  This paper presents a new `partitional' approach to understanding or
interpreting standard quantum mechanics (QM). The thesis is that the
mathematics (not the physics) of QM is the Hilbert space version of the math of
partitions on a set and, conversely, the math of partitions is a skeletonized
set level version of the math of QM. Since at the set level, partitions are the
mathematical tool to represent distinctions and indistinctions (or definiteness
and indefiniteness), this approach shows how to interpret the key non-classical
QM notion of superposition in terms of (objective) indefiniteness between
definite alternatives (as opposed to seeing it as the sum of `waves'). Hence
this partitional approach substantiates what might be called the Objective
Indefiniteness Interpretation or what Abner Shimony called the Literal
Interpretation of QM.
