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gwern comments on Harry Potter and the Methods of Rationality discussion thread, part 10 - Less Wrong
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Entertainingly, precisely this trick can be used in Morrowind to beat what is meant to be a 20-40 hour game in a matter of minutes. Global victory condition, indeed.
I have to imagine there is no "clever potion" in MoR, though, because otherwise Harry would have seized on it instantly. It's too much like the recursive self-improvement we look for in AIs for Eliezer or Harry to have missed this possibility.
And we'd expect Ravenclaw members to already be using any clever potions or at least have rules against them (either imposed by the school or by themselves as 'cheating'). In canon, they all know about the Ravenclaw diadem which is supposed to make you more clever. So it's reasonable if there were any such thing, Harry would have been told about it (everyone knowing his interest in self-improvement or being more clever), heard of it, or read about it by now.
Yes, because people want Harry Potter to be smarter than he is.
If it existed and was semi-public knowledge, then Lucius would have made a priority of acquiring some for Draco.
Draco doesn't even need to know about this.
Who says he didn't? I notice that Draco is unusually bright, as are Crabbe and Goyle. It would certainly be convenient for the Malfoys if the youngest sons of all three families were significantly above average....
^ Truth.