Re: A Guide for Cantor Cranks

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Article #844

#844

From: William Hughes
Date: Mon, 21 Mar 2011 06:54

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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

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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: Sun, 20 Mar 2011 23:54:55 -0700 (PDT)
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