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

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

On 04.11.2024 13:28, Richard Damon wrote:

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

 

I said the nearest one. There is no interval nearer than the nearest one.

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

 The intervals cannot be dense because they have a length of less than 3 in an infinite space. The rationals are dense. This proves that they are not countable.>>

Not at all. You just don't understand how infinity works.
Cantor showed how to count the Rationals in a countable infinity.
He showed that the Reals Could not be counted, not even a finite length line of them.

Therefore the
point has no nearest interval.

>
That is an unfounded assertions and therefore not accepted.

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

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

No, you describe an inconsisten mathematics, which has blown up in your face and blineded you to the reality of the infinite numbers.

 Regards, WM