Abstract
This paper grew out of a desire on the part of its author to be able to explain, for philosophy, the significance of Quantum Mechanics. The traditional formulation, based on Hilbert spaces and operators on them, leaves much to be desired if, for example, one is interested in the theory of physical measurement. (It may fairly be asked what the operation on a state function of partial differentiation really has to do with the actual business of measuring the momentum associated with that state function.)
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