Article View: sci.logic
Article #825Re: A Guide for Cantor Cranks
From: David R Tribble
Date: Fri, 25 Mar 2011 02:57
Date: Fri, 25 Mar 2011 02:57
25 lines
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2762 bytes
Albrecht wrote: >> Pi has to be the limit of the serie >> 3/1, 31/10, 314/100, 3141/1000, 31415/10000, ... >> >> If you claim the existence of an irrational decimal number you claim >> the existence of the number >> 31415.../10000... >> with infinite numerator and inifite denominator. > Richard Tobin wrote: > One third has to be the limit of the series > 3/10, 33/100, 333/1000, ... > > If you claim the existence of one third you claim the existence of the > number > 33333.../100000... > with infinite numerator and denominator. Sounds like an alternative theory to ZFC, which plainly limits one's acceptance of perfectly reasonable ideas such as Albrecht's infinite ratios (eg, 31415.../10000...). Just because these ratios have absolutely no meaning in standard math is no reason to reject them outright. Just ask Transfer Principle; he'll set you straight on the underlying, but mostly hidden, logic.
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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!s11g2000yqh.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: Thu, 24 Mar 2011 19:57:40 -0700 (PDT) Organization: http://groups.google.com Lines: 25 Message-ID: <878935e3-c709-40c7-bcac-faf470bbc4aa@s11g2000yqh.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> NNTP-Posting-Host: 99.33.73.32 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 X-Trace: posting.google.com 1301021860 26761 127.0.0.1 (25 Mar 2011 02:57:40 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Fri, 25 Mar 2011 02:57:40 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: s11g2000yqh.googlegroups.com; posting-host=99.33.73.32; posting-account=yxbZkgkAAABQBvyYeebYQ-PAvi0uT3tG User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/5.0 (Windows; U; Windows NT 5.0; en-US; rv:1.9.2.6) Gecko/20100625 Firefox/3.6.6,gzip(gfe)