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

On 19.12.2024 11:38, Mikko wrote:

On 2024-12-18 11:25:25 +0000, WM said:
>

Mathematics says the covering by intervals is 3/oo. Therefore the ratio between not covered part and covered part of the positive real axis is oo/3. That implies an average of oo/3 which in some locations must be realized.

 Yes.
 

That proves the existence of distances between next intervals much larger than the finite lengths of the intervals.

 No. There is no next interval because there are thore intervals nearer.

oo/3 is the average ratio of distances of intervals to lengths of intervals. If there were always nearer intervals, then the average would be smaller.

 

It excludes density of intervals.

 No, it does not.
 

Can't you calculate even such simple exercizes?
Regards, WM