I figured that the two were equivalent. If we find something that magic does not consider information (but we do), we can use it to receive information from an arbitrarily far future.
For example, suppose that magic does not consider merely "Does a timeturned person show up at time T at this location or not" to be information, and we want to know if the world ends in the next 10 years.
Four people with time-turners agree to the following scheme (using Unbreakable Vows if necessary):
Also, they make sure that in case of anything not world-ending, they will have a substitute available so that the chain will not break.
After agreeing to this, if Alice sees Dan appear out of nowhere at 12:01 AM tomorrow, then they know that the world has not ended. If not, then something sufficiently bad to cause the chain to break must have happened in the next 10 years. (Either way, they must continue to implement the plan for as long as possible.)
Using further chains of Time-Turners, we can use our favorite unbounded binary search scheme to narrow down a more precise date for the world ending.
(Edit: actually, we can probably improve the resolution simply by using the Time-Turners at a different specified time depending on circumstances.)
I think this is taking "6 hour limit" way too literally, when by far the simplest explanation is that time turners can protect you against Time's tendency towards simplicity for 6 hours or so, but if you try to chain that, it becomes overwhelmingly computationally simpler (and therefore more likely) for the intention to set up such a chain to result in the death of everyone involved, than for the chain to work as designed.
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 119.
Plans for next chapter release:
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.)