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

On 10.12.2024 23:37, joes wrote:

Am Mon, 09 Dec 2024 22:28:41 +0100 schrieb WM:

  >> ∀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?

All sets are claimed to be infinite.

There is no limit in set theory, contrary to the LHS limit { }.

Why not for the RHS?

All sets are claimed to be infinite. A sequence of infinitely many numbers cannot lose all numbers"in the limit"
Regards, WM