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Article #773Re: A Guide for Cantor Cranks
From: David R Tribble
Date: Sun, 03 Apr 2011 15:29
Date: Sun, 03 Apr 2011 15:29
30 lines
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3127 bytes
David R Tribble wrote: >> Just because >> these ratios have absolutely no meaning in standard math is >> no reason to reject them outright. > Transfer Principle wrote: > Exactly -- and I didn't even have to come up with a brand new > theory to give them meaning. They already have meaning in an > already known theory, Robinson's hyperreals. Although it may not have been obvious, I was being facetious. What I said was true, but that assumes that the OP is framing his question without regard to standard math. But it's obvious that he is, so it does not make sense to assume, or even suggest, an alternative theory. Transfer Principle wrote: > (Since I'm responding to Tribble here, I was hoping to use his > suprareals instead of the hyperreals. But I doubt that one can > assign digits to infinite suprareals like eta_1, in the same > manner I assigned digits to infinite hyperreals above. Sorry!) No, because my suprareals don't have a purely digital representation. The best you could do is attempt to write them in base-eta_n notation, where each "digit" is a real or lower suprareal of order eta_(n-1) (where the usual reals are order eta_0). Messy.
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X-Google-Thread: 10cc56,bdbafb069b8118a7 X-Google-NewGroupId: yes X-Google-Thread: 109d8a,bdbafb069b8118a7 X-Google-NewGroupId: yes X-Google-Thread: f8362,bdbafb069b8118a7 X-Google-NewGroupId: yes X-Google-Thread: 10b271,bdbafb069b8118a7 X-Google-NewGroupId: yes X-Google-Thread: fd648,af7892021029fe4a X-Google-NewGroupId: yes X-Google-Attributes: gide4b186767d,gid9ef9b79ae9,gided4ff1f581,gid54ac8f410d,giddb42311052,domainid0,public,usenet X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!d12g2000vbz.googlegroups.com!not-for-mail From: David R Tribble <david@tribble.com> Newsgroups: sci.logic,sci.math,comp.theory,sci.physics,aus.science Subject: Re: A Guide for Cantor Cranks Date: Sun, 3 Apr 2011 08:29:34 -0700 (PDT) Organization: http://groups.google.com Lines: 30 Message-ID: <8f8c4192-c6d0-4e7f-b902-02756cf6ae78@d12g2000vbz.googlegroups.com> References: <40e69d0c-eb77-4308-996e-c7dfc1a0ec1e@j13g2000pro.googlegroups.com> <35760f05-df0e-4c29-85c0-08f98cf10a42@s18g2000prg.googlegroups.com> <521e5cfe-5269-4d9a-ab45-5e8cf597b2d1@y31g2000vbp.googlegroups.com> <971970b6-b722-4f38-96cb-4aef5f17e96e@b22g2000prb.googlegroups.com> <imfl55$9d2$1@automatic.inf.ed.ac.uk> <878935e3-c709-40c7-bcac-faf470bbc4aa@s11g2000yqh.googlegroups.com> <68284fb4-69a2-48df-a82d-6806d719a2cd@f15g2000pro.googlegroups.com> NNTP-Posting-Host: 99.33.73.32 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 X-Trace: posting.google.com 1301844574 16255 127.0.0.1 (3 Apr 2011 15:29:34 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Sun, 3 Apr 2011 15:29:34 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: d12g2000vbz.googlegroups.com; posting-host=99.33.73.32; posting-account=yxbZkgkAAABQBvyYeebYQ-PAvi0uT3tG User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/5.0 (Windows NT 5.1; rv:2.0) Gecko/20100101 Firefox/4.0,gzip(gfe)