  We classify Bosonic Topological Insulators and Paramagnets in D<=4 spatial
dimensions using the cobordism approach. For D<4 we confirm that the only such
phase which does not fit into the group cohomology classification is the 3D
Bosonic Topological Insulator protected by time-reversal symmetry whose surface
admits an all-fermion topologically ordered state. For D=4 there is a unique
"beyond group cohomology" phase. It is protected by gravitational anomalies of
the boundary theory and is stable without any additional symmetry.
