A longer quote, for context, with the relevant passage highlighted:
Crunch time
We find ourselves in a thicket of strategic complexity, surrounded by a dense mist of uncertainty. Though many considerations have been discerned, their details and interrelationships remain unclear and iffy—and there might be other factors we have not even thought of yet. What are we to do in this predicament?
Philosophy with a deadline
A colleague of mine likes to point out that a Fields Medal (the highest honor in mathematics) indicates two things about the recipient: that he was capable of accomplishing something important, and that he didn’t. Though harsh, the remark hints at a truth.
Think of a “discovery” as an act that moves the arrival of information from a later point in time to an earlier time. The discovery’s value does not equal the value of the information discovered but rather the value of having the information available earlier than it otherwise would have been. A scientist or a mathematician may show great skill by being the first to find a solution that has eluded many others; yet if the problem would soon have been solved anyway, then the work probably has not much benefited the world. There are cases in which having a solution even slightly sooner is immensely valuable, but this is most plausible when the solution is immediately put to use, either being deployed for some practical end or serving as a foundation to further theoretical work. And in the latter case, where a solution is immediately used only in the sense of serving as a building block for further theorizing, there is great value in obtaining a solution slightly sooner only if the further work it enables is itself both important and urgent.1
The question, then, is not whether the result discovered by the Fields Medalist is in itself “important” (whether instrumentally or for knowledge’s own sake). Rather, the question is whether it was important that the medalist enabled the publication of the result to occur at an earlier date. The value of this temporal transport should be compared to the value that a world-class mathematical mind could have generated by working on something else. At least in some cases, the Fields Medal might indicate a life spent solving the wrong problem—for instance, a problem whose allure consisted primarily in being famously difficult to solve.
Similar barbs could be directed at other fields, such as academic philosophy.
I agree that in this case Bostrom is at best misguided.
EDIT: he clarifies later:
We could postpone work on some of the eternal questions for a little while, delegating that task to our hopefully more competent successors—in order to focus our own attention on a more pressing challenge: increasing the chance that we will actually have competent successors. This would be high-impact philosophy and high-impact mathematics.
His error, in my view, is assuming the fungibility of the two.
http://www.mathunion.org/general/prizes/2014
On August 13, 2014, at the opening ceremony of the [International Congress of Mathematicians](http://www.icm2014.org)) the Fields Medals, the Nevanlinna Prize and several other prizes were announced.
A full list of awardees with short citations:
Fields medals:
Artur Avila
Quanta Magazine on Artur Avila
Manjul Bhargava
Quanta Magazine on Manjul Bhargava
Martin Hairer
Quanta Magazine on Martin Hairer
Maryam Mirzakhani
Quanta Magazine on Maryam Mirzakhani
Nevalinna prize:
Subhash Khot
Quanta Magazine on Subhash Khot
Gauss Prize:
Stanley Osher
Chern Medal Award:
Phillip Griffiths
Leelavati Prize:
Adrián Paenza
In addition to that, Georgia Benkart was announced as the 2014 ICM Emmy Noether lecturer.
It might be interesting to note a curious fact about the new group of Fields medalists:
However, this unusual diversity of nationalities does not necessarily translate into a corresponding diversity of institutions, since (according to wikipedia) three out of four winners work in (or at least are affiliated with) universities that have already had awardees in the past.
Some notes on the works by Fields medalists can be found on Terence Tao's blog.
A related discussion on Hacker News.