We propose an ontological theory that is powerful enough to describe both complex spatio-temporal processes (occurrents) and the enduring entities (continuants) that participate in such processes. For this purpose we distinguish between meta-ontology and token ontologies. Token ontologies fall into two major categories: ontologies of type SPAN and ontologies of type SNAP. These represent two complementary perspectives on reality and result in distinct though compatible systems of categories. The meta-ontological level then describes the relationships between the different token ontologies. (...) In a SNAP (snapshot) ontology we have enduring entities such as substances, qualities, roles, functions as these exist to be inventoried at a given moment of time. In a SPAN ontology we have perduring entities such as processes and their parts and aggregates. We argue that both kinds of ontological theory are required, together with the metaontology which joins them together, in order to give a non-reductionistic account of both static and dynamic aspects of the geospatial world. (shrink)

In the exuberance that followed Einstein’s discoveries, philosophers at one time or another have proposed that his theories support virtually every conceivable moral in ontology. I present an opinionated assessment, designed to avoid this overabundance. We learn from Einstein’s theories of novel entanglements of categories once held distinct: space with time; space and time with matter; and space and time with causality. We do not learn that all is relative, that time (...) in the fourth dimension in any non-trivial sense, that coordinate systems and even geometry are conventional or that spacetime should be reduced ontologically to causal, spatio-temporal or other relations. (shrink)

This book is intended as an introduction to the philosophical problems of space and time, suitable for any reader who has an interest in the nature of the universe and who has a secondary-school knowledge of physics and mathematics. In particular, it is hoped that the book may find a use in philosophy departments and physics departments within universities and other tertiary institutions. The attempt is always to introduce the problems from a twentieth-century point of view. It is (...) preferable to introduce the history of the topic if and when that history becomes relevant to the development and solution of the problems, rather than to introduce a problem that was of importance in some previous age and to trace the development of it down the years. (shrink)

Trendelenburg argued that Kant's arguments in support of transcendental idealism ignored the possibility that space and time are both ideal and real. Recently, Graham Bird has claimed that Trendelenburg (unlike his contemporary Kuno Fischer) misrepresented Kant, confusing two senses of . I defend Trendelenburg's : the ideas of space and time, as a priori and necessary, are ideal, but this does not exclude their validity in the noumenal realm. This undermines transcendental idealism. Bird's attempt to show (...) that the Analytic considers, but rejects, the alternative fails: an epistemological reading makes Kant accept the alternative, while an ontological reading makes him incoherent. As I demonstrate, Trendelenburg acknowledged the ambiguity of , focusing on the transcendental, not the empirical sense. Unlike Fischer, Bird denies Kant's commitment to things-in-themselves in favour of a descriptivist, non-ontological reading of transcendental idealism as an inventory of . But neither Bird's descriptivism, nor Fischer's commitment to things-in-themselves, answers Trendelenburg's sceptical worry about transcendental idealism. (shrink)

The direct proof of transcendental idealism, in the Transcendental Aesthetic of Kant's First Critique, has borne the brunt of enormous criticism. Much of this criticism has arisen from a confusion regarding the epistemological nature of the arguments Kant proposes with the alleged ontological conclusions he draws. In this paper I attempt to deflect this species of criticism. I concentrate my analysis on the Metaphysical Expositions of Space and Time. I argue that the argument form of the Metaphysical Expositions (...) is that of disjunctive syllogism and that Kant's primary target of attack is that of Leibnizian relativism. I provide a detailed analysis and reconstruction of the arguments of the Metaphysical Expositions, defending Kant against various claims of argumentative invalidity and incoherence. I conclude by identifying what can properly be inferred regarding the ontological nature of space and time, given my reconstructions of the arguments, and by suggesting the manner in which Kant can deflect objections from the other major proponent of transcendental realism, namely, Newtonian absolutism. (shrink)

This book is intended as an introduction to the philosophical problems of space and time, suitable for any reader who has an interest in the nature of the universe and who has a secondary-school knowledge of physics and mathematics. In particular, it is hoped that the book may find a use in philosophy departments and physics departments within universities and other tertiary institutions. The attempt is always to introduce the problems from a twentieth-century point of view. It is (...) preferable to introduce the history of the topic if and when that history becomes relevant to the development and solution of the problems, rather than to introduce a problem that was of importance in some previous age and to trace the development of it down the years. (shrink)

