# Message #2696

From: Melinda Green <melinda@superliminal.com>

Subject: Re: Mathematical minds

Date: Wed, 20 Mar 2013 01:16:22 -0700

On 3/19/2013 11:52 PM, schuma wrote:

> — 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<br>
problem so absorbingly fascinating that they are really happy to<br>
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 "Nicolas Bourbaki

<http://en.wikipedia.org/wiki/Nicolas_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