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Article #832Re: A Guide for Cantor Cranks
From: David R Tribble
Date: Mon, 14 Mar 2011 01:53
Date: Mon, 14 Mar 2011 01:53
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2932 bytes
Jim Burns wrote: >> You might as well add to 2 to 2 over and >> over again until you get something other than 4. > Transfer Principle wrote: > Every time someone mentions "2+2=4," someone else usually > mentions piano interval arithmetic, in which a major 2nd > plus a major 2nd is a major 3rd. For some reason, those on > the standard side are _more_ willing to accept a theory in > which 2+2 is something other than 4 (such as 3, for pianos) > than they would accept a theory where there are as many > reals as naturals. Do you think that's what Russell is doing, presenting an alternative (non-standard) theory in which the cardinalities of the reals and the naturals are the same? Because it looks like (as far as we can decipher Russell's beliefs) that he's arguing that a contradiction exists within standard arithmetic (or Cantor's set theory).
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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: fd648,af7892021029fe4a X-Google-NewGroupId: yes X-Google-Attributes: gide4b186767d,gid9ef9b79ae9,giddb42311052,domainid0,public,usenet X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!hd10g2000vbb.googlegroups.com!not-for-mail From: David R Tribble <david@tribble.com> Newsgroups: sci.logic,sci.math,aus.science Subject: Re: A Guide for Cantor Cranks Date: Sun, 13 Mar 2011 18:53:07 -0700 (PDT) Organization: http://groups.google.com Lines: 21 Message-ID: <f29b2a28-6be2-42ca-81a3-9980a16c7ad8@hd10g2000vbb.googlegroups.com> References: <40e69d0c-eb77-4308-996e-c7dfc1a0ec1e@j13g2000pro.googlegroups.com> <b42712d6-d4f9-4f94-a93d-6c93b541d7d8@z3g2000prz.googlegroups.com> <c9de29dc-9e46-4896-996e-cb343d095591@e9g2000vbk.googlegroups.com> <5668f65b-2303-4b93-b0b5-315c4c9336e0@k15g2000prk.googlegroups.com> <973dc817-ebef-4eb5-8e01-ac222a096df3@b13g2000prf.googlegroups.com> <61cea93e-5747-4355-b302-32f8fb9ee7a2@n2g2000prj.googlegroups.com> <87sjutb8vc.fsf@phiwumbda.org> <6c506923-5a3f-4c03-b0c7-0bd5048e4749@q14g2000vbf.googlegroups.com> <8762robf46.fsf@phiwumbda.org> <fd17ad42-e5d8-48a3-abe9-2e103f2daca9@a11g2000pro.googlegroups.com> <ilj4m9$jhs$1@charm.magnus.acs.ohio-state.edu> <ca19e249-3613-464d-8333-955ab5dc63a1@w7g2000pre.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 1300067588 12281 127.0.0.1 (14 Mar 2011 01:53:08 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Mon, 14 Mar 2011 01:53:08 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: hd10g2000vbb.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)