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 { }.

∀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.