  We study theoretically electronic transport through a normal metal--
superconductor (NS) interface and show that more than one conductance may be
defined, depending on the pair of chemical potentials whose difference one
chooses to relate linearly to the current. We argue that the situation is
analogous to that found for purely normal transport, where different
conductance formulae can be invoked. We revisit the problem of the "right"
conductance formula in a simple language, and analyze its extension to the case
of mesoscopic superconductivity. The well-known result that the standard
conductance of a NS interface becomes 2 (in units of $2e^2/h$) in the
transmissive limit, is viewed here in a different light. We show that it is not
directly related to the presence of Andreev reflection, but rather to a
particular choice of chemical potentials. This value of 2 is measurable because
only one single-contact resistance is involved in a typical experimental setup,
in contrast with the purely normal case, where two of them intervene. We
introduce an alternative NS conductance that diverges in the transmissive limit
due to the inability of Andreev reflection to generate a voltage drop. We
illustrate numerically how different choices of chemical potential can yield
widely differing I--V curves for a given NS interface.
