RobinHanson comments on Deliberate and spontaneous creativity - Less Wrong
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It seems to me that the limiting factor is usually the demand for such innovations, not their supply. There are usually lots of proposals for paradigm-busting innovations relative to the capacity to explore or test them. Until we can expand this capacity, it is hard to get very worked up over our not having an even larger supply of such proposals.
The result isn't that claimed / attempted paradigm-busting is limited to youth, but that successful paradigm-busting seems to start when young. I don't think we have an oversupply of paradigm-busters that are as good as they could get.
(If there's somewhere you go to get a reliable supply of these things, I have a large order to place with respect to certain areas of mathematical logic...)
Sure, there's no shortage of people claiming innovation if funded.