 The case of global spacetime geometry is not a typical instance of underdetermination of theory by evidence, as discussed by philosophers, for two reasons (see Manchak 2009, Norton 2011, Butterfield 2014). First, this whole discussion assumes that classical GR holds; the question regards discriminating among models of a given theory, rather than a choice among competing theories. Second, these results establish that all observations available to us that are compatible with a given spacetime, with some appealing global property, are equally compatible with its indistinguishable counterparts. But as is familiar from more prosaic examples of the problem of induction, evidence of past events is compatible, in a similar sense, with many possible futures. Standard accounts of inductive inference aim to justify some expectations about the future as more reasonable, e.g., those based on extending past uniformities. The challenge in this case is to articulate an account of inductive inferences that justifies accepting one spacetime over its indistinguishable counterparts.