I am one such person. I finished college at the age of 16, and I knew I was merely very good at guessing the teacher's password. People's remarks about my intelligence were dismissed by me internally, because I was aware of my own ignorance.
However, what you say can be difficult to apply in practice during a semester. I see formal education as a method for gathering data, which you can use for Bayesian propagation after the fact. This is why it can feel like you learn much more thinking between semesters, rather than during.
Your notion of necessity of integration is uncorrelated to outlier students. Given an outlier student, I would be surprised if active integration of textbook data was lower than given a non-outlier student. In both cases this conditional probability is, sadly, very small.
I too am very good at guessing the teachers password in addition to really learning the textbook contents. I am talking specifically about those students that do not use guessing the teacher's password as a way to finish with honors. I always do the propagation during the learning itself and improve upon it after the fact (i'll suddenly realize that something is off or changed days later)
I said i had a hard time explaining it and your comment makes extra clear that i failed. I will use your feedback to improve the text i have in mind.
What did Will mean? To take an idea seriously is “to update a belief and then accurately and completely propagate that belief update through the entire web of beliefs in which it is embedded,” as in a Bayesian belief network (see right).
Belief propagation is what happened, for example, when I first encountered that thundering paragraph from I.J. Good (1965):
Good’s paragraph ran me over like a train. Not because it was absurd, but because it was clearly true. Intelligence explosion was a direct consequence of things I already believed, I just hadn’t noticed! Humans do not automatically propagate their beliefs, so I hadn’t noticed that my worldview already implied intelligence explosion.
I spent a week looking for counterarguments, to check whether I was missing something, and then accepted intelligence explosion to be likely (so long as scientific progress continued). And though I hadn’t read Eliezer on the complexity of value, I had read David Hume and Joshua Greene. So I already understood that an arbitrary artificial intelligence would almost certainly not share our values.
Accepting my belief update about intelligence explosion, I propagated its implications throughout my web of beliefs. I realized that:
I had encountered the I.J. Good paragraph on Less Wrong, so I put my other projects on hold and spent the next month reading almost everything Eliezer had written. I also found articles by Nick Bostrom and Steve Omohundro. I began writing articles for Less Wrong and learning from the community. I applied to Singularity Institute’s Visiting Fellows program and was accepted. I quit my job in L.A., moved to Berkeley, worked my ass off, got hired, and started collecting research related to rationality and intelligence explosion.
My story surprises people because it is unusual. Human brains don’t usually propagate new beliefs so thoroughly.
But this isn’t just another post on taking ideas seriously. Will already offered some ideas on how to propagate beliefs. He also listed some ideas that most people probably aren’t taking seriously enough. My purpose here is to examine one prerequisite of successful belief propagation: actually making sure your beliefs are connected to each other in the first place.
If your beliefs aren’t connected to each other, there may be no paths along which you can propagate a new belief update.
I’m not talking about the problem of free-floating beliefs that don’t control your anticipations. No, I’m talking about “proper” beliefs that require observation, can be updated by evidence, and pay rent in anticipated experiences. The trouble is that even proper beliefs can be inadequately connected to other proper beliefs inside the human mind.
I wrote this post because I'm not sure what the "making sure your beliefs are actually connected in the first place" skill looks like when broken down to the 5-second level.
I was chatting about this with atucker, who told me he noticed that successful businessmen may have this trait more often than others. But what are they doing, at the 5-second level? What are people like Eliezer and Carl doing? How does one engage in the purposeful decompartmentalization of one's own mind?