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

On 11/4/24 5:47 AM, WM wrote:

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.

Unless "nearest" isn't a thing because things are dense.

 

Therefore the
point has no nearest interval.

 That is an unfounded assertions and therefore not accepted.

No, it is a PROVEN statement, therefor true.
Your concept of "Nearest" is the unfounded assumption, based on incorrect logic and thus is not accepted.

 Regards, WM