  We give an equivalent definition of the local volume of an isolated
singularity Vol_{BdFF}(X,0) given in [BdFF12] in the Q-Gorenstein case and we
generalize it to the non-Q-Gorenstein case. We prove that there is a positive
lower bound depending only on the dimension for the non-zero local volume of an
isolated singularity if X is Gorenstein. We also give a non-Q-Gorenstein
example with Vol_{BdFF}(X,0)=0, which does not allow a boundary \Delta such
that the pair (X,\Delta) is log canonical.
