People have suggested that on being summoned to the Headmaster's office, Harry precommits to time-turn back and hide Hermione's body before the summons arrives. Whether that means replacing the ring or the stone or what have you.
There are several ways I can think of that Dumbledore could circumvent this:
The first two methods seem wasteful. High cost compared to the relatively trivial transfiguration check. So if Dumbledore has other suspects besides Harry, he might not deem it worthwhile. The third is simple enough, if Dumbledore does have the Map. And if the Map does display multiple instances of time-turned people, as seems likely--I think this has been discussed as possibly being one of the "errors" the twins note.
Which still leaves the question of whether Dumbledore does have it.
Brief thoughts (some redundancy with what others have said):
It took me years to realize that my agreement with the Chinese Room argument was due almost entirely to how convincing Searle sounded standing in front of a classroom, and to his skill at appealing to both common sense and vanity. The argument was flagged as correct and cached, acquired a support structure of evasions and convenient flinches, and so it remained, assumed and unquestioned.
I wish I could remember an exact moment of realization that destroyed the whole thing, roots and all, but I don't. I suspect it was more of a gradual shift, where the support structure was slowly eroded by new ideas (i.e. I started reading LessWrong), and the contradictions were exposed. Until one day it came up in a discussion and I realized that, far from wanting to defend it, I didn't actually believe it anymore.
I should probably go back through my class notes (if I can find them) and see what else I might have carelessly cached.
Working on a fanfic of a fanfic of a fanart of a fanfic. At this level of recursion, the original source material has become difficult to detect. I understand at seven levels, it becomes Douglas Hofstadter slash fic. (blatant EY joke theft)
I started off writing this in second person imperative, in response to a challenge from a writer friend of mine (e.g. "You are thinking you would never write in second person imperative. Try it anyway. See what happens."). Not sure I'll stick with it, though; it works beautifully in some parts, and like chewing aluminum foil in others. Also, I'm guessing it would make it more difficult for anyone who wanted to take the recursion to another level.
It's not a huge project, probably a few thousand words going by the outline. Thought I might as well post here so as to put a little pressure on myself to actually finish it.
Used Bayes in the wild.
It was really a textbook case. I had a short story under review at Asimov's SF magazine, and they'd held onto it for over two months. Per Duotrope (a writer's market site), Asimov's takes twice as long on average reviewing stories that are ultimately accepted as stories that are ultimately rejected (the likely explanation is that obviously bad stories can be rejected right away, while stories that eventually get bought are handed around to multiple readers). So I sort of casually assumed without really thinking about it that this meant I was much more likely to get my story accepted.
But wait! Duotrope has various response statistics based on reports from users. With a few assumptions, I could use their numbers for a simple Bayes calculation, and figure out the real chances for an acceptance given a two month wait.
I used as my priors the numbers on Duotrope for acceptance rate (P(Acceptance)), mean reply time and std dev of reply time (used for P(Two Month Wait)), and took a guess at P(TMW|A) based on the mean reply time for acceptances. The result: yes, it was more likely that my piece was accepted, but because P(A) was so low to begin with (less than .5%), P(A|TMW) was still really low (less than 1%).
I calibrated my expectations accordingly. Which was just as well, since I got their rejection the next day. Rejections are always disappointing, but I'd have been far more disappointed if my expectations had still been out of joint.
YNAB (You Need A Budget)
Great tool for implementing a zero-based budgeting system (also known as an "envelope system"), meaning every dollar of income is assigned to an expense category. Categories can (and should) include annual or longer-term expenses, so that you have cash on hand when foreseeable future expenses crop up. The system as a whole is great for giving you confidence in your spending choices, as well as helping you stay on track when you overspend. I find this type of budgeting ideal, though some may find it a little too demanding.
I personally still use an older, spreadsheet-based version of the YNAB system, mainly because it's what I'm accustomed to. So I can't vouch with certainty for their current software. But it does have a free trial!
If you already have a great budgeting system in place, you may not find this useful. But if your budgeting system doesn't work so well, or if you don't currently budget--you need a budget!
Hi! Long-time lurker, first-time... joiner?
I was inspired to finally register by this post being at the top of Main. Not sure yet how much I'll actually post, but the removal of the passive barrier of, you know, not actually being registered is gone, so we'll see.
Anyway. I'm a dude, live in the Bay Area, work in finance though I secretly think I'm actually a writer. I studied cog sci in college, and that angle is what I tend to find most interesting on Less Wrong.
I originally came across LW via HPMoR back in 2010. Since then, I've read the Sequences, been to a few meetups, and attended the June minicamp (which, P.S., was awesome).
I'm still struggling a bit with actually applying rationality tools in my life, but it's great to have that toolbox ready and waiting. Sometimes... I hear it calling out to me. "Sean! This is an obvious place to apply Bayes! Seaaaaaaan!"
Quirrell is joking. He doesn't care about the results of the ministry-mandated test, as he already knew what grades his students had earned from him regardless.