This useful anthology comprises seventy-nine selections arranged under three headings. Part I is titled "Ancient and Classical Ideas of Space"; part II, "The Classical and Ancient Concepts of Time"; part III, "Modern Views of Space and Time and their Anticipations." According to the general editors of the Boston series, R. S. Cohen and Marx W. Wartofsky, Capek’s choice of contents was governed by the desire to show that "parts of our view of nature greatly and mutually (...) influence other parts, and that our conception of the world keeps evolving. Thus, ideas of time intertwine with ideas of space, and both with ideas of matter and force." F. M. Cornford’s essays, "The Invention of Space" and "The Elimination of Time by Parmenides," introduce parts I and II respectively. In part I, while Descartes, Pascal, Gassendi, Newton, etc., speak for themselves, the ancients and medievals are given other mouthpieces—Duhem’s monumental Le système du monde, for Plato, Aristotle, and the medievals; C. Bailey, for Leucippus, Epicurus and Lucretius; Koyré, Höffding, Jammer, for the period from Bradwardine to William Gilbert. On the subject of time, however, both ancient and classical authors are allowed to express their opinions in their own words, with the understandable exception of the Stoics. Part III begins with the prerelativistic critique of Newton as well as the well-known Clarke-Leibniz discussion on the nature of space and time. This third part, however, is dominated largely by the implications of Einstein’s general and special relativity theories. For instance, we have Minkowski’s "Union of Space and Time." Four items, at least, are devoted to the twin-paradox. Some argue for a static, subjective, or even idealistic conception of space-time whereas positivists like Frank attack Sir James Jeans’ and other idealistic interpretations of relativity as instances of meaningless metaphysics. Part III concludes with Weyl’s objectivistic interpretation of quantum-mechanical indeterminacy. While it is difficult to find an anthology that will please all readers or teachers, this work goes far towards dealing comprehensively with the subject of space and time. As Cohen and Wartofsky note, what is distinctive of Capek’s approach within the field of philosophy of nature and its history is that "he is greatly appreciative of Bergson, James, Peirce and Whitehead" and though influenced by them, he is also critical because of the "understanding of the philosophical import that contemporary physics brings into our picture of the world." In a lengthy introduction, the editor explains his rationale for each item he includes. In general this is very helpful, but in some instances the suggested historical connections are misleading at best, if not simply false or questionable. Einstein for instance is said to have "rejected any absolute frame of reference which would be a substrate of absolutely simultaneous events... within the context of Michelson’s vain search for the absolute motion of the earth." This seems to imply—as many others have claimed—that the negative results of the ether-drift experiment influenced Einstein in formulating his relativity theory, whereas historians have pointed out that if Einstein referred to the experiment, it would have to be as a confirmation of his theory, since he did not learn of the results obtained by Michelson and Morley until after the publication of his revolutionary paper in 1905. Though there are other generalizations in the introduction which might be open to dispute, Capek’s prefatory remarks are in general helpful, and the essay collection as a whole stands on its own feet. It is valuable, if for no other reason, that a number of the selections appear in English translation for the first time.—A.B.W. (shrink)

The Dimensions of Difference examines space, time, and bodies in the works of three contemporary women directors and four continental philosophers, leading to a new approach to the question of sexual difference and its place within film criticism.

There is an apparent tension in Shepherd’s accounts of space and time. Firstly, Shepherd explicitly claims that we know that the space and time of the unperceived world exist because they cause our phenomenal experience of them. Secondly, Shepherd emphasizes that empty space and time do not have the power to effect any change in the world. My proposal is that for Shepherd time has exactly one causal power: to provide for the continued (...) existence of self-same or changing objects. Because Shepherd takes causation to be a relation whereby two objects combine to form a third, their effect, whenever we perceive a continually existing object, since time is a proper part of such objects, our perception of time is caused by time itself. Likewise, space’s causal power is to provide for the possibility of the motion or rest of objects, and so when we perceive objects with space as a proper part, we come into causal contact with space. (shrink)

