Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logicDate : 04. Nov 2024, 11:47:19
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <03b90d6c-fff1-411d-9dec-1c5cc7058480@tha.de>
References : 1 2 3 4
User-Agent : Mozilla Thunderbird
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.
Between that point an an interval there are rational
numbers and therefore other intervals
I said the nearest one. There is no interval nearer than the nearest one.
Therefore the
point has no nearest interval.
That is an unfounded assertions and therefore not accepted.
Regards, WM
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