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On Sat, Jul 25, 2009 at 8:46 PM, Ben wrote:
> However, this context-free benchmark may not appropriate for some other 
> knowledge.  For instance, suppose I wanted to remember linear/abstract 
> algebra for the rest of my life well enough that, should I run across a paper 
> that uses basic linear algebra, I could spend 10 minutes reviewing and be 
> able to understand the paper.  This is different from being able to remember 
> in a few seconds the definition of a "homology" or whatever.

What if you have a deck principally of small examples and questions?

I've been learning Scheme through SICP, the SICP online tester, and
the R5RS report defining Scheme; I have essentially copied all the
small examples of syntax and semantics I've come across (and added new
ones by modifying those examples to cover in detail edge cases I
didn't understand). While some of my cards are definition-style (for
fundamental functions), most of them are those examples - 'evaluate
these 3 expressions' ultimate result', 'is this syntax correct:
yes/no' etc.

Why wouldn't this approach let me understand random Scheme I come
across in ten years - modulo the advanced stuff I simply haven't
gotten to yet, or the use of libraries I don't know? Certainly I would
expect it to. I don't see any reason why this couldn't be true of
linear algebra. Is it that you don't have a mass of problems and
examples for linear algebra, only an impoverished set of definitions
and theorems?

- --
gwern
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