Tiers of answers to half-baked questions

https://blog.plover.com/misc/half-baked.html

by epoch_100 • 6 years ago

155 49 6 years ago

blog.plover.com

mjd• 6 years ago

It's “tiers of answers”, not “tired of answers”.

dang• 6 years ago

Fixed. Thanks!

prosaic-hacker• 6 years ago

I have ask this half baked question many time in many places and I have received the lower tier answers all the time.

Driving on a multi-lane highways with no traffic (yes it can happen, eg upstate NY Adirondacks overnight ) you can straighten the road shifting lanes to always be on the inside of the curve. Calculate the shortest path.

I once vaguely phrased this what shortest line that can be drawn between two parallel curved line a constant distance apart. I think this is mathematically half baked and could be restates.

vlasev• 6 years ago

Perhaps a good starting point would be to look at a "chord"[1], which is a line segment between two points on a circle. Then you'd look at a chord that is tangent to the inner circle of a set of two concentric circles. You can find the length of the chord from the radii of the circles.

But what you're asking about is more general. You are looking for some sort of shortest path between two parallel curves [2]. Which seems like it would be a tricky problem to solve. Are you considering physics here? If you are, you are basically looking at a "racing line" [3]. And that's a complicated problem since it involves a lot of physics and engineering. You can't look at a single turn in a track and determine the best racing line. That's because the best racing line for a specific turn depends on the best racing lines of the nearby turns. You'd have to look at the track as a whole. There are entire theses written on this topic [4].

But a highway road is not the same as a racing track. In highway engineering they often use the Euler Spiral [5] to construct the turns, because of its nice properties. Funny enough, Euler Spirals play a role in optimizing your entry into turns on a track [6]!

I think those might be some good jump-off points for further inquiry.

[1] https://en.wikipedia.org/wiki/Chord_(geometry)

[2] https://en.wikipedia.org/wiki/Parallel_curve

[3] https://en.wikipedia.org/wiki/Racing_line

[4] https://dspace.mit.edu/bitstream/handle/1721.1/64669/7068253...

[5] https://en.wikipedia.org/wiki/Euler_spiral

[6] https://en.wikipedia.org/wiki/Euler_spiral#Auto_racing

im3w1l• 6 years ago

Fun edge case: I first thought you should always drive either leftmost or rightmost lane in curves. But if a "curve" only turns a couple of degrees you might be better of ignoring its existence and just go straight through.

csours2• 6 years ago

Simple. Put up walls all the way along the road, then pull a string tight from one end of where you're driving to the other. Then you just measure the string!

dan-robertson2• 6 years ago

One thing to note is that this shortest path won’t typically be much shorter. Consider a circular ring road. The circumference on the inside is pi * d and on the outside is pi * (d + w), where w is the width of the road, so the amount you save by driving on the inside is pi * w which is probably less than 100m.

In a more general simplified case where you always stick to the inside of every curve and jump from left to right for free, the amount you save compared to sticking to the middle lane is the line integral:

  \frac14 w \int k \mathrm ds

where k is the curvature (strictly speaking k should be an adjusted curvature of 1/((1/K) - (w/2)) where K is the actual curvature).

Because roads are not very curvy, the integral of k will be small and so the distance saved is very low. And note this is an overestimate because it doesn’t cost in changing from side to side

TheSpiceIsLife2• 6 years ago

In motorsports it’s known as the racing line.

You’re right, the gains are small for the average road user :)

Wikipedia article https://en.wikipedia.org/wiki/Racing_line

wdutch• 6 years ago

This looks a lot like the xyproblem[1] which I have fallen prey to many times. You start out by thinking about something - highways in your case - then you formulate a model, which might turn out to work or might not. But then you make the mistake of asking about your own formulation of the problem rather than the original problem. From my own experience, even if your formulation turns out to be right, asking about the original context will usually result in higher quality answers.

[1] http://xyproblem.info/

roel_v• 6 years ago

Ugh I loathe this concept, although it's real. But 9 times out of 10 when you ask about a complicated problem online, which you've reduced to its simplest components because it's impossible to explain the entire context to an outsider in a text field, you'll get some internet smartass screaming 'xy problem!' to dismiss your question (this is not directed at the parent comment, just a general observation)

lmm• 6 years ago

What's the question? Given a specific example you can do the calculation. Generally the ideal route is going to consist of hugging the insides of curves + straight lines that are tangent between two opposite-direction curves. But for arbitrary curves I don't think you can say much more that's interesting or useful.

empath75• 6 years ago

I think this is related to X-Y problems where someone wants to do x, thinks that y is the way to accomplish it, but can’t do Y either, and so goes online to ask about Y.

