🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: sci.logic
Article #802

Re: A Guide for Cantor Cranks

#802
From: William Hughes
Date: Mon, 21 Mar 2011 21:48
85 lines
4715 bytes
On Mar 21, 4:58 pm, Graham Cooper <grahamcoop...@gmail.com> wrote:
> On Mar 22, 5:31 am, William Hughes <wpihug...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>
> > On Mar 21, 3:39 pm, Graham Cooper <grahamcoop...@gmail.com> wrote:
>
> > > On Mar 22, 4:11 am, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > On Mar 21, 2:27 pm, Graham Cooper <grahamcoop...@gmail.com> wrote:
>
> > > > > > For L1 not containing every real number I can certainly
> > > > > > form the sequence
>
> > > > > > L(1,1), L(2,2), L(3,3) ...
>
> > > > > > and change every 0 to 1 and every 1 to 0.
>
> > > > > > Your claim is that the is a list L2 for which
> > > > > > I cannot do this.
>
> > > > > >                        - William Hughes-
>
> > > > > My claim is your sequence is random or arbitrary.
>
> > > > No, once the list is fixed the sequence
>
> > > > L(1,1), L(2,2), L(3,3)
>
> > > > exists and is fixed. Do you really think
> > > > you can give a list and I cannot make a sequence
> > > > from the main diagonal?  (If there is a list
> > > > containing all binary sequences I cannot, so
> > > > this is what you are claiming.)
>
> > > >     - William Hughes
>
> > > > P.S. Nothing special about the main diagonal by the way,
> > > >      It's just the diagonal I happened to choose.
>
> > <snip refusal to answer question>
>
> > Do you really think that you can give me a list and
> > I cannot make a sequence from the main diagonal?
>
> >                 - William Hughes-
>
> no!

Do you really thing that there is a binary sequence
from which you cannot get another binary sequence
by changing every 0 to 1 and every 1 to 0?

> but you can make any sequence from any diagonal.
>

Almost, but only by shuffling rows and getting
new list.  And you can't make any sequence,
just most sequences.

> Take your pick.  D[1] = 0..9  D[2] = 0..9  D[3] = 0..9  ....
>
> Will you answer my question whether your claim is equivalent/also
> to give a missing real from any generalised diagonal,

Yes, I have already said so numerous times.  There is nothing
special about the "main diagonal" it is just the one I
happen to use.


> and if that is equivalent to the concealed digits methodology?

If you cleaned this up to the point one could be relatively
certain, probably.

                        - William Hughes
Technical Details
Message-ID: <6f430fa7-a29a-4bca-a208-782931687ea3@o15g2000prn.googlegroups.com>
Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!o15g2000prn.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> <bf846398-3b78-4464-9f54-f95dc5233128@k10g2000prh.googlegroups.com> <0a04118c-f5e5-4d09-ab5a-e8df3212dc71@i4g2000pro.googlegroups.com> <72a0e3f5-9728-4be9-8fdb-0b73e3d855c7@d12g2000prj.googlegroups.com> <32625bfd-e1d6-4ee6-b3a6-b26f77abc437@t19g2000prd.googlegroups.com> <f129e0bc-51d6-4ca2-a4b0-2880d77f7430@x8g2000prh.googlegroups.com> <b8aa5784-cf67-45f7-a2a3-8fb846dd5e13@i35g2000prd.googlegroups.com> <0b1f820e-6e15-4169-b69a-63a7cd7254ab@i4g2000pro.googlegroups.com> <4f02cf44-2d47-4c18-8a39-4d7f7b07497e@n2g2000prj.googlegroups.com> <725d4daa-6b98-4286-83e6-1619fa2a8b3c@k15g2000prk.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: fd648,af7892021029fe4a
X-Google-NewGroupId: yes
X-Google-Attributes: gide4b186767d,gid9ef9b79ae9,giddb42311052,domainid0,public,usenet
X-Google-Language: ENGLISH,ASCII
Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!o15g2000prn.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: Mon, 21 Mar 2011 14:48:36 -0700 (PDT)
Organization: http://groups.google.com
Lines: 85
Message-ID: <6f430fa7-a29a-4bca-a208-782931687ea3@o15g2000prn.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>
 <bf846398-3b78-4464-9f54-f95dc5233128@k10g2000prh.googlegroups.com>
 <0a04118c-f5e5-4d09-ab5a-e8df3212dc71@i4g2000pro.googlegroups.com>
 <72a0e3f5-9728-4be9-8fdb-0b73e3d855c7@d12g2000prj.googlegroups.com>
 <32625bfd-e1d6-4ee6-b3a6-b26f77abc437@t19g2000prd.googlegroups.com>
 <f129e0bc-51d6-4ca2-a4b0-2880d77f7430@x8g2000prh.googlegroups.com>
 <b8aa5784-cf67-45f7-a2a3-8fb846dd5e13@i35g2000prd.googlegroups.com>
 <0b1f820e-6e15-4169-b69a-63a7cd7254ab@i4g2000pro.googlegroups.com>
 <4f02cf44-2d47-4c18-8a39-4d7f7b07497e@n2g2000prj.googlegroups.com> <725d4daa-6b98-4286-83e6-1619fa2a8b3c@k15g2000prk.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 1300744116 19372 127.0.0.1 (21 Mar 2011 21:48:36 GMT)
X-Complaints-To: groups-abuse@google.com
NNTP-Posting-Date: Mon, 21 Mar 2011 21:48:36 +0000 (UTC)
Complaints-To: groups-abuse@google.com
Injection-Info: o15g2000prn.googlegroups.com; posting-host=142.167.66.248; posting-account=1lE9SQkAAADFrJsDv61dh1YXcJ_ahy5I
User-Agent: G2/1.0
X-HTTP-UserAgent: Mozilla/5.0 (Windows; U; Windows NT 6.1; en-US)
 AppleWebKit/534.16 (KHTML, like Gecko) Chrome/10.0.648.151 Safari/534.16,gzip(gfe)