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you don't remember correctly...
also, you see this effect in real life if you use a diffraction grating with an electron, it causes a pattern of diffraction to be formed by the single electron moving through the grating. This is caused by the electron taking all possible paths to it's destination.
Uh electron. Using the electron shows the dual nature of matter, and you would see the diffraction pattern, if you used the right target.
OH, i think I misunderstood your previous statement, because he came out of that thought experiment, feeling differently about it.