sark comments on Less Wrong Book Club and Study Group - Less Wrong

34 Post author: Morendil 09 June 2010 05:00PM

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Comment author: Vladimir_Nesov 09 June 2010 07:11:46PM *  9 points [-]

I found that even where I can parse a technical text (understand all introduced notions, without needing to look up the notions that are used without being defined), it's not a sufficient condition for me being ready for the text. It takes a lot of background effort to build technical fluency that allows to take away a deeper and lasting understanding of a given topic, fluency that isn't required to merely parse the text, or even solve the exercises and ace the exam. Without this fluency, without being prepared, acquired knowledge remains superficial, never becomes very useful, and quickly fades out of memory.

It's like reading a novel in a barely known foreign tongue, translating with a dictionary, and juggling the syntax without feeling the flow of the language. Technically, you can translate everything, but there is no hope for understanding the subtle points of the narrative, and the only way to get there is through obtaining fluency first, and reading the novel later.

What this tells me is that where I can't even parse a text on my own (i.e. there is a non-negligible number of statements I can't understand, or exercises I don't see how to solve), this is an absolutely unambiguous indicator that I'm not ready to try this particular text, and should work on something more elementary.

(This is a strategy for building deep knowledge of a favored subject; it's much more useful to skim in order to obtain superficial general knowledge of many diverse subjects, although elementary textbooks should still be the way to go, not recent research papers.)

Comment author: sark 10 June 2010 09:58:17AM 1 point [-]

Yes!

This reflects in the fact that great artists are invariably technical virtuosos. Mastery makes way for creativity.

This is due to limited working memory. You may be able to juggle the concepts/math of a particular field in working memory, but that takes away precious space for the combinatorial exploration of novel ideas, or even higher level concepts. Only with practice, when most of the steps in your thought processes can be carried out subconsciously, are you free to do higher-level thinking.

It's not all about working memory of course, since there is subconscious exploration going on as well. Still, things must surface to working memory to be checked that they make sense.

Also, there is also the fact that concepts are built upon concepts. To think at a higher level, you have to truly understand how concepts of the lower level work. It is simply impossible to do it all with limited working memory capacity.