To spell things out - a problem with the idea of a law saying that "a system can't develop a system more powerful than itself by anything other than chance" is that it is pretty easy to do that.
Two humans can (fairly simply) make more humans, and then large groups of humans can have considerably more power than the original pair of humans did.
For example, no human can remember the whole internet and answer questions about its content - but a bunch of humans and their artefacts can do just that.
This is an example of synergy - the power of collective intelligence.
I can solve more problems when I have a hammer than when I don't, I can be synergistic with a hammer, you don't need other people for synergy. This just means that the power depends upon the environment.
Lets talk about the power P of a system S being defined as a function P(S, E). With E being the environment. So when I am talking about something more powerful I mean for all E. P(S1,E) > P (S2,E). Or at least for huge amounts of E or on average. It is not sufficient to show a single case.
I don't think that organizations of humans have a coherent goal structure, so they don't have a coherent power.
As promised, here is the "Q" part of the Less Wrong Video Q&A with Eliezer Yudkowsky.
The Rules
1) One question per comment (to allow voting to carry more information about people's preferences).
2) Try to be as clear and concise as possible. If your question can't be condensed to a few paragraphs, you should probably ask in a separate post. Make sure you have an actual question somewhere in there (you can bold it to make it easier to scan).
3) Eliezer hasn't been subpoenaed. He will simply ignore the questions he doesn't want to answer, even if they somehow received 3^^^3 votes.
4) If you reference certain things that are online in your question, provide a link.
5) This thread will be open to questions and votes for at least 7 days. After that, it is up to Eliezer to decide when the best time to film his answers will be. [Update: Today, November 18, marks the 7th day since this thread was posted. If you haven't already done so, now would be a good time to review the questions and vote for your favorites.]
Suggestions
Don't limit yourself to things that have been mentioned on OB/LW. I expect that this will be the majority of questions, but you shouldn't feel limited to these topics. I've always found that a wide variety of topics makes a Q&A more interesting. If you're uncertain, ask anyway and let the voting sort out the wheat from the chaff.
It's okay to attempt humor (but good luck, it's a tough crowd).
If a discussion breaks out about a question (f.ex. to ask for clarifications) and the original poster decides to modify the question, the top level comment should be updated with the modified question (make it easy to find your question, don't have the latest version buried in a long thread).
Update: Eliezer's video answers to 30 questions from this thread can be found here.