alt Hacker NewsI thought Grothendieck's "example" was a good one. It's not that the academic environment stymied him, it's that he built up a practice of solitary creativity that helped him take inputs from his surroundings and fold them into his own framework. Both the solitary practice and the communication with fellow leading mathematicians was essential for his growth and output.
I think the point the post was trying to make was that; spend too long in an "academic" or "professional" environment and you become too contoured by the mores of the establishment to truly innovate. Spend too little time and you toil away in a cave, at best reinventing things that were invented already without your knowledge. I think in a heavily networked world like today, where there's also a lot of competitive pressure in these establishments, the solitude is probably worth thinking about more.
It's something I think a lot about in terms of capital allocation in academia and in tech, both in terms of monetary capital and the capital of time (which is limited by its very nature.) Investors and funds are heavily affected by the trends surrounding them but a minimum amount of funding and social buy-in is needed to really develop ideas. There's a lot more I have to say on the topic but it's perhaps a little too tangent to this article itself.
To academics, how often do you end up chasing an idea because it was popular in a conference? How often do you chase grants? Math might be one of the "easier" fields to be adventurous since mathematical innovation can be independently verified relatively simply compared to many other fields.
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Other examples like Grothendieck: Wiles (Fermat), Perelman (Poincare), Newton (calculus), Ramanujan.
> Spend too little time and you toil away in a cave, at best reinventing things that were invented already without your knowledge.
Grothendieck disputes this point. He reinvented the wheel many times when he was 17-20 years old, but believes it was training for accessing the required cognitive spaces. He says:
A few years after I finally established contact with the world of mathematics at Paris, I learned, among other things, that the work I’d done in my little niche [. . . had] been long known to the whole world [. . .]. In the eyes of my mentors, to whom I’d described this work, and even showed them the manuscript, I’d simply “wasted my time”, merely doing over again something that was “already known”. But I don't recall feeling any sense of disappointment. [. . .] Without recognizing it, I’d thereby familiarized myself with the conditions of solitude that are essential for the profession of mathematician, something that no-one can teach you. [. . .]And here I am thinking that I should simply give some more compliments to my colleagues because I want to spread genuine good vibes. Even if it already has been “invented” by others, I am not hearing enough genuine compliments in the workplace.
Meaning that even if an idea already has been invented, that doesn’t mean there’s no room for your implementation of it. There still may be room.
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I didn't invent IoT. But in 2001 I independently proposed building something we'd now immediately recognise as IoT, and my lecturer dismissed it as simplistic and pointless for my dissertation..
Academia is only as good as the people in it.
I ended up doing traffic shaping in the Linux kernel because my house mate had edonkey running all day..