Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail
From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Tue, 26 Nov 2024 12:50:25 -0500
Organization: i2pn2 (i2pn.org)
Message-ID: <c43fe07653eac2a9cc0432a6e289bfa1307613f8@i2pn2.org>
References: <vg7cp8$9jka$1@dont-email.me> <vhqrsu$1bb1f$2@dont-email.me>
 <vhqu9n$1bqev$1@dont-email.me> <vhs9v9$1krl6$3@dont-email.me>
 <vhshas$1n123$1@dont-email.me> <vhsi31$1n2ck$1@dont-email.me>
 <vhsi7e$1n4sl$1@dont-email.me> <vhsit2$1n52r$1@dont-email.me>
 <vht7o6$1qo7j$1@dont-email.me> <vhtb3o$1r2tr$1@dont-email.me>
 <0d6d06a888e15ed2042aca8ec7e6ebb93590b7bc@i2pn2.org>
 <vhtgec$1rdku$3@dont-email.me>
 <8a2aedd8383a84ceef2fd985ac0bf529e2a0eccf@i2pn2.org>
 <vhuv94$25ro0$1@dont-email.me>
 <be7b74a5d83b8ceebd1ec380bb57ff4190ec0cae@i2pn2.org>
 <vhv61v$25uqa$5@dont-email.me>
 <b75deca6b1a0631255cf1402ee83db2b266edd22@i2pn2.org>
 <vhvnvc$2aq7k$1@dont-email.me>
 <3fe6ef31f562e0ddf598de46cf864986ca909687@i2pn2.org>
 <vi1pul$2n5v3$1@dont-email.me>
 <9cb8aec671200bb6d71582fd607b876b7ec4c83a@i2pn2.org>
 <vi43br$3cllo$3@dont-email.me> <vi4ak0$3e1nc$1@dont-email.me>
 <vi4b5d$3dq30$1@dont-email.me>
 <40292abc147fee5a7bdd264b69d34ddf2061e59d@i2pn2.org>
 <vi4upt$3hg8t$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 26 Nov 2024 17:50:25 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="50263"; mail-complaints-to="usenet@i2pn2.org";
	posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg";
User-Agent: Mozilla Thunderbird
In-Reply-To: <vi4upt$3hg8t$1@dont-email.me>
Content-Language: en-US
X-Spam-Checker-Version: SpamAssassin 4.0.0
Bytes: 2874
Lines: 29

On 11/26/24 11:59 AM, WM wrote:
> On 26.11.2024 16:06, Richard Damon wrote:
>> On 11/26/24 6:24 AM, WM wrote:
>>> On 26.11.2024 12:15, FromTheRafters wrote:
>>>> WM pretended :
>>>
>>>>> It is impossible to change |ℕ| by 1 or more.
>>>>
>>>> Right, sets don't change. The set {2,3,4,...} does not equal the set 
>>>> of natural numbers, but |{2,3,4,...}| does equal |N|.
>>>>
>>> Then your |N| is an imprecise measure. My |N| is precise.
>>> |{2,3,4,...}| = |N| - 1 =/= |N| .
> 
>> Then your measure is incorrect, as by the DEFINITION of measures of 
>> infinite sets, all countably infinite sets have the same "measure".
> 
> That is one special definition of a very imprecise measure. We can do 
> better.
> 
> Regards, WM
> 

But maybe you can't and get something consistant.

Sorry, you are just showing that you don't know what you are doing, 
because your mind just can't handle the actual concept of an actually 
infinite set.