shminux comments on Harry Potter and the Methods of Rationality discussion thread, part 18, chapter 87 - Less Wrong Discussion
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Skills are partly memories, but memories are not skills. You don't learn to ride a bike just by watching someone else do it and simply remembering it later (EDIT: though it helps, thanks to mirror neurons). I'd guess that procedural and other implicit memory is not pensievable.
EDIT: while looking stuff up, I came across this fascinating study on off-line memory consolidation.
Watching a bike merely forms a particular subset of memories, and does not show that 'memories are not skills'.
Yes, that rather is the question: how far does the Pensieve go? Is it merely a game-breaker for the kind of declarative knowledge schools spend so much time on, or a game-breaker for pretty much everything they might teach?
Not sure what your point is. If there were a way to use a potion, a spell, a charm or a human sacrifice to master the school curriculum without spending years in Hogwarts, surely there would be some students who did just that.
Which could be said of the Felix potion as well.