There is an inherent need for education systems and mental health models to begin incorporating principles of non-local science in their approach to education for a population to gain general intelligence. Contemporary education is lagging in comparison with scientific progress due to the adoption of concepts that are considered outdated in current scientific terms. While education systems have not moved away from physical theories the scientific community began departing from this scientific framework in the year 1900 with the dawn of (...) the discovery of the Planck constant. The Bhagavata Purana provides a robust framework to encompass various spatial features of reality required to describe non-local sciences. This research attempts to assess the extent toward which the Bhagavata Purana can reconcile the various issues in contemporary scientific theory. Through review of Newton’s Principia Mathematica, Immanuel Kant’s Critique of Pure Reason, articles on Einstein’s Theory of Relativity, various academic papers regarding quantum physics as well as published articles on topics of space and time, various reference frames used for perceiving reality is compared to the Bhagavata Purana. The research concludes that the true nature of time according to the Bhagavata is ontological and relative to the reference frame used by the observer to perceive reality and stresses that the only way to perceive the true ontological state of Time is through a practice called devotional service. This research also recommends that there should be further research done in this area through the phenomenological research of time and space. (shrink)

I argue that there are no physical singularities in space–time. Singular space–time models do not belong to the ontology of the world, because of a simple reason: they are concepts, defective solutions of Einstein’s field equations. I discuss the actual implication of the so-called singularity theorems. In remarking the confusion and fog that emerge from the reification of singularities I hope to contribute to a better understanding of the possibilities and limits of the theory of (...) general relativity. (shrink)

This collection focuses on the ontology of space and time. It is centred on the idea that the issues typically encountered in this area must be tackled from a multifarious perspective, paying attention to both a priori and a posteriori considerations. Several experts in this area contribute to this volume: G. Landini discusses how Russell’s conception of time features in his general philosophical perspective;D. Dieks proposes a middle course between substantivalist and relationist accounts of space- (...) class='Hi'>time;P. Graziani argues that it is necessary to provide an account of the “synthetic procedures” implicit in the recourse to diagrams in Euclid’s Elements, while E. Mares comes to the conclusion that in Euclid’s Elements we should treat the parallel postulate as empirical and the postulate that space is continuous as a priori. M. Arsenijevi?/M. Adži? present an important formal result concerning two theories of the infinite two-dimensional continua, which sheds new light on the current dispute between gunkologists and pointilists; F. Orilia discusses two problems for presentism, one regarding the duration of the present and the other related to Zeno’s paradoxes. A. Iacona delves deep into logical matters by focusing on the so-called T×W modal frames in order to deal with the deteterminism-indeterminism controversy. D. Mancuso outlines a non-standard temporal model compatible with time travel, andV. Fano/G. Macchia discuss time travels in the light of an important foundational principle of modern cosmology, Weyl’s Principle. (shrink)

This article investigates the problem of the identity of the parts of space in Newton’s natural philosophy, as well as the holistic or structuralist nature of Newton’s ontology of space. Additionally, this article relates the lessons reached in this historical and philosophical investigation to analogous debates in contemporary space-time ontology. While previous contributions, by Nerlich, Huggett, and others, have proven to be informative in evaluating Newton’s claims, it will be argued that the underlying goals (...) of Newton’s views have largely eluded prior analysis and that Newton’s approach is similar, and lends support, to several current structuralist trends in the conception of space-time ontology. (shrink)

The “origins” of (geometric) space is examined from the perspective of the so-called “conceptual space” or “semantic space”. Semantic space is characterized by its fundamental “locality” that generates an “implicit” mode of geometrizing. This view is examined from within three perspectives. First, the role that various diagrammatic entities play in the everyday life and pragmatic activities of selected ethnic groups is illustrated. Secondly, it is shown how conceptual spaces are fundamentally linked to the meaning effects of (...) particular natural languages and these are very different from the global and universal aspects of Euclidean spaces. Thirdly, it is contended that these modes of creating body and culture-based spatial frameworks and related cosmogonies and cosmologies can be described as forms of “latent geometry” that initially appear unexplainable in any rational way. Nonetheless, and thanks to the deep mathematical reflections provided by René Thom, it is illustrated how the various ways of generating space can be further analyzed as distortions of mainstream spatialization furnished by Euclidean geometry that established the dominant universality of the ideas of space (and time). (shrink)

