The Structure of Gunk: Adventures in the Ontology of Space

In Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4. Oxford University Press. pp. 248 (2008)
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Could space consist entirely of extended regions, without any regions shaped like points, lines, or surfaces? Peter Forrest and Frank Arntzenius have independently raised a paradox of size for space like this, drawing on a construction of Cantor’s. I present a new version of this argument and explore possible lines of response.
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