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Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Sun, 17 Nov 2024 20:24:48 +0100 Organization: A noiseless patient Spider Lines: 13 Message-ID: <vhdfu1$p3fg$2@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vh00jj$1m6co$1@dont-email.me> <97304048-24f5-4625-82a7-d17427f2f6e3@att.net> <vh0hta$1pmql$1@dont-email.me> <65febd06-662b-4fa4-9aa8-f7353a79a110@att.net> <vh2k9p$29cql$1@dont-email.me> <157a949d-6c19-4693-8cee-9e067268ae45@att.net> <vh35nd$2d81g$1@dont-email.me> <cb0c9917-09a9-45f0-8fe9-cd059fa82dde@att.net> <vh4itg$2o3vu$1@dont-email.me> <8165b44b-1ba5-429d-8317-0b043b214b53@att.net> <vh76bi$3bnde$1@dont-email.me> <d90452a5-965b-443f-9146-96cdf9b3906c@att.net> <vh8ft0$3jqb5$3@dont-email.me> <vh8g5e$3juug$1@dont-email.me> <vh8otd$3lhlt$2@dont-email.me> <vhb1is$6hbv$2@dont-email.me> <vhb1mu$6hbv$4@dont-email.me> <vhb32t$7ese$1@dont-email.me> <vhch7n$hge9$2@dont-email.me> <vhcieh$jjk5$1@dont-email.me> <vhcjg5$hdd4$3@dont-email.me> <vhckkh$k32g$1@dont-email.me> <vhcp0r$hge9$6@dont-email.me> <vhd7d7$nt37$1@dont-email.me> <vhd9lq$obb0$1@dont-email.me> <883377b7ebbd9d5d528db048daf9f682e3854ae8@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 17 Nov 2024 20:24:50 +0100 (CET) Injection-Info: dont-email.me; posting-host="4c16c2d368771b61dc0cead9e8464e9a"; logging-data="822768"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19y5vostSO+IP3Sttd/50TAhkV9zowDc2A=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:McG/vEVcfDlqiSeAZ3zQtQACj6I= Content-Language: en-US In-Reply-To: <883377b7ebbd9d5d528db048daf9f682e3854ae8@i2pn2.org> Bytes: 2437 On 17.11.2024 20:08, joes wrote: > Am Sun, 17 Nov 2024 18:38:00 +0100 schrieb WM: >> Of course. ℵo equals |ℕ|, equals |ℚ|, equals all countable sets. It is >> simply another name for infinitely "many". |ℕ| however is a fixed >> infinite number. Note that sets are invariable. > > Yes, those are all the same number. > It is the "number" many. ℚ has all elements of ℕ and some more. Therefore the correct numbers are different. Regards, WM