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

On 09.12.2024 20:23, joes wrote:
 > Am Mon, 09 Dec 2024 10:04:23 +0100 schrieb WM:
 >> On 08.12.2024 19:01, Jim Burns wrote:
 >>
 >>> You (WM) are considering infinite dark.finite.cardinals,
 >>> which do not exist.
 >> Then analysis is contradicted in set theory.
 >> ∀n ∈ ℕ: E(1)∩E(2)∩...∩E(n) = E(n).
 >> The limit of the left-hand side is empty, the limit of the
 >> right-hand side is full, i.e. not empty.
 >> I do not tolerate that.
 > What is the RHS limit?
There is no limit in set theory, contrary to the LHS limit { }.

 > Not that you have written out a sequence.
I wrote a general term. The sequences are (E(1)∩E(2)∩...∩E(n)) and
(E(n)).