8-f7353a79a110@att.net> <vh2k9p$29cql$1@dont-email.me>
 <157a949d-6c19-4693-8cee-9e067268ae45@att.net> <vh35nd$2d81g$1@dont-email.me>
 <cb0c9917-09a9-45f0-8fe9-cd059fa82dde@att.net> <vh4itg$2o3vu$1@dont-email.me>
 <8165b44b-1ba5-429d-8317-0b043b214b53@att.net> <vh76bi$3bnde$1@dont-email.me>
 <d90452a5-965b-443f-9146-96cdf9b3906c@att.net> <vh8ft0$3jqb5$3@dont-email.me>
 <vh8g5e$3juug$1@dont-email.me> <vh8otd$3lhlt$2@dont-email.me>
 <vh92uh$3n2s6$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Sat, 16 Nov 2024 22:28:10 +0100 (CET)
Injection-Info: dont-email.me; posting-host="f0afa40d0ce39769794fe7090928fec0";
	logging-data="236967"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1+aRdLAqeGZSU7jzsisTDd55KZODZ3h604="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:fxTHiB6GIkxFPjRHB0EUw/0/GyE=
Content-Language: en-US
In-Reply-To: <vh92uh$3n2s6$1@dont-email.me>
Bytes: 2789

On 16.11.2024 04:18, Moebius wrote:

> Taking out the "infinite amount of H20 molecules" numerated by 1, 2, 3, 
> ... would lead to an EMPTY pool.

Although this can only be done collectively. Individually it is 
impossible, even if every take lasted only half the time of the previous 
take.
> 
> On the other hand, taking out the "infinite amount of H20 molecules" 
> numerated by 2, 4, 6, ... would not drain the pool. :-P It would still 
> be filled (sort of) with infinitely many H20 molecules. :-P
> 
> Be aware if the infinite, man!

Be aware of logic! If you assume the ordered set of natural numbers

1-2-3-4-5-6-7-...

and take out the even numbers, then you obtain that is half the set

1- -3- -5- -7-... .

Regards, WM