  The transition from quantum to classical statistics is studied in light of
Huggett's finding that the empirical data do not support the usual claim that
the distinction between classical and quantum objects consists in the capacity
of classical objects to carry permutable labels as opposed to quantum objects.
Since permutation of the labels of classical objects counts as a distinct
configuration, this feature is usually taken as signifying that classical
objects are not identical while quantum objects are. Huggett's finding
threatens that characterization of the distinction between classical and
quantum objects. The various statistical distributions are examined, and it is
found that other distinctions, corresponding to separability and
distinguishability, emerge in the classical limit. The role of the chemical
potential (the rate of change of the Helmholtz free energy with particle
number) is found to be of crucial significance in characterizing this emergence
of classicality from the quantum distributions.
