As for Newton’s exact mental processes, they are lost to history, and we are not going to get very specific theories about them. Newton can only give us an outside view of the circumstances of discovery. His most important finds were made alone in his private home and outside of academic institutions. Eliezer left school early himself. Perhaps a common thread?
Teachers select strongly for IQ among students when they have power to choose their students. This might be a more powerful aggregator of high-IQ individuals than transmission from parents to children. It might be the case that teachers don’t transmit any special powers to their students, but just like to affiliate with other high-IQ individuals, who then go on to do impressive things.
At a certain level of IQ (that of Yudkowsky, Newton) pedagogy becomes irrelevant and a child will teach itself, given the necessary resources. At this point, teachers are more likely to take credit for natural talent while doing nothing to aid it than they are to “transmit intellectual power.”
“Society begins to appear much less unreasonable when one realizes its true function. It is there to help everyone to keep their minds off reality.” Celia Green, The Human Evasion.
http://deoxy.org/evasion/4.htm