Sorry for the allegorical language if it offended you.
There is a difference between not finding a solution for a problem, and not even understanding what a solution may look like even in the abstract form.
It is also not a good sign when the problem gets to be more of a mystery the more science we discover.
The concern here is that we have an irrational view that rationalism is a universal tool. The fact that we have unsolved scientific and intellectual problems is not a proof of that. The fact that there seem to be problems that in their very nature seem to be unsolvable by reason is.
Sorry for the allegorical language if it offended you.
I am not offended
There is a difference between not finding a solution for a problem, and not even understanding what a solution may look like even in the abstract form.
Certainly. And further on that scale, there is "understanding so little of the problem that you're nor even sure there's a problem in the first place".
Progress on the the P vs NP problem has been largely limited to determining what the solution doesn't look like , and few if any people have any idea what it does look li...
I encounter many intelligent people (not usually LWers, though) who say that despite our recent scientific advances, human consciousness remains a mystery and currently intractable to science. This is wrong. Empirically distinguishable theories of consciousness have been around for at least 15 years, and the data are beginning to favor some theories over others. For a recent example, see this August 2011 article from Lau & Rosenthal in Trends in Cognitive Sciences, one of my favorite journals. (Review articles, yay!)
Abstract: