Re: A Guide for Cantor Cranks

Article View: sci.logic

Article #827

#827

From: William Hughes
Date: Fri, 25 Mar 2011 11:19

63 lines
3747 bytes

On Mar 25, 4:30 am, Albrecht <albst...@gmx.de> wrote:
> On 24 Mrz., 20:36, William Hughes <wpihug...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>
> > On Mar 24, 2:59 pm, Albrecht <albst...@gmx.de> wrote:
>
> > > On 24 Mrz., 15:40, rich...@cogsci.ed.ac.uk (Richard Tobin) wrote:
>
> > > > In article <971970b6-b722-4f38-96cb-4aef5f17e...@b22g2000prb.googlegroups.com>,
>
> > > > Albrecht  <albst...@gmx.de> 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.
>
> > > > 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.
>
> > > No. The "number" 0.333...
>
> > Was not mentioned by anyone.
> > It appears to have gone over your head
> > that Richard was simply replacing pi
> > by 1/3.
>
> One can't simply replace pi by 1/3
> concerning the mentioned the
> aspects 'cause pi is irrational and 1/3 isn't.

The point which continues to elude you is that you
made no use of the fact that pi is irrational.
You only made use of the fact that the decimal
expansion of pi is infinite.  In your argument
you can replace pi by *any* number that
has an infinite decimal expansion.


              - William Hughes

Technical Details

Message-ID: <d890d384-18ea-4c71-911b-fe71b1939e6d@f31g2000pri.googlegroups.com>

Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!f31g2000pri.googlegroups.com!not-for-mail

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> <d40154c1-850e-4a3a-a845-810f4530f1be@k22g2000yqh.googlegroups.com> <8ae4030e-6a68-4e1c-b182-13e82f8781c5@d26g2000prn.googlegroups.com> <b7be27f9-ea0c-41f4-9f88-f94ae37eb36d@j35g2000prb.googlegroups.com>

Show Full Headers

Complete Article Headers

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
Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!f31g2000pri.googlegroups.com!not-for-mail
From: William Hughes <wpihughes@gmail.com>
Newsgroups: sci.logic,sci.math,comp.theory,sci.physics,aus.science
Subject: Re: A Guide for Cantor Cranks
Date: Fri, 25 Mar 2011 04:19:53 -0700 (PDT)
Organization: http://groups.google.com
Lines: 65
Message-ID: <d890d384-18ea-4c71-911b-fe71b1939e6d@f31g2000pri.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> <d40154c1-850e-4a3a-a845-810f4530f1be@k22g2000yqh.googlegroups.com>
 <8ae4030e-6a68-4e1c-b182-13e82f8781c5@d26g2000prn.googlegroups.com> <b7be27f9-ea0c-41f4-9f88-f94ae37eb36d@j35g2000prb.googlegroups.com>
NNTP-Posting-Host: 142.167.66.248
Mime-Version: 1.0
Content-Type: text/plain; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable
X-Trace: posting.google.com 1301052010 10947 127.0.0.1 (25 Mar 2011 11:20:10 GMT)
X-Complaints-To: groups-abuse@google.com
NNTP-Posting-Date: Fri, 25 Mar 2011 11:20:10 +0000 (UTC)
Complaints-To: groups-abuse@google.com
Injection-Info: f31g2000pri.googlegroups.com; posting-host=142.167.66.248; posting-account=1lE9SQkAAADFrJsDv61dh1YXcJ_ahy5I
User-Agent: G2/1.0
X-HTTP-UserAgent: Mozilla/5.0 (Windows NT 6.1; WOW64) AppleWebKit/534.24
 (KHTML, like Gecko) Chrome/11.0.696.16 Safari/534.24,gzip(gfe)

Reply to Parent Message