Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

On 11.11.2024 12:15, Mikko wrote:

On 2024-11-10 10:54:02 +0000, WM said:
 The measure of the set of all those intervals is infinite.

The density or relative measure over the complete real axis is √2/5. By shifting intervals this density cannot grow. Therefore the intervals cannot cover the real axis, let alone infinitely often.

Between the intervals J(n) and (Jn+1) there are infinitely many rational
and irrational numbers but no hatural numbers.
>

Therefore infinitely many natural numbers must become centres of intervals, if Cantor was right. But that is impossible.
Regards, WM