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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Thu, 28 Nov 2024 15:17:49 +0100
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On 28.11.2024 14:01, Richard Damon wrote:
> On 11/28/24 7:20 AM, WM wrote:
>> On 27.11.2024 22:20, Richard Damon wrote:
>>> On 11/27/24 3:09 PM, WM wrote:
>>
>>>> It is completed! Every number 10n starts wit a black hat.
>>>
>>> Right, and it gives that hat to n, so every number gets one.
>>>
>>> And, 10n will get back a hat from 100n, so it still have one at the end.
>>>
>> It seems so, but that is impossible. Up to every 10n, the interval 1, 
>> 2, 3, ... 10n has a covering of 1/10 only. The limit of this sequence 
>> is 1/10 too. And since this is true for all natural numbers, where 
>> should additional hats come from?

> No, it is possilbe,

It is impossible that the sequence 1/10, 1/10, 1/10, ... has another 
limit than 1/10.

Regards, WM