 Issues of determinism, from an epistemic perspective, are intimately bound up with the possibility of reliable prediction. (See the entry  Causal Determinism.)  The general issue of predictability itself in general relativity, even apart from the specific problems that singular structure may raise, is fascinating, philosophically rich, and very much unsettled. One can make a prima facie strong argument, for example, that prediction is possible in general relativity only in spacetimes that possess singularities (Hogarth 1997; Manchak 2013)! See Geroch (1977), Glymour (1977), Malament (1977), and Manchak (2008, 2013) for discussion of these and many other related issues. 