Is it possible to nominalize quantum mechanics?
Philosophy of Science 70 (5):1424-1436 (2003)
| Abstract | Hartry Field (1980) has developed an interesting nominalization strategy for Newtonian gravitation theory—a strategy that reformulates the theory without quantification over abstract entities. According to David Malament (1982), Field's strategy cannot be extended to quantum mechanics (QM), and so it only has a limited scope. In a recent work, Mark Balaguer has responded to Malament's challenge by indicating how QM can be nominalized, and by “doing much of the work needed to provide the nominalization” (Balaguer 1998, 114). In this paper, I critically assess Balaguer's proposal, and argue that it ultimately fails. Balaguer's strategy is incompatible with a number of interpretations of QM, in particular with Bas van Fraassen's version of the modal interpretation. And given that Balaguer's strategy invokes physically real propensities, it is unclear whether it is even compatible with nominalism. I conclude that the nominalization of QM remains a major problem for the nominalist. | |||||||||
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Nicholas Maxwell (1975). Does the Minimal Statistical Interpretation of Quantum Mechanics Resolve the Measurement Problem? Methodology and Science 8:84-101.
Sergio Martínez (1992). ¿Qué es una ley irreductiblemente estadística? Theoria 7 (1/2/3):715-727.
Paul Teller (1990). Prolegomenon to a Proper Interpretation of Quantum Field Theory. Philosophy of Science 57 (4):594-618.
Edward MacKinnon (2007). Schwinger and the Ontology of Quantum Field Theory. Foundations of Science 12 (4).
Pieter E. Vermaas (1999). A Philosopher's Understanding of Quantum Mechanics: Possibilities and Impossibilities of a Modal Interpretation. Cambridge University Press.
Nicholas Maxwell (1976). Towards a Micro Realistic Version of Quantum Mechanics, Part I. Foundations of Physics 6 (3):275-292.
Mark Balaguer (1996). Towards a Nominalization of Quantum Mechanics. Mind 105 (418):209-226.
Otávio Bueno (2003). Is It Possible to Nominalize Quantum Mechanics? Philosophy of Science 70 (5):1424-1436.
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