Simples and the possibility of discrete space

Australasian Journal of Philosophy 84 (1):117 – 128 (2006)
Abstract
What are the necessary and jointly sufficient conditions for an object's being a simple (an object without proper parts)? According to one prominent view, The Pointy View of Simples, an object is a simple if and only if the region occupied by that object contains exactly one point in space. According to another prominent view, MaxCon, an object is a simple if and only if it is maximally continuous. In this paper, I argue that both of these views are inconsistent with the possibility of discrete space. I then go on to formulate analogues to these two views that are consistent with this possibility, and argue that if we are willing to grant the possibility of discrete space, we should endorse the analogue to The Pointy View of Simples over the analogue to MaxCon.
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DOI 10.1080/00048400600571786
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References found in this work BETA
Parts of Classes.David Lewis - 1991 - Blackwell.
Simples.Ned Markosian - 1998 - Australasian Journal of Philosophy 76 (2):213 – 228.
Simples, Stuff, and Simple People.Ned Markosian - 2004 - The Monist 87 (3):405-428.
What Are Physical Objects?Ned Markosian - 2000 - Philosophy and Phenomenological Research 61 (2):375-395.

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Simples and Gunk.Hud Hudson - 2007 - Philosophy Compass 2 (2):291–302.

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