In this paper the author examines the ontology of Byzantine music in its self, its aesthetical ground, the philosophical and cultural principles of creation, its episteme, the epistemological field that produced its forms from the 12th till the 14th century, and why that musical ontology hasn’t change through the centuries. The paper discusses in partucular Ernst Bloch’s view that the only evolutionary expression of the Absolute spirit as far as music is concerned, is Western classical music. The author (...) claims that the Western and the Byzantine music stand for two totally distinct and diverse ontologies of the musical being, something that Bloch seems to overlook; this, according to the author, is mostly due to the different systems of representation that have been used, and especially the representational ideas of the time-space relation. The author supports the view that while Western music is spatially-modeled, Byzantine music is time-modeled. (shrink)

In this paper I challenge the common view that early in his career (1679-1695) Leibniz held that space and time are well-founded phenomena, entities on an ontological par with bodies and their properties. I argue that the evidence Leibniz ever held that space and time are well-founded phenomena is extremely weak and that there is a great deal of evidence for thinking that in the 1680s he held a position much like the one scholars rightly attribute (...) to him in his mature period, namely, that space and time are merely orders of existence and as such are purely abstract and occupy an ontological realm distinct from that of well-founded phenomena. In the course of arguing for this interpretation, I offer an account of the nature of Leibnizian phenomena which allows Leibniz to hold the view that space and time are phenomena, while at the same time thinking of them as abstract, ideal orders of existence. (shrink)

Beginning with Berkeley and Leibniz, philosophers have been puzzled by the close yet ambivalent association in Newton's ontology between God and absolute space and time. The 1962 publication of Newton's highly philosophical manuscript De Gravitatione has enriched our understanding of his subtle, sometimes cryptic, remarks on the divine underpinnings of space and time in better-known published works. But it has certainly not produced a scholarly consensus about Newton's exact position. In fact, three distinct lines of (...) interpretation have emerged: Independence: space and time are not essentially related to God. Causation: space and time are caused by God. Assimilation: space and time are attributes of God. This paper defends the third interpretation against the first two by drawing out the under-appreciated influence of Descartes' metaphysics on Newton's ‘physico-theology’. (shrink)

This paper is a brief (and hopelessly incomplete) non-standard introduction to the philosophy of space and time. It is an introduction because I plan to give an overview of what I consider some of the main questions about space and time: Is space a substance over and above matter? How many dimensions does it have? Is space-time fundamental or emergent? Does time have a direction? Does time even exist? Nonetheless, this introduction (...) is not standard because I conclude the discussion by presenting the material with an original spin, guided by a particular understanding of fundamental physical theories, the so-called primitive ontology approach. (shrink)

Graham Nerlich is one of the most distinguished of contemporary philosophers of space and time. Eleven of his essays are here brought together in a carefully structured volume, which deal with ontology and methodology in relativity, variable curvature and general relativity, and time and causation. The author has provided a new general introduction and also introductions to each part to bring the discussion more up to date and draw out the general themes. The book will be (...) welcomed by all philosophers of physics, and of science in general. (shrink)

This study considers Newton's views on space and time with respect to some important ontologies of substance in his period. Specifically, it deals in a philosophico-historical manner with his conception of substance, attribute, existence, to actuality and necessity. I show how Newton links these “features” of things to his conception of God's existence with respect of infinite space and time. Moreover, I argue that his ontology of space and time cannot be understood without (...) fully appreciating how it relates to the nature of Divine existence. In order to establish this, the ontology embodied in Newton's theory of predication is analysed, and shown to be different from the presuppositions of the ontological argument. From the historical point of view Gassendi's influence is stressed, via the mediation of Walter Charleton. Furthermore, Newton's thought on these matters is contrasted with Descartes's and Spinoza's. In point of fact, in his earliest notebook Newton recorded observations on Descartes's version of the ontological argument. Soon, however, he was to oppose the Cartesian conception of the actuality of Divine existence by means of arguments similar to those of Gassendi. Lastly, I suggest that the nature and extent of Henry More's influence on Newton's conception of how God relates to absolute space and time bears further examination. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume on Space (and Time) BEN MIJUSKOVIC HUME'S LABYRINTHINE ANALYSES of our ideas of space and time, textually occuring so early in the Treatise, 1clearly testify to his conviction of their central role in the physical sciences, then making such fantastic progress. Furthermore, quite early in the Treatise, Hume indicates his ambition to effect a revolution in the mental sciences comparable to the one Newton (...) had achieved in the physical disciplines, through the latter's conception of the force and effects of gravity. Accordingly, Hume regards the three principles or laws of the association of ideas as a "kind of ATTRACTION, which in the mental world will be found to have as extraordinary effects as in the natural" (T, 12-13). In pursuit of his investigations Hume commences, in the first part of the Treatise, by insisting on the principle that all our simple ideas are derived from simple impressions and that impressions always precede their correspondent ideas (T, 4, 7). This being firmly established, Hume nevertheless immediately proceeds in the very next part of the work to declare, paradoxically enough, that our ideas of space and time are complex ideas that lie beyond the nature of each and all of our simple impressions. Differently put, Hume is insisting that our ideas of space and time, unlike our idea of, say, a shade of blue, are not derived unproblematically from a precedent, simple mental impression (or physiological sensation, ~ la Locke). Thus, according to Hume, our idea of space is not sensationally given; it is not traceable to an antecedent extended impression as our idea of blue is derived from a precedent impression of blue. Hume's insistence that our conception of space is nonsensational has perplexed competent commentators on Hume. Consequently, even so able an interpreteter as Kemp Smith has been puzzled "why it was that [Hume] did not take the more easy line of allowing 'extensity' to the sensations of sight and touch. ''2 Or again, "How is it that [Hume] has not taken what would seem to be for him the easier and more obvious course, at least as regards space--the course usually taken by those who hold a sensationalist theory of knowledge--that extensity is a feature of certain of our sensations (those given through the senses of touch and sight), and in consequence sensibly imaged?" (PDH, 280). Of this simpler solution both Hobbes (Leviathan, Pt. I, 1; De Corpore, Pt. II, 7, 8) and Locke (Essay, II, 8) had availed themselves prior to Hume. Hence, Kemp Smith has found the section to be tough going indeed and has contented himself, to a great extent, in simply offering a number of historical appendices, suggesting lines of influence on Hume, through passages discovered in the works of Pierre Bayle, Nicholas de Malezieu, and Isaac Barrow. Now, without denying that Hume studied and was influenced in part by the ' A Treatise of Hurnan Nature, ed. L. A. Selby-Bigge (Oxford, 1888); hereafter cited as T. 2 The Philosophy of David Hume (New York, 1964), p. 277; hereafter cited as PDH. [3871 388 HISTORY OF PHILOSOPHY thinking of these authors (as well as by Francis Hutcheson), I wish to take up and develop in this paper a "historical" suggestion first offered by a student of Kemp Smith's, Charles Hendel; and I shall extend Hendel's point and try to argue a "theoretic" one, namely, that Hume's phenomenalism in the section devoted to space and time is derived from, and closely akin to, a form of Leibnizian idealism. In 1925, Hendel argued that Hume was directly influenced by the Leibniz-Clarke debate over the ontological and epistemological status of space and time; and he held that for Hume space and time, as appearances, were ultimately grounded in the associative power of the imagination.' Thirty years later, in a second edition, Hendel disavowed his earlier claim concerning the imagination and avoided discussion of his prior view that Hume was influenced by the Leibniz-Clarke correspondence (1963 edition, pp. 501, 503). In Hume's Philosophy of Human Nature, which first appeared in 1932 (reissued by Archon, 1967; see pp. 64-65, 67, 73, 77), John Laird also intimated that... (shrink)

