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Why Philosophers Should Care About Computational Complexity

45 点作者 rxin将近 14 年前

6 条评论

DanielRibeiro将近 14 年前
There are also lots of great comments on the sibling submission from a few weeks ago: <a href="http://news.ycombinator.com/item?id=2861825" rel="nofollow">http://news.ycombinator.com/item?id=2861825</a>
da_dude4242将近 14 年前
"Philosophers" do care about computational complexity. System's Theory weaves through both fields in the context of "irreducible" complexity.<p><a href="http://en.wikipedia.org/wiki/Systems_theory#Developments_in_system_theories" rel="nofollow">http://en.wikipedia.org/wiki/Systems_theory#Developments_in_...</a><p>In that case the inverse is also true. Computer Scientists should care about what it means for something to be irreducible or computationally complex.
VladRussian将近 14 年前
&#62;As of 2011, the "largest known prime number," as reported by GIMPS (the Great Internet Mersenne Prime Search),15 is p := 243112609 − 1. But on reflection, what do we mean by saying that p is "known"?<p>what a rubbish. The "p" isn't "known". The "p" is "known to be prime". Professional philosopher must be able to feel the difference.
评论 #2897854 未加载
nandemo将近 14 年前
Previous discussion (2 weeks ago):<p><a href="http://news.ycombinator.com/item?id=2861825" rel="nofollow">http://news.ycombinator.com/item?id=2861825</a>
thirsteh将近 14 年前
Highly recommend Gödel, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter for those who are interested by this: <a href="http://amzn.to/qJVAAF" rel="nofollow">http://amzn.to/qJVAAF</a>
ristretto将近 14 年前
I am often under the impression that many philosophers take linguistic constructions such as "meaning" and "morality" to be entities that can exist on their own, outside functioning brains, while on the other hand they claim to be materialists. They strive to find a way to make logic (syntax) produce meaning, forgetting that semantic meaning is all about context, emotion and behavior shaped by millions of years of evolution. Philosophers do care about complexity (they care about everything, it's their job), but their metaphors are always about metaphysics or notions of some kind of "x-liness" that, like an "elan vital" will give meaning to the soulless constructions of mathematics and physics (chinese room, waterfalls, qualia).<p>The paper gives numerous examples where a philosopher could use complexity theory, but doesnt go so far as to make any conclusions, thus showing that comp. complexity is actually useful for these problems.