242 karma · joined January 5, 2010
As an example, let's say prisoner #10 opens his box and finds #21, then finds #5 in that box, then #84, then #51, then finally succeeds and finds his number 10 in box #51. These boxes form a cycle 10-21-5-84-51 (and then back to 10). Anyone who opens any of these boxes will eventually see the same set numbers that #10 did, so that means that we know prisoners #5, #10, #21, #51 and #84 will all succeed in finding their number by starting at their own box.
Compare that to the situation where they just randomly look in boxes and each independently have only a 50% chance to succeed - then the odds that those 5 prisoners all succeed would be (1/2)^5 = 1/32, or only about 3%. In every cycle containing n prisoners, instead of their success rate being (1/2)^n, now they all succeed together or all fail together.
Now that the success of every prisoner in the same cycle is perfectly correlated with each other, the prisoners' overall chance of success depends only on whether the random permutation created by the warden has any cycles >50 in length. If so, then everyone in that cycle will fail. If not, then all the cycles across the 100 boxes are short enough that all 100 prisoners will succeed.
In standard Japanese, わ is feminine and mildly emphatic (used for asserting an opinion or stating a fact).
https://frinklang.org/frinkdata/units.txt
I particularly recommend checking out hertz and candela.
Links for anyone interested:
https://www.infoq.com/presentations/Value-Values (1 hour version)
https://www.youtube.com/watch?v=-6BsiVyC1kM (1/2 hour version)
Your response would only make sense if it were an answerer trying to tell the asker what he or she cannot do.
"What I actually said was, 'If you wire it randomly, it will still have preconceptions of how to play. But you just won't know what those preconceptions are.'" -- Marvin Minsky
Amazon link: http://www.amazon.com/Nonlinear-Dynamics-Chaos-Applications-...
That this happens to so many bright students is a waste of a lot of time, money, and human capital. Having considered it in the years since it happened to me, I think it boils down to a lack of mentorship in our educational system.
I had a similar experience to yours and Lockhart's essay felt both inspiring and vindicating when I found it.
Some, like "They plan details about sh*t that never sees the light of day" are quite self-sufficient, but some of the others are pretty vague or even come across as contradictory. "They seek too much advice from too many sources with too many conflicting views" but also "They do mental incest by bouncing ideas off the same people every time"? I know that different founders make different mistakes, but I'm still in the dark on how to find the happy middle.
For ones like that, or "They have no clue about their market", I want to hear what happened! What's the story behind the advice?
I know that this is beyond the scope of a list like this, but maybe it could be fodder for some future blog posts.
I commend the entrepreneurial traits this man showed, but I don't see how you can simply dismiss the fact that he's profiting from a tragedy-of-the-commons situation. Just because there are some good things about his attitude doesn't mean he can't be criticized.
This story isn't really about the wealth-producing sort of entrepreneurialism that I come to HN for, so I'm not surprised there are negative comments on this post.
If someone proposed to cut computer science from a curriculum, would your defense be "but without computer science, students won't learn how to think critically"?
I also think we're in danger of equivocating over the word "criticism" here. Literary criticism shouldn't be assumed to teach critical thinking well just because the names are similar.
I learned a lot more about critical thinking from history classes. Those obviously have to be taught well, too. The standard regurgitate-some-dates won't impart any critical thinking either. But I think history as a subject is richer soil to grow these skills from, and isn't mixed up with the teaching of both writing and literature at the same time.
When assigned an essay for school, my priorities were:
1. Get an acceptable grade
2. Spend as little time/effort as possible
3. Enjoy the process/actually learn something
Asking students directly to prioritize 3 rather than 1 and 2 is just not going to work.
I actually agree that teaching thesis-based writing is a good training tool for analytical writing. But in the interest of expending little effort, students aren't going to consider evidence and then change their thesis. It's much easier to spackle liberally with bullshit, since teachers mostly let that slide.
Grading is the elephant in the room. Students must always take it into account and it's quite rational for them to be very risk-averse. Writing about bounded topics in a bullshit-friendly way is easier and much safer than trying to learn how to think through a subject in writing.
This whole discussion reminds me strongly of Lockhart's Lament (http://www.maa.org/devlin/LockhartsLament.pdf) except for writing rather than math. If the whole system, years of education, is leading students down a garden path, it's not immediately clear that you can change how you teach your 2.5 hours a week to help. The students themselves will actively resist a single teacher trying to break the mold. That doesn't change the fact that there is a problem, a very big problem.
I think trying to fix math education is a harder problem, but unless you can somehow get around grading, English is a tough nut too.
Try the same line of argument in a different context: "Our television ad campaign is responsible for almost the entirety of our increase in market share."
"Impossible! If that were true, we would have 100% market share!"
Edit: thanks for the recommendations, everyone.
http://languagelog.ldc.upenn.edu/nll/?p=2989
From the post and the comments I found the following two links interesting:
http://www.economist.com/blogs/johnson/2011/02/libya
http://www.straightdope.com/columns/read/513/how-are-you-sup...
I don't see any way to do so myself, possibly due to not having enough karma.
To English speakers, using different counters for different classes of nouns is a pretty strange feature, but I'd imagine no stranger than the Japanese might consider our plurals. Japanese (and Chinese) don't inflect nouns for plural agreement at all. From there, imagine how English's seemingly random collection of irregular plurals must seem (feet, oxen, halves, deer, women, mice, children, dice, larvae, alumni, bacteria, etc).
I wonder what features of English-origin programming syntax they might link to this bizarre collection of special cases :).
or possibly this (pdf warning): http://home.earthlink.net/~momotuk/pointers.pdf
The scoring scale varied a bit based on the difficulty of the particular exam you sat, and as we were aiming for scores near the top of the scale we hoped to get an exam that allowed a question or two wrong to still get a 1600. Often one question wrong on verbal would still score 800, math was less forgiving of a single mistake.
I have trouble believing there could be any distinguishable difference in practice between the population of students who got two questions wrong on the exam and those who got one wrong.