  We show that globally and regularly hyperbolic future geodesically incomplete
isotropic universes, except for the standard all-encompassing `big crunch', can
accommodate singularities of only one kind, namely, those having a
non-integrable Hubble parameter, $H$. We analyze several examples from recent
literature which illustrate this result and show that such behaviour may arise
in a number of different ways. We also discuss the existence of new types of
lapse singularities in inhomogeneous models, impossible to meet in the
isotropic ones.