Tractatus Logico-Pilosophicus, the only book published during Ludwig Wittgenstein's lifetime , has since attracted the imagination of generations of philosophers as a work of great philosophical genius. Nonetheless, even today, more than eighty years later, philosophers are struggling to reconcile its diverse themes within a single, coherent picture. The present work is an attempt to meet this challenge. ;Wittgenstein considered the single proposition as a concrete model for the fact. The challenge is to show how a system of propositions can (...) serve as a model of reality. My work concentrates on three pillars of the logic of the Tractatus: the picture theory, negation as "reversal of sense," the independence of elementary propositions. Using a simple scenario of the ordering of objects or letters on a line, I examine the conflict generated by the attempt to adequately accommodate all three themes and offer my own solution. My solution brings implications to the problem of negation and to the Tractatus's thesis that the possibilities of logical space are spanned by the possible configurations of the ultimately simple objects. One such implication, which stands in contrast to the common reading, is that in atomic facts we have 'complex objects' as constituents. ;The resolution offered, furthermore, exposes an intrinsic difficulty in the Tractatus, for which I have reserved the term arbitrary choice. The difficulty is manifested in the lack of assurance---from the perspective of logic---that a concept-word will preserve its 'standard' meaning when it is reapplied or when its scope of application varies. In this I uncover the seed of central themes in Wittgenstein's later philosophy, e.g. the rule-following argument, as present already in the Tractatus. ;In the concluding chapter, I suggest a new account for the nature of the proposition by connecting the analysis offered in the Tractatus with the subject of time and motion. The picture with which the work concludes then considers language not as corresponding to reality, but as engaged or synchronized with reality---if you will, it is a picture of language and reality in a dance. (shrink)

The genesis of space and time is investigated within the rotational-monadic paradigm. It is established that the essence of the phenomenon of space is revealed through the dialectical synthesis of its two aspects — ideal and material, where the material aspect is represented by the metaphysical construct of protomonad. It is shown that basic physical distinctions such as motion, mass, gravitation find a meaningful hermeneutic through the material aspect of space, which has a purely discrete (...) structure, while the contradiction about finitude — infinity is resolved by juxtaposing metaphysical and ontic spaces, where the Universe is represented as an “egg”. The analysis of temporality is preceded by remarks on the relational and substantive concepts of time, consideration of the discreteness-continuity dilemma, and criticism of the absolutization of discreteness in the temporality representation. It is argued that discreteness and continuity are combined dialectical oppositions through which the temporal reality is actualized, where continuity is hidden from observation in the metaphysical world and discreteness is manifested explicitly in the physical world. Three dimensions of time — Present, Past and Future — are discussed, as a result of which it is stated that in the primary way time is found as an attribute of consciousness and only in the secondary way it correlates with phenomenological reality. New differentiations of time are revealed: interval Present, embracing as a universum other moduses of the Present, and two- component time in the form of cyclic and linear components which allow us to make a justified positive conclusion about the existence of transcendental subjectivity, being the basis of absolute temporality. (shrink)

This collection of essays is unlike others in the field of African studies, for it is based on three very precisely delineated focal points: a particular geographical region, the sub-Sahara; specific modes of cultural production, literature and cinema; and a focus on works of French expression. This three-fold approach to exploring the relationships between power and culture in a non-Western environment greatly contributes to making this book unique from a variety of perspectives: African, Francophone and postcolonial studies, as well as (...) cross-disciplinary, cultural, transnational and diasporic studies. Moreover, the book offers deft and innovative analyses that move beyond the rhetoric of crises on the African continent we so very often hear of, so as to present a critical reflection on the subject at hand that is specific to the sub-Sahara and at the same time intimately linked to global culture, economy and politics. The authors' three-fold approach also presupposes that disciplinary compartmentalization increases power conflicts in academia. If only in part, compartmentalization is the result of antagonistic and competitive relations between specialization and multidisciplinary education. This book is thus a modest attempt at presenting an alternative to excessively fixed and homogeneous academic frontiers while considering that disciplinary expertise remains a must. Keeping in mind that an increasing number of scholars in Anglophone Postcolonial studies and Francophone African studies have been attempting for quite some time now to open interstices and build crossroads that can better connect them to each other, keeping in mind that these scholars work at revealing mechanisms by which any antagonistic discourses can mix, influence, act upon or react to one another, this book seeks to take a constructive step in establishing enduring grounds for multidisciplinary, cross-disciplinary and transnational academic research and collaboration. (shrink)

Retrospective issues: the discursive approach to genre and the misdirection film -- -- The truth is out there: manufacturing conspiratorial narrative coherence -- Constructing the (im)perfect cover: masculine masquerade and narrative agency -- -- Start making sense: narrative complexity, DVD, and online fandom -- The masters of misdirection: branding M. Night Shyamalan and Christopher Nolan -- Genre prestige: the misdirection film as blockbuster and middlebrow art -- Conclusion.

