On the Choice of Algebra for Quantization

Publication Year:
2016
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Repository URL:
http://philsci-archive.pitt.edu/id/eprint/12719
Author(s):
Feintzeig, Benjamin H.
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preprint description
In this paper, I examine the relationship between physical quantities and physical states in quantum theories. I argue against the claim made by Arageorgis (1995) that the approach to interpreting quantum theories known as Algebraic Imperialism allows for "too many states". I prove a result establishing that the Algebraic Imperialist has very general resources that she can employ to change her abstract algebra of quantities in order to rule out unphysical states.