It's a shame that we're here in 2021 and the best we can do is basically just "selection bias." Basically all universities have no statistical proof that they can educate people beyond this. This is not to say that the schools are bad, but most of the education is simply due to the types of peers you have, not really due to the school itself. Princeton and Harvard admit, for the most part, people who already excelled…
> beyond a reasonable doubt the school itself has improved the persons educational prospects. How many people do genuinely care about this? People go to top schools in order to improve their life prospects, not necessarily to get the best education (but they get that too anyway).
However as a civilization it's important that a school like the one I'm hypothesizing exists because selection bias is not really sustainable, nor does it help those who genuinely want to improve but are otherwise not particularly able.
I also imagine if a "performance school" actually existed its influence would extend far beyond traditional education. It would prove that there's some means in which people can learn optimally. Presumably that mechanism would spread to all industries and we all would be better for it.