This book explores the shared experiential ground of cinema, art, and architecture. Pallasmaa carefully examines how the classic directors Alfred Hitchcock, Stanley Kubrick, Michelangelo Antonioni, and Andrei Tarkovsky used architectural imagery to create emotional states in their movies. He also explores the startling similarities between the landscapes of painting and those of movies.

In Time, Existential Presence and the Cinematic Image, Sam B. Girgus relates Laura Mulvey's theory of 'delayed cinema' to ideas on time and the relationship to the other in the writings of Jean-Luc Nancy, Emmanuel Levinas and Julia Kristeva, among others. The sustained tension in film between, in Mulvey's phrase, 'stillness and the moving image' enacts a drama of existential emergence. The stillness of the framed image in relation to the moving image opens 'free' cinematic time and (...) space for a fresh engagement with crucial ethical and cultural issues. With close readings of films such as The Bicycle Thieves, Two Days, One Night, The Three Burials of Melquiades Estrada, The Revenant and The Age of Innocence, this book proposes a fresh approach to reading film in the context of emerging existential presence and the ethical imperative. (shrink)

This article describes the debate about space and time in the early modern period focusing on the exchange between Gottfried Leibniz and Isaac Newton. It provides a brief account of Galileo's critique of medieval cosmology, the finite, two-sphere cosmos with fixed places as well as a beginning and an end in time, the related account of motion as finite and in need of an external agent, and the too-limited use of geometry in mechanics. The article reviews (...) in some detail the achievements of Leibniz and Newton in order to make clear the differences in their views about space and time, construed in mathematical, metaphysical, and physical terms as they emerged in the Leibniz/Clarke correspondence. (shrink)

From Inception to The Lake House, moviegoers are increasingly flocking to narratologically complex puzzle films. These puzzle movies borrow techniques--like fragmented spatio-temporal reality, time loops, unstable characters with split identities or unreliable narrators--more commonly attributed to art cinema and independent films. The essays in Hollywood Puzzle Films examine the appropriation of puzzle film techniques by contemporary Hollywood dramas and blockbusters through questions of narrative, time, and altered realities. Analyzing movies like Source Code, The Butterfly Effect, Donnie Darko, Déjà (...) Vu, and adaptations of Philip K. Dick, contributors explore the implications of Hollywood's new movie mind games. (shrink)

In Newtonian physics, all phenomena take place in absolute space, which is a fixed scenario, and are referred to absolute time, which rules all processes. Motion is governed by a set of basic differential equations, and it is possible, at least in principle, to deduce future events from present initial conditions.

Hyperlink cinema is an emergent film genre that seeks to push the boundaries of the medium in order to mirror contemporary life in the globalized community. Films in the genre thus create an interacting network across space and time in such a way as to suggest that people’s lives can intersect on scales that would not have been possible without modern technologies of travel and communication. This allows us to test the hypothesis that new kinds of media might (...) permit us to break through the natural cognitive constraints that limit the number and quality of social relationships we can manage in the conventional face-to-face world. We used network analysis to test this hypothesis with data from 12 hyperlink films, using 10 motion pictures from a more conventional film genre as a control. We found few differences between hyperlink cinema films and the control genre, and few differences between hyperlink cinema films and either the real world or classical drama (e.g., Shakespeare’s plays). Conversation group size seems to be especially resilient to alteration. It seems that, despite many efficiency advantages, modern media are unable to circumvent the constraints imposed by our evolved psychology. (shrink)

Drawing upon the expertise of film scholars from around the world, Puzzle Films investigates a number of films that sport complex storytelling--from Memento, ...

