This post made me realize just how important it is to completely integrate the new things you learn.
I have been reading a lot of books and blogs on the subject of students that finish school with honors, but don't seem to work very hard while doing so. I also met one of those people in person (he finished an entire 4 year curriculum with honors in just 3 months and is now a professor of that content)
It all boils to the same thing: Whatever the textbook is trying to tell you, make sure you integrate that in your life. Only then will you see if you really understood what it was saying and if you are missing any extra information, or if the information in the book is wrong. Once integrated you do not need any extra studying to get an A/10 for the exam.(because you will have recursively updated all your beliefs to include the thing you where supposed to learn)
Some of these books and blogs go into detail on how to how to do this. One of the methods i read was making a doodle of the idea in your notebook. This doodle borrows heavily from your current state of knowledge. An example of what I did: To model the process of taking a raw resource and making it into a profitable end product i drew a mine with rocks coming out, then a table with a chisel on the rock and finally a diamond with a price-tag. I know how diamonds are made so i could use that to represent this process.
There are many more methods, another that i have not yet tried to use is basically making a flashcard.: Question/Evidence/Conclusion http://calnewport.com/blog/2009/04/06/4-weeks-to-a-40-streamline-your-notes/
EDIT: I'm having a hard time explaining what i am trying to say, i will post a new comment or top level post if i manage to figure it out. Basically I'm trying to say that there already well working and documented methods for connecting and updating beliefs in the world of outlier student research.
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 inte...
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?