The central premise of this book is that biblical Hebrew narrative, in terms of its structure, tends to operate under similar mechanical constraints to those of a stage-play; wherein space is central, characters are fluid, and objects within the narrative tend to take on a deep internal significance. The smaller episodic narrative units within the Hebrew aesthetic tend to grant primacy to space, both ideologically and at the mechanical level of the text itself. However space, as a (...) determinate structural category, has been all but overlooked in the field of biblical studies to date; reflecting perhaps our own inability, as modern readers, to see beyond the dominant cinematic aesthetic of our times. The book is divided into two major sections, each beginning with a more theoretical approach to the function of narrative space, and ending with a practical application of the previous discussion; using Genesis 28:10-22 (the Bethel narrative) and the book of Ruth respectively, as test cases.Where does the notion of free will come from? How and when did it develop, and what did that development involve? In Michael Frede's radically new account of the history of this idea, the notion of a free will emerged from powerful assumptions about the relation between divine providence, correctness of individual choice, and self-enslavement due to incorrect choice. Anchoring his discussion in Stoicism, Frede begins with Aristotle--who, he argues, had no notion of a free will--and ends with Augustine. Frede shows that Augustine, far from originating the idea (as is often claimed), derived most of his thinking about it from the Stoicism developed by Epictetus. (shrink)

This book contains selected papers from the First International Conference on the Ontology of Spacetime. Its fourteen chapters address two main questions: first, what is the current status of the substantivalism/relationalism debate, and second, what about the prospects of presentism and becoming within present-day physics and its philosophy? The overall tenor of the four chapters of the book’s first part is that the prospects of spacetime substantivalism are bleak, although different possible positions remain with respect to the ontological status (...) of spacetime. Part II and Part III of the book are devoted to presentism, eternalism, and becoming, from two different perspectives. In the six chapters of Part II it is argued, in different ways, that relativity theory does not have essential consequences for these issues. It certainly is true that the structure of time is different, according to relativity theory, from the one in classical theory. But that does not mean that a decision is forced between presentism and eternalism, or that becoming has proved to be an impossible concept. It may even be asked whether presentism and eternalism really offer different ontological perspectives at all. The writers of the last four chapters, in Part III, disagree. They argue that relativity theory is incompatible with becoming and presentism. Several of them come up with proposals to go beyond relativity, in order to restore the prospects of presentism. · Space and time in present-day physics and philosophy · Relatively low level of technicality, easily accessible · Introduction from scratch of the debates surrounding time · Top authors explaining their positions · Broad spectrum of approaches, coherently represented. (shrink)

Defends and transforms naturalism and materialism to show how culture itself is formed by nature. Bryant endorses a pan-ecological theory of being, arguing that societies are ecosystems that can only be understood by considering nonhuman material agencies such as rivers and mountain ranges alongside signifying agencies such as discourses, narratives and ideologies.

In this paper, I try to refute the Kantian a priorism. At the same time, I try to explain the existence of an a priori concerning space and time on the basis of contemporary neuro-physiology. This a priori is the opposite of the a-historical a priori of Kant. Concerning space and time, I argue that relativity concords with the philosophical thesis that space and time are forms of existence of matter. On the basis (...) of this ontological principle, I support that by accepting the existence of local absolute systems of reference, it is possible to explain some paradoxes of special relativity and at the same time to refute the relativism related to the theory of Einstein. (shrink)

The traditional absolutist-relationist controversy about space and time conflates four distinct issues: existence, abstraction, relationality and relativity. Terms which are relational, relative or abstract may denote items which possess contingent properties. Possession of such properties, including topological and geometrical properties, is therefore no indication of logical type. To fail to recognise the possibility of spaces, times and space-times of various logical types is to risk conflating two distinct ontological issues: a metaphysical issue concerning the existence of abstract (...) objects and a question of physics concerning the existence of causally efficacious substrata which may or may not be needed to explain the contingent properties of the abstract objects. (shrink)

