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

On 07.01.2025 10:51, FromTheRafters wrote:

First several von Neumann ordinals

v. Neumann was bright but not bright enough.
Why should we use the nomenclature of his disproven theory?

 0     =     {}     =     ∅
1     =     {0}     =     {∅}
2     =     {0,1}     =     {∅,{∅}}
3     =     {0,1,2}     =     {∅,{∅},{∅,{∅}}}
4     =     {0,1,2,3}     =     {∅,{∅},{∅,{∅}},{∅,{∅},{∅,{∅}}}}
=====================================
 Notice they start at zero (emptyset)

It would be more important to reach the full set.
Regards, WM