The ontological distinction between units and entities

@article{Cooper2012TheOD,
  title={The ontological distinction between units and entities},
  author={Gordon Cooper and Stephen M. Humphry},
  journal={Synthese},
  year={2012},
  volume={187},
  pages={393-401}
}
The base units of the SI include six units of continuous quantities and the mole, which is defined as proportional to the number of specified elementary entities in a sample. The existence of the mole as a unit has prompted comment in Metrologia that units of all enumerable entities should be defined though not listed as base units. In a similar vein, the BIPM defines numbers of entities as quantities of dimension one, although without admitting these entities as base units. However, there is a… 

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