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/ ….)
Scientific investigation is practiced now almost exclusively by academics whose teaching systematically misleads by concealing their heuristics and inspirations. Students gain mastery of existing knowledge, but remain untutored in the arts of successful groping about in the dark.
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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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