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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: Does the number of nines increase? Date: Mon, 15 Jul 2024 19:06:22 -0700 Organization: A noiseless patient Spider Lines: 76 Message-ID: <v74kiv$uvo1$9@dont-email.me> References: <tJf9P9dALSN4l2XH5vdqPbXSA7o@jntp> <bsFBaEx89RCdvkhqBwd1K4mh5ns@jntp> <d98d5c8a-041d-4ce6-b7c8-5a212a7bfa3c@att.net> <e3ZDe1OozyaPv_8HZy_kTDZtHJk@jntp> <v6spao$3diun$2@dont-email.me> <d6yZRpOl38J4dqE-n_qqzplqNmQ@jntp> <v6ul15$3ni5h$1@dont-email.me> <79JoZp5bHCH4hf4J9cxbLGeMvPE@jntp> <v70pd4$6n41$1@dont-email.me> <v70qpr$6n41$2@dont-email.me> <IAIrpEwkSIeTEbJYkgrMTrjRWU8@jntp> <v7481q$t6m9$2@dont-email.me> <v74i9g$ulge$2@dont-email.me> <v74iip$uvo1$2@dont-email.me> <v74jf1$ulgd$3@dont-email.me> <v74jk1$uvo1$5@dont-email.me> <v74k2n$ulge$5@dont-email.me> <v74kbe$uvo1$8@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 16 Jul 2024 04:06:24 +0200 (CEST) Injection-Info: dont-email.me; posting-host="450a0e1462802decfe06d2fadc7d9026"; logging-data="1015553"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/BOO4utpF2+CYw0kBQQeZC+U5fexHRaJY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:yDiCKf/U+o8PcQNX4I+8kXCXF4c= In-Reply-To: <v74kbe$uvo1$8@dont-email.me> Content-Language: en-US Bytes: 3657 On 7/15/2024 7:02 PM, Chris M. Thomasson wrote: > On 7/15/2024 6:57 PM, Moebius wrote: >> Am 16.07.2024 um 03:49 schrieb Chris M. Thomasson: >>> On 7/15/2024 6:47 PM, Moebius wrote: >>>> Am 16.07.2024 um 03:32 schrieb Chris M. Thomasson: >>>> >>>>> going left to right, so to speak, [...] >>>>> >>>>> 1/1, 1/2, 1/3, 1/4, ... >>>> >>>> Nope, here you are going "from right to left" (on the real line). >>>> >>>> You see, 1/1 is larger than, say, 1/2, hence on "the real line" 1/1 >>>> is RIGHT from 1/2. No? >>>> >>>> Hint: >>>> >>>> ... | ... | ... | ... (real line) >>>> >>>> 0 1/2 1/1 (=1) >>>> >>>>> Huh? WM is backwards? >>>> >>>> Actually, not. :-) >>>> >>> Actually, my real line is, say >>> >>> ...-1...0...+1... >> >> >> Seems poor. :-P >> >> Let's fill in some unit fractions (at least 1/2). :-) >> >> ...| ... | ... | ... | ... (real line) >> -1 0 1/2 1/1 (=1) >> >>> So, left to right with origin at zero [...] the natural numbers, >>> starting at zero the origin of the real line: >>> >>> 0, 1, 2, 3, 4, ... >> >> Right. But ALL unit fractions are between 0 and 1 (incl.). :-) >> >>> 0 is at origin point on my real line, the x axis so to speak. It has >>> an origin at 0. Fair enough? >> >> Sure. Why do you ask? :-P >> >>> Left of zero, or origin if you will, is negative, right of zero is >>> positive... >> >> Yeah. >> >> And between 0 and 1 (=1/1) there are the unit fractions 1/2, 1/3, ...: >> >> 0 < ... < 1/3 < 1/2 < 1/1 . >> >> See? :-P >> >> >> >> > > I see that you increased the granularity from natural numbers into the > unit fractions... > > Wrt enumeration unit fractions I like to go from 1/1, to 1/2, to 1/3, > ect... Is that wrong? There is no way to go the other way because then > we have to think of a a smallest unit fraction, WM world, right? What about a special real line with unit fraction granularity, and signs? (-) ... <-(1/2)<-(1/1)<-(0)->+(1/1)->+(1/2)-> ... (+) Ahh, this is backwards? Shit!