Path: ...!eternal-september.org!feeder3.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
 (extra-ordinary)
Date: Thu, 26 Dec 2024 18:18:11 +0100
Organization: A noiseless patient Spider
Lines: 36
Message-ID: <vkk34k$32ptp$1@dont-email.me>
References: <vg7cp8$9jka$1@dont-email.me> <vjss56$1tr00$2@dont-email.me>
 <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org>
 <vjv6fb$2dujf$2@dont-email.me>
 <b0c7449413fec43bc18e8d2d67da1c779a350bc2@i2pn2.org>
 <vk1cad$2srst$1@dont-email.me>
 <ceaaf003457afd2e381c8f115a4e691611162ffe@i2pn2.org>
 <vk3g0l$3cjvc$3@dont-email.me> <vk3lv1$3e9se$1@dont-email.me>
 <vk3vh6$3g0a3$1@dont-email.me> <vk4jfi$3k04r$4@dont-email.me>
 <d4d38bb75acc471a684759922b8f8d32707855a8@i2pn2.org>
 <vk6uu7$4f7v$1@dont-email.me>
 <cdd51ad73c172f40f3212801d7afd9eef8e60d47@i2pn2.org>
 <vk936n$khia$1@dont-email.me>
 <787067e5de3c455cb57389315b6821e96bcf86af@i2pn2.org>
 <f713f771-6cdd-44bb-90ab-7300d739f84b@tha.de>
 <1b6f89e7c35e4c9674af5a480e4bab6cb72e0915@i2pn2.org>
 <vkbalq$14tg7$2@dont-email.me>
 <733ce219e9d2422859035e5094a7b3e92eea9c47@i2pn2.org>
 <vke3bi$1q36j$2@dont-email.me>
 <93150cff37c76c7c9f6c66d8ffd13dc8bc5c477f@i2pn2.org>
 <vkjf3v$2umsm$2@dont-email.me>
 <d5a792258cc8380190a60c35cc1c15509cee3e2d@i2pn2.org>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Thu, 26 Dec 2024 18:18:12 +0100 (CET)
Injection-Info: dont-email.me; posting-host="26a2c5c5f7b2556246a56be7e13f3cc0";
	logging-data="3237817"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX19b2iSpTUIK9/CrlEDQK9NNAGM+qVYTQqY="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:BySEGcoUp5tvhZUGU/SJmOGB0GM=
Content-Language: en-US
In-Reply-To: <d5a792258cc8380190a60c35cc1c15509cee3e2d@i2pn2.org>
Bytes: 3175

On 26.12.2024 13:55, Richard Damon wrote:
> On 12/26/24 6:36 AM, WM wrote:
>> On 24.12.2024 15:06, Richard Damon wrote:
>>> On 12/24/24 5:45 AM, WM wrote:
>>>> On 23.12.2024 15:32, Richard Damon wrote:
>>>>> On 12/23/24 4:31 AM, WM wrote:
>>>>
>>>>>>>> No, I do as Cantor did.
>>>>>>
>>>>>>> No, you do what you THINK Cantor did,
>>>>>>
>>>>>> Show an n that I do not use with all intervals [1, n].
>>>>
>>>>> The LAST one, which you say must exist to use your logic.
>>>>
>>>> I do what Cantor did. There is no last one. You cannot show an n 
>>>> that I do not use. There is none. Therefore all your arguing breaks 
>>>> down.
>>>>
>>> No, you do NOT do what Cantor did,
>>
>> What n do I not use?
>>
> The LAST one, that completes the set.

Cantor misses it. Therefore I do not use it either.

> The fact that after any finite number of removals, there are still 
> elements does not mean that when you remove *ALL* the elements there 
> will still be some left.#

This fact shows that "all" cannot be removed individually. They can only 
be removed collectively. Proof of dark numbers.

Regards, WM