Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: how Date: Wed, 17 Apr 2024 01:47:41 -0400 Organization: Peripheral Visions Lines: 30 Message-ID: References: <44eaef1b-35be-4b50-900b-52b010ba9aa0@att.net> <_g9BcdiKQ1epFrcvM4FSF2rZkN8@jntp> <7FlE2ap2lYCEKbW6F4ekYb8aZ3s@jntp> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 17 Apr 2024 07:47:47 +0200 (CEST) Injection-Info: dont-email.me; posting-host="e6a7dc71a36f18424fa8fc4a317f9966"; logging-data="1523080"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/m+6ge9cQbCe5oIXS4Z5rEZK+RTn7Nef0=" Cancel-Lock: sha1:QwycdfRlbMaOkspLGj1eKmFR6yo= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2130 Richard Damon formulated the question : > On 4/16/24 10:59 AM, WM wrote: >> Le 16/04/2024 à 00:38, Richard Damon a écrit : >> >>> Name a Natural Number that can not be doubled!!! >>> >> All nameable numbers belong to a potentially infinite collection, a very >> small initial segment of ℕ. >>> >>>>> Thus, doubling ALL the Natural Numbers still gives you results that are >>>>> all Natural Numbers. >>>> >>>> Impossible, since all are doubled. >>> >>> POSSIBLE!!!! >>> >>> That is the "miracle" of INFINITY. >> >> No, it is the incongruence of thinking. >> For potential infinity it is true. But for actual infinity it is wrong. >> >> Regards, WM >> >> > Why? > > What number in the set of Natual Numbers doesn't have another Natural Number > that is twice it? Zero?