Well, I did a PhD in quantum field theory and as part of that published a paper on renormalization..... Of course the infinite sets involved can be approximated

Well, I did a PhD in quantum field theory and as part of that published a paper on renormalization..... Of course the infinite sets involved can be approximated using finite sets if one does not mind losing important symmetries. Still, these finite sets would still be frightingly and incomprehensibly large.... If one wants to comprehend anything one may be better off just ignoring quantum mechanics..... And I am not talking about the measurement problem. I am talking about the incredible vastness of the state space. The wave function of the universe is an incredible and completely untractable thing even if one assumes it is finite. It contains all possible histories of the universe for one thing and lets all of these possible histories interact with one another.