To take a specific example, consider a crystal ball that can discern the future but cannot predict the outcome. Unless there is another crystal ball nearby that is able to tell us how the crystal ball got its information, we cannot know that the crystal ball we see is actually the same crystal ball that the crystal ball behind us used to see.
What follows is a basic, roughly (but not precisely) Newtonian description of how quantum mechanics should work. For more, see Quantum Mechanics by Eötvös.
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