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On 3/19/2013 11:52 PM, schuma wrote:
> --- In 4D_Cubing@yahoogroups.com, Melinda Green
>> And then there are those really rare cases where someone goes in the
>> opposite direction by recognizing and describing how two sometimes
>> seemingly unrelated results share a previously unknown deep relationship=
.
> "Good mathematicians see analogies. Great mathematicians see analogies be=
tween analogies." -- Stefan Banach
>
> Reference:
>
> http://en.wikipedia.org/wiki/Stefan_Banach
I'm going to change subject lines again to share another quote that=20
applies directly to our newest member's sleeping problem, this from the=20
all-knowing Coxeter himself:
/"My advice to others who wish to develop creativity is to choose a
problem so absorbingly fascinating that they are really happy to
think about it at every available moment..." /
I had to look up the name of the anti-diagram Cabal that I mentioned=20
that Coxeter was up against. They were a semi-secret group of set=20
theorists that published under the pseudonym "Nicolas Bourbaki=20
It also appears that the Bourbaki group published a generalization of=20
the author of your quote, Stefan Banach, so there is a direct connection=20
between our authors and the Cabal.
Interestingly another member was Beno=EEt Mandelbrot's uncle. I wonder how=
=20
they got along seeing as how the nephew made his big discovery almost=20
entirely due to some computer-generated images.
So what does it say that I see analogies between great mathematicians?=20
Not much I guess since it seems rather obvious. Still, there are some=20
fascinating relationships here.
-Melinda
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--- In 4D_Cubing@yahoogroups.com, Melinda Green <melinda@...> wrote:
And then there are those really rare cases where someone goes in the
opposite direction by recognizing and describing how two sometimes
seemingly unrelated results share a previously unknown deep relationship.
"Good mathematicians see analogies. Great mathematicians see analogies between analogies." -- Stefan Banach
Reference:
http://en.wikipedia.org/wiki/Stefan_Banach
I'm going to change subject lines again to share another quote that
applies directly to our newest member's sleeping problem, this from
the all-knowing Coxeter himself:
"My advice to others who wish to develop creativity
is to choose a problem so absorbingly fascinating that they are
really happy to think about it at every available moment..."
I had to look up the name of the anti-diagram Cabal that I mentioned
that Coxeter was up against. They were a semi-secret group of set
theorists that published under the pseudonym "
Bourbaki".
It also appears that the Bourbaki group published a generalization
of the author of your quote, Stefan Banach, so there is a direct
connection between our authors and the Cabal.
Interestingly another member was Benoît Mandelbrot's uncle. I wonder
how they got along seeing as how the nephew made his big discovery
almost entirely due to some computer-generated images.
So what does it say that I see analogies between great
mathematicians? Not much I guess since it seems rather obvious.
Still, there are some fascinating relationships here.
-Melinda
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