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

On 12/14/24 3:53 AM, WM wrote:

Please refer to the simplest example I gave you on 2024-11-27:
The possibility of a bijection between the sets ℕ = {1, 2, 3, ...} and D = {10n | n ∈ ℕ} is contradicted because for every interval (0, n] the relative covering is not more than 1/10, and there are no further numbers 10n beyond all natural numbers n. The sequence 1/10, 1/10, 1/10, ... has limit 1/10.

Except that we aren't dealng with the FINITE sets of {1, 2, 3, ..., n} but for the full set of { 1, 2, 3, ... }