Deutsch English Français Italiano |
<vjv6fb$2dujf$2@dont-email.me> View for Bookmarking (what is this?) Look up another Usenet article |
Path: 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 (extra-ordinary) Date: Wed, 18 Dec 2024 20:06:19 +0100 Organization: A noiseless patient Spider Lines: 18 Message-ID: <vjv6fb$2dujf$2@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <vj6vhh$elqh$2@dont-email.me> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <vj9s4i$11a3p$1@dont-email.me> <vjam6d$1700v$1@dont-email.me> <vjc65g$1i9vk$3@dont-email.me> <vjf7kl$2s7e5$1@dont-email.me> <vjfmq3$2upa9$3@dont-email.me> <c6b624cb0b1b55d54aab969ee5b4e283ec7be3cd@i2pn2.org> <vjhp8b$3gjbv$1@dont-email.me> <dc9e7638be92c4d158f238f8c042c8559cd46521@i2pn2.org> <vjjg6p$3tvsg$1@dont-email.me> <c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org> <vjka3b$1tms$3@dont-email.me> <e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org> <vjmse3$k2go$2@dont-email.me> <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <vjooeq$11n0g$2@dont-email.me> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <vjrfcc$1m1b2$1@dont-email.me> <3c08ed64fa6193dc9ab6733b807a5c99a49810aa@i2pn2.org> <vjss56$1tr00$2@dont-email.me> <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 18 Dec 2024 20:06:20 +0100 (CET) Injection-Info: dont-email.me; posting-host="88b112977a5337b1fc88536ec63c3cc2"; logging-data="2554479"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19Gb1ECuv4a8ai0IeA6qwFOxwIYE1+6pUI=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:FVGqgXqw09HNpYX070XZaugyppQ= In-Reply-To: <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org> Content-Language: en-US On 18.12.2024 13:29, Richard Damon wrote: > On 12/17/24 4:57 PM, WM wrote: >> >> You claimed that he uses more than I do, namely all natural numbers. > > Right, you never use ALL the natural numbers, only a finite subset of them. Please give the quote from which you obtain a difference between "The infinite sequence thus defined has the peculiar property to contain the positive rational numbers completely, and each of them only once at a determined place." [G. Cantor, letter to R. Lipschitz (19 Nov 1883)] and my "the infinite sequence f(n) = [1, n] contains all natural numbers n completely, and each of them only once at a determined place." Regards, WM