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

On 1/4/25 3:42 AM, WM wrote:

 

On 1/3/2025 2:48 PM, WM wrote:

On 03.01.2025 19:46, Jim Burns wrote:

>
All finite.ordinals removed from
the set of each and only finite.ordinals
leaves the empty set.

 But removing every ordinal that you can define (and all its predecessors) from ℕ leaves almost all ordinals in ℕ.∀n ∈ ℕ_def: |ℕ \ {1, 2, 3, ..., n}| = ℵo
 Regards, WM
 

And what keep you from "defining" the rest of the Natural Numbers.
Your problem is your naive mathematics can't define the terms you are using and blows itself into smithereens with its contradictions.