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

On 12/12/2024 2:11 PM, WM wrote:

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.

  Again, Cantor Pairing works with any natural number. Not just many of them... ALL of them. :^)