  We discuss three separate types of infinities that occur in
non-supersymmetric canonical gravity and string theory. We consider UV
perturbative singularities in non-supersymmetric gravity coupled to matter and
how these are related to loop corrections to beta functions for
non-supersymmetric strings. Next we consider classical cosmological
singularities that occur in these equations and discuss a specific singular
cosmology of Dudas and Mourad for non-supersymmetric string theory. Finally we
discuss the infinities that occur in quantum cosmology associated with topology
change and discuss how non-supersymmetric string quantum cosmology can be used
to address them.
