One of the established rules was that information can't be sent back more than six hours. Would he have broken time within six hours?
Also, there is always a way to head off a paradox. Consider the multiple universes model. What came out of the time machine in one universe is a function of what came out in the last universe. Furthermore, it's a continuous function. Theoretically, you could do something like send back what came out plus a mote of dust, but I think it can be assumed that there's a limit to whatever the time turner can bring back, meaning the domain of the function is bounded. Since every continuous function mapping a bounded set into itself has at least one fixed point, there must be at least one stable time loop.
Addendum: Why would it be a continuous function? Human decisions can be binary. Consider, as a trivial example, "If I see 1 on the paper, I'll write 0 and send it back in time. If I see anything else on the paper, I'll write 1 and send it back in time".
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 88-89. The previous thread has passed 500 comments.
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. (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.)
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: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18.
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: