This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.

Thinking about space is thinking about spatial things. The table is on the carpet; hence the carpet is under the table. The vase is in the box; hence the box is not in the vase. But what does it mean for an object to be somewhere? How are objects tied to the space they occupy? This book is concerned with these and other fundamental issues in the philosophy of spatial representation. Our starting point is an analysis of the interplay between (...) mereology (the study of part/whole relations), topology (the study of spatial continuity and compactness), and the theory of spatial location proper. This leads to a unified framework for spatial representation understood quite broadly as a theory of the representation of spatial entities. The framework is then tested against some classical metaphysical questions such as: Are parts essential to their wholes? Is spatial colocation a sufficient criterion of identity? What (if anything) distinguishes material objects from events and other spatial entities? The concluding chapters deal with applications to topics as diverse as the logical analysis of movement and the semantics of maps. (shrink)

There are conflicting intuitions concerning the status of a boundary separating two adjacent entities (or two parts of the same entity). The boundary cannot belong to both things, for adjacency excludes overlap; and it cannot belong to neither, for nothing lies between two adjacent things. Yet how can the dilemma be avoided without assigning the boundary to one thing or the other at random? Some philosophers regard this as a reductio of the very notion of a boundary, which should accordingly (...) be treated a mere façon de parler. In this paper I resist this temptation and examine some ways of taking the puzzle at face value within a realist perspective—treating boundaries as ontologically on a par with (albeit parasitic upon) extended parts. (shrink)

This article presents an edited excerpt from a hitherto unknown fragmentary treatise by Rush Rhees. In the treatise, Rhees gives his account of the problem of continuity that he had started elaborating before he became acquainted with Wittgenstein. The excerpt, which contains Rhees' original distinction between outer and inner surfaces of bodies, builds on Brentano's theory of the continuum and his doctrine of plerosis. This treatment of continuity sheds light on Rhees' early philosophical development and confirms that even though he (...) and Wittgenstein discussed the problem of continuity, Rhees' own approach remained distinct from that of Wittgenstein. (shrink)

This article presents an edited excerpt from a hitherto unknown fragmentary treatise by Rush Rhees. In the treatise, Rhees gives his account of the problem of continuity that he had started elaborating before he became acquainted with Wittgenstein. The excerpt, which contains Rhees' original distinction between outer and inner surfaces of bodies, builds on Brentano's theory of the continuum and his doctrine of plerosis. This treatment of continuity sheds light on Rhees' early philosophical development and confirms that even though he (...) and Wittgenstein discussed the problem of continuity, Rhees' own approach remained distinct from that of Wittgenstein. (shrink)

Franz Brentano is a key figure in the development of Twentieth Century thought. It was his work that set Husserl on to the road of phenomenology and intentionality, that inspired Meinong's theory of the object which influenced Bertrand Russell, and the entire Polish school of philosophy. ^Descriptive Psychology presents a series of lectures given by Brentano in 1887; they were the culmination of his work, and the clearest statement of his mature thought. It was this later period which proved to (...) be so important in the work of his student, Husserl. This is the first English translation of his work. Benito Muller has added a concise introduction which places Brentano within the history of philosophy and psychology, and locates his influence in contemporary thought. (shrink)

The purpose of the book is to clarify the notion of existential dependence and cognate notions, such as supervenience and the notion of an internal relation. I defend the view that such notions are best understood in terms of the concept of metaphysical grounding, i.e. the concept of one fact obtaining in virtue of other facts, where ‘in virtue of’ has a distinctively metaphysical meaning.

This book guides the readers through Brentano's life and works, investigating into the inherent complexity of both his view of mental life and the related methodology.

Franz Brentano (1838-1917) is a key figure in the development of Twentieth Century thought. It was his work that set Husserl on to the road of phenomenology and intentionality, that inspired Meinong's theory of the object which influenced Bertrand Russell, and the entire Polish school of philosophy. ^Descriptive Psychology presents a series of lectures given by Brentano in 1887; they were the culmination of his work, and the clearest statement of his mature thought. It was this later period which proved (...) to be so important in the work of his student, Husserl. This is the first English translation of his work. Benito Muller has added a concise introduction which places Brentano within the history of philosophy and psychology, and locates his influence in contemporary thought. (shrink)

Of Chisholm’s many signal contributions to analytic metaphysics, perhaps the most important is his treatment of boundaries, a category of entity that has been neglected, to say the least, in the history of ontology. We can gain some preliminary idea of the sorts of problems which the Chisholmian ontology of boundaries is designed to solve, if we consider the following Zeno-inspired thought-experiment.

I argue that it may well be the case that space and time do not consist of points, indeed that they have no smallest parts. I examine two different approaches to such pointless spaces : a topological approach and a measure theoretic approach. I argue in favor of the measure theoretic approach.

If we imagine a chess-board with alternate blue and red squares, then this is something in which the individual red and blue areas allow themselves to be distinguished from each other in juxtaposition, and something similar holds also if we imagine each of the squares divided into four smaller squares also alternating between these two colours. If, however, we were to continue with such divisions until we had exceeded the boundary of noticeability for the individual small squares which result, then (...) it would no longer be possible to apprehend the individual red and blue areas in their respective positions. But would we then see nothing at all? Not in the least; rather we would see the whole chessboard as violet, i.e. apprehend it as something that participates simultaneously in red and blue. (shrink)

Franz Brentano is not usually associated with mathematics. Generally, only Brentano’s discussion of the continuum and his critique of the mathematical accounts of it is treated in the literature. It is this detailed critique which suggests that Brentano had more than a superficial familiarity with mathematics. Indeed, considering the authors and works quoted in his lectures, Brentano appears well-informed and quite interested in the mathematical research of his time. I specifically address his lectures here as there is much less to (...) be found about mathematics in his published works. Besides Brentano’s own work, it is quite remarkable to see that practically all of his better-known students sooner or later produced a work on the philosophy of mathematics. This also encourages the supposition not just of a common interest in the matter, but of a common theoretical core. All this prompts the question: Can we speak of a Brentanist philosophy of mathematics? (shrink)