  All attempts to quantize gravity face several difficult problems. Among these
problems are: (i) metric positivity (positivity of the spatial distance between
distinct points), (ii) the presence of anomalies (partial second-class nature
of the quantum constraints), and (iii) perturbative nonrenormalizability (the
need for infinitely many distinct counterterms). In this report, a relatively
nontechnical discussion is presented about how the program of affine quantum
gravity proposes to deal with these problems.
