Pringlescan comments on Harry Potter and the Methods of Rationality discussion thread, part 12 - Less Wrong
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Any option that doesn't allow Hermoine to be cleared of all charges to go back to school is not an option
The hidden 7th Option.
Use a false memory charm on a student to generate testimony framing someone else as false memory charming Draco and Hermoine. My favorite path right now it to set up Lord Jugson using the time turner, invisibility cloak, tampering with the wands, and a False memory charm on a student. I go into more detail here http://lesswrong.com/r/discussion/lw/axe/harry_potter_and_the_methods_of_rationality/64am
That would fall under 5. "... find someone and give them up as Dracro's assailant/Narcissa's killer, without considering their actual guilt." And like any option that falls under that broad category, we don't know how long it would take to carry out, so it's more "Let Hermione go to Azkaban while framing Lord Jugson." (action 4 plus 5)
If I were going for the safe, boring route, I'd pick 4 combined with trying to determine (and prove) the actually guilty party who false memory charmed Hermione. There aren't very many people who;