A striking instance of this is de Groot and Simon’s work, where they estimated that expert chess players typically have internalized 25,000-100,000 different types of piece configuration. This lets them understand the board in ways completely inaccessible to beginners.
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Replying to @michael_nielsen
OK good point. Still, I don't think that's the generic case. And even with chess, you get to recognise configurations if you love analysing games.
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Replying to @DavidDeutschOxf
Incidentally, & anecdotally, until pretty recently I thought of understanding and memorizing as rather more separate. After I started experimenting with memory systems, I was shocked by how much faster I started to understand things.
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Replying to @michael_nielsen @DavidDeutschOxf
My eventual conclusion was that I had earlier greatly underestimated the role of memory in understanding. (This is much less true in areas I’m already an expert in; the effect is strongest for areas a little apart from things I know well.)
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Replying to @michael_nielsen
Can you recommend one that would convince me? I'm sceptical but I could try it on a thing I've been trying to understand that's a little apart from things I'm expert in.
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Replying to @DavidDeutschOxf
michael_nielsen Retweeted michael_nielsen
Probably not. Learning the memory system was, itself, not at all trivial. Though it’s now repaid the effort 10-fold. But some basic thoughts here:https://twitter.com/michael_nielsen/status/957763229454774272 …
michael_nielsen added,
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Replying to @michael_nielsen @DavidDeutschOxf
It was the experience with AlphaGo / deep reinforcement learning (described in that thread) that started me wondering if I’d been underestimating the role of memory. I’ve since confirmed that many more times.
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Replying to @michael_nielsen @DavidDeutschOxf
Somewhat to my chagrin. When teaching people things like (eg) elementary quantum mechanics, I often feel that they’re handicapped by not really remembering basic terms, notation etc. They think they’re struggling with high-level understanding, when really they just…
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Replying to @michael_nielsen @DavidDeutschOxf
… don’t remember that (say) |0> isn’t the 0 vector, or some similar error. Turns out I’ve been making the same mistake in my own learning.
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Replying to @michael_nielsen
Could it be that courses are just inherently too fast and too focused on coverage rather than exploration?
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Seems very plausible. It’s irritating (& valuable) to discover that something similar affects my own mental models of my own learning.
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