Dumbledore asked for the map, and used the sorting hat to procure a crystal rod which allowed him to manipulate it. It is an artifact of the founders.
Dumbledore didn't order the map to obey on his authority as Headmaster, he summoned a tool with which to fiddle with it. How do you know that crystal rods aren't a standard way to affect enchanted objects, and the one kept in the Sorting Hat is just unusually high-quality?
I mean, if it was created by the founders, the Marauders would have had to do something very similar in the first place. So either Dumbledore undid the Marauders' alterations, or he altered their (or whoever's) creation the same way they would have had to, counterfactually. How do you distinguish between the options?
(The HPMOR discussion thread after this one is here.)
This is a new thread to discuss Eliezer Yudkowsky's Harry Potter and the Methods of Rationality and anything related to it. There haven't been any chapters recently, but it looks like there are a bunch in the pipeline and the old thread is nearing 700 comments. The latest chapter as of 7th March 2012 is Ch. 77.
There is now 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.
The first 5 discussion threads are on the main page under the harry_potter tag. Threads 6 and on (including this one) are in the discussion section using its separate tag system. Also: one, two, three, four, five, six, seven, eight, nine.
As a reminder, it's often useful to start your comment by indicating which chapter you are commenting on.
Spoiler Warning: this thread is full of spoilers. With few exceptions, spoilers for MOR and canon are fair game to post, without warning or rot13. More specifically: