Re: Incompleteness of Cantor's enumeration of the rational numbers

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Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : mikko.levanto (at) *nospam* iki.fi (Mikko)
Groupes : sci.logic
Date : 21. Nov 2024, 10:21:10
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On 2024-11-04 10:47:39 +0000, WM said:

On 04.11.2024 11:31, Mikko wrote:
On 2024-11-04 09:55:24 +0000, WM said:
 
On 03.11.2024 23:18, Jim Burns wrote:
 
There aren't any neighboring intervals.
Any two intervals have intervals between them.
 That is wrong. The measure outside of the intervals is infinite. Hence there exists a point outside. This point has two nearest intervals
 No, it hasn't.
 In geometry it has.
Depends on the set of intervals. There is no nearest from Cantor's set.
And "interval" is not a term of geometry.
--
Mikko

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