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Path: news.eternal-september.org!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 (extra-ordinary) Date: Sun, 12 Jan 2025 16:31:32 +0100 Organization: A noiseless patient Spider Lines: 16 Message-ID: <vm0n8k$16cq1$3@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vlc68u$k8so$1@dont-email.me> <vldpj7$vlah$7@dont-email.me> <a8b010b748782966268688a38b58fe1a9b4cc087@i2pn2.org> <vlei6e$14nve$1@dont-email.me> <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <vlir7p$24c51$1@dont-email.me> <417ff6da-86ee-4b3a-b07a-9c6a8eb31368@att.net> <vllfof$2n0uj$2@dont-email.me> <07258ab9-eee1-4aae-902a-ba39247d5942@att.net> <vlmst2$2vjr0$3@dont-email.me> <1ebbc233d6bab7878b69cae3eda48c7bbfd07f88@i2pn2.org> <vlo5f4$39hil$2@dont-email.me> <4c89380adaad983f24d5d6a75842aaabbd1adced@i2pn2.org> <vloule$3eqsr$1@dont-email.me> <ffffed23878945243684de7f2aa9aaaf29564508@i2pn2.org> <vlrej9$2m5k$1@dont-email.me> <d6ed4797-65e8-4004-853c-f07a37af0c11@att.net> <vls4j6$7v2k$3@dont-email.me> <adef9ec5c327614374fdc3c3cc55d7a753e28a36@i2pn2.org> <vltfo8$heoh$5@dont-email.me> <7fc40cc2dbd42016a62aa0374d545e9e787a7da3@i2pn2.org> <vltu35$lav6$1@dont-email.me> <vm0a73$14qpl$1@dont-email.me> <e992a9c19abdfdbc610021c6ce6902f9b2574521@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 12 Jan 2025 16:31:33 +0100 (CET) Injection-Info: dont-email.me; posting-host="12b77b53e2dfb1366c2321c2e7d191b6"; logging-data="1258305"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+sqNtprMMM0f5HXNa6O8Uq6i8vriq2sSY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:4SAEju6pxvYHM2REpFP6MbHfleM= Content-Language: en-US In-Reply-To: <e992a9c19abdfdbc610021c6ce6902f9b2574521@i2pn2.org> On 12.01.2025 15:07, joes wrote: > Am Sun, 12 Jan 2025 12:48:50 +0100 schrieb WM: >> If you multiply every number by 2, then larger even numbers than all >> hitherto present even numbers are created because the number of numbers >> remains constant but the odd numbers disappear. > No, not if you really multiply *every* number and not only finitely many. When their number remains and half disappear, then half are added. > The *cardinality* is the same. Cardinality is irrelevant. x = x/2 + y. Regards, WM