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This paper presents a new `partitional' approach to understanding orinterpreting standard quantum mechanics (QM). The thesis is that themathematics (not the physics) of QM is the Hilbert space version of the math ofpartitions on a set and, conversely, the math of partitions is a skeletonizedset level version of the math of QM. Since at the set level, partitions are themathematical tool to represent distinctions and indistinctions (or definitenessand indefiniteness), this approach shows how to interpret the key non-classicalQM notion of superposition in terms of (objective) indefiniteness betweendefinite alternatives (as opposed to seeing it as the sum of `waves'). Hencethis partitional approach substantiates what might be called the ObjectiveIndefiniteness Interpretation or what Abner Shimony called the LiteralInterpretation of QM.

The new partitional approach to (literally) interpreting quantum mechanics