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”. (shrink)

Latin dē, both in its prepositional and preverbal form, is characterized by multiple, varied, and seemingly unrelated senses. Unlike proposition-based lexicographical and historical linguistic accounts, an image-schematic definition systematically explains the range of its literal, physical senses and of its figurative, abstract senses, as well as the relations between them. Defining dē in terms of an image-schematic “scenario” portraying two entities connected by a directional trajectory in fact accommodates the co-existence of even antonymous senses within this word's semantic structure and (...) apparently radical divergences from its presumed essential literal meaning in Latin literature, due to the susceptibility of image schemas to “embodied” transformations such as perspective shifts and profiling effects. Dē's more abstract senses may also be linked in this way to widespread metaphorical patterns in Latin, showing that these senses are not haphazard but highly motivated semantically—with significant implications for lexicography, and literary and cultural history. (shrink)

Prepositions name spatial relationships. But they are also used to convey abstract, non-spatial relationships —raising the question of how the abstract uses relate to the concrete spatial uses. Despite considerable success in delineating these relationships, no general account exists for the two most frequently extended prepositions: in and on. We test the proposal that what is preserved in abstract uses of these prepositions is the relative degree of control between the located object and the reference object. Across four experiments, we (...) find a continuum of greater figure control for on and greater ground control for in. These findings bear on accounts of semantic structure and language change, as well as on second language instruction. (shrink)

What aspects of spatial relations influence speakers’ choice of locative? This article presents a study of static spatial descriptions from 24 languages. The study reveals two kinds of spatial terms evident cross‐linguistically: specific spatial terms and general spatial terms (GSTs). Whereas specific spatial terms—including English prepositions—occur in a limited range of situations, with concomitant specificity in their meaning, GSTs occur in all spatial descriptions (in languages that employ them). Because of the extreme differences in range of application, the two are (...) considered separately. A multidimensional scaling analysis is used with specific spatial terms to extract statistically valid similarities across the languages sampled. For GSTs, which have not been previously analyzed in the literature, a semantic analysis is proposed and experimentally validated. The results suggest the importance of geometry, function, and qualitative physics to the meanings of both kinds of spatial terms, although the details differ. (shrink)

This is a position article summarizing our approach to the philosophy of space and spatial representation. Our concern is mostly methodological: above all, we argue that a number of philosophical puzzles that arise in this field—puzzles concerning the nature of spatial entities, their material and mereological constitution, their relationship with the space that they occupy—stem from a confusion between semantic issues and true metaphysical concerns.

Ordinary reasoning about space—we argue—is first and foremost reasoning about things or events located in space. Accordingly, any theory concerned with the construction of a general model of our spatial competence must be grounded on a general account of the sort of entities that may enter into the scope of the theory. Moreover, on the methodological side the emphasis on spatial entities (as opposed to purely geometrical items such as points or regions) calls for a reexamination of the conceptual categories (...) required for this task. Building on material presented in an earlier paper, in this work we offer some examples of what this amounts to, of the difficulties involved, and of the main directions along which spatial theories should be developed so as to combine formal sophistication with some affinity with common sense. (shrink)

The history of evolution is a history of development from less to more complex organisms. This growth in complexity of organisms goes hand in hand with a concurrent growth in complexity of environments and of organism-environment relations. It is a concern with this latter aspect of evolutionary development that motivates the present paper. We begin by outlining a theory of organism-environment relations. We then show that the theory can be applied to a range of different sorts of cases, both biological (...) and non-biological, in which objects are lodged or housed within specific environments, or niches. Biological science is interested in types—for example in genotypes, phenotypes, and environment types—in regularities that can serve as the basis for the formulation of laws or general principles. Types, however, can exist only through their corresponding tokens. Our theory of token environments is meant to plug this gap and to provide a first step towards a general theory of causally relevant spatial volumes. (shrink)