Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 09. Dec 2024, 14:04:09
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vj6psc$dp01$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
User-Agent : Mozilla Thunderbird
On 09.12.2024 13:03, Richard Damon wrote:
On 12/9/24 4:04 AM, WM wrote:
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.
>
By your logic, 1 equals 0,
No, that are two different sequences.
Regards, WM
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