Properties that Four-Dimensional Objects Cannot Have

Metaphysica 10 (2):135-148 (2009)
The paper argues that four-dimensionalism is incompatible with the existence of additively cumulative properties, including mass, volume, and electrical charge. These properties add up over disjoint objects: for example, the mass of a whole composed of two disjoint objects is a sum of the individual masses of the objects. The difficulty with such properties for four-dimensionalism stems from the way this theory makes persistence depend on the existence of disjoint objects at disjoint times. I consider various possible responses to this difficulty and conclude that they all fail.
Keywords Four-dimensionalism  Persistence  Perdurance  Endurance  Temporal parts  Mass  Properties
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DOI 10.1007/s12133-009-0045-3
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Theodore Sider (1996). All the World's a Stage. Australasian Journal of Philosophy 74 (3):433 – 453.

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