Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Thu, 28 Nov 2024 14:28:12 -0500 Organization: Peripheral Visions Lines: 12 Message-ID: References: <96af151c-285d-4161-842a-63019cac9699@att.net> <09f8a86f-3f75-4af8-a190-0def76c1ab82@att.net> <68dc9b71-cf5d-4614-94e2-8a616e722a63@att.net> <67d9867b-2614-4475-975c-938bafca5c00@att.net> <4a810760-86a1-44bb-a191-28f70e0b361b@att.net> <23311c1a-1487-4ee4-a822-cd965bd024a0@att.net> <71758f338eb239b7419418f49dfd8177c59d778b@i2pn2.org> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 28 Nov 2024 20:28:18 +0100 (CET) Injection-Info: dont-email.me; posting-host="ef1f18c0f92d9d4a945a7f324b84fbfd"; logging-data="720345"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19kgvhYdsI3IxkYLHBI64YpCQZDAUJc2bg=" Cancel-Lock: sha1:/TN1XXO4FhHhCTE6K6YHl53KErw= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2364 WM used his keyboard to write : > On 28.11.2024 17:45, joes wrote: >> Am Thu, 28 Nov 2024 11:39:05 +0100 schrieb WM: > >>> A simpler arguments is this: All endsegments are in a decreasing >>> sequence. >> There is no decrease, they are all infinite. > > Every endsegment has one number less than its predecessor. > That is called decrease. More like the subset relation. It is not a decrease in cardinality.