1) (Harry tells Voldemort his death could hijack the horcrux network) doesn't seem unlikely at all. Both hints from within the story (the Marauder map) and on the meta level ("Riddles and Answers") suggest an unprecedent congruence of identity, at least in the sense of magical artifacts (the map) being unable to tell the difference.
I did not post it since strictly speaking Harry should keep quiet about it.Losing the challenge of not dying (learned to lose), but increasing his chances of winning the war. Immediately even: Since the new horcrux system enables ghost travel, Harry could just try and overwrite / take possession of Voldemort body. Either it works and he wins, or it doesn't and the magic resonance kills ... well, kills only Voldemort, since Harry at that point would be the undead spirit.
That solution occurred to me as I was reading the challenge, and I was puzzled that on my (admittedly cursory) reading of a bunch of solutions, I did not find any exactly resembling it. Either the approach is deeply flawed and I don't see it, or everyone else is taking this as literary as I did and holding off on proposing it (since it may not be precisely the teacher's password as worded in the challenge), or something else.
I'm not sure that Harry should keep quiet. There are three cases:
1) Horcrux hijacking doesn't work at all. Speaking up prolongs Harry's life until Voldemort does an experimental test.
2) Horcrux hijacking works, but Voldemort can devise a workaround. Speaking up gives up an easy win, but also prolongs Harry's life until Voldemort does an experimental test and devises a workaround.
3) Horcrux hijacking works, and there's no workaround. It doesn't matter if Harry speaks up or not.
I feel that case 1 is much more probable than case 2, so speaking up is a good idea. If we had strong arguments for case 2, I'd recommend keeping quiet instead.
This is a new thread to discuss Eliezer Yudkowsky’s Harry Potter and the Methods of Rationality and anything related to it. This thread is intended for discussing chapter 113.
There is a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author’s Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)
IMPORTANT -- From the end of chapter 113: