I have never heard of any observation showing that gravitation as described by general relativity (and, so long as you aren't very close to something very massive and aren't travelling at a sizeable fraction of the speed of light, excellently approximated by Newton's law) might have "exceptions" on Solar System-scale, except possibly the Pioneer anomaly (for which there is a very plausible candidate explanation) and similar. When I read "errors" I hoped you meant measurement uncertainties, but I can't make sense of the rest of the paragraph assuming you did.
http://en.wikipedia.org/wiki/Philosophy_of_science#Duhem-Quine_thesis may help you a little bit. You should probably read the entire article, since you seem to think there were no errors or exceptions, and that some exceptions could disprove a power law.
If I understand the Singularitarian argument espoused by many members of this community (eg. Muehlhauser and Salamon), it goes something like this:
I'm in danger of getting into politics. Since I understand that political arguments are not welcome here, I will refer to these potentially unfriendly human intelligences broadly as organizations.
Smart organizations
By "organization" I mean something commonplace, with a twist. It's commonplace because I'm talking about a bunch of people coordinated somehow. The twist is that I want to include the information technology infrastructure used by that bunch of people within the extension of "organization".
Do organizations have intelligence? I think so. Here's some of the reasons why:
I talked with Mr. Muehlhauser about this specifically. I gather that at least at the time he thought human organizations should not be counted as intelligences (or at least as intelligences with the potential to become superintelligences) because they are not as versatile as human beings.
...and then...
I think that Muehlhauser is slightly mistaken on a few subtle but important points. I'm going to assert my position on them without much argument because I think they are fairly sensible, but if any reader disagrees I will try to defend them in the comments.
Mean organizations
* My preferred standard of rationality is communicative rationality, a Habermasian ideal of a rationality aimed at consensus through principled communication. As a consequence, when I believe a position to be rational, I believe that it is possible and desirable to convince other rational agents of it.