A “frame of reference” is a standard relative to which motion and rest may be measured; any set of points or objects that are at rest relative to one another enables us, in principle, to describe the relative motions of bodies. A frame of reference is therefore a purely kinematical device, for the geometrical description of motion without regard to the masses or forces involved. A dynamical account of motion leads to the idea of an “inertial frame,” (...) or a reference frame relative to which motions have distinguished dynamical properties. For that reason an inertial frame has to be understood as a spatial reference frame together with some means of measuring time, so that uniform motions can be distinguished from accelerated motions. The laws of Newtonian dynamics provide a simple definition: an inertial frame is a reference-frame with a time-scale, relative to which the motion of a body not subject to forces is always rectilinear and uniform, accelerations are always proportional to and in the direction of applied forces, and applied forces are always met with equal and opposite reactions. It follows that, in an inertial frame, the center of mass of a system of bodies is always at rest or in uniform motion. It also follows that any other frame of reference moving uniformly relative to an inertial frame is also an inertial frame. For example, in Newtonian celestial mechanics, taking the “fixed stars” as a frame of reference, we can determine an inertial frame whose center is the center of mass of the solar system; relative to this frame, every acceleration of every planet can be accounted for as a gravitational interaction with some other planet in accord with Newton 's laws of motion. (shrink)

In Marx’s analysis of capitalism, time and motion are central to the dynamics of the system. In the twenty-first century, capital deployed new forms of technology and logistical planning to increase profits and reduce the circulation phase of the turnover time of capital. The introduction of fibre optic cable, data centres, the transformation of the warehouse into a site of movement, the rise of third-party logistics (3PL) firms, and improvements in infrastructure all promoted ‘the annihilation of (...) class='Hi'>space by time’ in the effort to increase profitability. As increased velocity of value became central to capital, the system in turn became more vulnerable to disruption by labour. (shrink)

The disciplinary enterprises engaged in the study of consciousness now extend beyond their original paradigms providing additional knowledge toward an overall understanding of the fundamental meaning and scope of consciousness. A new transdisciplinary domain has resulted from the syncretism of several approaches bringing about a new paradigm. The background for this overarching enterprise draws from a variety of traditions. In this paper however elaboration is restricted to the quantum-mechanical account in David Bohm’s theoretical work in relation to his ideas about (...) “active information”, “protointelligence”, and “non-locality”. This leads to an adapted version of Bohm’s thesis concerning the implicate order and explicate order of the Universe - the Impression Order and the Expression Order, respectively. On this view, the Universe is formed on an actual-material level, the apparent properties of things, and a potential-material level, a constant process of becoming that exerts an attractive force on the present. The central thesis emerges from a radical reformulation of certain core concepts that transforms many ontological assumptions about the material basis of consciousness. That is, the above platform inclusively connects to a hypothesis that the concepts of ‘space’, ‘time’, ‘event’, and ‘motion’ can be unified to capture the notion of simultaneous activity at reducing levels to the Impression order. This notion coheres with a physical-theoretical model of Signature-Energy-Frequency which has been well demonstrated in the atomic, chemical, and information fields. This study embraces a holistic and creative worldview based on a triadic model wherein consciousness itself is postulated as the most basic, primordial stratum. Importantly, both orders are constantly conjoined since the Impression Order exists as potential energy of the quantum vacuum. The physical realm is formed by the proposed Triangulate-Three conditions as a principle of animation and ‘being’: Consciousness, Body-of-Experience and Intellect-Reflective in the Expression Order, one aspect of which emerge as lifelike properties. This Triangulate-Three principle inheres in every particle and organism to which it guides its development, adaptation, and survival. The conscious being thus possesses all three conditions in Expression Order through STEM-interactions via SEF transmissions, as a self-organising organism. (shrink)

Tracing the many aesthetic, philosophical, and technological parallels between cinema and astronomy, Hannah Goodwin demonstrates how filmmakers have used cosmic imagery and themes to respond to the twentieth century's moments of existential dread. As our outlook on the future continues to change, Stardust illuminates the promise of cinema to bear witness to humanity's fragile existence within the vast expanse of the universe.

"Die Begriffe Raum und Zeit stellen massgebliche Propositionen des Denkens von Wirklichkeit dar. Sie gelten als Grundvoraussetzung allen ontologischen und epistemologischen Denkens. Während beide Begriffe in Europa als absolut gedacht wurden und somit zur Schaffung von Differenz beigetragen haben, hat es in China weder eine Trennung noch eine Absolutsetzung beider gegeben. Dieser Band vereint Beiträge aus unterschiedlichen disziplinären Positionen, die aus ihren jeweiligen Perspektiven die Zusammenhänge von Zeit, Raum und Wirklichkeit(en) in China untersuchen."--Back cover.

