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: Tue, 17 Dec 2024 11:37:25 +0100
Organization: A noiseless patient Spider
Lines: 21
Message-ID: <vjrk95$1m9gg$1@dont-email.me>
References: <vg7cp8$9jka$1@dont-email.me> <vikh9k$3cua3$1@dont-email.me>
 <viml28$6j3$1@dont-email.me> <0b1bb1a1-40e3-464f-9e3d-a5ac22dfdc6f@tha.de>
 <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org>
 <vj6vhh$elqh$2@dont-email.me>
 <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org>
 <vj9s4i$11a3p$1@dont-email.me> <vjam6d$1700v$1@dont-email.me>
 <vjc65g$1i9vk$3@dont-email.me> <vjf7kl$2s7e5$1@dont-email.me>
 <vjfmq3$2upa9$3@dont-email.me>
 <c6b624cb0b1b55d54aab969ee5b4e283ec7be3cd@i2pn2.org>
 <vjhp8b$3gjbv$1@dont-email.me>
 <dc9e7638be92c4d158f238f8c042c8559cd46521@i2pn2.org>
 <vjjg6p$3tvsg$1@dont-email.me>
 <c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org>
 <vjka3b$1tms$3@dont-email.me>
 <e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org>
 <vjmse3$k2go$2@dont-email.me>
 <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org>
 <vjooeq$11n0g$2@dont-email.me>
 <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org>
 <vjrfcc$1m1b2$1@dont-email.me> <vjrigi$1mhvl$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Tue, 17 Dec 2024 11:37:25 +0100 (CET)
Injection-Info: dont-email.me; posting-host="4f4ec8624b25ff621c88d1eb422844a5";
	logging-data="1779216"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1+z6pnFdbgOcNa3twNz1L9WJ7RrZNUqhKg="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:rXAZXXFV5UEdGJQiZy6+g4/kda8=
Content-Language: en-US
In-Reply-To: <vjrigi$1mhvl$1@dont-email.me>
Bytes: 2597

On 17.12.2024 11:07, FromTheRafters wrote:
> WM wrote :
>> On 17.12.2024 00:52, Richard Damon wrote:
>>> On 12/16/24 3:30 AM, WM wrote:
>>>> On 15.12.2024 21:21, joes wrote:
>>
>>>>>> Therefore we use all [1, n].
>>>>> Those are all finite.
>>>>
>>>> All n are finite.
>>>
>>> But N isn't, so the sets [1, n] aren't what the bijection is defined on.
>>
>> Every element is the last element of a FISON [1, n].
> 
> Why does your FISON look like a real interval?

Originally I had used unit intervals [n, n+1] of real intervals (0, 
10n]. The argument remains the same.

Regards, WM