- http://www.protevi.com/john/DG/PDF/Remarks_on_Complexity_The...
- http://www.euppublishing.com/doi/abs/10.3366/jipt.2010.0004
It could perhaps be useful to do similar work with computational complexity theory.
It is completely different to computational complexity[1] which is what is being discussed in Aaronson's article.
[0] http://en.wikipedia.org/wiki/Complex_system
[1] http://en.wikipedia.org/wiki/Computational_complexity_theory
There is a place for philosophy, but it shrinks every time a new discovery is made. It hasn't been quite as roughly treated as theology has, but the lag is only about a century. The vast majority of what philosophers once spent their time talking about is now part of some empirically grounded special science, where making stuff up and asserting broad foundational claims without proof or testing is no longer viable.
Linguistics, in particular, has carved off large chunks. Physics likewise: no fun speculating on the nature of space and time when we can pin them down pretty precisely. Various combinations of sociology, psychology, economics and political science have heavily encroached on moral philosophy.
This is not to say that the world can't always use a few philosophers to poke around in the darkness and perhaps cross the boundaries of other fields to good effect, but the majority of the work that was once their exclusive preserve is now almost always better handled by people with actual, detailed, empirical knowledge of the subject.
There is no value in privileging the human scale or human imagination, and fortunately no need to live within the artificial restrictions that philosophers place on themselves, particularly their refusal to do experiments or even make systematic observations to test their ideas, preferring instead to rely on "what just makes sense", because that has always worked so well in the past. Insisting on empirical testing is in no way limiting because ideas that cannot be tested are irrelevant, as they must not have any impact whatsoever on any aspect of existence (if they did, observing and/or manipulating that aspect of existence would allow the ideas related to them to be tested.)
Philosophy does teach a certain kind of rigour in thinking, because without either empiricism or mathematical deduction to fall back on philosophers have to be extremely meticulous to avoid falling off the real axis entirely, but that starts to look more like a skill that ought to be taught to everyone rather than the basis for an entire academic discipline.
How do you define philosophy? can't we see science as as subset of philosophy?
I find it unfortunate when people like the commentator above make the claims that they do because it detracts from the respect that the field of philosophy deserves. It may not have the most obvious practical applications but it deserves attention and some of it is really mind-bending stuff. When people like Steven Hawking shit on the subject it's really a shame. They are causing themselves to miss out and they are driving potential great thinkers away.
Philosophy does not deal with testing empirical theories. No there has not been encroachment by linguistics, sociology, psychology, or economics.
I'm sorry you wasted so much time typing this comment, I've read it three times now and I cant find a single thing you got right.