Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: Does the number of nines increase? Date: Thu, 4 Jul 2024 22:30:57 +0200 Organization: A noiseless patient Spider Lines: 16 Message-ID: References: Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 04 Jul 2024 22:30:57 +0200 (CEST) Injection-Info: dont-email.me; posting-host="6cf145e250d2c35a9a474c385b0c5c1c"; logging-data="3059731"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19lkUCF0XG949Zfv9mM9HqL" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:J1hF8R5qyAas9KYpYDAG60XYq0M= Content-Language: de-DE In-Reply-To: Bytes: 1625 Am 04.07.2024 um 22:23 schrieb Chris M. Thomasson: > I was just thinking that infinite is infinite, No, it isn't. > there is an infinite number of natural numbers, Right, _countably_ infinitely many. > there are an infinite amount of [real] numbers between say, .0000001 and .00000001 _Uncountably_ infinitely many. See: https://en.wikipedia.org/wiki/Countable_set and: https://en.wikipedia.org/wiki/Uncountable_set