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The Logic of Experimental Questions
R. I. G. Hughes
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association
Vol. 1982, Volume One: Contributed Papers (1982), pp. 243-256
Stable URL: http://www.jstor.org/stable/192671
Page Count: 14
You can always find the topics here!Topics: Quantum mechanics, Boolean data, Quantum field theory, Algebra, Boolean algebras, Induced substructures, Mathematical lattices, Partially ordered sets, Physics, Quantum logic
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The pair (A, Δ ), where A is a physical quantity (an observable) and Δ a subset of the reals, may be called an 'experimental question'. The set Q of experimental questions is, in classical mechanics, a Boolean algebra, and in quantum mechanics an orthomodular lattice (and also a transitive partial Boolean algebra). The question is raised: can we specify a priori what algebraic structure Q must have in any theory whatsoever? Several proposals suggesting that Q must be a lattice are discussed, and rejected in favor of the weak claim that Q must be a Boolean atlas.
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association © 1982 The University of Chicago Press