  We separate the criticisms of Hodges \cite{Hodges2005} and others into those
against the algorithm itself and those against its physical implementation. We
then point out that {\em all} those against the algorithm are either misleading
or misunderstanding, and that the algorithm is self consistent. The only
central argument against physical implementations of the algorithm, on the
other hand, is based on an assumption that its Hamiltonians cannot be
effectively constructed due to a lack of infinite precision. However, so far
there is no known physical principle dictating why that cannot be done. To show
that the criticism may not be a forgone conclusion, we point out the virtually
unknown fact that, on the contrary, simple instances of Diophantine equations
with apparently {\em infinitely precisely} integer coefficients have {\em
already} been realised in experiments for certain quantum phase transitions. We
also speculate on how central limit theorem of statistics might be of some help
in the effective implementation of the required Hamiltonians.
