🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: sci.logic
Article #764

Re: A Guide for Cantor Cranks

#764
From: MoeBlee
Date: Tue, 29 Mar 2011 21:59
16 lines
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
Technical Details
Message-ID: <fc65e19d-55d9-43c2-9827-92410f4d786e@j13g2000yqj.googlegroups.com>
Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!j13g2000yqj.googlegroups.com!not-for-mail
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>

Show Full Headers
Complete Article Headers
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)