There are two types of theories regarding many worlds: one is modal, while the other is temporal. The former regards reality as consisting of many possible worlds, while the latter holds that reality consists of many momentary worlds, which are usually called moments. I compare these two theories, paying close attention to the concept of transworld identity and compare trans-possible world identity with trans-momentary world identity (or transmoment identity). I characterize time from the point of many-worlds view, believing this (...) to be one of the best ways of grasping the reality of time. First, I show that there is reason to adopt the many-worlds view because transworld identity is meaningful for both of them, while it is not for space. Second, I argue that transmoment identity is different from transpossible world identity concerning reality. The former is a realistic relation, while the latter is not. Thus, I find that the reality of time is in the relation of transmoment identity. Such a view, I contend, has merit on the basis that it recognizes the reality of time in a sense that is not true of space. (shrink)

The view of nature we adopt in the natural attitude is determined by common sense, without which we could not survive. Classical physics is modelled on this common-sense view of nature, and uses mathematics to formalise our natural understanding of the causes and effects we observe in time and space when we select subsystems of nature for modelling. But in modern physics, we do not go beyond the realm of common sense by augmenting our knowledge of what is (...) going on in nature. Rather, we have measurements that we do not understand, so we know nothing about the ontology of what we measure. We help ourselves by using entities from mathematics, which we fully understand ontologically. But we have no ontology of the reality of modern physics; we have only what we can assert mathematically. In this paper, we describe the ontology of classical and modern physics against this background and show how it relates to the ontology of common sense and of mathematics. (shrink)

In the correspondence with Clarke, Leibniz proposes to construe physical theory in terms of physical (spatio-temporal) relations between physical objects, thus avoiding incorporation of infinite totalities of abstract entities (such as Newtonian space) in physical ontology. It has generally been felt that this proposal cannot be carried out. I demonstrate an equivalence between formulations postulating space-time as an infinite totality and formulations allowing only possible spatio-temporal relations of physical (point-) objects. The resulting rigorous formulations of physical (...) theory may be seen to follow Leibniz' suggestion quite closely. On the other hand, physical assumptions implicit in the postulation of space-time totalities are made explicit in the reconstruction of the space-time versions from the physical-relation versions. (shrink)

The action-reaction principle (AR) is examined in three contexts: (1) the inertial-gravitational interaction between a particle and space-time geometry, (2) protective observation of an extended wave function of a single particle, and (3) the causal-stochastic or Bohm interpretation of quantum mechanics. A new criterion of reality is formulated using the AR principle. This criterion implies that the wave function of a single particle is real and justifies in the Bohm interpretation the dual ontology of the particle and (...) its associated wave function. But it is concluded that the Bohm theory is not dynamically complete because the particle and its associated wave function do not satisfy the AR principle. (shrink)

I present a discussion of some open issues in the philosophy of space-time theories. Emphasis is put on the ontological nature of space and time, the relation between determinism and predictability, the origin of irreversible processes in an expanding Universe, and the compatibility of relativity and quantum mechanics. In particular, I argue for a Parmenidean view of time and change, I make clear the difference between ontological determinism and predictability, propose that the origin of the (...) asymmetry observed in physical processes is related to the existence of cosmological horizons, and present a non-local concept of causality that can accommodate both special relativity and quantum entanglement. (shrink)

Martin Heidegger’s Being and Time (1927) challenged earlier thinking about the basic structures of human being, our involvement in practical affairs, and our understanding of history, time, and being. Blitz clarifies Heidegger’s discussions, offers alternative analyses of phenomena central to Heidegger’s argument, and examines the connection between Heidegger’s position in Being and Time and his support of Nazism. As Blitz explains in his new afterword, “When I began to study Martin Heidegger nearly fifty years ago, my goal (...) was to explore the meaning of Being and Time for political philosophy. I wished to discover what it might offer for clarifying the grounds on which the basic concepts and alternatives of political philosophy rest. Would a close reading of it help us understand the questions of justice, freedom, the common good, natural rights, virtue, human happiness, and the philosophic life? These questions are as important today as they were then.” Although Blitz often questions and criticizes Heidegger’s views, he presents them with scrupulous care and clarity. Specialists and students in the areas of political theory, phenomenology, metaphysics, and moral philosophy will find Heidegger’s Being and Time & the Possibility of Political Philosophy an invaluable resource. (shrink)

