(A) I don't object to the general idea of correcting these biases with culture. Again, I'm sympathetic to this idea, but I'm seeking creative ideas for how it might be implemented.

(B) I don't care about the distribution of votes/favorites/views/reputation at all, except insofar as they inhibit users from stumbling on interesting questions of the second kind — which is, as I understand it, the stated purpose of this site.

(C) I certainly never suggested "a technical fix which may change the distribution of votes toward those goals." I might, however, suggest a technical fix that may make it easier for sticks-in-the-mud like me to stumble on interesting questions of the second kind; it might be as simple as a checkbox that says: "Show community wiki questions."

(D) No one would expect a question about E_8 to garner as much attention as a general question about mistakes in mathematics, but that isn't the point. I'm not trying to think of ways of getting 4000 people interested in E_8 (at least, not right now!); my worry is that the relative unpopularity of your E_8 question might mean that the users (especially new users) who would enjoy reading it and thinking about it might not be able to discover it, because it may end up buried under a heap of questions of the first kind.

@Dao. Your questions (and the ensuing discussions) are among those I've enjoyed reading the most. Thank you. I look forward to trying to answer one soon!

EDIT: I do not know why the links do not appear right, sorry for the inconvenience! How can I fix it?

Don't do <a href="...", use Markdown syntax instead. Same advice for MathOverflow itself :)

Both would certainly take months for someone who is not an expert to find a satisfying answer (in fact, both answerers themselves do not seem to know of many useful reference). They capture what I think is the best of MO: professional, precise, and very friendly. And it surely takes time to write good technical answers, it is comparable to writing a paper I think. Currently, they get 4 and 3 votes respectively, which I think is a bit unfair. Since I can only vote once for them, the only thing I could do is going through similar answers and upvote!

(I personally have no problem with soft questions, I enjoy reading many of them. In some sense, for the site to prosper, we need them. But we can try to attain a balance with the more serious questions, which is also a big draw to many people visiting the site.)

EDIT: I do not know why the links do not appear right, sorry for the inconvenience! How can I fix it?

Let me explain why I think so. To do so, let's first define the problem: the distribution of votes / favorites / views / reputation on the site doesn't agree with what we think would be "reasonable" one.

I think this is a real problem, and it appears everywhere in real life (good example: politics) which is just one the hints to its depth.

Therefore, if we start talking about it, we might discover we actually have different ideas about what distribution of votes/views/favs/other numbers is reasonable. To simplify things, let's assume we agree that we prefer math questions ("questions of the second kind" in your words) and correct answers to be upvoted.

Now here you're right in suggesting a technical fix which may change the distribution of votes toward those goals. But you miss the fact that this distribution will continue to be very far from this ideal. Let me give some examples.

There are several answers to Is it possible to capture a sphere in a knot?; the ones that are not just comments on others have upvotes. The correct answer has 15 upvotes; there are 3 more interesting attempts to answer that guess the result incorrectly: they have 21, 18, 13. Is this "the wisdom of the crowds gone wrong"?

In other words, the voters seem to give more to half-answers that appear to lead somewhere rather then the completed answer; is that reasonable?

Take another example: I have two questions posted roughly at the same time, Explanation for E_8’s torsion and Most interesting mathematics mistake?. I took a lot of time writing the first one to make is as interesting as I could (okay, that could be not so apparent from the title). Yet since the "viewed" count of the second one, at 4 thousand, is ten times more than the viewed count of the E_8 question, it's hopeless to expect that the first would have many more upvotes than the second. Indeed, it has a bit less.

The last problem could be "solved" by prohibiting soft questions, but if we're not talking about such a remedy, I don't think there's any way of making 4 thousand people more interested in "hard math" questions. So the "view" metric will always accurately reflect this fact; we just need to continue posting hard questions without worrying too much about it.

toward a culture in which the burden for this correction is completely transferred to the askers.

Not really, all of the culture things be done by others editing the question (perhaps with the exception of Jonas' suggestion about bounties, but even then others can suggest this to the asker). Even the subdivision of the question can be effectively done by a third party; I presume people are not doing it currently precisely because we aren't yet in the culture of asking only concise questions.

@Anweshi: I'm very concerned about rudeness in online interactions. MO seems to be almost completely free of that, thus far. I hope the trend continues!

