Reasoning about Space: The Hole Story

Logic and Logical Philosophy 4:3-39 (1996)
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This is a revised and extended version of the formal theory of holes outlined in the Appendix to the book "Holes and Other Superficialities". The first part summarizes the basic framework (ontology, mereology, topology, morphology). The second part emphasizes its relevance to spatial reasoning and to the semantics of spatial prepositions in natural language. In particular, I discuss the semantics of ‘in’ and provide an account of such fallacious arguments as “There is a hole in the sheet. The sheet is in the drawer. Ergo *there is a hole in the drawer”.

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Achille C. Varzi
Columbia University


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