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.