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: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Tue, 19 Nov 2024 11:44:48 -0500
Organization: Peripheral Visions
Lines: 11
Message-ID: <vhifa3$1u60h$1@dont-email.me>
References: <vg7cp8$9jka$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> <vhb1is$6hbv$2@dont-email.me> <vhb1mu$6hbv$4@dont-email.me> <vhb32t$7ese$1@dont-email.me> <vhch7n$hge9$2@dont-email.me> <vhcieh$jjk5$1@dont-email.me> <vhcjg5$hdd4$3@dont-email.me> <vhckkh$k32g$1@dont-email.me> <vhcp0r$hge9$6@dont-email.me> <vhd7d7$nt37$1@dont-email.me> <vhd9lq$obb0$1@dont-email.me> <vhdl0k$qltl$1@dont-email.me> <vhfqcv$1adld$1@dont-email.me> <vhfso7$1bik6$1@dont-email.me> <vhg0h8$1adlc$4@dont-email.me> <vhgd9j$1eq8t$1@dont-email.me> <vhgebm$1eu67$2@dont-email.me> <50333708eb8aac45243baf9fb69479379b783b63@i2pn2.org> <vhib06$1sjsn$3@dont-email.me>
Reply-To: erratic.howard@gmail.com
MIME-Version: 1.0
Content-Type: text/plain; charset="utf-8"; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 19 Nov 2024 17:44:52 +0100 (CET)
Injection-Info: dont-email.me; posting-host="c65860b81c1be1d790afb6c2f66366c7";
	logging-data="2037777"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/HTyMaru6YiTjGPA0+qUpm9OLWgQWfTWA="
Cancel-Lock: sha1:FI20vDkf+l1qY3q6ghHy5lbTvbo=
X-ICQ: 1701145376
X-Newsreader: MesNews/1.08.06.00-gb
Bytes: 2359

on 11/19/2024, WM supposed :
> On 19.11.2024 13:05, joes wrote:
>> Am Mon, 18 Nov 2024 23:16:22 +0100 schrieb WM:
>
>> |N\{0}| = |N| = Aleph_0
>> And |N\{2}| = Aleph_0.
>
> Hence ℵo cannot describe the number of elements.

So, a notion of set size still works quite well. Maybe that is why the 
definitions are the way that they are, because they work.