Everyone else knows that Y is a weird or unusual thing to be doing, but either helpfully tries to explain how to do it, which won’t solve their real problem anyway, or tells them that Y is dumb and they’re dumb for asking about it.

A really helpful answer would try and think about what could motivate someone to ask about Y, and if unable to think of one, will ask why on earth they want to do Y and what are they are really trying to do.

Similar to this situation is that they’re asking a question _because they want to know something about the world_ and trying to meet them halfway or ask clarifying questions is much more helpful than literally answering their question as asked.

gaogao• 6 years ago

On nearly every question in the Q&A groups at work, I have to ask "What are your high level goals with this?"

lainga• 6 years ago

To their credit, the economics SE recently answered the question "why is the price of oil negative?" with an explanation of futures, and not with "it isn't"

analog31• 6 years ago

The closest thing I've experienced is the value of a CRT computer monitor in my locale, which is a negative 15 dollars because you have to buy a sticker from the city in order to dispose of it.

dan-robertson2• 6 years ago

I think this is not the case in all three examples given in the posted article.

mjw1007• 6 years ago

Note that while this can be helpful in general, it's often unhelpful on Stack Exchange.

It results in people who do want to know about Y ending up with a high-scoring search result which doesn't contain information about Y.

And even for the original questioner, the discussions about why they want to do Y may well take up more time than it would have taken for them to read an accurate response, decide to rule out doing Y, and go on to ask X separately.

Jun8• 6 years ago

On the Physics SE a similar cluster of questions are asked about the finiteness of the speed of light e.g https://physics.stackexchange.com/questions/230703/do-we-kno..., why the Principle of Least Action exists, and the “paradox” of size of the universe being larger than it’s age x c

ShamelessC3• 6 years ago

The linked question on "why is C finite" is a good example. Each answer is basically just "the speed of light is finite because the field I know most about (cosmology, relativity, etc.) breaks in this specific way when it's infinite".

Having said that, I do believe the correct answer is some form of "we don't know". But that would be considered a half baked answer according to the author. It's also deeply unsatisfying on an emotional level.

So all the answers are basically modifying the intent of the asker in order to answer related questions which _are_ satisfying. This is compounded by the StackExchange community upvoting highly knowledgeable answers. Fortunately you can see the disputes on these answers also get upvotes in the answer's comments.

knzhou3• 6 years ago

In theoretical physics, "why X" stands for absolutely nothing more than "please derive X from some other principle". Some people will use Y to derive X. Others will say that's not a real explanation, you really should use Z to derive X. And yet others will flip the derivation around and say that X really is the fundamental principle, and use it to derive Y and Z! (The route one takes depends on what one views as "more fundamental", a metaphysical notion that nobody agrees on.)

It's completely fair if you don't think any of the answers were satisfying, but it's not like there's another option on the table.

A lot of laypeople think that a truly satisfying answer must be mechanistic -- something like "there's an invisible jelly everywhere and it wobbles at a finite speed, and that is the speed of light" -- but the 20th century taught us that this completely natural desire is actually counterproductive, because you have to add piles of epicycles to hide the jelly's other effects.

BadThink6655321• 6 years ago

Isn’t the ultimate answer always “we don’t know”, “because”, or “42”? It has to be deeply unsatisfying because we don’t know what the ultimate question is, do we? We can’t stop asking.

csours2• 6 years ago

Whenever I have to ask a semi-complicated question my brain does a mad scramble to assemble what I already know, what I think I know, what the other person knows, what I've already tried, my assumptions, why I want to know it...

hartator2• 6 years ago

I don’t know. My main gripe with StackOverflow is question getting closed for being opinion based or not worth debating. When constant debate is actually fun and interesting. (And you don’t have to watch the threads if you don’t care.)

enitihas3• 6 years ago

If you like constant debates and open ended questions, why not use Quora, or maybe even reddit.

hartator2• 6 years ago

Well. Some very precise question is very open to debate. Like what’s package manager to use on Linux. They will be competing answers, votes, and answers that will be super interesting. At least to me.

sl1ck731• 6 years ago

Has Quora gotten any better for content? Maybe I just don't use it right. It is on my list with Technet for sites that are entirely garbage. Every time I was led to Quora the answers were always 3 top comments of different companies advertising something.

posterboy• 6 years ago

Questions for the sole purpose of debate are discouraged and off the rule. if you want to have a chat, find a chat room.

That does not mean that such questions never come through to reach not just an answer, but two or more trying to compete--which the voting system should be able to handel--or they are trying to mediate pretty much in unisono--which should be a comment to improve the question, or answer with a differentiated view on what the questionair got wrong and right.

