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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: Sun, 15 Dec 2024 20:31:51 +0100
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On 15.12.2024 13:52, Richard Damon wrote:
> On 12/13/24 12:00 PM, WM wrote:
>> On 13.12.2024 13:11, Richard Damon wrote:
>>
>>> Note, the pairing is not between some elements of N that are also in 
>>> D, with other elements in N, but the elements of D and the elements 
>>> on N.
>>
>> Yes all elements of D, as black hats attached to the elements 10n of 
>> ℕ, have to get attached to all elements of ℕ. There the simple shift 
>> from 10n to n (division by 10) is applied.  >
> 
> No, the black hats are attached to the element of D, not N.

The black hats _are_ the element of D.
> 
> But we aren't dealing with intervals of [1, n] but of the full set.

All intervals together are the full set.

Regards, WM