Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-26T17:45:05.040Z Has data issue: false hasContentIssue false

The Logic of Experimental Questions

Published online by Cambridge University Press:  28 February 2022

R. I. G. Hughes*
Affiliation:
Yale University

Extract

The experimental procedures of physics assign values to physical quantities; we measure the temperature of a gas, the luminosity of a light source, the momentum of a particle. Any pair, q = (A, Δ), with A an observable quantity, Δ a Borel subset of the reals, we will call an experimental question, though some prefer the term proposition. For example, in lowering my big toe into the bath, I address the experimental question (T,Δ) to the system consisting of my bathwater, where T is the temperature measured in °F, and Δ is (approximately) the interval (110,120). Theory tells us what answers we may expect, given certain initial conditions. A determinist theory like classical mechanics tells us that, under specified conditions, the measurement of a quantity will yield a particular result with certainty, whereas a statistical theory like quantum mechanics tells us what probability attaches to various possible outcomes of a measurement.

Type
Part VI. Philosophy of Physics
Copyright
Copyright © Philosophy of Science Association 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Birkhoff, G. and von Neumann, J. (1936). “The Logic of Quantum Mechanics.” Annals of Mathematics 37: 823843.CrossRefGoogle Scholar
Bridgman, P.W. (1927). The Logic of Modern Physics. New York: Macmillan.Google Scholar
Bub, J. (1977). “Von Neumann's Projection Postulate as a Probability Conditionalization Rule in Quantum Mechanics.” Journal of Philosophical Logic 6: 381390.CrossRefGoogle Scholar
Czelakowski, J. (1974). “Logics Based on Partial Boolean σ-Algebras (1).” Studia Logica 34: 371396.CrossRefGoogle Scholar
Finkelstein, D. (1969). “Matter, Space and Logic.” In Proceedings of the Boston Colloquium for the Philosophy of Science. (Boston Studies in the Philosophy of Science. Volume V.) Edited by Cohen, R.S. and Wartofsky, M.W.. Dordrecht: Reidel. Pages 199215.Google Scholar
Gudder, S.P. (1972). “Partial Algebraic Structures Associated with Orthomodular Posets.” Pacific Journal of Mathematics 41: 717730.CrossRefGoogle Scholar
Hardegree, G.M. and Frazer, P.J. (1981). “Charting the Labyrinth of Quantum Logics.” Current Issues in Quantum Logic. Edited by Beltrametti, E. and van Fraassen, B.C.. London: Plenum Press. Pages 5376.CrossRefGoogle Scholar
Hughes, R.I.G. (1980). “Quantum Logic and the Interpretation of Quantum Mechanics.” In PSA 1980 Volume One. Edited by Asquith, P.D. and Giere, R.N.. East Lansing, Michigan: Philosophy of Science Association. Pages 5567.Google Scholar
Jauch, J.M. (1968). Foundations of Quantum Mechanics. Reading, Mass.: Addison Wesley.Google Scholar
Jauch, J.M. and Piron, C. (1969). “On the Structure of Quantal Propositional Systems.” Helvetica Physica Acta 43: 842848.Google Scholar
Kochen, S. and Specker, E. (1965). “Logical Structures Arising in Quantum Theory.” The Theory of Models. (Proceedings of the 1963 International Symposium at Berkeley.) Edited by Addison, J.W., et al. Amsterdam: North Holland. Pages 177189.Google Scholar
Mackey, G. (1963). The Mathematical Foundations of Quantum Mechanics. New York: Benjamin.Google Scholar
Maczyński, M.J. (1967). “A Remark on Mackey's Axiom System for Quantum Mechanics.” Bulletin de l'Académie Polonaise des Sciences. Série des Sciences Mathématiques, Astronomiques et Physiques XV: 583-587.Google Scholar
Piron, C. (1972). “Survey of General Quantum Physics.” Foundations of Physics 2: 287314.CrossRefGoogle Scholar
Piron, C. (1977). “On the Logic of Quantum Logic.” Journal of Philosophical Logic 6: 481484.CrossRefGoogle Scholar
van Fraassen, B.C. (1974). “The Einstein-Podolsky-Rosen Paradox.” Synthese 29: 291309.CrossRefGoogle Scholar