L'espace-temps du cinéma est un piège, une bonne occasion d'ouvrir, une fois encore, la retraite de l'espace à l'empire du temps. La peinture n'avait pas le temps, le cinéma l'a pris. La " théorie ", avec André Bazin, a, pour mieux assurer cette propriété, inventé le " hors-champ ". La pensée, aujourd'hui, doit se soumettre à la règle de cette ordonnance sous peine de se retrouver " hors-jeu ". Mais le cinéma, lui, obéit-il à cette loi paternelle? Que fait-il lorsqu'il (...) s'échappe dans la cour de sa récréation? Renoir, lorsqu'il a couru tout autour de la cour, dans Le Crime de monsieur Lange, et Hitchcock, lorsqu'il a, dans Fenêtre sur cour, condamné l'imprudence d'un homme qui, à la lettre, se mêlait de ce qui ne le regardait pas, avaient-ils l'œil ailleurs? Ou encore, avec Lang ou Straub, n'avaient-ils pas compris qu'il était plus important de rajouter un " hors-d'œuvre " à leur menu que de contempler voire d'adorer la Tunique " sans couture " de la réalité? (shrink)

The epistemological rupture of Copernicus, the laws of planetary motions of Kepler, the comprehensive physical observations of Galileo and Huygens, the conception of relativity, and the physical theory of Newton were components of an extremely fertile and influential cognitive environment that prompted the restless Leibniz to shape an innovative theory of space and time. This theory expressed some of the concerns and intuitions of the scientific community of the seventeenth century, in particular the scientific group of the Academy (...) of Sciences of Paris, but remained relatively unknown until the twentieth century. After Einstein, however, the relational theory of Leibniz gained wider respect and fame. The aim of this article is to explain how Leibniz foresaw relativity, through his critique of contemporary mechanistic philosophy. (shrink)

The content of this paper is primarily the product of an attempt to understand consciousness by working through the Gestell - conventionalised epistemology, at least some of several foundational concepts. This paper indirectly addresses the ancient question: “How is objective reference – or intentionality, possible? How is it possible for one thing to direct its thoughts upon another thing?” As such, I have adopted a holistic methodology; one in which I develop a framework based on a form of process philosophy (...) and descriptive emergentism. Many of the problems associated within the philosophy of mind arise because of a failure to understand the interrelations among the concepts we employ when we talk about consciousness and perception. These concepts are generally associated with certain structural features of reality. Hence, the paper advances through a series of attempts at defining the concept of time, moving through to some of the central figures, their thoughts and arguments and problems associated within the philosophy of time. Given the intertwined nature of the associated concepts, I have expanded on these to a level of conceptual integration. (shrink)

A discussion of Einstein's great theory of the universe, the theory of relativity, covering the factors of space, motion, time, energy, inertia, and gravity.

In view of the primacy assigned to the 'present' in traditional metaphysics, in terms of the ways in which questions about existence are expressed, the following discussion takes the question of the temporalizing of the present as its theme. This involves unravelling the historical traces of the thought of the present as a finite, closed, objective point of a successive continuum of discrete moments (a real oscillation between the now and the not-now) by returning to the phenomenological sense of the (...) present as the stretching out of an opening – the 'living Present' (lebendige Gegenwart) – which bears its continuity of presence and non-presence within itself (without restriction to linearity). The transition itself suggests something like a quantum-leap and, in another sense, it also extends beyond the bounds of this simile (and the discontinuity that is implied) by evoking the image of a 'twist' or a 'turn.’ In order to grasp the significance of this turn we shall first examine – re turn to – its main obstacle: the concept of time as a linear and corpuscular continuum. The traditional model of time as a succession of 'now-points' (a notion that 1 still infects discourse on temporality) has always undermined our understanding of 'presence' as that which maintains itself (abides) through succession. In effect, presence must be 'maintained' [maintenant] within the 'now.' Yet, if the 'now' is constantly shifting into non-being through its replacement by a new 'now' then presence must be infused with its own negation and a certain discontinuity. How is it possible, then, to speak of the 'persistence' of 'identity' as something unitary (simultaneous with itself) existing through plurality and successive fragmentation into non-being? Furthermore, in reference to motion, what is entailed in the possibility of experiencing the transition of a selfsame (particular) object from one spatial location to another: how is it that the object 'endures' through its spatial and temporal transition? Since antiquity the question of simultaneity has been taken for granted – generally being consigned to mere spatial models.. (shrink)

