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This paper constructs a model of metaphysical indeterminacy that can accommodate a kind of 'deep' worldly indeterminacy that arguably arises in quantum mechanics via the Kochen-Specker theorem, and that is incompatible with prominent theories of metaphysical indeterminacy such as that in Barnes and Williams (Oxf Stud Metaphys 6:103-148, 2011). We construct a variant of Barnes and Williams's theory that avoids this problem. Our version builds on situation semantics and uses incomplete, local situations rather than possible worlds to build a model. We evaluate the resulting theory and contrast it with similar alternatives, concluding that our model successfully captures deep indeterminacy.

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This paper considers two aspects of Lewis's metaphysics to which spatiotemporal relations appear central, with the aim of showing them to be less so. First, Lewis reluctantly characterises what it is for two things to be part of the same possible world in terms of an analogically spatiotemporal category of relations, rather than a wider natural external category. But Lewis's reason for restricting himself to the narrower category is unpersuasive. Second, Humean supervenience is formulated with spatiotemporal relations at its core. But that seems negotiable. A reason for caring about this is that quantum mechanics is supposed to threaten Lewis's metaphysics by introducing natural external relations that are not (even analogically) spatiotemporal, hence the interest in how central spatiotemporal relations really are.