Traditionally, three conceptions of diachronic and diacosmic existence have been presented, that can be roughly characterized as the conjunction of a metaphysical and a semantical thesis.Endurantism: objects persist through time by being wholly present at each instant of their existence, and different descriptions of an object in time refer to the object itself.The corresponding modal conception holds that there is a relation of trans-world identity between objects.Perdurantism: objects persist through time by having temporal parts at each instant of their persistence, and different descriptions of an object in time refer to their temporal parts.The corresponding modal conception holds that different parts of the same object exist in different worlds.Exdurantism: objects do not actually persist through time, since they are momentary, i.e. existing in one and only one instant, and different descriptions refer to counterparts of such objects.The corresponding modal conception holds that different counterparts of the same object exist in different worlds.