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Understanding Quantum Mechanics

I have some problems in understanding quantum mechanics (as far as Richard Feynman is concerned that is not anything new). Because of wave nature of quantum particles, one can never measure position or any physical property with exact precision. If there is a wave function which describes probability of finding a quantum particle somewhere or better to say if you have psi = f(x) and you want know its value for some x, you need to know what x is, but since quantum particles lack exact position even after collapse of wave function how can x be found? If it can be found then quantum particle has exact position, if not x can never be found. What am I missing?

Asked Dario

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