We here present explicit relational theories of a class of geometrical systems (namely, inner product spaces) which includes Euclidean space and Minkowski spacetime. Using an embedding approach suggested by the theory of measurement, we prove formally that our theories express the entire empirical content of the corresponding geometric theory in terms of empirical relations among a finite set of elements (idealized point-particles or events) thought of as embedded in the space. This result is of interest within the general phenomenalist tradition (...) as well as the theory of space and time, since it seems to be the first example of an explicit phenomenalist reconstruction of a realist theory which is provably equivalent to it in observational consequences. The interesting paper "On the Space-Time Ontology of Physical Theories" by Ken Manders, Philosophy of Science, vol. 49, number 4, December 1982, p. 575-590, has significant affinities to this one. We both, in a sense, try to formally vindicate Leibniz's notion of a relational theory of space, by constructing theories of spatial relations among physical objects which are provably equivalent to the standard absolutist theories. The essential difference between our approaches is that Manders retains Leibniz's explicitly modal framework, whereas I do not. Manders constructs a spacetime theory which explicitly characterizes the totality of possible configurations of physical objects, using a modal language in which the notion of a possible configuration occurs as a primitive. There is no doubt that this is a more accurate realization of Leibniz's own conception of space than the embedding-based approach developed here. However, it also remains open to objections (such as those cited here from Sklar) on account of the special appeal to modal notions. Our approach here, by contrast, aims to avoid the special appeal to modal notions by giving directly a set of laws which are satisfied by a configuration individually, if and only if it is one of the allowable ones. One thus avoids the need for reference to possible but not actual configurations or objects, in the statement of the spacetime laws. We may then take this alternative set of laws as the actual geometric theory, and do away with the hypothetical entity called 'space'. Yet at the same time there is no invocation of modality, except in the ordinary sense in which every physical theory constrains what is possible. So that a relationalist is not forced to utilize a modal language (though Leibniz certainly does.). (shrink)

This is a study, in two volumes, of one of the longest-standing philosophical problems: the problem of universals. In volume I David Armstrong surveys and criticizes the main approaches and solutions to the problems that have been canvassed, rejecting the various forms of nominalism and 'Platonic' realism. In volume II he develops an important theory of his own, an objective theory of universals based not on linguistic conventions, but on the actual and potential findings of natural science. He thus reconciles (...) a realism about qualities and relations with an empiricist epistemology. The theory allows, too, for a convincing explanation of natural laws as relations between these universals. (shrink)

How does an object persist through change? How can a book, for example, open in the morning and shut in the afternoon, persist through a change that involves the incompatible properties of being open and being shut? The goal of this reader is to inform and reframe the philosophical debate around persistence; it presents influential accounts of the problem that range from classic papers by W. V. O. Quine, David Lewis, and Judith Jarvis Thomson to recent work by contemporary philosophers. (...) The authors take on the question of persistence by examining three broad approaches: perdurantism, which holds that change over time is analogous to change over space; exdurantism, according to which identity over time is analogous to identity across possible worlds; and endurantism, which holds that ordinary objects persist by enduring. Each of these approaches appears to be coherent, but each also has its own metaphysical problems. Persistence includes papers that argue for perdurantism, exdurantism, or endurantism, as well as papers that explore some metaphysical difficulties challenging each account. In this way the collection allows readers to balance the trade-offs of each approach in terms of intuitiveness, theoretical attractiveness, and elegance.Contributors:Yuri Balashov, William Carter, Graeme Forbes, Sally Haslanger, Katherine Hawley, H. S. Hestevold, Mark Hinchliffe, Mark Johnston, Roxanne Marie Kurtz, David K. Lewis, Ned Markosian, D. H. Mellor, W. V. O. Quine, Theodore Sider, Richard Taylor, Judith Jarvis Thomson, Peter van Inwagen, Dean Zimmerman. (shrink)