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

Another idea if you want to push against the mental pressure that kills good ideas, from Paul Graham’s recent essay on how to do good work: “One way to do that is to ask what would be good ideas for someone else to explore. Then your subconscious won't shoot them down to protect you.” I don’t know of anyone using this technique, but it might work.

Despite this unhinged quality, or rather because of it, Récoltes et Semailles is a profound portrait of the creative act and the conditions that enable our ability to reach out toward the unknown.

Working with talented and open-minded collaborators, if you have the chance, can be a way to enter the zone. Nick Cave, when asked how he’s been able to reinvent himself so many times as a musician, says that his bandmates, especially Warren Ellis, simply will not play anything that sounds like what he’s done before. He has surrounded himself with

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

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

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