Welche Relevanz haben Raum und Räumlichkeit in den verschiedenen Disziplinen und Wissensgebieten? Auf diese gegenwärtig stark diskutierte Frage, deren Beantwortung nicht selten in interdisziplinäre Grundsatzdebatten mündet, versuchen die hier versammelten Beiträge eine konstruktive Antwort zu geben. In detaillierten Einzeldarstellungen, geordnet nach Forschungsfeldern, die von der Ästhetik und der Architektur über die Musikwissenschaft und die Mathematik bis hin zur Physik und Theologie reichen, wird der gegenwärtige Stand der Überlegungen und Methoden jeweils kritisch rekapituliert und mittels konkreter Fallanalysen veranschaulicht. Entstanden ist ein (...) Kompendium, das umfassend über die gegenwärtige Forschungslage der Raumtheorie in ihren vielfältigen Anwendungsgebieten informiert. (shrink)

Most research on metaphors that construe time as motion (motion metaphors of time) has focused on the question of whether it is the times or the person experiencing them (ego) that moves. This paper focuses on the equally important distinction between metaphors that locate times relative to ego (the ego-based metaphors Moving Ego and Moving Time) and a metaphor that locates times relative to other times (sequence is relative position on a path). Rather than a (...) single abstract target domain TIME, these two kinds of temporal metaphor metaphorize different kinds of temporal concept—perspective-specific vs. perspective-neutral temporal concepts. Recognition of this distinction enhances the explanatory potential of conceptual metaphor theory (Lakoff and Johnson 1980). An example involves the interaction of deixis and the temporal reference crosslinguistically of vocabulary with the spatial meanings in-front and behind. More generally, this approach refines our ability to describe the temporal concepts involved in motion metaphors of time. Such temporal concepts are present not only in the target domains, but also in the source domains of motion metaphors of time, where we find space-to-time metonymy, which may play a role in motivating the metaphors. In order to distinguish such metonymy from metaphor, we need to characterize metaphor as a mapping across frames rather than domains. (shrink)

Rethinking “philosophy” to-day, it is necessary to think first of all about ontological foundations of the modern scientific universe description and rethink them on the ground of modern scientific knowledge, because until now there is no any precise scientific conception of the structure of the universe, of reasons and movingforces of its permanent evolution. All of it create basis to propose various unscientific ideas of creationism. Until now most of philosophers associate the motion of Matter on the whole only (...) with its motion in space and in time, mixing philosophical and physical aspects of these two principle categories. Generally speaking, the present-day ontological model of understanding the World, the Universe is constructed purely on the basis of only these two fundamental categories. However, a more deep reflection of the essence of Being, if to realize it on the basis of only these two global categories, brings us to the disappointing conclusion, that in this case we have nothing more except a mechanical motion, i.e. spatial displacement of a material point (or a system of points) relatively some point of counting off. To make it normal and logic we should add to the ontological model one more essential part – the motion in quality. So, in order to create the full and complete picture of the formation and evolution of the material World it is necessary to observe the motion of material forming in the three equivalentphilosophical categories: in space time quality. The ideas of the new conception of ontological model become actual supplementation of really scientific philosophical knowledge on the way of a more objective ontological comprehension of our Being, of the law of development of the human civilization and the Universe as a whole. This knowledge can be successfully used for the description of the realistic paradigm of Being, in explanations of the meaning of Life. (shrink)

This book presents fresh interpretations of Gottfried Leibniz's theories of time, space, and the relativity of motion, based on a thorough examination of Leibniz's manuscripts as well as his published papers. These are analysed in historical context, but also with an eye to their contemporary relevance.

