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

On 05.11.2024 04:12, Richard Damon wrote:

On 11/4/24 11:55 AM, WM wrote:

Cantor showed how to count the Rationals in a countable infinity.

No. Then the real axis would have measure zero.

 He showed that the Reals Could not be counted, not even a finite length line of them.

That is the nonsense believed by matheologians. He assumes a fixed set ℕ. But if Hilbert's hotel was real, then always a diagonal number could be enumerated by inserting it into the list at line no. 1.

 

Therefore the
point has no nearest interval.

>
That is an unfounded assertions and therefore not accepted.

>
No, it is a PROVEN statement, therefor true.

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It is proven in an inconsistent theory. I describe the true mathematics.

 No, you describe

I describe that a point between two finite intervals has two finite intervals around it. Even this simple conclusion must be denied by the believers in matheology.
Regards, WM