Solution Class 3: "You Are Not My True Enemy", aka Talking his Way Out of the Box
The Dark Lord's utility function isn't changeable by talking, but that doesn't prevent Harry from convincing him that his current utility function would be better served by leaving Harry alive, or possibly even helping with Harry's plans. I propose a step-by-step method for doing so below.
Step 1: Explain in Parseltongue that while his power over Dementors must be understood for oneself, as a hint towards this power he will share what his happy thought is for the Patronus Charm. Furthermore, he will offer a proposal for what the Dark Lord might want to do with this knowledge.
Step 2: Explain in Parseltongue that his happy thought is defeating death for everyone (and the improved, much less destructible human race that would come along with doing that well).
Step 3: Point out in Parseltongue that "everyone" includes Voldemort and that Harry's earlier statement of preferring Quirrell’s life to his death still holds after his identity was revealed. Segue into explaining that his decision to shoot was made intending only temporary incapacitation rather than death.
Step 4: Tempt Voldemort, still in Parseltongue, by offering an improved society where he is not only safe from death, but can also plot against many competent opponents including deceased ones like Salazar Slytherin. Implicitly contrast this with Voldemort's plan, which is unlikely to produce any competent opponents and leaves him still worrying about his Horcruxes. What will he do if some other magical civilization eventually destroys that golden plaque?
Step 5: Continue tempting Voldemort in Parseltongue by pointing out that in such a society he wouldn't have to deal with idiots and wouldn’t have to worry about others destroying the world. State that he knows how annoying idiots are to Voldemort, so this is a major benefit. Further, remind him that Harry must stay away from destruction, or even allowing others the knowledge with which to destroy the world, in pursuing this society.
Step 6: Explain in Parseltongue that the Vow also requires him to point out that Voldemort might be the one to fulfill the prophecy, especially since he was its hearer and many people would consider his plan highly destructive.
Step 7: After piquing Voldemort's curiosity about why the Vow might require Harry to say this, state in Parseltongue that Harry, like Voldemort, also wishes to decline playing out the drama that Dumbledore imagines.
Step 8: Propose in Parseltongue that they cooperate to bring about a future world such as what Harry described, one they both much prefer to Voldemort’s plan. Point out also that Harry’s hands are tied by the Vow; he cannot allow Voldemort's plan to go through because Hermione would oppose Voldemort’s plans as destructive and consider them enabled by Harry.
For further demonstration of how to perform these steps, see the Obvious Solution.
(remainder in child comment due to length limits)
(EDIT: formatting)
The Obvious Solution: Avert Destruction at Every Possible Point of Intervention
Notice that the solution classes above are not mutually exclusive at the planning stage, and can even be combined with some as backups for others. Naturally, then, part of the lesson is to do exactly that - because Harry needs this to succeed.
To show that I can figure out exactly how to combine them and the details of how Harry should talk his way out of the box, I’m going to write out the combination as a hypothetical Chapter 114. Doing so requires me to pic...
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: