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NancyLebovitz comments on Harry Potter and the Methods of Rationality discussion thread, March 2015, chapter 119 - Less Wrong Discussion
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That's a good point. But I imagine a more powerful Hermione would not only have a good memory she'd be able to use it. If Harry makes an offhand comment like
"Most spells are from garbled Latin" she should be able to say something like:
"Around 80% of First Year spells fit that description. I noticed it when I was looking at my textbooks and based on linguistic analysis I suspect that the direction is actually reversed: Latin was at some point heavily influenced by spellwords. Here's my data and the linguistic evidence."
But that doesn't happen even to that extent. We don't get her making any discoveries at all. Instead the power boosted Harry makes fundamental discoveries about potions and transfiguration and about casting the Patronus. Why can't Hermione make any on her own?
That's a good point. Fortunately, HPMOR is hardly the last Harry Potter fanfic.