I don't think we need to prove wireheading here. Suffices that it only cares about the input, and so will find a way to set that input. You wire it to paperclip counter to maximize paperclips, it'll be also searching for a way to replace counter with infinity or 'trick' the counter (anything goes). You sit here yourself rewarding it for making paperclips, with a pushbutton, it's search will include tricking you into pushing the button.
I also think that if you want it to self preserve you'll need to code in special stuff to equate self inside world model (which is not a full model of itself otherwise infinite recursion) with self in the real world. Actually on the recent comment by Eliezer maybe we agree on this:
http://lesswrong.com/lw/3kz/new_years_predictions_thread_2011/3a20
ahh by the way: it has to be embedded in the real world, which doesn't seem to allow for infinite computing power, so, no full perfect simulation of real world inside AIXI (or ad infinitum recursion) is allowed.
edit: and by AIXI i meant one of the computable approximations (e.g. AIXI-tl).
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).