Do you also think that having more contrarians who disagree that "2+2=4" would increase our likelihood of having correct beliefs? I mean, if they are wrong, we will see the weakness in their arguments and refuse to update, so there is no harm; but if they are right and we are wrong, it could be very helpful.
More generally, what is your algorithm for deciding for which values of X we need more contrarians who disagree with X?
If people come to LessWrong thinking "2+2 != 4" or "computer manufacturing isn't science", is saying "You're stupid" really raising the sanity line in any way? In short, we should distinguish between punishing disagreement and punishing obstinate behavior/contrarianism.
I'm worried that LW doesn't have enough good contrarians and skeptics, people who disagree with us or like to find fault in every idea they see, but do so in a way that is often right and can change our minds when they are. I fear that when contrarians/skeptics join us but aren't "good enough", we tend to drive them away instead of improving them.
For example, I know a couple of people who occasionally had interesting ideas that were contrary to the local LW consensus, but were (or appeared to be) too confident in their ideas, both good and bad. Both people ended up being repeatedly downvoted and left our community a few months after they arrived. This must have happened more often than I have noticed (partly evidenced by the large number of comments/posts now marked as written by [deleted], sometimes with whole threads written entirely by deleted accounts). I feel that this is a waste that we should try to prevent (or at least think about how we might). So here are some ideas: