First published in 1937. Routledge is an imprint of Taylor & Francis, an informa company.

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...) audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

First published in 1903, _Principles of Mathematics_ was Bertrand Russell’s first major work in print. It was this title which saw him begin his ascent towards eminence. In this groundbreaking and important work, Bertrand Russell argues that mathematics and logic are, in fact, identical and what is commonly called mathematics is simply later deductions from logical premises. Highly influential and engaging, this important work led to Russell’s dominance of analytical logic on western philosophy in the twentieth century.

That photography is a supremely realistic medium may be the commonsense view, but—as Edward Steichen reminds us—it is by no means universal. Dissenters note how unlike reality a photograph is and how unlikely we are to confuse the one with the other. They point to “distortions” engendered by the photographic process and to the control which the photographer exercises over the finished product, the opportunities he enjoys for interpretation and falsification. Many emphasize the expressive nature of the medium, observing that (...) photographs are inevitably colored by the photographer’s personal interests, attitudes, and prejudices.1 Whether any of these various considerations really does collide with photography’s claim of extraordinary realism depends, of course, on how that claim is to be understood.Those who find photographs especially realistic sometimes think of photography as a further advance in a direction which many picture makers have taken during the last several centuries, as a continuation or culmination of the post-Renaissance quest for realism.2 There is some truth in this. Such earlier advances toward realism include the development of perspective and modeling techniques, the portrayal of ordinary and incidental details, attention to the effects of light, and so on. From its very beginning, photography mastered perspective. Subtleties of shading, gradations of brightness nearly impossible to achieve with the brush, became commonplace. Photographs include as a matter of course the most mundane details of the scenes they portray—stray chickens, facial warts, clutters of dirty dishes. Photographic images easily can seem to be what painters striving for realism have always been after. 2. See André Bazin, “The Ontology of the Photographic Image,” What is Cinema?, trans. Hugh Gray, vol. 1, p. 12; all further references to this work, abbreviated “OPI,” will be included in the text. See also Rudolf Arnheim, “Melancholy Unshaped,” Toward a Psychology of Art: Collected Essays, p. 186. Kendall L. Walton is professor of Philosophy at the University of Michigan. He is currently completing a book on representation in the arts. (shrink)

1. Many philosophers think that “What is identity across time?” is an important and meaningful question. I have a great deal of trouble seeing what this question might be. But, very often, if one cannot understand a philosophical question, one’s best course is to look at some alleged answers to it; sometimes these answers enable one to see what question it is that they are offered as answers to. The following passage by Michael Tooley is supposed to provide an answer (...) to the question we are trying to get at. (shrink)

The topic of this book is material objects. Like most interesting concepts, the concept of a material object is one without precise boundaries.

Occurrents are entities that exist in time and, with few or no exceptions, extend over time as well, that is, they have parts corresponding to the different times at which they exist. This makes it very easy to say what makes it true that they exist at the times at which they do. Singular existential propositions, being contingent, positive and arguably atomic, stand in need of truth-makers, entities in virtue of whose existence they are true. The obvious candidate for what (...) makes it true that Tony Blair exists is the Right Honourable Member for Sedgefield himself: by virtue of his existing, it is true that he exists. Nothing could be more straightforward. However, things that exist in time, with few exceptions, exist at some times and not at others. So a proposition to the effect that a certain object exists at a certain time likewise stands in need of a truth-maker, one matching the requirements of the existential proposition in question in its temporal specificity. Take an occurrent such as a boxing match and suppose it is going on twenty minutes after starting: by virtue of what is this true? The obvious answer here is that it is by virtue of the existence of that temporal part or phase which extends just over the time in question. Other temporal parts of the same occurrent which do not extend over this time do not act as truth-maker for the temporally specific existential proposition, this one does. There is no problem because occurrents do have temporal parts which can do this job. (shrink)

[Peter Simons] Commonsense ontology contains both continuants and occurrents, but are continuants necessary? I argue that they are neither occurrents nor easily replaceable by them. The worst problem for continuants is the question in virtue of what a given continuant exists at a given time. For such truthmakers we must have recourse to occurrents, those vital to the continuant at that time. Continuants are, like abstract objects, invariants under equivalences over occurrents. But they are not abstract, and their being invariants (...) enables us to infer both their lack of temporal parts and that non-invariant predications about them must be relativized to times. \\\ [Joseph Melia] In this paper I try to eliminate occurrents from our ontology. I argue against Simons' position that occurrents are needed to supply truthmakers for existential claims about continuants. Nevertheless, those who would eliminate occurrents still need some account of our willingness to assert sentences that logically entail their existence. Though it turns out to be impossible to paraphrase away our reference to occurrents, I show that the truthmakers for such sentences are facts that involve only continuants. This is enough to allow us to regard our ordinary talk about occurrents as fictional. Finally, I argue that a proper conception of the underlying temporal facts about continuants can both avoid the problematic tensed theory of time and the problem of temporary intrinsics. (shrink)

Commonsense ontology contains both continuants and occurrents, but are continuants necessary? I argue that they are neither occurrents nor easily replaceable by them. The worst problem for continuants is the question in virtue of what a given continuant exists at a given time. For such truthmakers we must have recourse to occurrents, those vital to the continuant at that time. Continuants are, like abstract objects, invariants under equivalences over occurrents. But they are not abstract, and their being invariants enables us (...) to infer both their lack of temporal parts and that non-invariant predications about them must be relativized to times. \\\ [Joseph Melia] In this paper I try to eliminate occurrents from our ontology. I argue against Simons' position that occurrents are needed to supply truthmakers for existential claims about continuants. Nevertheless, those who would eliminate occurrents still need some account of our willingness to assert sentences that logically entail their existence. Though it turns out to be impossible to paraphrase away our reference to occurrents, I show that the truthmakers for such sentences are facts that involve only continuants. This is enough to allow us to regard our ordinary talk about occurrents as fictional. Finally, I argue that a proper conception of the underlying temporal facts about continuants can both avoid the problematic tensed theory of time and the problem of temporary intrinsics. (shrink)

I am now typing on a computer I bought two years ago. The computer I bought is identical to the computer on which I type. My computer persists over time. Let us divide our subject matter in two. There is first the question of criteria of identity, the conditions governing when an object of a certain kind, a computer for instance, persists until some later time. There are secondly very general questions about the nature of persistence itself. Here I include (...) the question of temporal parts, as well as certain familiar paradoxes (e.g., the statue and the lump). Following John Perry (1975, Introduction), let us characterize a criterion of identity over time for F s as a way of filling in φ in the following schema: Stages S1 and S2 belong to some continuing F iff φ Defenders of temporal parts (see below) regard S1 and S2 as being temporal parts of the continuing F ; others regard S1 and S2 as different stages in the life history of the continuing F . Thus each camp can make use of Perry’s formula. It is traditional to divide such criteria into those governing persons and those governing anything else. It is further traditional to say that the criterion of identity over time for non-persons involves spatiotemporal continuity. An excellent discussion is Eli Hirsch’s The Concept of Identity1, which utilizes the notion of continuity under a sortal. Kind-terms, or sortals, are terms that specify what kind of or sort of thing an object is. Examples include ‘tree’, ‘car’, and ‘mountain’. Where F is a sortal, Hirsch’s analysis is roughly that stages belong to the same F iff they are connected by a spatiotemporally and qualitatively continuous sequence of F -stages. Unmodified, this analysis prohibits temporally discontinuous entities, such as a watch that is taken apart and then reassembled. Hirsch discusses the necessary modifications. Spatiotemporal continuity analyses face a problem when applied to the persistence of matter. The literature here has been dominated by discussion of examples provided by David Armstrong (1980) and Saul Kripke (unpublished.... (shrink)

The existence and importance of supervenience principles for identity across times and worlds have been noted, but insufficient attention has been paid to their precise nature. Such attention is repaid with philosophical dividends. The issues in the formulation of the supervenience principles are two. The first involves the relevant variety of supervenience: that variety is global, but there are in fact two versions of global supervenience that must be distinguished. The second involves the subject matter: the names “identity over time” (...) and “identity across worlds” are misnomers, for in neither case is identity at issue. The philosophical dividends then follow. Nathan Salmon’s argument that identity over time needs no “grounds” in matters of qualitative fact can be answered, as can an argument offered by many, that coincident objects would require objectionably ungrounded differences in identities across times and worlds. (shrink)

