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Article #764Re: A Guide for Cantor Cranks
From: MoeBlee
Date: Tue, 29 Mar 2011 21:59
Date: Tue, 29 Mar 2011 21:59
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2984 bytes
On Mar 29, 3:58 pm, Transfer Principle <lwal...@lausd.net> wrote: > for each natural number n, let (n,0) be the > positive integer +n, and (0,n) be the negative integer -n. > let (a,b), with b>0, gcd(a,b)=1, be > the rational a/b. Have you checked that you can get that all to work with operations of addition, multiplication, subtraction, division, and the standard ordering? Especially, arithmetic on integers requires taking them also as differences reckoned not just with 0, and arithmetic on rationals ordinarily requires taking them also as quotients not necessarily in the gcd form you stipulate. MoeBlee
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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: gided4ff1f581,gid54ac8f410d,giddb42311052,domainid0,public,usenet X-Google-Language: ENGLISH,ASCII Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!j13g2000yqj.googlegroups.com!not-for-mail From: MoeBlee <jazzmobe@hotmail.com> Newsgroups: sci.logic,sci.math,comp.theory,sci.physics,aus.science Subject: Re: A Guide for Cantor Cranks Date: Tue, 29 Mar 2011 14:59:23 -0700 (PDT) Organization: http://groups.google.com Lines: 17 Message-ID: <fc65e19d-55d9-43c2-9827-92410f4d786e@j13g2000yqj.googlegroups.com> References: <40e69d0c-eb77-4308-996e-c7dfc1a0ec1e@j13g2000pro.googlegroups.com> <5d2c87a8-5926-4b27-a445-3bc3ab5c98d0@u3g2000vbe.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> <d9d86644-ea52-4f53-ba2f-42d2718630c0@k7g2000yqj.googlegroups.com> <b05355b2-d80e-47ec-9c3b-43e7bc40ab32@22g2000prx.googlegroups.com> <4D8B5041.9060702@osu.edu> <936fb9f1-da8e-4533-93a1-15cf5d060cc5@k7g2000yqj.googlegroups.com> <357b5567-048f-41ad-bb72-b662b2fd0163@k22g2000yqh.googlegroups.com> <a1dcf298-c9ac-493b-8f84-aba738455b49@i35g2000prd.googlegroups.com> <imob8a$92i$1@charm.magnus.acs.ohio-state.edu> <82025101-e1c9-4ca8-82ba-93d35db82cb6@l2g2000prg.googlegroups.com> NNTP-Posting-Host: 74.202.255.133 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: posting.google.com 1301435963 2461 127.0.0.1 (29 Mar 2011 21:59:23 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Tue, 29 Mar 2011 21:59:23 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: j13g2000yqj.googlegroups.com; posting-host=74.202.255.133; posting-account=EL3hgwoAAABtyRFrR2z7EBO1tnJeMiO7 User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/4.0 (compatible; MSIE 8.0; Windows NT 5.1; Trident/4.0; .NET CLR 2.0.50727; .NET CLR 3.0.04506.648; .NET CLR 3.5.21022; MS-RTC LM 8; .NET CLR 1.1.4322; .NET CLR 3.0.4506.2152; .NET CLR 3.5.30729; InfoPath.2),gzip(gfe)