The picture which one naturally presents of the situation is that which would arise before an observer placed outside the earth, who could watch the light wave starting from the central mirror and pursuing the distant mirror, catching up with it at some distance beyond the point at which it was when the light wave started. In this case the observer is able to locate the points at which the parts of the apparatus were at different moments and to measure (...) the distances between. We could simulate this situation on the earth by assuming an enclosed square car, from some point in which two balls were shot out in directions at right angles to each other to the walls of the car, bounding back to the point at which they started. We will assume that the balls move with uniform velocity going and coming, and we will assume that the car is moving. An observer outside the car who marked the point on the rail directly over the starting point and the points reached by the balls when they struck the sides of the car, and then measured the distances which the balls travelled, would find that the ball which travelled with the car covered a greater distance than that traversed by the ball which went at right angles to the direction of the train, and yet the balls would return to the starting point at the same moment, provided they travelled over both their paths at the same velocity during their entire trajects, i.e., the same velocity measured within the car. The observer would be at no difficulty to explain this, for he would see that the velocity in the direction of its motion of the car had to be added to that of balls within the car. That is not the case of the light wave. The velocity of a moving shining body is not added to that of the light wave. The wave motion being set up in ether travels with its own uniform velocity of approximately 300,000 kilometers a second. The light waves then, from the standpoint of the observer outside the earth, traverse through the stagnant ether different distances at a uniform velocity and yet the ether waves exhibit on their return none of the evidence which they should exhibit in the interferometer. (shrink)

In Part 2, drawing on the results of Part 1, I will present my own interpretation of Leibniz’s philosophy of space and time. As regards Leibniz’s theory of geometry and space, De Risi’s excellent work appeared in 2007, so I will depend on this work. However, he does not deal with Leibniz’s view on time, and moreover, he seems to misunderstand the essential part of Leibniz’s view on time. Therefore I will begin with Richard Arthur’s (...) paper, and J. A. Cover’s improvement. Despite some valuable insights contained in their papers, I have to conclude their attempts fail in one way or another, because they disregard the order of state-transition of a monad, which is, on my view, one of the essential features of the monads. By reexamining Leibniz’s important text Initia Rerum, I arrived at the following interpretation. Since the realm of monads is timeless, the order of state-transition of a monad provides only the basis of time in phenomena. What Leibniz calls “simultaneity” should be understood as a unique 1- to-1 correspondence of the states of different monads. With this understanding, whatever is correct in Arthur’s and Cover’s interpretation can be reproduced in my interpretation. On this basis, we can introduce a metric of time based on congruence of duration. Leibniz connected time with space in Initia Rerum by means of motion, and introduced the notion of path of a moving point; thus the congruence of duration can be reduced to congruence of distance. Then, I can show both classical metric and relativistic metric can be reconstructed on the same basis, depending on the coding for phenomena. The relativistic metric can be combined with Leibniz’s idea of internal living force, suggesting a relation of mass with energy. However, since Leibniz has never shown the ground of constant speed of an inertial motion, there may be a vicious circle. In order to avoid this, we can extend the notion of path to whole situation, thus yielding a trajectory of the whole phenomenal world. Then, by applying optimality to possible paths, we may arrive at the law of motion, without vicious circle. A comparison of Leibniz’s dynamics with Barbour’s concludes Part 2. (shrink)

In Part 2, drawing on the results of Part 1, I will present my own interpretation of Leibniz’s philosophy of space and time. As regards Leibniz’s theory of geometry and space, De Risi’s excellent work appeared in 2007, so I will depend on this work. However, he does not deal with Leibniz’s view on time, and moreover, he seems to misunderstand the essential part of Leibniz’s view on time. Therefore I will begin with Richard Arthur’s (...) paper, and J. A. Cover’s improvement. Despite some valuable insights contained in their papers, I have to conclude their attempts fail in one way or another, because they disregard the order of state-transition of a monad, which is, on my view, one of the essential features of the monads. By reexamining Leibniz’s important text Initia Rerum, I arrived at the following interpretation. Since the realm of monads is timeless, the order of state-transition of a monad provides only the basis of time in phenomena. What Leibniz calls “simultaneity” should be understood as a unique 1-to-1 correspondence of the states of different monads. With this understanding, whatever is correct in Arthur’s and Cover’s interpretation can be reproduced in my interpretation. On this basis, we can introduce a metric of time based on congruence of duration. Leibniz connected time with space in Initia Rerum by means of motion, and introduced the notion of path of a moving point; thus the congruence of duration can be reduced to congruence of distance. Then, I can show both classical metric and relativistic metric can be reconstructed on the same basis, depending on the coding for phenomena. The relativistic metric can be combined with Leibniz’s idea of internal living force, suggesting a relation of mass with energy. However, since Leibniz has never shown the ground of constant speed of an inertial motion, there may be a vicious circle. In order to avoid this, we can extend the notion of path to whole situation, thus yielding a trajectory of the whole phenomenal world. Then, by applying optimality to possible paths, we may arrive at the law of motion, without vicious circle. A comparison of Leibniz’s dynamics with Barbour’s concludes Part 2. (shrink)

