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The quantum probability calculus

Synthese 29 (1-4):131 - 154 (1974)

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The probabilistic argument for a non-classical logic of quantum mechanics.Patrick Suppes - 1966 - Philosophy of Science 33 (1/2):14-21.details The aim of this paper is to state the single most powerful argument for use of a non-classical logic in quantum mechanics. In outline the argument is the following. The working logic of a science is the logic of the events and propositions to which probabilities are assigned. A probability should be assigned to every element of the algebra of events. In the case of quantum mechanics probabilities may be assigned to events but not, without restriction, to the conjunction of (...) Download Export citation Bookmark 20 citations
Probability concepts in quantum mechanics.Patrick Suppes - 1961 - Philosophy of Science 28 (4):378-389.details The fundamental problem considered is that of the existence of a joint probability distribution for momentum and position at a given instant. The philosophical interest of this problem is that for the potential energy functions (or Hamiltonians) corresponding to many simple experimental situations, the joint "distribution" derived by the methods of Wigner and Moyal is not a genuine probability distribution at all. The implications of these results for the interpretation of the Heisenberg uncertainty principle are analyzed. The final section consists (...) Download Export citation Bookmark 18 citations

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