Doris Lessing is a writer for all times; she is a historiographer and a transnational translational mediator between the East and the West. This volume provides a collection of articles analysing Doris Lessing's literature. The first part, entitled "Lessing's World of Words", offers a broad vision of the writer's novels; it introduces her many genres and sheds light on her literary affiliations. This is followed by "Lessing's Other Spaces", which dives into the novelist's imaginary and spiritual universes. The final part, (...) "Intersections: Lessing and Other Writers" establishes an analogy between Lessing's texts and Ahlem Mustaghanemi's Memory in the Flesh, Atiq Rahimi's Earth and Ashes and Salman Rushdie's Shame. (shrink)

Substantivalists claim that spacetime enjoys an existence analogous to that of material bodies, while relationalists seek to reduce spacetime to sets of possible spatiotemporal relations. The resulting debate has been central to the philosophy of space and time since the Scientific Revolution. Recently, many philosophers of physics have turned away from the debate, claiming that it is no longer of any relevance to physics. At the same time, there has been renewed interest in the debate among physicists (...) working on quantum gravity, who claim that the conceptual problems which they face are intimately related to interpretative questions concerning general relativity . My goal is to show that the physicists are correct--there is a close relationship between the interpretative issues of classical and quantum gravity. ;In the first part of the dissertation I challenge the received view that substantivalism has a commanding advantage over relationalism on grounds internal to GR. I argue that this view is based on a misconception of the relationships between realism and substantivalism, and between empiricism and relationalism. This has led to a narrow conception of relationalism. Once this is relinquished it can be seen that none of the standard arguments in favor of substantivalism are cogent. ;In the second part of the dissertation, I consider the way in which considerations arising out of quantum gravity bear upon the substantival-relational debate. I develop a framework in which to discuss the interpretative problems of gauge theories and place GR in this context. From this perspective, I provide a taxonomy of interpretative options, and show how the hole argument arises naturally as a consequence of gauge freedom. This means that certain substantivalist interpretations of GR render the theory indeterministic. In the final chapter, I argue that, far from being a drawback, this presents an opportunity for substantivalists. Examples from quantum mechanics, quantum field theory, and quantum gravity, are used to demonstrate that the ambiguities inherent in quantization can lead to an interpretative interplay between theories. In the case of quantum gravity, this means that substantivalism and relationalism suggest, and are suggested by, distinct approaches to quantizing GR. (shrink)

Consider the most recent Yale-Harvard football game, an event which occurred on 11/20/21 in New Haven, lasting about three hours. This event, like many college football games before, was composed of four quarters, each of which was composed of possessions, each of which was composed of downs, each of which was composed of particular movements, tackles and decisions of the individual players. Each of these parts of the game was itself an event, occurring in a smaller region of space (...) and time than the game itself. Each of these events involved material objects like players, helmets, jerseys, etc. Each had causes and effects, and each instantiated qualitative properties, such as being a kickoff or being a tackle. These are paradigmatic examples of events. Events are many and varied; some other examples include the melting of an ice cube, the birth of a horse, the supernova of a star, the presidential election campaign and a winter snowstorm. Each of these took place in a certain region of spacetime, had other events as parts, involved certain objects, had causes and effects, and instantiated properties. Objects and their properties are not the only furniture in the world. Events are a crucial part of our manifest and scientific pictures of the world. We go to football games, think about and participate in elections, eagerly anticipate the birth of a child, and quantify over and explain such things in our scientific theories. Yet, events have received insufficient attention from metaphysicians. Some philosophers have been skeptical of events, holding that talk of events can be paraphrased away, or that events can be reduced to objects and properties.1 When philosophers have accepted events, their motivations have usually been extrinsic—events are introduced in order to play a role in a larger philosophical system. This tendency has led philosophers to miss a number of interesting features of events. In this paper, I wish to reverse that trend by developing an ontology of events which is not an afterthought with respect to another philosophical project. In so doing, I will provide answers to substantive metaphysical questions about the relations in which events stand and their identity conditions. In the next section, I identify four basic relations in which events stand: parthood, involvement, causation and instantiation, focusing in particular on involvement. Then, I argue that events are individuated by their involvements, and criticize the identity conditions which have been offered by other philosophers, notably Quine, Davidson and Kim. I then conclude. (shrink)

Could space consist entirely of extended regions, without any regions shaped like points, lines, or surfaces? Peter Forrest and Frank Arntzenius have independently raised a paradox of size for space like this, drawing on a construction of Cantor’s. I present a new version of this argument and explore possible lines of response.

