Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 08. Dec 2024, 11:55:34
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vj3tv7$3nktg$3@dont-email.me>
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User-Agent : Mozilla Thunderbird
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).
If a limit is desired, then it is the same for both sequences.
Regards, WM