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NNTP-Posting-Date: Wed, 11 Dec 2024 02:26:54 +0000
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
(not extra-ordinary, fragments)
Newsgroups: sci.math
References: <vg7cp8$9jka$1@dont-email.me>
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From: Ross Finlayson <ross.a.finlayson@gmail.com>
Date: Tue, 10 Dec 2024 18:26:45 -0800
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On 12/10/2024 02:46 PM, FromTheRafters wrote:
> joes pretended :
>> Am Mon, 09 Dec 2024 22:28:41 +0100 schrieb WM:
>>> 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 { }.
>> Dafuq? How do you derive that? Why not for the RHS?
>
> That sounds downright sinister.
Hey now - not everybody knows that sinister
is just old-fashioned for left-handed, ....
Don't make them esquerda.
Point-dexter
How about the limit or _exhaustion_ when
_exhausting_ the act of shifting, versus
_exhausting_ the act of collecting, when,
the result of one is different the result
the other.
Sometimes half-right is half-wrong, you see.
When wrong won't do, ....