That also depends on the kind of stack. The more scientific, the more rigid the rules. The more liberally academic, the more people looking to practice their rhethorics.

kinkrtyavimoodh• 6 years ago

This illustrates more than anything the Dunning–Kruger effect. Dilettantes and dabblers with a little knowledge often tend to be the more nasty on online forums, while actual experts have the humility of not just knowing the limits of their knowledge but more importantly have enough information to contextualize even those questions which might appear dumb to an untrained mind.

Uhuhreally• 6 years ago

and often people answer not to help the questioner (and future readers) but to show off the little knowledge they have

neoncontrails• 6 years ago

Earlier today, on the subject of why I made a particular design choice, I went straight for tier 6. I absolutely could have promoted my response to tier 5, or even 4, but I was too focused on prevailing as correct to see that one can affirm the reasons why someone is asking a question without necessarily seizing on the more absurd aspects of the question. I think I'll be more mindful of this in the future.

Terrific article.

TTPrograms• 6 years ago

I often encounter (especially among academics) people who are quick to refute questions or ideas on trivial grounds based on trivial formal description errors of the type described in this post. To any non-expert the intent of the ideas or questions is clear, but the formal thinkers are often quick to dismiss based on these trivial inconsistencies. I have a strong aversion to being dismissive or mean to people, especially in public, so by default I reinterpret in those cases - "If by X you really mean Y (where the difference between X and Y is only clear to an expert well-versed in formal descriptions of the subject matter) then yes, that is an interesting idea - the pros and cons are as such...". 99% of the time they actually mean Y, but they're just not quite well-versed enough to phrase it that way - or, upon knowing that swapping from X->Y converts their statement from trivial to meaningful, they would often be happy with Y capturing the sentiment they wish to convey.

I have started proselytizing this approach to my colleagues, because some of them are simply too formally minded to "pull themselves out" enough to interpret such statements generously. I do think some subset do use this sort of denigrating approach to cement their authority, which I find silly.

rmdashrfstar• 6 years ago

Any tips for people who are quick to be dismissive? Asking for a friend, he often is not generous with his interpretation of peoples’ questions.

n4r9• 6 years ago

I don't think there's much better advice than what the OP has already said: train yourself to wonder if there's a deeper question that the asker might be asking. Ultimately it's a question of humility. I think dismissiveness is often motivated by an assumption that the asker has made a simple rookie thinking error, and that an involved answer isn't worth your time.

ganzuul2• 6 years ago

I too fill in the blanks and expect the same courtesy to be given me. As such I have began to bluntly refuse to participate in discussion with an uncooperative party like what you describe. I can find more constructive things to do with my time and they have no reason to expect otherwise.

Like you say, it's very curious why some people do expect their attitude to be accepted. If it is something they have learned to do, then what can be done to make them unlearn it? My attempts at this have so far clearly been too blunt, probably since I'm no saint and seldom suppress my irritation at their intellectual dishonesty faster than thinking of a scathing way to confront them...

duggan• 6 years ago

I expect there's a fine line here between being generous and being seen as patronizing, but I try to cultivate a similar mindset (with varying degrees of success). I've always found it a sign of someone trustworthy, generally possessed by much more experienced colleagues.

sarbaz• 6 years ago

This is interesting because I work with professional mathematicians and they are the exact opposite. They always start off with a semi-formalized idea and play with it a lot before trying to hone in on something formal. And conversely they have absolutely no problem listening to / thinking about non-rigorous ideas. They also do excellent work, so I would say this is a positive trait wrt productivity.

ganzuul2• 6 years ago

6. I can't do it, so nobody can.

I am much too emotionally invested in intellectual honesty...

thinkingemote• 6 years ago

I think people may give half hearted questions to get better answers. Maybe half hearted questions get more interaction by people trying to clarify things, or perhaps the answers are written with more common language than jargon?

Could there be other reasons (apart from "Questioner Is Stupid" or Troll) to ask vaguely formatted questions?

transitivebs• 6 years ago

I really loved this breakdown.

Two useful related thoughts:

1. https://www.perspectiveapi.com via Google that rates comments based on their utility and toxicity

2. Generally adding emotional intelligence and psychology into the picture instead of focusing solely on answering the top-level question directly. Being able to emphasize with the person asking the question is invaluable in figuring out the best way to frame your answer.

Sooooo many developers could use a healthy dose of improvement in #2.

slx26• 6 years ago

This is a good approach and good advice for better communication in general: you have to listen to both the exact words and the intent behind them. Coming from technical fields, many of us are rather biased to dismiss what others say for technical reasons only, when if we cared a bit more to look into what they are really trying to say or figure out, we could help them, understand them, and start much more interesting debates. This is too often seen in political debate too, though the bias here might come from a different side (if you can nitpick on the form of an argument, you don't have to care about anything else).

Tiers of answers to half-baked questions

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