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

On 03.12.2024 11:03, Mikko wrote:

I understand mathematics

Hardly, though you may have the impression.
Proof: You cannot understand that the function
f(10n) = n from D = {10n | n ∈ ℕ} to ℕ = {1, 2, 3, ...} is not a bijection because for every initial segment {1, 2, 3, ..., n} of ℕ there are too few numbers of the form 10n that can be paired with numbers n. Since ℕ is the union (or the limit) of the sequence of initial segments {1, 2, 3, ..., n}, there are too few numbers of the form 10n in ℕ that can be paired with numbers n.
Regards, WM