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

On 12.12.2024 17:15, Jim Burns wrote:

On 12/12/2024 4:07 AM, WM wrote:

The existence of a bridge implies that,
somewhere we can't see,
a size which cannot change by 1
changes by 1 to
a size which can change by 1

Every set can change by one element. No size is required and no size is possible if this is forbidden.

 

There must be
a continuous sequence of steps of height 1
from many elements to none.

 What you describe is many, not infinity.
 

Can you confirm this?

 For many, yes,
For infinity, never.
Having a continuous sequence of steps of height 1
from many elements to none
is what makes it finite.

It is needed by Cantors mappings.
Regards, WM