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Extended simples have been thoroughly discussed in metaphysics. Recently, unextended complexes have been investigated as well. Despite this attention, the characterizations of both extended simples and unextended complexes hardly satisfactory inasmuch as they rely on a locational notion of extension that is far too simplistic. According to such a locational notion, being extended boils down to having a mereologically complex exact location. In this paper, I make a detailed plea to introduce a different notion of extension that is phrased in terms of measure theory. My proposal, I argue, has significant philosophical payoffs, that extend far beyond the discussion about extended simples and unextended complexes. The focus of the paper is on such notions, yet, I contend, the implications of the arguments contained are significantly broader, especially in the light of the theoretical role that the notion of extension plays in crucial debates in metaphysics
