gwern comments on Helpless Individuals - Less Wrong

42 Post author: Eliezer_Yudkowsky 30 March 2009 11:10AM

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Comment author: gwern 03 December 2010 07:06:41PM 3 points [-]

Do we have any data about effectiveness of old science?

My usual link is to Human Accomplishment; Murray thinks that post 1890s or so there seems to be a downwards trend in how many figures of eminence there are per capita. This is masked by the simultaneous massive increase in world population and scientists. (He only calculates data up to the 1950s using reference books from the 1990s, which, along with his statistical techniques that escape my memory, hopefully attenuates or eliminates entirely questions about recency effects.)

(If you're interested, I have Human Accomplishment as an ebook.)

Independently of Murray, I believe I have seen mainstream articles to the effect that science over the 20th century has seen a striking increase in average number of authors per paper and similar metrics.

I'm not really sure I buy the low-hanging fruits argument. The 20th century has seen all sorts of new fields with tremendous low-hanging fruit. Look at computer science - it seems like everything in it was invented or thought about in the 50s and 60s and we are only just getting around to really implementing it all. And there seems to be similar problems in artistic fields (why would low-hanging fruits be exhausted simultaneously?). A quote-provoking quote for consideration from Tyler Cowen's Creative Destruction:

"The population of Renaissance Florence did not typically exceed 80,000 and at times fell well below that figure. To put the Florentine achievement in proper perspective with regard to population, consider that in 1984 approximately 35,000 painters, sculptors, potters, and art historians graduated from American art schools."

Comment author: David_Gerard 03 December 2010 07:27:54PM -1 points [-]

This is masked by the simultaneous massive increase in world population and scientists.

This makes it extremely difficult to compare such numbers pre-20th Century (indeed, pre-1945) and after.

Comment author: gwern 03 December 2010 07:44:07PM 2 points [-]

Perhaps I wasn't clear. You may not see any absolute decline if you simply count milestones or # of papers or something. You see the decline if you count milestones/breakthroughs per scientist, or something. Which is the question - are we seeing diminishing marginal returns? The data suggests yes. Then we can discuss why the diminishing returns. (Government poisoning academia? Low-hanging fruit exhausted?)

Comment author: David_Gerard 03 December 2010 07:47:54PM *  0 points [-]

Or just a lot more people going into science than would have before, thus getting a lot of the less-brilliant in the job? That's the obvious one that springs to mind. Particularly post-1945, when the demonstration of the power of technical superiority in World War II and fighting the Cold War really opened the gushers of science funding.

Comment author: gwern 03 December 2010 08:11:45PM 1 point [-]

That would be a variant on 'government poisoning academia', I suppose. Counter-arguments would be the Flynn effect (more brilliant people), increase in prestige of sciences versus humanities (bigger share of brilliant people), and existence of a decline prior to 1945.