Classical statistics: resolving paradoxes since 1749

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There has been renewed interest in the effect that pre and postselection has on the foundations of quantum theory. Often, but not solely, in conjunction with weak measurement, pre and postselection scenarios are said to simultaneous create and resolve paradoxes. These paradoxes are said to be profound quandaries which bring us closer to the resolving the mysteries of the quantum. Here I was show that the same effects are present in classical physics when postselection and disturbance are allowed. In particular, I will demonstrate that anomalous weak values and protective measurements are already present in classical theory, thereby showing that these effects do not represent something uniquely quantum nor something that ought to be thought of as paradoxical. This is joint work with Josh Combes and Matt Leifer.