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To use an imperfect analogy -- don't try to push this too far -- when
you have an attractive melody, there are lots of other 'similar'
melodies that aren't attractive at all. It appears that attractive
melodies -- and useful mathematical systems -- are little islands
surrounded by seas of unattractive -- and useless -- ones.
The question that Minsky is addressing in his article is: Why should
this be the case?
In a sense, then, a mathematician is like an explorer looking for
islands in the Pacific, examples on free math homework help ;
back in the days before airplanes and
satellites. There's no way to know where they'll be, or just what
they'll be like, but -- to an explorer, at least -- there's nothing
quite as exciting as finding one. math forum.
To use an imperfect analogy -- don't try to push this too far -- when
you have an attractive melody, there are lots of other 'similar'
melodies that aren't attractive at all. It appears that attractive
melodies -- and useful mathematical systems -- are little islands
surrounded by seas of unattractive -- and useless -- ones.
The question that Minsky is addressing in his article is: Why should
this be the case?
In a sense, then, a mathematician is like an explorer looking for
islands in the Pacific, examples on free math homework help ;
back in the days before airplanes and
satellites. There's no way to know where they'll be, or just what
they'll be like, but -- to an explorer, at least -- there's nothing
quite as exciting as finding one. math forum.
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