Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.mathDate : 14. Dec 2024, 12:00:04
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <dd8594509bb413ced8acf4cdbd1f9407c176cf98@i2pn2.org>
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User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Sun, 08 Dec 2024 11:55:34 +0100 schrieb WM:
On 08.12.2024 11:43, joes wrote:
Am Sat, 07 Dec 2024 22:50:27 +0100 schrieb WM:
∀n ∈ ℕ: E(1)∩E(2)∩...∩E(n) = E(n)
All n are infinitely many.
That sentence only talks about a single n at a time, though,
not about the infinite intersection.
It talks about all n and therefore about all E(n).
No, it says nothing about the intersection of all E(n),
only about finite intersections
-- 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.