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Over a very small number of rolls of the dice, the uncertainty principle is very important.
Thus, the more precisely the position is determined, the less precisely the momentum is known, and conversely.
In effect, we have redefined the task of science to be the discovery of laws that will enable us to predict events up to the limits set by the uncertainty principle.
One may say that predictions are dangerous particularly for the future. If the danger involved in a prediction is not incurred, no consequence follows and the uncertainty principle is not violated.
In the strict formulation of the law of causality—if we know the present, we can calculate the future—it is not the conclusion that is wrong but the premise. On an implication of the uncertainty principle.
Quantum mechanics brought an unexpected fuzziness into physics because of quantum uncertainty, the Heisenberg uncertainty principle. String theory does so again because a point particle is replaced by a string, which is more spread out.
Old Newtonian physics claimed that things have an objective reality separate from our perception of them. Quantum physics, and particularly Heisenberg's Uncertainty Principle, reveal that, as our perception of an object changes, the object itself literally changes.