Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : mikko.levanto (at) *nospam* iki.fi (Mikko)
Groupes : sci.logicDate : 04. Nov 2024, 11:31:46
Autres entêtes
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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. Between that point an an interval there are rational
numbers and therefore other intervals, at least some of which do not
cover the point and don't overlap with the interval. Therefore the
point has no nearest interval.
-- Mikko
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