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

On 13.12.2024 03:29, Richard Damon wrote:

On 12/12/24 4:57 PM, WM wrote:

D = {10n | n ∈ ℕ} is the set being mapped. The set D being mapped does not change when it is attached to the set ℕ being mapped in form of black hats.

And so, which element of which set didn't get mapped to a member of the other by the defined mapping?

No such element can be named. But 9/10 of all ℕ cannot get mapped because the limit of the constant sequence 1/9, 1/9, 1/9, ... is 1/9. This proves the existence of numbers which cannot be named.
Regards, WM