Response to: The Value of Theoretical Research
Reading paulfchristiano's article the other day, I realized that I had had many similar discussions with myself, and have been guilty of motivated stopping and poor answers to all of them.
However, one major roadblock in my pursuing better answers, is that I feel that I have been "locked in" to my current path.
I am currently a mathematics Ph.D. student. I did not have a minor. I don't have significant programming skills or employment experience. I know nothing about finance. I know a lot about mathematics.
Paul says:
There is a shortage of intelligent, rational people in pretty much every area of human activity. I would go so far as to claim this is the limiting input for most fields.
However, "most fields" is not a very good tool for narrowing my search space; I have spent my entire life in school, and I like having structures and schedules that tell me when I'm doing productive things and that I've progressed to certain stages. I'm not ready to drop out and do whatever, and I don't have a particular idea of what whatever might be.
On the other hand, I currently have a variety of resources available to me. For example, I have a steady income (a grad student stipend isn't much, but it's plenty for me to live on), and I have the ability to take undergraduate classes for free (though not the spare time at the moment.)
My current intent is to continue and finish my Ph.D., but to attempt to take classes in other subjects, such as linguistics, biology and chemistry, and computer science which might lead to other interesting career paths.
Has anybody else had a similar feeling of being "locked in"? How have you responded to it? For those who have studied mathematics, are you still? If you continued, what helped you make that decision? If you stopped, what about that? What did you end up doing? How did you decide on it?
I'm a mathematician, and I had similar problems in the past. Here are some things that have worked fantastically well for me.
First of all, just start talking to people in other fields at your university. Start with "nearby" fields (like theoretical physics) and progress from there. See what they're up to; you might find opportunities for fruitful collaboration. These people need not be professors; indeed, since they're used to being pestered by eager students trying to climb the social ladder, you might find professors unable or unwilling to give you their time unless you can convince them it'll be to their benefit. Fortunately, talking to students can often be just as worthwhile.
Other things you can do: read first-year textbooks. In the fields that you find interesting, read more advanced textbooks. This can be highly enjoyable in its own right; I like to savour the different kinds of argumentation and notions of salience that get used in different fields. You can also attend conferences and that sort of thing.
If you're interested in escaping the bounds of academia, of course, you should also talk to people who aren't academics. You'll still want to find people doing something worthwhile, of course: I find I get along best with artists, radical/activist types, social workers, etc.
One caveat in all this: approach unfamiliar beliefs and methodologies with openness and respect. Often it takes awhile to really grok why things are done in certain ways, and moreover, people tend to take offense (rightly!) at newbies who are too quick to attack what they don't yet understand. If something seems silly or irrational to you, it may very well be; but people are on the whole more rational than the LW crowd tends to give them credit for, and so it's just as likely that you simply aren't familiar yet with their motivations. Ask lots of questions, but ask them with the appropriate attitude, and actually listen carefully to the answers you get.
With respect to reading textbooks: I have been constantly checking this post to update my amazon wishlist.