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Miraculous Consilience of Quantum Mechanics

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The Place of Probability in Science

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 284))

Abstract

Two events are said to be (positively) correlated when the occurrence of one increases the probability of the other. Provided that neither event causes the other, a causal model must “tie correlated events together” by postulating the existence of a common cause, or a hidden variable. But, Bell-type examples present multiple correlations that common causes do not explain because they tie the correlations together in the wrong way. Quantum mechanics succeeds where the common cause explanation fails. The successful quantum mechanical unification is a feature of good scientific theories that William Whewell referred to as the consilience of inductions. This essay describes how quantum mechanics achieves this successful consilience, and how it affects our interpretation of the theory.

This paper was written, in part, under a grant from the Graduate School of the University of Wisconsin-Madison, which I gratefully acknowledge. I would also like to thank Elliott Sober for helpful comments on an earlier draft.

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References

  • Arntzenius F (1993) The common cause principle. PSA 1992, vol 2. Philosophy of Science Association, East Lansing, Michigan, pp 227–237

    Google Scholar 

  • Arntzenius F (1997) Transition chances and causation. Pacific Philos Quart 78:149–168

    Article  Google Scholar 

  • Bell JS (1964) On the Einstein–Podolsky–Rosen paradox. Physics 1:195–200

    Google Scholar 

  • Bell JS (1971) Introduction to the hidden variable question. In: d’Espagnat B (ed) Foundations of quantum mechanics. Academic, New York

    Google Scholar 

  • Butts RE (ed) (1989) William Whewell: theory of scientific method. Hackett Publishing Company, Indianapolis/Cambridge

    Google Scholar 

  • Cartwright N (1989) Nature’s capacities and their measurement. Oxford University Press, Oxford

    Google Scholar 

  • Eells E (1991) Probabilistic causality. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Einstein A, Podolsky B, Rosen N (1935) Can quantum-mechanical description of physical reality be considered complete? Phys Rev 47:777–780

    Article  Google Scholar 

  • Feynman R, Leighton, Sands (1965) The Feynman lectures on physics: quantum mechanics, vol III. Addison-Wesley, Reading, MA

    Google Scholar 

  • Forster MR (1984) Probabilistic causality and the foundations of modern science. Ph.D. thesis, University of Western Ontario

    Google Scholar 

  • Forster MR (1986) Bell’s paradox and path analysis. In: Weingartner P, Dorn G (eds) Foundations of physics. Holder-Pichler-Tempsky, Vienna, pp 191–226

    Google Scholar 

  • Greenberger DM, Horne MA, Zeilinger A (1989) Going beyond bell’s theorem. In: Kafatos M (ed) Bell’s theorem, quantum theory and conceptions of the universe. Kluwer, Dordrecht, pp 69–72

    Chapter  Google Scholar 

  • Harper WL (2002) Howard Stein on Isaac Newton: beyond hypotheses. In: David BM (ed) Reading natural philosophy: essays in the history and philosophy of science and mathematics. Open Court, Chicago/La Salle, IL, 71–112

    Google Scholar 

  • Hausman DM (1998) Causal Asymmetries. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Hung E (1997) The nature of science: problems and perspectives. Wadsworth Publishing Co, Belmont, CA

    Google Scholar 

  • Khinchin AI (1960) Mathematical foundations of quantum statistics. Dover, Mineola, NY

    Google Scholar 

  • Kryukov A (2003) Coordinate formalism on abstract hilbert space: kinematics of a quantum measurement. Found Phys 33(3):407–443

    Article  Google Scholar 

  • Kryukov A (2004) On the problem of emergence of classical space–time: the quantum-mechanical approach. Found Phys 34(8):1225–1248

    Article  Google Scholar 

  • Kryukov A (2005) Linear algebra and differential geometry on abstract Hilbert space. Int J Math Math Sci 14:2241

    Article  Google Scholar 

  • Kryukov A (2006) Quantum mechanics on Hilbert manifolds: The principle of functional relativity. Found Phys 14:2241–2275

    Google Scholar 

  • Kryukov A (2007) On the measurement problem for a two-level quantum system. Found Phys 37:3–39

    Article  Google Scholar 

  • Kryukov A (2008) Nine theorems on the unification of relativity and quantum mechanics. J Math Phys 49:102–108

    Article  Google Scholar 

  • Kryukov A (2010) A possible mathematics for the unification of quantum mechanics and general relativity. J Math Phys 51:022110

    Article  Google Scholar 

  • Mermin DN (1990) Quantum mysteries revisited. Am J Phys 58:731–734

    Article  Google Scholar 

  • Myrvold W, William LH (2002) Model selection, simplicity, and scientific inference. Philos Sci 69:S135–S149

    Article  Google Scholar 

  • Reichenbach H (1938) Experience and prediction. University of Chicago Press, Chicago, IL

    Google Scholar 

  • Reichenbach H (1956) The direction of time. University of California Press, Berkeley, CA

    Google Scholar 

  • Sober E (1984) The nature of selection: evolutionary theory in philosophical focus. MIT Press, Cambridge, MA

    Google Scholar 

  • Sober E (1994) Temporally Oriented Laws in Sober (1994). From a biological point of view – essays in evolutionary philosophy. Cambridge University Press, Cambridge, pp 233–251

    Book  Google Scholar 

  • van Fraassen BC (1982) The Charybdis of realism: epistemological foundations of Bell’s inequality argument. Synthese 52:25–38

    Article  Google Scholar 

  • Whewell W (1858) Novum Organon Renovatum, Part II, 3rd edn. The philosophy of the inductive sciences. London, Cass, 1967

    Google Scholar 

  • Woodward J (2003) Making things happen: a theory of causal explanation. Oxford University Press, Oxford/New York

    Google Scholar 

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Correspondence to Malcolm R. Forster .

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Forster, M.R. (2010). Miraculous Consilience of Quantum Mechanics. In: Eells, E., Fetzer, J. (eds) The Place of Probability in Science. Boston Studies in the Philosophy of Science, vol 284. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3615-5_9

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