Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.mathDate : 09. Dec 2024, 20:23:13
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <dd34fc1a59ee9107041418a2e597bba281d30d0b@i2pn2.org>
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User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
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? Not that you have written out a sequence.
-- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:It is not guaranteed that n+1 exists for every n.