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(1975) The logico-algebraic approach to quantum mechanics I, Dordrecht, Springer.
Boolean embeddings of orthomodular sets and quantum logic
Neal Zierler, Michael Schlessinger
pp. 247-262
By a "quantum logic" we mean a pair F, P where P is a set and F is a set of functions from P to the closed real unit interval satisfying three postulates which we describe in intuitive terms here. Cf. [2], [4], [7]. P may be interpreted as the set of events and F the set of states of a "physical system", and f(">x) then becomes the probability of occurrence of the event x in the state f. Since the outcome of an experiment is an estimate for some f(x), or a collection of such estimates, it is natural to identify events which cannot be distinguished by experiment.
Publication details
DOI: 10.1007/978-94-010-1795-4_14
Full citation:
Zierler, N. , Schlessinger, M. (1975)., Boolean embeddings of orthomodular sets and quantum logic, in C. A. Hooker (ed.), The logico-algebraic approach to quantum mechanics I, Dordrecht, Springer, pp. 247-262.
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