Haven't looked at the graph, but I have seen "debunkings" of the "they peak early" idea in relation to mathematics in particular. Seems that many great mathematicians died early, but if they live long enough (it's a hard life!) they can surpass themselves in middle and old age.
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There is no doubt that productivity of mathematicians declines with age but this is only natural & need not reflect declining “mental powers”. Mathematical research requires great concentration. Both, ability to concentrate for long periods & opportunity to do so tend to decline.
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I'll take your word for it!
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This question was addressed by S. Chandrasekhar in his talk at the University of Chicago in 1975. I suggest you read the transcript available online if you haven’t read it already.
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The title is ‘Shakespeare, Beethoven and Newton or Patterns of Creativity.’
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Young scientist, some of them, are seeing things with fresh eyes. The same eye that permitted Einstein to part with Maxwell would, in maturity, not permit him to accept that Bohr was onto something. "Science advances one death at a time".
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it's worse for mathematicians.
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It's a poor use of the mind to value only discovery, or to want only to innovate. Maturity brings this relative poverty into proper perspective.
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the young are ambitious, idealistic, energetic and have a fast CPU. time steals all that away.
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In the arts, unlike the sciences, you can draw on experience for inspiration. People keep having experiences over the course of a lifetime. They don't keep having "aha" moments about the nature of gravity or whatever after 25or whenever. Just one of those thangs.
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Most human achievement is basically an attempt to impress girls. That urge diminishes with age.
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Being productive early in life is evolutionarily adaptive. Kanazawa has explained it well.
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Hubris is a terrible thing.
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