Follow the Math!: The Mathematics of Quantum Mechanics as the Mathematics of Set Partitions Linearized to (Hilbert) Vector Spaces

The purpose of this paper is to show that the mathematics quantum mechanics (QM) set partitions (which specify indefiniteness and definiteness) linearized vector spaces, particularly in Hilbert spaces. That is, math QM space version describe objective at level partitions. key analytical concepts are definiteness versus indefiniteness, distinctions indistinctions, distinguishability indistinguishability. machinery go from indefinite more definite states partition join operation prefigures projective measurement as well formation maximally-definite state descriptions by Dirac's Complete Sets Commuting Operators (CSCOs). This development measured quantitatively logical entropy level. follow-the-math approach supports Literal Interpretation QM--as advocated Abner Shimony among others which sees a reality quite different common sense classical view being "definite all way down."