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twofish-quant said:If that's what you want then it's quite simple. I contribute to human knowledge through mathematics and physics through original research and theory everyday. But...
If I'm honest with myself, that's not all I want. I grow up in an environment where I got lots of recognition and praise for being "smart" and one of the things that motivates me (like it does every else) is the social approval of people around you. It feels good to have the name Professor attached to you and get money and prizes. That's harder.
Let me ask you a question. Would you be willing to contribute to human knowledge if no one had any idea that you were doing it?
Random question. Are you interested in teaching physics to people who *aren't* that interesting in math and physics and really don't have that much preparation?
Anyway, I like my job because I'm consistently both in teaching mode and learning mode. To give an example, each quarter I have to write a report about what I did that quarter, and at the end of the year, I have to write a one to two page summary of what I did that year, and how much bonus I get and whether I even have a job next year depends a lot on what I write on that report.
Personally, I think it's cool because it's *HARD* teaching. Basically I have to give a mini-math/physics lesson to people that may or may not be technical, and I have to do it in two pages. I have to explain some very complex technical concepts and explain exactly how those concepts make a difference in the profitability of the firm. I think it's pretty cool.
To your first question: I guess recognition is a factor in my desire to discover something, but it is not at all the complete motivation. One of the things that I take most pride in are 2 (probably) original proofs of the Pythagorean theorem, because they feel like my original creation and discovery; it is highly unlikely that people will ever praise me for that or I will receive any awards from it... I haven't really even told my teachers (barring one professor who verified it).
To your second question: I would not mind teaching someone who didn't have a lot of background knowledge; I would, however, not enjoy teaching someone who wasn't interested, although it may be necessary to do so at some points. The way I discovered this is due to a job that I had with tutoring all last year... Most of the time it was exhausting and very unenjoyable because their parents were forcing them to be tutored and they had absolutely no interest in the subject. However, sometimes there would be kids who would genuinely be interested, and who would have visible progress, and that was really the only enjoyable part of the job.
About my priorities... I guess I would rather have a constant increase in knowledge, but I really don't like the working/self-studying model... I would much rather have learning as my profession, rather than living a drab life that is temporarily lifted into enlightenment only to be again disappointed.
Also, I read the comments of a prospective math Ph.D... To be quite honest, I would favor getting a Math Ph.D to a Physics one. If I were to get involved to some extent in statistics, would my job prospects with a Math Ph.D be relatively positive?
Again, thanks for all the feedback.