Here, formal tools are used to pose and answer several philosophical questions concerning space and time. The questions involve the properties of possible worlds allowed by the general theory of relativity. In particular, attention is given to various causal properties such as “determinism” and “time travel”.

A revised translation of Heidegger's most important work.

John Bell proposed an ontology for the GRW modification of quantum mechanics in terms of flashes occurring at space- time points. This article spells out the motivation for this ontology, inquires into the status of the wave function in it, critically examines the claim of its being Lorentz invariant, and considers whether it is a parsimonious but nevertheless physically adequate ontology.

A new, definitive translation of Heidegger's most important work.

In this paper, I examine some of the most important theories of modern physics that support the notion that events are the basic ontological units of reality. The two main themes of this paper include: (1) physical evidence in support of an ontology of events, and (2) the increasing unification of physical theory until we arrive at the current state of two highly successful theories that are presently disunified within the search for a comprehensive, unified theory. With the revolutionary (...) developments in physics at the end of the nineteenth century, the mechanistic materialism of Newtonian physics began to break down and the ancient trinity of space, time and matter has been gradually replaced by the notion of the energy field. Physicists and philosophers who have held an event ontology specifically for its compatibility with electromagnetism, relativity theory and quantum mechanics include: Albert Einstein, Alfred North Whitehead, Bertrand Russell, C. D. Broad, W. V. Quine, John Bell, Henry Stapp, and Milič Čapek among many others. For these theorists, events are the most fundamental entities of physical reality in contrast to the Aristotelian tradition which contends that events are secondary or dependent on physical substance. (shrink)

Parallel lives is an ontological model of nature in which quantum mechanics and special relativity are unified in a single universe with a single space-time. Point-like objects called lives are the only fundamental objects in this space-time, and they propagate at or below c, and interact with one another only locally at point-like events in space-time, very much like classical point particles. Lives are not alive in any sense, nor do they possess consciousness or (...) any agency to make decisions—they are simply point objects which encode memory at events in space-time. The only causes and effects in the universe occur when lives meet locally, and thus the causal structure of interaction events in space-time is Lorentz invariant. Each life traces a continuous world-line through space-time, and experiences its own relative world, fully defined by the outcomes of past events along its world-line, which are encoded in its external memory. A quantum field comprises a continuum of lives throughout space-time, and familiar physical systems like particles each comprise a sub-continuum of the lives of the field. Each life carries a hidden internal memory containing a local relative wavefunction, which is a local piece of a pure universal wavefunction, but it is the relative wavefunctions in the local memories throughout space-time which are physically real in PL, and not the universal wavefunction in configuration space. Furthermore, while the universal wavefunction tracks the average behavior of the lives of a system, it fails to track their individual dynamics and trajectories. There is always a preferred separable basis, and for an irreducible physical system, each orthogonal term in this basis is a different relative world—each containing some fraction of the lives of the system. The relative wavefunctions in the lives’ internal memories govern which lives of different systems can meet during future local interactions, and thereby enforce entanglement correlations—including Bell inequality violations. These, and many other details, are explored here, but several aspects of this framework are not yet fleshed out, and work is ongoing. (shrink)

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)

Abstract The grammar of spatial and temporal concepts cannot, it is argued, be the same in their application to the (manifest) world as perceived and to the (nether) world of unobservable causes as modelled in physics. A parallel case is the dual meaning of colour words, for hues and for material dispositions. The keys to differentiating the two main ranges of uses of ?s? and ?t? are: differences in criteria of numerical and qualitative identity in the two ?worlds'; differences in (...) the logic of indexicals in each context; the explanatory role of powers. The differences can be illustrated in a close analysis of the concept of velocity. (shrink)

A revised translation of Heidegger's most important work.

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)