The bundle theory is a theory about the internal constitution of individuals. It asserts that individuals are entirely composed of universals. Typically, bundle theorists augment their theory with a constitutional approach to individuation entailing the thesis 'identity of constituents is a sufficient ground for numerical identity' (CIT). But then the bundle theory runs afoul of Black's duplication casea world containing two indiscernible spheres. Here I propose and defend a new version of the bundle theory that denies 'CIT', and which instead conjoins it with a structural diversity thesis, according to which being separated by distance is a sufficient ground for numerical diversity. This version accommodates Black's world as well as the three-spheres world-a world containing three indiscernible spheres, arranged as the vertices of an equilateral triangle. In this paper, I also criticize Rodriguez-Pereyra's alternative attempt to defend the bundle theory against Black's case and the case of the three-spheres world.
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