Persistence through time is like extension through space. A road has spatial parts in the subregions of the region of space it occupies; likewise, an object that exists in time has temporal parts in the various subregions of the total region of time it occupies. This view — known variously as four dimensionalism, the doctrine of temporal parts, and the theory that objects “perdure” — is opposed to “three dimensionalism”, the doctrine that things “endure”, or are “wholly present”.1 I will (...) attempt to resolve this dispute in favor of four dimensionalism by means of a novel argument based on considerations of vagueness. But before argument in this area can be productive, I believe we must become much clearer than is customary about exactly what the dispute is, for the usual ways of formulating the dispute are flawed, especially where three dimensionalism is concerned. (shrink)

Photographs, paintings, rigid sculptures: all these provide examples of static images. It is true that they change—photographs fade, paintings darken and sculptures crumble—but what change they undergo is irrelevant to their representational content. A static image is one that represents by virtue of properties which remain largely unchanged throughout its existence. Because of this defining feature, according to a long tradition in aesthetics, a static image can only represent an instantaneous moment, or to be more exact the state of affairs (...) obtaining at that moment'. It cannot represent movement and the passage of time. This traditional view mirrors a much older one in metaphysics: that change is to be conceived of as a series of instantaneous states and hence that an interval of time is composed of extensionless moments. The metaphysical view has been involved in more controversy than its aesthetic counterpart. Aristotle identified it as one of the premises of Zeno's arrow paradox and Augustine employed it in his proof of the unreality of time. (shrink)

Are we the people we were? If we are continuants, then the answer to this question is an affirmative one. But it is a moot point whether anything is a continuant. The debate over this issue—of whether there are such things as continuants—is often conducted in the context of theories concerning the apparent passage of time. Thus it has been argued that the tenseless theory of time, according to which time does not really pass, forces us to tear down part (...) of the basis for the intuitive distinction between ordinary, reidentifiable objects on the one hand, and processes on the other, and to regard such objects as mountains as persisting through time in exactly the way that thunderstorms do: by having distinct temporal parts at different times. I confess that I am a tenseless theorist of time, and take that theory to entail such a conclusion about the persistence of objects. But it is not just a certain stance over time’s passage that motivates sympathy towards temporal parts and suspicion of continuants. Thinking of objects as having temporal parts sits more comfortably than does the rival view with two natural assumptions concerning continuity: that beginning and ceasing to exist, at least for most objects, involves underlying changes which are continuous in nature; and that objects exhibit continuity through time, in the sense of not having gaps in their existence. Or so I shall argue in what follows. (shrink)

According to four dimensionalism, the material world is divided into momentary stages. In a four-dimensional world, which objects are the ordinary things, the things we normally name and quantify over? Aggregates of stages, according to most four-dimensionalists, but according to stage theorists (or exdurantists), ordinary objects are instead to be identified with the stages themselves. (A temporal counterpart theoretic account of de re temporal predication is then given.) This paper argues that a stage theorist is best positioned to accept David (...) Lewis's argument from temporary intrinsics for four-dimensionalism, since stage theorists are the only four-dimensionalists who attribute monadic temporary intrinsic properties to ordinary things. (shrink)

A solution to the problem of intrinsic change for enduring things should meet three conditions. It should not replace monadic intrinsic properties by relations. It should not replace the having simpliciter of properties by standing in some relation to them. It should not rely on an unexplained notion of having an intrinsic property at a time. Johnston's solution satisfies the first condition at the expense of the second. Haslanger's solution satisfies the first and second at the expense of the third.

Photographs, paintings, rigid sculptures: all these provide examples of static images. It is true that they change—photographs fade, paintings darken and sculptures crumble—but what change they undergo is irrelevant to their representational content. A static image is one that represents by virtue of properties which remain largely unchanged throughout its existence. Because of this defining feature, according to a long tradition in aesthetics, a static image can only represent an instantaneous moment, or to be more exact the state of affairs (...) obtaining at that moment'. It cannot represent movement and the passage of time. This traditional view mirrors a much older one in metaphysics: that change is to be conceived of as a series of instantaneous states and hence that an interval of time is composed of extensionless moments. The metaphysical view has been involved in more controversy than its aesthetic counterpart. Aristotle identified it as one of the premises of Zeno's arrow paradox and Augustine employed it in his proof of the unreality of time. (shrink)

Are we the people we were? If we are continuants, then the answer to this question is an affirmative one. But it is a moot point whether anything is a continuant. The debate over this issue—of whether there are such things as continuants—is often conducted in the context of theories concerning the apparent passage of time. Thus it has been argued that the tenseless theory of time, according to which time does not really pass, forces us to tear down part (...) of the basis for the intuitive distinction between ordinary, reidentifiable objects on the one hand, and processes on the other, and to regard such objects as mountains as persisting through time in exactly the way that thunderstorms do: by having distinct temporal parts at different times. I confess that I am a tenseless theorist of time, and take that theory to entail such a conclusion about the persistence of objects. But it is not just a certain stance over time’s passage that motivates sympathy towards temporal parts and suspicion of continuants. Thinking of objects as having temporal parts sits more comfortably than does the rival view with two natural assumptions concerning continuity: that beginning and ceasing to exist, at least for most objects, involves underlying changes which are continuous in nature; and that objects exhibit continuity through time, in the sense of not having gaps in their existence. Or so I shall argue in what follows. (shrink)

The best reason to believe in temporal parts is to avoid commitment to coincidence—roughly, two objects occupying exactly the same space at exactly the same time. Most anti-coincidence arguments for temporal parts are fission arguments. Gaining some notice, however, are vagueness arguments. One goal of this paper is to clarify the way a temporal-parts ontology avoids coincidence, and another is to clarify the vagueness argument, highlighting the fact that it too is an anti-coincidence argument. The temporal-parts alternative to coincidence has (...) been challenged on the grounds that it leads to a kind of coincidence of its own. When something that is a temporal part of more than one person thinks about its future self, it must be thinking about a multitude of people. Thus, there must be many people thinking many thoughts in that region occupied by the thinking part. The third goal of this paper is debunking this attack on temporal parts. (shrink)

The best reason to believe in temporal parts is to avoid commitment to coincidence—roughly, two objects occupying exactly the same space at exactly the same time. Most anti-coincidence arguments for temporal parts are fission arguments. Gaining some notice, however, are vagueness arguments. One goal of this paper is to clarify the way a temporal-parts ontology avoids coincidence, and another is to clarify the vagueness argument, highlighting the fact that it too is an anti-coincidence argument. The temporal-parts alternative to coincidence has (...) been challenged on the grounds that it leads to a kind of coincidence of its own. When something that is a temporal part of more than one person thinks about its future self, it must be thinking about a multitude of people. Thus, there must be many people thinking many thoughts in that region occupied by the thinking part. The third goal of this paper is debunking this attack on temporal parts. (shrink)

Four-dimensionalism is the thesis that everyday objects, such as you and me, are space-time worms that persist through time by having temporal parts none of which is identical to the object itself. Objects are aggregates or sums of such temporal parts. The main virtue of fourdimensionalism is that it solves—or does away with—the problem of identity through change.1 The main charge raised against it is that it is inconsistent with the thesis according to which there is change in the world.2 (...) If this charge could be sustained, then we would need compelling arguments in support of the view that things are four-dimensional, since the view that there is no change in the world conflicts with so many of our most well-supported common-sense beliefs. In what follows, however, I want to show that, contrary to what is usually believed, fourdimensionalism does not entail a changeless world. (shrink)

Four-dimensionalism is the thesis that everyday objects, such as you and me, are space-time worms that persist through time by having temporal parts none of which is identical to the object itself. Objects are aggregates or sums of such temporal parts. The main virtue of four-dimensionalism is that it solves—or does away with—the problem of identity through change. The main charge raised against it is that it is inconsistent with the thesis according to which there is change in the world. (...) If this charge could be sustained, then we would need compelling arguments in support of the view that things are four-dimensional, since the view that there is no change in the world conflicts with so many of our most well-supported common-sense beliefs. In what follows, however, I want to show that, contrary to what is usually believed, four-dimensionalism does not entail a changeless world. (shrink)

How do ordinary objects persist through time and across possible worlds ? How do they manage to have their temporal and modal properties ? These are the questions adressed in this book which is a "guided tour of theories of persistence". The book is divided in two parts. In the first, the two traditional accounts of persistence through time (endurantism and perdurantism) are combined with presentism and eternalism to yield four different views, and their variants. The resulting views are then (...) examined in turn, in order to see which combinations are appealing and which are not. It is argued that the 'worm view' variant of eternalist perdurantism is superior to the other alternatives. In the second part of the book, the same strategy is applied to the combinations of views about persistence across possible worlds (trans-world identity, counterpart theory, modal perdurants) and views about the nature of worlds, mainly modal realism and abstractionism. Not only all the traditional and well-known views, but also some more original ones, are examined and their pros and cons are carefully weighted. Here again, it is argued that perdurance seems to be the best strategy available. (shrink)

