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Mitchell_Porter comments on [LINK] 2014 Fields Medals and Nevanlinna Prize anounced - Less Wrong Discussion

2 Post author: Sarunas 13 August 2014 10:58AM

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Comment author: Mitchell_Porter 13 August 2014 10:58:16PM 15 points [-]

WTF. That's a fucking ignorant remark.

You know, I'm having a bit of a bad day, so there's more venom in me than there normally is. And I might sometimes hesitate to attack a person for being stupid, since I might have committed an isomorphic stupidity myself.

But today, I am not going to care, I am just going to vent. Right now, I feel contempt for the arrogant ignorance of whoever said that. Lacking context, it's hard to know exactly where they are coming from. Is it some transhumanist, whose definition of "something important" reduces to research on life extension / nanotechnology / artificial intelligence / whatever activities it is whose importance they appreciate? Is it just someone, as one comment suggests, who uses applied math rather than working in pure math?

Could it be a comment, not about math, but about the sort of math that wins the Fields Medal? Possible, but unlikely. Anyway, this will be the core of my rebuttal: progress in math is progress in expanding what's thinkable. There was a time when we didn't have the concept of chaos theory, or sets, or calculus, or... by god the remark is so retarded, it reduces me to tumblr levels of illiterate vituperation.

Comment author: [deleted] 14 August 2014 09:03:18PM 4 points [-]

I completely agree that this was a dumb thing for Bostrom to quote.

Mathematics research generates positive feedback with almost every other branch of science; obviously existential risk is no exception. It's clear that we shouldn't devote all of our resources to merely mathematics, but at the same time saying Fields-level research is flatly not important is going too far.

Comment author: shminux 13 August 2014 11:28:59PM *  10 points [-]

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.

Comment author: private_messaging 15 August 2014 02:52:01PM *  2 points [-]

Yeah. It's quite retarded in the context as well. Bostrom's basically going on and on of how it is crunch time for the philosophy to solve eternal questions of ethics and such, and how this specific philosophy is so much more important.

Let's say someone actually solved those eternal questions.

To be specific, let's say we understood suffering. We can look at a description of a physical system, and then tell how much suffering that system is experiencing.

What does he think such answer would even look like? Picture a piece of paper, it has the answer on it, what do you think it looks like?

(Same as every other hard answer ever encountered by mankind, which wasn't bullshit: Mathematical formulas, with derivations and proofs, in all likelihood involving objects and algebras we didn't even come up with yet. Answer that is literally unthinkable today)

edit: I think it'd be fair to say that answering a difficult question before there's even a language in which an answer could be expressed is probably one of the most counter productive efforts known to mankind.