@Nikokoshev: I'm afraid I'm not sure I understand. While I heartily agree that one ought not "worry too much about reputation and votes," it's an unavoidable fact that these numerics are fundamental to the basic functioning of this site and in particular to the life-cycle of questions asked here. That isn't necessarily a bad thing, but it does catalyze a kind of systemic bias toward questions of the first kind, which is what I tried to describe.

If I understand, you're saying that we might correct this bias purely with culture. I would like to agree with that generally, but your suggestions sound as though you wish to move toward a culture in which the burden for this correction is completely transferred to the askers. In other words, in such a culture a user could not expect an answer merely because he/she wrote a clear, precise, interesting question of the second kind; rather, he/she should have to expect to doctor his/her question incessantly, trying to drum up interest in order to make up the fact that his/her question wasn't sufficiently soft, vague, subjective, elementary, or open-ended to garner enough attention to keep it from slipping into obscurity. Do I misunderstand? Isn't that solving the wrong problem?

• edit pure math questions a lot: tags, formatting, latex, references, background, etc.;
• provide their incomplete but meaningful answers;
• write very clear questions so that it's harder to give a partial answer;
• don't forget to mark their non-math questions with one of known tags, so that they can be ignored;
• don't worry too much about reputation and votes;
• are not ashamed to revisit their old question and repost part of it, if necessary.

Explanation for the last bullet: I've often seen people receiving a partial answer to a question, usually because the question was really several related questions. The most common response for this situation I've seen so far is to edit the original post and provide details about the progress. However, it's understandable that people who read question don't return to such a question. So one thing I'm trying to do is to encourage posters to create a new, better-formulated question that has everything currently known as a background. I believe this subdivision of a question is a very useful tool.

The issue you point out is very valid. I would love to see good quality people, and it is the hope of interacting with them that keeps me here. For that it is necessary to enforce some quality. However it has to be done without being too rude, which does happen sometime. It is hard for someone to face the fact that "you are not good enough", or "your questions are not good enough" and nothing is gained by rubbing it in.

I have an answer for 3 though. Close those questions of first type after a while. However the askers may be known personally known to the moderators, or may have good standing in mathematical community, and thus it is a difficult matter. However, as people gain in reputation above 5k or 10k or so, threads can be closed by the votes of 5 or more people. Again it is a problem if the "wrong" people keep gaining reputation.

Again, for any such issues, it will be instructive to see what stackoverflow did. However not all that may be applicable here, since MO is a more serious place, filled with serious researchers.

My solution to this problem (or really the more general problem that I can't read all of the questions anymore) is to use google reader. I have a folder of roughly 60 user feeds of either people I know or who tend to answer/comment on questions I am interested in, and I mostly read that.

Nevertheless, it seems to me that, on MO, whereas a number of questions that are soft, vague, subjective, open-ended, or not research-level — "questions of the first kind," let me call them — enjoy stratospheric popularity (e.g. or e.g. or e.g. or e.g. or e.g.), a number of more precise questions that generally conform to the first three standards of the guidelines — "questions of the second kind" — tend to garner far less attention, especially when they are relatively technical (e.g. or e.g. or e.g. or e.g. or e.g.). This is not surprising, of course, but the effect is then amplified, because it appears that once a question has become unpopular, it is more likely to grow more so: after all, it is difficult to answer, comment upon, or vote on a question that you cannot find, and it is difficult to find questions that do not have many answers, comments, or votes. (In fact, the kiss of death for a question might be for it to receive a small number of up-votes and one partial, up-voted answer. Within a month, it might be very difficult to find.)

I should say that I have nothing in particular against questions of the first kind, and in particular nothing against those I've cited; they are reasonable questions that should be discussed by someone, somewhere. I tend to prefer questions of the second kind, however, and my understanding of the vision of MO is that its aim is precisely to provide a forum where questions of the second kind can find answers. Yet I still find that, even with a judicious use of tagging, there remains a fair amount of time-consuming sifting one must do to locate questions of the second kind.

I am thus lead to three questions. (1) Does the easy popularity of questions of the first kind cause questions of the second kind to languish? (2) Are there tools (beyond tagging) that users like me can use to sift more effectively through questions of the first kind in order to be more likely to stumble upon interesting questions of the second kind? (3) Is there a way to counteract the negative feedback loop that causes some questions of the second kind to fall into obscurity?