It is common lore that Newtonian gravity is sufficient in cosmology
for all scales smaller than the horizon, away from the vicinity of
very dense objects. However, strictly speaking there is no Newtonian
cosmology, only a family of cosmological generalisations of the
Newtonian theory. I will discuss problems of the usual generalisations
and an attempt towards a consistent post-Newtonian-like limit of
general relativity in the cosmological setting.