Finding your marbles in wavefunction collapse theories


Abstract
Lewis 313) has recently presented an argument claiming that, under the Ghirardi–Rimini–Weber theory of quantum mechanics, arithmetic does not apply to ordinary macroscopic objects such as marbles . In this paper, I disentangle two different lines of Lewis's argument, one devoted to what I call the standard GRW interpretation and the other to the mass density interpretation . I present both strains of Lewis's argument, and move on to criticise Lewis's position, focusing on his argument with respect to MDI. I analyse the structure of his argument, and follow this with a novel refutation of Lewis's argument, drawing on the original presentation of MDI as developed by Ghirardi et al. 5). I briefly consider the debate that ensued between Bassi and Ghirardi and Clifton and Monton and interpret it within the context of my analysis. I conclude that Lewis's Counting Anomaly fails to generate a genuine problem
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DOI 10.1016/s1355-2198(03)00065-0
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References found in this work BETA

Losing Your Marbles in Wavefunction Collapse Theories.Rob Clifton & Bradley Monton - 1999 - British Journal for the Philosophy of Science 50 (4):697 - 717.
Quantum Mechanics, Orthogonality, and Counting.Peter J. Lewis - 1997 - British Journal for the Philosophy of Science 48 (3):313-328.
More About Dynamical Reduction and the Enumeration Principle.Angelo Bassi & GianCarlo Ghirardi - 1999 - British Journal for the Philosophy of Science 50 (4):719-734.

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Citations of this work BETA

The Problem of Ontology for Spontaneous Collapse Theories.Bradley Monton - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (3):407-421.
Interpreting Spontaneous Collapse Theories.Peter J. Lewis - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):165-180.
GRW: A Case Study in Quantum Ontology.Peter J. Lewis - 2006 - Philosophy Compass 1 (2):224–244.

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