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

On 12/1/24 11:50 AM, WM wrote:

On 01.12.2024 13:14, Richard Damon wrote:

On 12/1/24 5:55 AM, WM wrote:

 

The relative covering for every interval is 1/10, independent of the configuration of the hats available inside. The limit of this sequence is 1/10.

>
Which just shows that you are using naive mathematics that is just inconsistant.

 Mathematics is consistent, set theory is not.

But Mathematics is based on set theory, so your logic is inconsistant.
Now, YOUR "naive" mathematics has shown that it becomes inconsistant if you allow it to try to deal with infinite sets, just as naive set theory was found to become inconsistant if it started to deal with sets described in relationship to themselves.
Just shows YOUR problems, not a problem with modern set theory.

 Regards, WM