, Volume 10, Issue 2, pp 135-148
Date: 08 May 2009

Properties that Four-Dimensional Objects Cannot Have

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Abstract

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.