Thébault, Karim P. Y. (2012): Quantization as a Guide to Ontic Structure.
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A framework is presented for the provision of a structural realist ontology as dictated by the implications of simultaneously accepting both inter-formulation and classical-quantum species of ‘metaphysical’ underdetermination. The example of non-relativistic particle mechanics is considered, and it is argued that, modulo certain mathematical ambiguities, a viable and consistent candidate structural ontology can be constituted in terms of a Lie algebra morphism between algebras of observables and the relationship between the corresponding state spaces.