Here is a somewhat precise statement of this universalism in a version that works for three-dimensionalists. Let f be any function from world-time pairs, such that f(w,t) is a set of non-overlapping objects. The relevant universalism says that for any such f and any world w and time t such f(w,t) is non-empty, there is an object existing at w at t composed precisely of the members of f(w,t), and with the property that this very object exists at every w* and t* such that f(w*,t*) is non-empty and is there and then composed precisely of the members of f(w*,t*). More works needs to be done if one wants to allow for multilocation.
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