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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 18:50:02 +0100
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On 28.11.2024 18:17, Richard Damon wrote:
> On 11/28/24 11:09 AM, WM wrote:

>>> The properties of the infinte set is not just the properties of the 
>>> series of the finite sets that approach it.
>>
>> Maybe. In this case it is precisely this.
>>
>> Look: If for all intervals 1, 2, 3, ..., n the covering is 1/10, then 
>> there are no natnumbers outside of all intervals and there are no hats 
>> outside of all intervals. Therefore only a fool could believe that 
>> infinitely many black hats were supplied after all. If you wish to be 
>> a fool you may claim that. My students would never come down that much.
> 
> It is sort of like trying to figure out what 0^0 is.

No. If for all intervals 1, 2, 3, ..., n the covering is 1/10, then 
there are no natnumbers outside of all intervals and there are no hats
outside of all intervals.

Regards, WM