I'd like to see more counterarguments to the thing about mathematicians being much less useful for ground-breaking work after their 20s that don't rely on extreme outliers like Witten, Andrew Wiles or Paul Erdös.
That would be difficult, since "groundbreaking work" automatically implies "extreme outlier".
In fact, I would expect that typical mathematicians are much more useful above 30 than below -- to a greater extent than is the case for the extreme outliers.
Series: How to Purchase AI Risk Reduction
Here is yet another way to purchase AI risk reduction...
Much of the work needed for Friendly AI and improved algorithmic decision theories requires researchers to invent new math. That's why the Singularity Institute's recruiting efforts have been aimed a talent in math and computer science. Specifically, we're looking for young talent in math and compsci, because young talent is (1) more open to considering radical ideas like AI risk, (2) not yet entrenched in careers and status games, and (3) better at inventing new math (due to cognitive decline with age).
So how can the Singularity Institute reach out to young math/compsci talent? Perhaps surprisingly, Harry Potter and the Methods of Rationality is one of the best tools we have for this. It is read by a surprisingly large proportion of people in math and CS departments. Here are some other projects we have in the works:
Here are some things we could be doing if we had sufficient funding: