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Path: news.eternal-september.org!eternal-september.org!news.eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius <invalid@example.invalid> Newsgroups: sci.math Subject: Re: Does the number of nines increase? Date: Tue, 9 Jul 2024 23:07:59 +0200 Organization: A noiseless patient Spider Lines: 14 Message-ID: <v6k8rg$1hehh$1@dont-email.me> References: <tJf9P9dALSN4l2XH5vdqPbXSA7o@jntp> <206ac30e-6ba5-46f2-978e-59182f946547@att.net> <ua_dk69eQeSqktCTQNG3SNIblRg@jntp> <38fbe173-2081-49a4-89d5-d1470f754565@att.net> <hAhJQ7nieohA_6mzxTp_Pm537J8@jntp> <69d5b220-850b-4faa-b9b4-b25cd74d1666@att.net> <iXwHO-pH72dPrRO8fKLu73u-pDc@jntp> <v6etjs$f608$6@dont-email.me> <rOlUS7lI7QcAQJM95Z2fo8X09x0@jntp> <v6etov$f604$2@dont-email.me> <02WQWLab8x41L6XRW0n7Ba0poZ8@jntp> <v6iaf6$18428$1@dont-email.me> <v6j2cm$1bggk$1@dont-email.me> <v6k5fj$1gsq2$2@dont-email.me> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 09 Jul 2024 23:08:00 +0200 (CEST) Injection-Info: dont-email.me; posting-host="581d72232c13daa8d7f7e856bb4589fd"; logging-data="1620529"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18CSMuXIwFX75cXXqCuxvku" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:ZJ3DE+q1mu2nx/EhdBb2akAPtw4= In-Reply-To: <v6k5fj$1gsq2$2@dont-email.me> Content-Language: de-DE Am 09.07.2024 um 22:10 schrieb Chris M. Thomasson: > On 7/9/2024 3:11 AM, FromTheRafters wrote: > Does that mean there are as many rationals as there are reals? I already told you that: The set of rational numbers is countable infinite while the set of real numbers is _uncountable_. Again: One of my math professors once tried to express this state of affairs the following way: "There are (in a certain sense) much more real numbers than rational numbers." See: https://en.wikipedia.org/wiki/Countable_set and: https://en.wikipedia.org/wiki/Uncountable_set