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Path: ...!feeds.phibee-telecom.net!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality (infinite middle) Date: Sat, 10 Aug 2024 15:47:32 -0700 Organization: A noiseless patient Spider Lines: 23 Message-ID: <v98qm3$ue8i$4@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <IzWzFdkkm97GEXyAioF3IpRiSfI@jntp> <42d2b329-5394-47e0-b8c9-098908b2e9a8@att.net> <__cCn6h6Ey1Kz0BrIf6EShypg4M@jntp> <e8a3a66a-7d83-4658-9f4c-23d7dc354fb9@att.net> <iqelfxYKWhBbwcm10DcO5hr3scI@jntp> <f920592b-897c-48b9-a9af-80f25bc60e4b@att.net> <DDPks1ynTy6IhIWNHaxt25GM1v0@jntp> <c1f0efc8-04ca-4f2d-9820-cfd54c0eca73@att.net> <v90rp5$3dbpd$1@dont-email.me> <L8Pl0ELcnLfKVO0KrMmhSqDd-Y0@jntp> <v926ot$3tjq6$1@dont-email.me> <PbydnQO1H-qe_yj7nZ2dnZfqnPqdnZ2d@giganews.com> <v98ppi$ue8i$1@dont-email.me> <v98qeo$ul4c$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 11 Aug 2024 00:47:32 +0200 (CEST) Injection-Info: dont-email.me; posting-host="4a54933427a42d7629aa5812cc9a6647"; logging-data="997650"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+2P1wm34QoqG9YoMcUoojavpsxaXfk1f0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:ZE5H8WULafSrRXdxmpHiO2q9kx0= In-Reply-To: <v98qeo$ul4c$1@dont-email.me> Content-Language: en-US Bytes: 2327 On 8/10/2024 3:43 PM, Moebius wrote: > Am 11.08.2024 um 00:32 schrieb Chris M. Thomasson: >> On 8/8/2024 5:26 PM, Ross Finlayson wrote: > >>> 0 ... ( ... infinitely-many ... ) ... infinity >> >> Sure. Think of two points, and draw a line between them. > > It's hard to conceive a "continuous" line between 0 and omega. :-P Well, two points on say a 2-ary vector. { x, y } where x and y are reals? Or a complex number, still 2-ary, x+yi ... > Hint: Of course we may "imagine" the real line: > > |-----|-----|-----|-----|--.. > 0 1 2 3 4 > > But omega is not a point on this line. :-P "Out of scope", perhaps? Is that okay?