Re: A Guide for Cantor Cranks

Article View: sci.logic

Article #846

#846

From: William Hughes
Date: Mon, 21 Mar 2011 11:09

61 lines
4335 bytes

On Mar 21, 4:09 am, Graham Cooper <grahamcoop...@gmail.com> wrote:
> On Mar 21, 4:54 pm, William Hughes <wpihug...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>
> > On Mar 21, 3:33 am, Graham Cooper <grahamcoop...@gmail.com> wrote:
>
> > > On Mar 21, 2:30 pm, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > > My point is you can't support your claim with 2 given diagonals.
>
> > > > My claim is that given a list of binary sequences I can find a
> > > > sequence
> > > > not on the list.
>
> > > > To support this claim I need only one diagonal.  When you gave me
> > > > two diagonals I chose one and supported the claim.
>
> > > > Your claim that you can get a generalized diagonal with any finite
> > > > prefix is true, but irrelevant.  You cannot set the generalized
> > > > diagonal to an arbitrary sequence.
> > > >                                      - William Hughes
>
> > > You haven't proven your sequence is not on the list in the 2 diagonal
> > > version.
>
> > > AD1 = 1110...
> > > AD2 = 0110...
>
> > > Can you prove EITHER real is missing from my (secret) list given only
> > > the above?
>
> > > IF YES, then by all means do so!
>
> > There is a sequence not on your secret list that starts
> > 1100.  Proof: the n'th digit means that sequence is not
> > the n'th line of the list.  There may be other sequences that
> > starts 1110 on your secret list.
> >                                  -William Hughes-
>
> Well that was concise!
>
> But it's invalid due to the pigeon hole principle.
>
> My similar claim to yours is: no matter what numbers I put into the
> pigeon holes, there are always more empty pigeon holes than filled
> pigeon holes.
>

The pigeon hole principle does not work
for infinite sets.

                 - William Hughes

Technical Details

Message-ID: <5d2c87a8-5926-4b27-a445-3bc3ab5c98d0@u3g2000vbe.googlegroups.com>

Path: arc1-ca.pugleaf.net!g2news2.google.com!postnews.google.com!u3g2000vbe.googlegroups.com!not-for-mail

References:

<40e69d0c-eb77-4308-996e-c7dfc1a0ec1e@j13g2000pro.googlegroups.com> <adc08cec-9301-4754-9fcf-61ffc38b5b74@s18g2000vbe.googlegroups.com> <ad7ef639-a0c7-4421-a8ca-1f121439228d@b4g2000vby.googlegroups.com> <9268ac3b-e542-412c-8927-a2fe082e6fb0@f31g2000pri.googlegroups.com> <07a61ecc-e3fd-4304-9977-f4f2724ef652@w21g2000yqm.googlegroups.com> <83c8a047-2cc6-4ed2-a74f-8329656c4f9f@j35g2000prb.googlegroups.com> <2d9a4e44-18dc-43fd-bec1-056b7b4ba26d@x11g2000yqc.googlegroups.com> <2298d465-e708-4801-be12-12c714cd98dc@f36g2000pri.googlegroups.com> <2e445897-6fc0-488d-9ab5-fcd1c7dc703d@f30g2000yqa.googlegroups.com> <efc21f2f-acb7-475d-87ab-fbfa35208c4c@o15g2000prn.googlegroups.com> <9c851574-eb70-45c4-b6e3-9351a7679223@k30g2000yqb.googlegroups.com> <92a4e0aa-6497-4357-8a6b-ecc706fa10f5@d26g2000prn.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!u3g2000vbe.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 04:09:23 -0700 (PDT)
Organization: http://groups.google.com
Lines: 61
Message-ID: <5d2c87a8-5926-4b27-a445-3bc3ab5c98d0@u3g2000vbe.googlegroups.com>
References: <40e69d0c-eb77-4308-996e-c7dfc1a0ec1e@j13g2000pro.googlegroups.com>
 <adc08cec-9301-4754-9fcf-61ffc38b5b74@s18g2000vbe.googlegroups.com>
 <ad7ef639-a0c7-4421-a8ca-1f121439228d@b4g2000vby.googlegroups.com>
 <9268ac3b-e542-412c-8927-a2fe082e6fb0@f31g2000pri.googlegroups.com>
 <07a61ecc-e3fd-4304-9977-f4f2724ef652@w21g2000yqm.googlegroups.com>
 <83c8a047-2cc6-4ed2-a74f-8329656c4f9f@j35g2000prb.googlegroups.com>
 <2d9a4e44-18dc-43fd-bec1-056b7b4ba26d@x11g2000yqc.googlegroups.com>
 <2298d465-e708-4801-be12-12c714cd98dc@f36g2000pri.googlegroups.com>
 <2e445897-6fc0-488d-9ab5-fcd1c7dc703d@f30g2000yqa.googlegroups.com>
 <efc21f2f-acb7-475d-87ab-fbfa35208c4c@o15g2000prn.googlegroups.com>
 <9c851574-eb70-45c4-b6e3-9351a7679223@k30g2000yqb.googlegroups.com> <92a4e0aa-6497-4357-8a6b-ecc706fa10f5@d26g2000prn.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 1300705763 16162 127.0.0.1 (21 Mar 2011 11:09:23 GMT)
X-Complaints-To: groups-abuse@google.com
NNTP-Posting-Date: Mon, 21 Mar 2011 11:09:23 +0000 (UTC)
Complaints-To: groups-abuse@google.com
Injection-Info: u3g2000vbe.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)

Reply to Parent Message