In this paper, I examine various theories of persistence through time under presentism. In Part I, I argue that both perdurantist views (namely, the worm view and the stage view) suffer, in combination with presentism, from serious difficulties and should be rejected. In Part II, I discuss the presentist endurantist view, to see that it does avoid the difficulties of the perdurantist views, and consequently that it does work, but at a price that some may consider as being very high: (...) its ontological commitments to platonic universals and to the substratum theory, that as we shall see follow from the combination of endurantism with presentism, will perhaps not be to everyone's taste. (shrink)

The eternalist endurantist and perdurantist theories of persistence through time come in various versions, namely the two versions of perdurantism: the worm view and the stage view , and the two versions of endurantism: indexicalism and adverbialism . Using as a starting point the instructive case of what is depicted by photographs, I will examine these four views, and compare them, with some interesting results. Notably, we will see that two traditional enemies—the perdurantist worm view and the endurantist theories—are more (...) like allies : they are much less different than what is usually thought, and some alleged points of central disagreement fall prey to closer scrutiny. The aim of this paper is to examine carefully all those points, and to call attention to the places where the real differences between these views lie. I will then turn to the perdurantist stage view, and claim that with respect to some central issues it is the view that is the most different from the other three, but that in some places the reason why it different is also the reason why it is less satisfactory. (shrink)

This is a collection of twenty-five papers and reviews by the leading analytic philosopher of our time. It adds to the papers on metaphysics and epistemology to be found in his previous two-volume collection published by Oxford University Press. One previously unpublished paper—“Why Conditionalize?”—is included. Australasian philosophers may note with some pride that eleven of the pieces were first published in the Australasian Journal of Philosophy.

This volume provides a balanced set of reviews which introduce the central topics in the philosophy of time. This is the first introductory anthology on the subject to appear for many years; the contributors are distinguished, and two of the essays are specially written for this collection. In their introduction, the editors summarize the background to the debate, and show the relevance of issues in the philosophy of time for other branches of philosophy and for science. Contributors include J.M.E. McTaggart, (...) Arthur N. Prior, D.H. Mellor, Sydney Shoemaker, Graeme Forbes, Lawrence Sklar, Michael Dummett, David Lewis, W.H. Newton-Smith, and Anthony Quinton. (shrink)

This book gathers together thirteen of Peter van Inwagen's essays on metaphysics, several of which have acquired the status of modern classics in their field. They range widely across such topics as Quine's philosophy of quantification, the ontology of fiction, the part-whole relation, the theory of 'temporal parts', and human knowledge of modal truths. In addition, van Inwagen considers the question as to whether the psychological continuity theory of personal identity is compatible with materialism, and defends the thesis that possible (...) states of affairs are abstract objects, in opposition to David Lewis's 'extreme modal realism'. A specially-written introduction completes the collection, which will be an invaluable resource for anyone interested in metaphysics. (shrink)

_Philosophy of Motion Pictures_ is a first-of-its-kind, bottom-up introduction to this bourgeoning field of study. Topics include film as art, medium specificity, defining motion pictures, representation, editing, narrative, emotion and evaluation. Clearly written and supported with a wealth of examples Explores characterizations of key elements of motion pictures –the shot, the sequence, the erotetic narrative, and its modes of affective address.

The twelve essays by Kendall Walton in this volume address a broad range of issues concerning the arts. Walton introduces an innovative account of aesthetic value, and explores relations between aesthetic value and values of other kinds. His classic 'Categories of Art' is included, as is 'Transparent Pictures', his controversial account of what is special about photographs. A new essay investigates the fact that still pictures are still, although some of them depict motion. New postscripts have been added to several (...) of the reprinted essays. (shrink)

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...) audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

This provocative book attempts to resolve traditional problems of identity over time. It seeks to answer such questions as 'How is it that an object can survive change?' and 'How much change can an object undergo without being destroyed'? To answer these questions Professor Heller presents a theory about the nature of physical objects and about the relationship between our language and the physical world. According to his theory, the only actually existing physical entities are what the author calls 'hunks', (...) four-dimensional objects extending across time and space. This is a major contribution to ontological debate and will be essential reading for all philosophers concerned with metaphysics. (shrink)