Addendum to "Prolificity: Stock your head"
When I jotted down my thoughts on keeping problems in mind that you could think about in the odd moments of the day, I had forgotten this anecdote from the late mathematician Gian-Carlo Rota:
The quotation is taken from Rota's talk, "Ten Lessons I Wish I Had Been Taught." (You can find a nice PDF version here.) In finding the links to it, I've discovered much more about Rota himself. He was a fascinating man and a great scholar, as this obituary from MIT makes clear. His work bridged mathematics, philosophy, writing, editing, and teaching. From what I can tell--especially given this page of remembrances and honors--Rota's life presents a fine model of what a scholar should aspire to be. Besides the speech already quoted, I can recommend Rota's lecture on "10 Lessons of an MIT Education." Even if your field is not mathematics (mine certainly isn't!), there is much of value there.
Richard Feynman was fond of giving the following advice on how to be a genius. You have to keep a dozen of your favorite problems constantly present in your mind, although by and large they will lay in a dormant state. Every time you hear or read a new trick or a new result, test it against each of your twelve problems to see whether it helps. Every once in a while there will be a hit, and people will say, "How did he do it? He must be a genius!"I say "forgotten," because I stumbled across it yesterday while on a laptop cleaning frenzy. I had jotted down Rota's words a couple of years ago . . . and then neglected to keep them in my own mind during the interim.
The quotation is taken from Rota's talk, "Ten Lessons I Wish I Had Been Taught." (You can find a nice PDF version here.) In finding the links to it, I've discovered much more about Rota himself. He was a fascinating man and a great scholar, as this obituary from MIT makes clear. His work bridged mathematics, philosophy, writing, editing, and teaching. From what I can tell--especially given this page of remembrances and honors--Rota's life presents a fine model of what a scholar should aspire to be. Besides the speech already quoted, I can recommend Rota's lecture on "10 Lessons of an MIT Education." Even if your field is not mathematics (mine certainly isn't!), there is much of value there.

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