The driving force behind relativity and quantum mechanics was a belief that one should concentrate on the mathematics behind physics and not the popular explanations.
Not surprisingly, the popular explations that arise from both studies end up falling short. This is the nature of language and logic.
People who start a study of physics with the explanations of quantum mechanics will run into problems just as the people who started their study of physics with the idea that Newtonian Physics explained it all.
I found the explanation Nima gave about the Planck length being an insuperable barrier to precise factual understanding compelling. I wish I had a better grasp of how his positive geometric technique worked because it's so much less complex than calculus and his claims for it are encouraging.
Thanks!