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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: Wed, 04 Dec 2024 05:33:52 -0500
Organization: Peripheral Visions
Lines: 15
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References: <vg7cp8$9jka$1@dont-email.me>   <vi56or$3j04f$1@dont-email.me> <4a810760-86a1-44bb-a191-28f70e0b361b@att.net> <vi6uc3$3v0dn$4@dont-email.me> <b2d7ee1f-33ab-44b6-ac90-558ac2f768a7@att.net> <vi7tnf$4oqa$1@dont-email.me> <23311c1a-1487-4ee4-a822-cd965bd024a0@att.net> <e9eb6455-ed0e-43f6-9a53-61aa3757d22d@tha.de> <71758f338eb239b7419418f49dfd8177c59d778b@i2pn2.org> <via83s$jk72$2@dont-email.me> <viag8h$lvep$1@dont-email.me> <viaj9q$l91n$1@dont-email.me> <vibvfo$10t7o$1@dont-email.me> <vic6m9$11mrq$4@dont-email.me> <vicbp2$1316h$1@dont-email.me> <vid4ts$1777k$2@dont-email.me> <vidcv3$18pdu$1@dont-email.me> <bdbc0e3d-1db2-4d6a-9f71-368d36d96b40@tha.de> <vier32$1madr$1@dont-email.me> <vierv5$1l1ot$2@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>
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WM formulated the question :
> On 03.12.2024 21:34, Jim Burns wrote:
>> On 12/3/2024 8:02 AM, WM wrote:
>
>>> E(1)∩E(2)∩...∩E(n) = E(n).
>>> Sequences which are identical in every term
>>> have identical limits.
>> 
>> An empty intersection does not require
>>   an empty end.segment.
>
> A set of non-empty endsegments has a non-empty intersection. The reason is 
> inclusion-monotony.

Conclusion not supported by facts.