If you reprogram the paperclipper to value something other than paperclips, then you have a different program. The original one cannot value anything except paperclips.
Second, the idea that a paperclipper can "solve problems, speak language etc." is simply assuming what you should be proving. The point of the wand is that something that is limited to a single goal does not do those things, and I do not expect anything limited to the goal of paperclips to do such things, even if they would serve paperclips.
I understand how word vectors work, and no, they are not what I am talking about.
"That's just language." Yes, if you know how to use language, you are intelligent. Currently we have no AI remotely close to actually being able to use language, as opposed to briefly imitating the use of language.
It's possible to construct a paperclipper in theory. AIXI-tl is basically a paperclipper. It's goal is not paperclips but maximizing a reward signal, which can come from anything (perhaps a paperclip recognizer...) AIXI-tl is very inefficient, but it's a proof of concept that paperclipers are possible to construct. AIXI-tl is fully capable of speaking, solving problems, anything that it predicts will lead to more reward.
A real AI would be much more efficient approximation of AIXI. Perhaps something like modern neural nets, that can predict what actions wil...