A critical survey of the fundamental philosophical issues in the logic and formal ontology of space, with special emphasis on the interplay between mereology (the theory of parthood relations), topology (broadly understood as a theory of qualitative spatial relations such as continuity and contiguity), and the theory of spatial location proper.

Pojęcie niszy (otoczenia, kontekstu, siedliska, środowiska) nie cieszy się specjalnym zainteresowaniem ontologów, mimo że ma szerokie zastosowanie w rozmaitych dyscyplinach, od biologii ewolucyjnej po ekonomię. Niniejszy artykuł zawiera pierwszą teorię formalną tego pojęcia — teorię relacji pomiędzy przedmiotami a ich niszami. Teoria ta opiera się na istniejącym dorobku mereologii, topologii i teorii lokalizacji przestrzennej, które są narzędziami ontologii formalnej. Jest ona tutaj ilustrowana głównie za pomocą prostych przykładów z biologii, ale pojęcie niszy należy rozumieć — podobnie jak pojęcia części, granicy (...) i położenia — jako pojęcie strukturalne, znajdujące zastosowanie w obszernym zakresie różnych dziedzin. (shrink)

The paper is a contribution to formal ontology. It seeks to use topological means in order to derive ontological laws pertaining to the boundaries and interiors of wholes, to relations of contact and connectedness, to the concepts of surface, point, neighbourhood, and so on. The basis of the theory is mereology, the formal theory of part and whole, a theory which is shown to have a number of advantages, for ontological purposes, over standard treatments of topology in set-theoretic terms. One (...) central goal of the paper is to provide a rigorous formulation of Brentano's thesis to the effect that a boundary can exist as a matter of necessity only as part of a whole of higher dimension which it is the boundary of. It concludes with a brief survey of current applications of mereotopology in areas such as natural-language analysis, geographic information systems, machine vision, naive physics, and database and knowledge engineering. (shrink)

According to Brentano's theory of boundaries, no boundary can exist without being connected with a continuum. But there is no specifiable part of the continuum, and no point, which is such that we may say that it is the existence of that part or of that point which conditions the boundary. - An adequate theory of the continuum must now recognize that boundaries be boundaries only in certain directions and not in others. This leads to consequences in other areas, too.

In this paper we propose a formal theory of partitions (ways of dividing up or sorting or mapping reality) and we show how the theory can be applied in the geospatial domain. We characterize partitions at two levels: as systems of cells (theory A), and in terms of their projective relation to reality (theory B). We lay down conditions of well-formedness for partitions and we define what it means for partitions to project truly onto reality. We continue by classifying well-formed (...) partitions along three axes: (a) degree of correspondence between partition cells and objects in reality; (b) degree to which a partition represents the mereological structure of the domain it is projected onto; and (c) degree of completeness and exhaustiveness with which a partition represents reality. This classification is used to characterize three types of partitions that play an important role in spatial information science: cadastral partitions, categorical coverages, and the partitions involved in folk categorizations of the geospatial domain. (shrink)

Some would conceive philosophy as being divided into Analytic and Continental. This, as John Searle points out, is rather like conceiving America as being divided into Business and Kansas. Searle’s wise saying has not, as yet, received the theoretical attention it deserves. In both cases we have a certain domain, which is conceived as being divided into two parts, one defined in spatial terms, the other defined in terms of objects, practices or features widely spread through some spatial area. We (...) present a draft theory of such divides, and of the agglomerations (populations, movements, systems of beliefs) which are the vehicles for their division. It offers a general, ontological theory of Us and Them, of Analytics and Continentals, of the Hegemonic Colonizing Self and the Indigenous Colonized Other. -/- Presented at a conference on Bridging the Analytic-Continental Divide, Tel Aviv University, January 17-20, 1999. (shrink)

Current approaches to formal representation in biomedicine are characterized by their focus on either the static or the dynamic aspects of biological reality. We here outline a theory that combines both perspectives and at the same time tackles the by no means trivial issue of their coherent integration. Our position is that a good ontology must be capable of accounting for reality both synchronically (as it exists at a time) and diachronically (as it unfolds through time), but that these are (...) two quite different tasks, whose simultaneous realization is by no means trivial. The paper is structured as follows. We begin by laying out the methodological and philosophical background of our approach. We then summarize the structure and elements of the Basic Formal Ontology on which it rests, in particular the SNAP ontology of objects and the SPAN ontology of processes. Finally, we apply the general framework to the specific domain of biomedicine. (shrink)

Are there any bona fide boundaries, i.e., boundaries that carve at the joints? Or is any boundary—hence any object—the result of a fiat articulation reflecting our cognitive biases and our social practices and conventions? Does the choice between these two options amount to a choice between realism and wholesome relativism?