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Fantastic article! All true and well-explained. This Grothendieck quote

If you don’t see that what you are working on is almost obvious, then you are not ready to work on that yet.

reminds me of

Live in the future, then build what's missing

http://www.paulgraham.com/startupideas.html

The way I see it, both are saying that if you want to be creative, then you can't just think, study, or hope for inspiration. You have to immerse yourself and your mind in a different environment, in a different frame, and then new problems and solutions will be in plain view.

Another way to say it is that half of the problem is choosing the problem, or formulating the problem. But if you start from the same situation or frame, then you're likely to come up with the same problems as everyone else.






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