Article View: sci.logic
Article #810Re: A Guide for Cantor Cranks
From: Graham Cooper
Date: Tue, 22 Mar 2011 11:39
Date: Tue, 22 Mar 2011 11:39
70 lines
4419 bytes
4419 bytes
On Mar 22, 9:04 pm, William Hughes <wpihug...@gmail.com> wrote: > On Mar 22, 12:44 am, William Hughes <wpihug...@gmail.com> wrote: > > > > > > > On Mar 22, 12:38 am, Graham Cooper <grahamcoop...@gmail.com> wrote: > > > > On Mar 22, 12:28 pm, William Hughes <wpihug...@gmail.com> wrote: > > > > > > > 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? > > > > > > Define GET. > > > > > Given a binary sequence b does there exist a binary > > > > sequence b' such that wherever b has a 0, b' has a 1 > > > > and wherever b has a 1 b' has a 0? > > > > Define exists where > > > exists n1, n2, ... > > > is defined > > > Please stop the transparent evasions and answer the question. > > > - William Hughes > > If you feel you have to put restrictions on "get" or "exists" > do so, but please attempt to be clear. I don't need to put a restriction on an infinite sequence of Exists d1, Exists d2... as I previously suggested. I am rechallenging your first declaration of 'making' a sequence from the identify diagonal. It's independent of the set of reals, so although it is defined, it is not specified. i.e. you haven't specified any particular real or any exclusion of particular reals. If you have a point then get on with it, I have made my argument crystal clear in 20 different flavours, it fairly evident that I can generate ANY sequence of binary digits at all from the generalised diagonal. If you answer each question in my post instead of snipping it will save me backtracking 10 posts every time. Do you agree with the following. A SET HAS NO INTRINSIC ORDER A SET MAY BE COUNTABLE THE 'PERMUTATION OF A SET' WHEN LISTED FOR INSPECTION/OUTPUT IS IRRELEVANT THE DIAGONAL DEPENDS ON THE PERMUTATION THE DIAGONAL IS IRRELEVANT No more responses where you go "NOPE! TELL ME THE ROW WHERE THE ANTI-DIAGONAL IS!" That's a waste of time. Address my questions specifically or I'm through!
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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!o15g2000prn.googlegroups.com!not-for-mail From: Graham Cooper <grahamcooper7@gmail.com> Newsgroups: sci.logic,sci.math,comp.theory,sci.physics,aus.science Subject: Re: A Guide for Cantor Cranks Date: Tue, 22 Mar 2011 04:39:44 -0700 (PDT) Organization: http://groups.google.com Lines: 70 Message-ID: <7726ca8d-3258-4702-9425-c9eed9751e84@o15g2000prn.googlegroups.com> References: <40e69d0c-eb77-4308-996e-c7dfc1a0ec1e@j13g2000pro.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> <6f430fa7-a29a-4bca-a208-782931687ea3@o15g2000prn.googlegroups.com> <1eb5066d-c62d-4485-ac45-257820a550f3@f31g2000pri.googlegroups.com> <f0e2f811-c4cc-46ea-a572-8971d6501557@q12g2000prb.googlegroups.com> <ea46382d-4ac7-4d5b-8d93-e6927e6d0f99@y31g2000prd.googlegroups.com> <7d043f73-a1fa-401e-9d9a-ab27353e3582@d28g2000yqf.googlegroups.com> <3ea67e8d-976a-4829-b02e-b088af1e600e@z3g2000prz.googlegroups.com> NNTP-Posting-Host: 120.17.142.8 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: posting.google.com 1300793984 26896 127.0.0.1 (22 Mar 2011 11:39:44 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Tue, 22 Mar 2011 11:39:44 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: o15g2000prn.googlegroups.com; posting-host=120.17.142.8; posting-account=EsDGawkAAAAN6xcF2fi-X0yb3ECD-3_I User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/4.0 (compatible; MSIE 8.0; Windows NT 6.1; Trident/4.0; SLCC2; .NET CLR 2.0.50727; .NET CLR 3.5.30729; .NET CLR 3.0.30729; HPMTDF; BRI/2),gzip(gfe)