Before I chip in, I should warn you that I'm not a proper physicist or anything, so I could very well be wrong. If I am I am sure someone will correct me though.
With regards to the measurement problem, the way I've made sense of it is that before a particle interacts in a given situation there are certain properties that you can't know exactly, such as position. Not just because it's too hard to measure them, but because the particle itself doesn't even have an exact position or whatever. In order to make a measurement you force the particle to make some sort of interaction, and so it has to make up its mind what it's doing. So it's not just because humans want to look at it, the particle has been forced to make a choice because of an interaction, and so the wave function for all of this fuzzy information has to collapse. Before the interaction, the particle has made no commitment about what is going to happen to it, so to speak. So any time a particle has to "make up its mind" the wave function collapses, and when you measure something, you force the particle to make up its mind. A particle will choose what information it has when it interacts, and a measurement device makes particles interact so that we can see this information. The measurements have been made whether we look at them or not, so storing the measurements without looking would be no different to making the measurements and looking - either way the particles in question have interacted with the measuring device. It's the interaction that collapses the wave function, not us looking at it.
Like I said, I'm pretty sure this is all right, but I am still very much on the learning curve myself, so anyone please correct me if I am wrong.
