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

On 09.12.2024 18:20, Jim Burns wrote:

On 12/9/2024 4:04 AM, WM wrote:

Your two sequences as you have written them
are equal, and have equal limits: the empty set.
>
I suspect that it is the distinction between
cardinality of limit #⋂{E(i):i} = #{} = 0  and
limit of cardinalities

The cardinality of the limit is the cardinality of the limit set.This set is defined by the sequence of cardinalities from
∀k ∈ ℕ : E(k+1) = E(k) \ {k}
and by nothing else.
Regards, WM