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2 Aug 2024 06:17:35 EDT (-0400)
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From: Darren New
Subject: Re: Solvable because it's solvable...
Date: 4 Jan 2008 14:09:45
Message: <477e8479$1@news.povray.org>
somebody wrote:
> If I don't trust you, no amount of reiterating that it's solvable will
> convince me ( "if ((((x=true)=true)=true..." syndrome ).

There are also puzzles of the sort "because I have some of the same 
information you do, and because you *can't* solve the problem, I *can* 
solve the problem."

http://puzzles.nigelcoldwell.co.uk/twelve.htm

Fun puzzles.

-- 
   Darren New / San Diego, CA, USA (PST)
     It's not feature creep if you put it
     at the end and adjust the release date.


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From: Warp
Subject: Re: Solvable because it's solvable...
Date: 4 Jan 2008 21:29:40
Message: <477eeb94@news.povray.org>
somebody wrote:
> A problem is either solvable, not solvable, or a fields medal candidate. We
> can safely ignore the last possibility here I think. If you ask me a
> problem/puzzle to find a solution to, and if I trust that you are not
> leading me to a wild goose chase, it means it's given that it *is* solvable.
> If I don't trust you, no amount of reiterating that it's solvable will
> convince me ( "if ((((x=true)=true)=true..." syndrome ).

  Well, it should suffice to say that I couldn't have solved the problem
without the hint given by the "the problem is solvable". While what it
stated is more or less obvious, it was still a rather helpful *hint*. It
made me think about it in a different way than I would have it if hadn't
been there.

  In other words, it made the problem easier, at least if you get the
hint and deduce what is it trying to insinuate.


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From: Kenneth
Subject: Re: Solvable because it's solvable...
Date: 9 Jan 2008 03:25:00
Message: <web.47848387d3adefc378dcad930@news.povray.org>
Warp <war### [at] tagpovrayorg> wrote:
> I haven't looked at the solution. This is what I'm thinking:
>
> ...Thus the problem is reduced to calculating the trivial volume of a
> sphere of diameter of 6m, which should be something like pi*r^3*4/3 =
> pi*3^3*4/3 = pi*36.
>

Nice one, Warp. A good demonstration (to my mind) of problem-solving using
"reductio ad absurdum," if that's the properly-spelled phrase. In this case,
reducing the cylinder down to a radius of zero and thus eliminating it
altogether.

Ken W.


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