- Call theses of multi-location philosophical doctrines that hold that one and the same entity can be wholly present and located at distinct space-time regions.
- Several substantial metaphysical theses are theses of multi-location.
- One is endurantism, the doctrine that in persisting, an object O is wholly temporally located at each time of its persistence.
- The second thesis of multi-location is the immanence conception of universals1 according to which they do not transcend space-time. On this view, universals2 are spatio-temporally located where they are instantiated (either by space-time regions or by particulars located at space-time regions).
- In this paper we argue first, assuming 4-Dimensionalism, or3 eternalism, about time, that multi-location doctrines, given reasonable assumptions about mereology and location, entail contradictions: that one and the same entity is both 3- and 4-dimensional - paradox 1 below.
- We then show that, given even leaner assumptions about location, we get another version of the paradox - paradox 2.
- Finally, we show that a tensed version of paradox 2 arises if we assume 3-Dimensionalism or presentism about time. .
Footnote 3: This seems to imply that 4-D and eternalism are the same thing, when (I think) they are orthogonal concepts.
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