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The Probabilistic Argument for a Non-Classical Logic of Quantum Mechanics
Philosophy of Science
Vol. 33, No. 1/2 (Mar. - Jun., 1966), pp. 14-21
Stable URL: http://www.jstor.org/stable/186434
Page Count: 8
You can always find the topics here!Topics: Algebra, Quantum mechanics, Axioms, Probabilities, Mathematical logic, Abstract algebra, Nonstandard logics, Boolean algebras, Probability theory, Quantum field theory
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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 two events. The conclusion is that the working logic of quantum mechanics is not classical. The nature of the logic that is appropriate for quantum mechanics is examined.
Philosophy of Science © 1966 The University of Chicago Press