In the course of the discussion, Professor Quine pinpoints the difficulties involved in translation, brings to light the anomalies and conflicts implicit in our ...

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)

This is the first systematic survey of modern nominalistic reconstructions of mathematics, and for this reason alone it should be read by everyone interested in the philosophy of mathematics and, more generally, in questions concerning abstract entities. In the bulk of the book, the authors sketch a common formal framework for nominalistic reconstructions, outline three major strategies such reconstructions can follow, and locate proposals in the literature with respect to these strategies. The discussion is presented with admirable precision and clarity, (...) and should be accessible even to readers with only minimal background in logic and mathematics. There will be many who will turn directly to these pages and use them as a brief manual on the state of the art of nominalism in mathematics. But the most intriguing parts of this elegant book—at least in my view—are the introduction and the conclusion, where the authors examine the significance of reconstructive nominalism. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

SummaryI discuss a simple case in which theories with different ontologies appear equally adequate in every way. . I contend that the appearance of equal adequacy is correct, and that what this shows is that the notion of “existence” has a variety of different but legitimate uses. I also argue that this provides a counterexample to the claim advanced by Davidson, that conceptual relativity is incoherent.RésuméJe discute un cas simple où des théories comportant des ontologies différentes apparaissent également adéquates à (...) tout point de vue. . Je prétends que ľapparence ?on;égale adéquation est correcte et ceci montre que la notion ?on;existence a plusieurs sens différents, mais également légitimes. Je montre aussi que cela constitue un contre‐exemple à la thèse avancée par Davidson, selon laquelle la relativité con‐ceptuelle est incoherénte.ZusammenfassungIch diskutiere einen einfachen Fall, wo Theorien mit verschiedenen Ontologien in jeder Beziehung als gleich adäquat erscheinen. . Ich behaupte, dass die Ansicht, wonach gleiche Adäquatheit bestehen soil, korrekt ist und dass entsprechend der Begriff der Existenz mehrere verschiedene Verwendungs‐weisen hat, die alle legitim sind. Ich argumentiere, dass damit ein Gegenbeispiel zu Davidsons Auffassung vorliegt, wonach die These der begrifflichen Relativität inkohärent sein soil. (shrink)

SummaryI discuss a simple case in which theories with different ontologies appear equally adequate in every way.. I contend that the appearance of equal adequacy is correct, and that what this shows is that the notion of “existence” has a variety of different but legitimate uses. I also argue that this provides a counterexample to the claim advanced by Davidson, that conceptual relativity is incoherent.RésuméJe discute un cas simple où des théories comportant des ontologies différentes apparaissent également adéquates à tout (...) point de vue.. Je prétends que ľapparence?on;égale adéquation est correcte et ceci montre que la notion?on;existence a plusieurs sens différents, mais également légitimes. Je montre aussi que cela constitue un contre‐exemple à la thèse avancée par Davidson, selon laquelle la relativité con‐ceptuelle est incoherénte.ZusammenfassungIch diskutiere einen einfachen Fall, wo Theorien mit verschiedenen Ontologien in jeder Beziehung als gleich adäquat erscheinen.. Ich behaupte, dass die Ansicht, wonach gleiche Adäquatheit bestehen soil, korrekt ist und dass entsprechend der Begriff der Existenz mehrere verschiedene Verwendungs‐weisen hat, die alle legitim sind. Ich argumentiere, dass damit ein Gegenbeispiel zu Davidsons Auffassung vorliegt, wonach die These der begrifflichen Relativität inkohärent sein soil. (shrink)

Alex Oliver; XI*—A Few More Remarks on Logical Form, Proceedings of the Aristotelian Society, Volume 99, Issue 1, 1 June 1999, Pages 247–272, https://doi.org/10.

