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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality --- infinitesimal number system Date: Tue, 30 Jul 2024 18:46:05 -0500 Organization: A noiseless patient Spider Lines: 28 Message-ID: <v8btvt$18b7k$1@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <881fc1a1-2e55-4f13-8beb-94d1f941b5af@att.net> <vg44QVKbPSR4U0Tq71L-fg5yqgM@jntp> <85194aeb-1b24-4486-8bcc-4dcd43b4fd2f@att.net> <VPcfM2gW_CIIfddmzwBYPrpt87w@jntp> <f3089a55-39f4-4df1-a525-58e21342ced8@att.net> <P04FAosjolyjDfgV0JPXWx1mF6o@jntp> <40165884-df8f-4614-8644-9161d72fd1cb@att.net> <v8bqle$17cl7$4@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 31 Jul 2024 01:46:06 +0200 (CEST) Injection-Info: dont-email.me; posting-host="d6c56e3cc0e766a5f243fbbf3db0d44a"; logging-data="1322228"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/bYHRi0WaNLl/d2K54gIe4" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:+Es41scRTa5OLYSCxuGNLqV8eXk= Content-Language: en-US In-Reply-To: <v8bqle$17cl7$4@dont-email.me> Bytes: 2329 On 7/30/2024 5:49 PM, Moebius wrote: > Am 30.07.2024 um 20:37 schrieb Jim Burns: >> On 7/30/2024 1:30 PM, WM wrote: > >>> [...] between [0, 1] and (0, 1]. > > Could you please explain to me the meaning of the phrase "between [0, 1] > and (0, 1]"? One can construe them as line segments that differ in length by a single geometric point on the number line. I came up with that a few years ago with my infinitesimal number system that seems to map integers to a contiguous set of immediately adjacent geometric points on the number line. > > What IS "between [0, 1] and (0, 1]". (Which real numbers are "between > [0, 1] and (0, 1]"? 0? So why not just talk about 0 in this case?) > > Thank you. > > (Actually, it sounds like meaningless mumbo-jumbo to me. Something a > psychotic asshole full of shit might utter.) -- Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer