Cultivating a State of Mind Where New Ideas Are Born

In June 1983, Alexander Grothendieck sits down to write the preface to a mathematical manuscript called Pursuing Stacks . He is concerned by what he sees as a tacit disdain for the more “feminine side” of mathematics (which is related to what I’m calling the solitary creative state) in favor of the “hammer and chisel” of the finished theorem. By el... See more

Even if you know what it feels like to be completely open to where your curiosity wants you to go, like Grothendieck, it is a fragile state. It often takes considerable work to keep the creative state from collapsing, especially as your work becomes successful and the social expectations mount. When I listen to interviews with creative people or re

... See more

In June 1983, Alexander Grothendieck sits down to write the preface to a mathematical manuscript called Pursuing Stacks . He is concerned by what he sees as a tacit disdain for the more “feminine side” of mathematics (which is related to what I’m calling the solitary creative state) in favor of the “hammer and chisel” of the finished theorem. By el

... See more

It is as if there existed, for what seems like millennia, tracing back to the very origins of mathematics and of other arts and sciences, a sort of “conspiracy of silence” surrounding [the] “unspeakable labors” which precede the birth of each new idea, both big and small[.]

In fact, most of these comrades who I gauged to be more brilliant than I have gone on to become distinguished mathematicians. Still, from the perspective of 30 or 35 years, I can state that their imprint upon the mathematics of our time has not been very profound. They’ve all done things, often beautiful things, in a context that was already set ou

... See more

One thing that sets these intensely creative individuals apart, as far as I can tell, is that when sitting with their thoughts they are uncommonly willing to linger in confusion. To be curious about that which confuses. Not too rapidly seeking the safety of knowing or the safety of a legible question, but waiting for a more powerful and subtle ques

... See more

What solitude gives you is an opportunity to study what personal curiosity feels like in its undiluted form, free from the interference of other considerations. Being familiar with the character of this feeling makes it easier to recognize if you are reacting to the potential in the work you are doing in a genuinely personal way, or if you are givi

... See more

Good ideas — actually, no, great ideas are fragile. Great ideas are easy to kill. An idea in its larval stage — all the best ideas when I first heard them sound bad. And all of us, myself included, are much more affected by what other people think of us and our ideas than we like to admit.

If you are just four people in your own door, and you have a

... See more

One thing that sets these intensely creative individuals apart, as far as I can tell, is that when sitting with their thoughts they are uncommonly willing to linger in confusion.To be curious about that which confuses.