TITLE: Where to find (personal) motivation
QUESTION [23 upvotes]: I think it would be appropriate to make this question CW...
It is likely that this question will not survive here on MO for long, but I do hope that the community gives it a chance. I also hope to get answers that might help others feeling unmotivated, but in general not discouraged. 
Among mathematicians, especially the young bunch (postdocs and beginning tenure track), among many causes for lack of productivity, two seem to stand out most often: discouragement and lack of motivation, or the combination of both. I in particular fix attention on those mathematicians who otherwise are (would be) very productive -- an assertion made plausible perhaps by their previous contributions. I would go as far as to say that many, if not most, of us know of at least one such example.
There are many possible reasons for discouragement, many of which have been discussed elsewhere (I do not intend to give specific references, especially since what I have in mind are such sources as blogs and discussion forms on the internet, including MO). Examples of such reasons are family arrangements, low salary, high stress (publish or perish kind), difficult personal relations with other members of the department, and other (or, very often, any combination of the above).
Let us assume that discouragement is not the problem, but lack of motivation is. Namely, assume our young mathematician is tormented by questions such as:
Who needs this? What is this all good for? (i.e. lack of immediate, appreciable feedback).
There are many mathematicians far stronger than me contributing significantly to the field; what is my work good for? (self-deprecation)
Would I be happier doing a nine-to-five job, getting my six figures, and living a simple, earthly life? Why am I even concerned with all this abstract nonsense? (resentment, retreat)
I don't necessarily have a problem with academia. In fact, I like being in academia. Maybe I should change fields, but I feel I am now so deep into math, that changing now might actually hurt my career. Besides, I know nothing about other fields, and it would take me some time just to get up to speed. What should I do? 
I hope my colleagues do not find out about how I feel, as this is rather embarrassing; however, carrying on with my duties (especially research) is becoming more and more difficult. Should I share my feelings with anyone?
My question is, what would you say if the said imaginary mathematician was your colleague and a close enough friend to come and share her feelings with you?

REPLY [34 votes]: There was a panel session on the future of algebraic topology at the birthday conference for Gunnar Carlsson, Ralph Cohen, and Ib Madsen.  At the beginning of the panel, Bill Dwyer raised the point that most of us are never going to do work that will be remembered hundreds of years hence by future mathematicians, and largely will be read by a small circle of our peers.  Rather than despairing at this fact, he compared this work to "making a nice dinner for your friends," an intrinsically worthwhile and rewarding task.  That is, being a part of this community and doing the work that we do is often its own reward.
Not a perfect answer by any means, but one that I find more honest and compelling as time goes by.

REPLY [8 votes]: To say "be honest" may clarify or debunk some commodification or over-hype-ing or iconicization issues that can cloud one's thinking... and apparently increase the  distance between "work" and "reality".
Reminding oneself of the apparent human tendency to iconify... can be helpful in discounting the weight of the icons. :)
Asking "what is/was the prior issue?"... as opposed to asking what is "publishable".
Similarly "What is the real confusion/unknown/difficulty...?", as opposed to "what are the questions raised "in the literature".
"The literature" is, in effect, the best that we can do (if we do also nowadays include on-line things, IMHO), but, at the same time, it is "not canon", insofar as it is ... only the best we can do.
That is, one's demotivation due to observing hypocrisy or pointless chatter passing for "research" should not be allowed to be a distraction for genuine issue. Easier said than done, sure, especially when one thinks in terms of tenure or salary increases and so on. But, if one can suspend those concerns, the corrupting of commodification explains many things (as in most human enterprises where people need to make a living). 
The far subtler question of whether, apart from the discrepancy between hype and daily life, one simply doesn't care about working on mathematics... well, yes, it's awkward when one has committed a part of one's life to it and changes one's mind.
Conceivably... the ugliness of the commodification may have soured one's feelings... and, conceivably, once recognized, that could be discounted... thus "saving" one's interest in the original thing-itself...

REPLY [6 votes]: Let me focus on the first couple of objections (what is my work good for, given that there are many mathematicians far stronger than me). My answer is: your young colleague's activity is good and useful, at least in a weak, yet meaningful  sense. Even if one thinks that at last, only the work of the geniuses counts, what is still debatable, he should agree that geniuses stem from the mass of workers, and that great discoveries rest on a great number of easy examples. Archimedes or Gauss grew up in  societies were the average maths culture was very high. The same happens in sport: there has been Pele, because virtually every kid in every village of Brazil plays soccer. 
There is no scientific society with isolated geniuses: it's a myth usually spread by those governments who want to cut research funding. As I see it, if one is able to do a honest cultural work, and to enjoy it, should do it with no hesitation.  It has a great civil value, in a word were a lot of people instead dedicate themselves to drug trade, finance, politics, pornography, war.