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EternalStargazer comments on Harry Potter and the Methods of Rationality discussion thread, part 27, chapter 98 - Less Wrong
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I'm still unconvinced about "Avada Kedavra and the Patronus Charm (2.0) cancel each other out". My interpretation of it in Azkaban is more "Harry and Quirrel magic cancel each other when they interact" than anything related specifically for those spells.
For the rest, there is a significant difference which, while it doesn't matter much in absolute, matters a lot of HPMOR, is that 11 yo can't cast Avada Kedavra, while they can cast Patronus. So you can have 1st years in Hogwarts who are "Silver Slytherin" because they can cast Patronus, but you can't have "Green Slytherin" that can cast AK in 1st year, because it's too advanced magic for them.
Our direct evidence doesn't completely pan out, because of the uncertainty of the Quirrel reaction, yes. But even without that we have evidence for the underlying theory: ie: AK is Death>Life: the spell and PC2.0 is Life>Death: the spell.
I can post quotes from both of these, in fact, I would argue that the Harry and Moody conversation on Avada Kedavra exists for the sole purpose of including that data in the narrative. Remember, these are Harry's words, a "magically expressed preference for death over life" and the Patronus Charm being cast by "rejecting death as the natural order."