Quantum Mechanics as a Theory of Probability

  title={Quantum Mechanics as a Theory of Probability},
  author={Itamar Pitowsky},
We develop and defend the thesis that the Hilbert space formalism of quantum mechanics is a new theory of probability. The theory, like its classical counterpart, consists of an algebra of events, and the probability measures de…ned on it. The construction proceeds in the following steps: (a) Axioms for the algebra of events are introduced following Birkho¤ and von Neumann. All axioms, except the one that expresses the uncertainty principle, are shared with the classical event space. The only… CONTINUE READING
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