I enjoyed speaking with @EconTalker about the piece @michael_nielsen and I wrote last year about progress in science: http://www.econtalk.org/patrick-collison-on-innovation-and-scientific-progress/ …. (Article: https://www.theatlantic.com/science/archive/2018/11/diminishing-returns-science/575665/ ….)
Among the shrewdest observers of this demoralizing and perverse phenomenon was the great Alexander Grothendieck: "Of course, no creative mathematician can afford not to “speculate,” namely, to do more or less daring guesswork as an indispensable source of inspiration. (1/2)
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"The trouble is that, in obedience to a stern tradition, almost nothing of this appears in writing, and preciously little even in oral communication." (2/2)
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The very best students eventually supply for themselves the crucial investigative heuristics and inspirations denied them by the present system of scientific education. But this perverse need to reinvent the wheel discourages many, and delays those it does not discourage.
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