Person A sets up the Schrödinger's cat experiment with a twist: The box also includes a camera, that streams to the monitor of Person B. When the experiment completes, person B knows if the cat is alive or not, however, person B does not inform person A.
Is it true, for person A, that "the cat is both alive and dead"?
Although I am fine with understanding the "simple" operation of addition that superposition is, I'm having great difficulty using "and" between different outcomes. I still feel that it is alive OR dead, despite the fact that I'll have to use $|\text{alive}\rangle+|\text{dead}\rangle$ in all calculations.