Yah boo sucks to the grammer wot we lernt in skool! Grammar (and the bad old traditional logic) says that quantifier phrases such as 'nobody', 'everyone', 'all women', 'some men' and 'a man' are in the same category as names such as 'Milly', 'Molly' and 'Mandy'. So, prior to their first corrective lessons, students are awfully muddled, the first and fundamental problem being the Woozle hunt for somebody called 'nobody'. Hoorah for modern logic and logic teachers! The story used to (...) justify our current logics is entirely fictional. The claims about names and quantifier phrases in English are wildly false. Two of the heroes of modern logic, Russell and Hilbert, make the very mistakes which are falsely blamed on traditional logic. The villain, Meinong, turns out to have been working a different patch. Ideas ascribed to traditional grammar are modern inventions. Neither logicians nor grammarians can be trusted to tell the history of either grammar or logic. (shrink)

In questa comunicazione, non intendo contribuire all’analisi di questa o quella classe di espressioni linguistiche. Vorrei invece dare un contributo alla nostra consapevolezza (chiamiamola pure “filosofica”) della funzione che il concetto di forma logica svolge nelle nostre analisi. Più in particolare, vorrei mettere in guardia contro certe possibili conseguenze di quello che a me pare un uso “metafisico” dell’idea di forma logica. Vorrei dimostrare che una certa eredità filosofica, per lo pi...

I am happy to report that serious metaphysics is alive and well in the work of Jonathan Lowe. His recent book The Possibility of Metaphysics: Substance, Identity, and Time is a major contribution to analytical metaphysics; it confirms Lowe’s standing as a leading figure in the field.

In this book Saul Kripke brings his powerful philosophical intelligence to bear on Wittgenstein's analysis of the notion of following a rule.

Discussion of Wittgenstein's philosophy has suffered from a scarcity of commentators who understand his work well enough to explain it in their own words. Apart from certain notable exceptions, all too many advocates and critics alike have tended merely to repeat slogans, with approval or ridicule as the case may be. The result has been an unusual degree of polarization and acrimony—some philosophers abandoning normal critical standards, falling under the spell and becoming fanatical supporters; and others taking an equally extreme (...) opposite view, deriding the absence of analytic technique, and refusing to see anything of value in Wittgenstein's work. (shrink)

Holes are a good example of the sort of entity that down-to-earth philosophers would be inclined to expel from their ontological inventory. In this work we argue instead in favor of their existence and explore the consequences of this liberality—odd as they might appear. We examine the ontology of holes, their geometry, their part-whole relations, their identity and their causal role, the ways we perceive them. We distinguish three basic kinds of holes: blind hollows, perforating tunnels, and internal cavities, treating (...) these uniformly as immaterial bodies. We develop a morphology of holes, focusing on the way a hole can be filled, and then look at the main properties of the resulting conceptual framework: holes are parasitic upon the surfaces of their hosts; holes can move, fuse into each other, split; they can be born, develop, and die. Finally, we examine how some morphological features of holes are represented in perception, including the conditions whereby we have the impression that we see, feel, or even hear a hole. The book has over 150 pictures and is completed by a formal appendix, a section with puzzles and exercises, and a extensive annotated bibliography. (shrink)

Jonathan Lowe argues that metaphysics should be restored to a central position in philosophy, as the most fundamental form of rational inquiry, whose findings underpin those of all other disciplines. He portrays metaphysics as charting the possibilities of existence, by idetifying the categories of being and the relations of ontological dependency between entities of different categories. He proceeds to set out a unified and original metaphysical system: he defends a substance ontology, according to which the existence of the world s (...) one world in time depends upon the existence of persisting things which retain their identity over time and through processes of qualitative change. And he contends that even necessary beings, such as the abstract objects of mathematics, depend ultimately for their existence upon there being a concrete world of enduring substances. Within his system of metaphysics Lowe seeks to answer many of the deepest and most challenging questions in philosophy. (shrink)

Jonathan Lowe argues that metaphysics should be restored to a central position in philosophy, as the most fundamental form of inquiry, whose findings underpin those of all other disciplines. He portrays metaphysics as charting the possibilities of existence, by identifying the categories of being and the relations between them. He sets out his own original metaphysical system, within which he seeks to answer many of the deepest questions in philosophy. 'a very rich book... deserves to be read carefully by anyone (...) interested in any of the many subjects he discusses.' Katherine Hawley, British Journal of the Philosophy of Science. (shrink)

A brief introduction to the main philosophical problems and theories about the nature of holes and such-like nothingnesses.

Discourse carries thin commitment to objects of a certain sort iff it says or implies that there are such objects. It carries a thick commitment to such objects iff an account of what determines truth-values for its sentences say or implies that there are such objects. This paper presents two model-theoretic semantics for mathematical discourse, one reflecting thick commitment to mathematical objects, the other reflecting only a thin commitment to them. According to the latter view, for example, the semantic role (...) of number-words is not designation but rather the encoding of cardinality-quantifiers. I also present some reasons for preferring this view. (shrink)