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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
Date: Mon, 09 Dec 2024 06:08:33 -0500
Organization: Peripheral Visions
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References: <vg7cp8$9jka$1@dont-email.me>   <viiqfd$2qq41$5@dont-email.me> <vik73d$3a9jm$1@dont-email.me> <vikg6c$3c4tu$1@dont-email.me> <9bcc128b-dea8-4397-9963-45c93d1c14c7@att.net> <vimvgd$3vv5r$9@dont-email.me> <50c82b03-8aa1-492c-9af3-4cf2673d6516@att.net> <vip5mo$p0da$1@dont-email.me> <vipb6l$qfig$1@dont-email.me> <viplj0$t1f8$1@dont-email.me> <5a122d22-2b21-4d65-9f5b-4f226eebf9d4@att.net> <viq3i2$105iq$1@dont-email.me> <e055ec41-a98d-4917-802f-169575a5b556@att.net> <virq3t$1gs07$1@dont-email.me> <c8faf784-348a-42e9-a784-b2337f4e8160@att.net> <3af23566-0dfc-4001-b19b-96e5d4110fee@tha.de> <ae606e53-0ded-4101-9685-fa33c9a35cb9@att.net> <viuc2a$27gm1$1@dont-email.me> <8a53c5d4-4afd-4f25-b1da-30d57e7fe91c@att.net> <vj1acu$31atn$3@dont-email.me> <ec451cd6-16ba-463d-8658-8588093e1696@att.net> <vj2f61$3b1no$1@dont-email.me> <10ebeeea-6712-4544-870b-92803ee1e398@att.net> <vj3tl0$3nktg$2@dont-email.me> <1f1a4089-dfeb-45f8-9c48-a36f6a4688fb@att.net> <vj6bqo$b6bt$1@dont-email.me>
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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.

So you just pretend that they have the same 'limit'?