Yes, I just changed the notation to be more standard. The point remains. There need not be any "x" that corresponds to "pick a new r" or to "pretend x was really x'". If there was such an x, it wouldn't in general have high utility.
x is just an input string. So, for example, each x could be a frame coming from a video camera. AIXI then has a reward function r(x), and it maximizes the sum of r(x) over some large number of time steps. In our example, let's say that if the camera is looking at a happy puppy, r is big, if it's looking at something else, r is small.
In the lab, AIXI might have to choose between two options (action can be handled by some separate output string, as in Hutter's paper):
1) Don't follow the puppy around.
2) Follow the puppy around.
Clearly, it will do 2, beca...
I was wondering - what fraction of people here agree with Holden's advice regarding donations, and his arguments? What fraction assumes there is a good chance he is essentially correct? What fraction finds it necessary to determine whenever Holden is essentially correct in his assessment, before working on counter argumentation, acknowledging that such investigation should be able to result in dissolution or suspension of SI?
It would seem to me, from the response, that the chosen course of action is to try to improve the presentation of the argument, rather than to try to verify truth values of the assertions (with the non-negligible likelihood of assertions being found false instead). This strikes me as very odd stance.
Ultimately: why SI seems certain that it has badly presented some valid reasoning, rather than tried to present some invalid reasoning?
edit: I am interested in knowing why people agree/disagree with Holden, and what likehood they give to him being essentially correct, rather than a number or a ratio (that would be subject to selection bias).