Spacetime singularities are expected to disappear in quantum gravity. Singularity resolution prima facie supports the view that spacetime singularities are mathematical pathologies of general relativity. However, this conclusion might be premature. Spacetime singularities are more accurately understood as global properties of spacetime rather than things. Therefore, if spacetime emerges in quantum gravity—as it is often claimed—then so may its singular structure. Although this proposal is intriguing, the attempt to uphold that spacetime singularities may be emergent fails. I provide three arguments in support of this claim, drawing on different views of spacetime emergence.