The most reliable source for a reconstruction of Galileo's progress toward a science of motion is the series of undated fragmentary notes on that subject preserved in Codex A of the Galilean manuscripts at Florence. A gathering of such fragments was published by Favaro in the National Edition of Galileo's works, following the Discorsi. The more sophisticated fragments are clearly associated with the composition of that work, and show a definite and consistent understanding of acceleration. Eliminating those, it will (...) be found that the earlier notes fall into recognizable groups. First, there are some that refer to “moment of gravity”, or to the impetus of a body along a line of descent, and are associated with the discussion of inclined planes in De motu. Second, some refer to descent along arcs and chords of circles, associated with Galileo's letter of 29 November 1602 to Guido Ubaldo. These first two groups of notes do not explicitly refer to accelerated motion, and should not be assumed to do so implicity, where such an assumption can be avoided. (shrink)

The concept of time is examined using the second law of thermodynamics that was recently formulated as an equation of motion. According to the statistical notion of increasing entropy, flows of energy diminish differences between energy densities that form space. The flow of energy is identified with the flow of time. The non-Euclidean energy landscape, i.e. the curved space–time, is in evolution when energy is flowing down along gradients and levelling the density differences. The (...) flows along the steepest descents, i.e. geodesics are obtained from the principle of least action for mechanics, electrodynamics and quantum mechanics. The arrow of time, associated with the expansion of the Universe, identifies with grand dispersal of energy when high-energy densities transform by various mechanisms to lower densities in energy and eventually to ever-diluting electromagnetic radiation. Likewise, time in a quantum system takes an increment forwards in the detection-associated dissipative transformation when the stationary-state system begins to evolve pictured as the wave function collapse. The energy dispersal is understood to underlie causality so that an energy gradient is a cause and the resulting energy flow is an effect. The account on causality by the concepts of physics does not imply determinism; on the contrary, evolution of space–time as a causal chain of events is non-deterministic. (shrink)

Among the dubious theses "proved" by the author of this classic example of pseudo-scientific literature are: relativistic physics is incorrect, the quantum theory is incorrect, "the success of quantum theory is purely mathematical," time, like space, has three dimensions, inductance and mass are equivalent, there is such a thing as absolute motion, and "All properties which are possessed by either space or time individually are.... properties of both space and time." What makes this (...) book unusual is the fact that the immense number of citations and footnotes refer to almost all of the important books and articles in the field of the philosophical foundations of physics. Larson therefore has accomplished one outstanding task: he has succeeded in immersing himself in some of the most philosophically and scientifically compelling literature of recent times and has emerged unscathed by a single intelligible idea.—H. P. K. (shrink)

Time, space and matter are the most pervasive and inescapable aspects of the physical universe. And yet, notwithstanding the fact that they represent the most fundamental and ubiquitous characteristics of reality, they have always presented elements of mystery to the human mind. Thus on the level of common thought we ponder how the withering hand of time reaches from out the past into the future to bring decay and destruction to all things; and on the more sophisticated (...) level, after the fashion of Immanuel Kant, we are puzzled by certain antinomies of thought concerning the necessity for an origin, and an end, of the universe in time and space, in the face of the equally necessary reasons for regarding the universe as being unlimited in its space and time dimensions. In either case, however, we are paying tribute to the tantalizing nature of these problems concerning the cosmic framework of space-time-matter in which we live, and move, and have our being. Indeed, it is not too much to say that genuine philosophy took its origin in Zeno's paradoxes of motion, and will have its final consummation when it solves Kant's antinomies. (shrink)

The idea of obtaining a pilot-wave quantum theory on a lattice with discrete time is presented. The motion of quantum particles is described by a \-distributed Markov chain. Stochastic matrices of the process are found by the discrete version of the least-action principle. Probability currents are the consequence of Hamilton’s principle and the stochasticity of the Markov process is minimized. As an example, stochastic motion of single particles in a double-slit experiment is examined.

Although Descartes’ natural philosophy marked an important advance in the development of modern science, many of his specific concepts of science have been largely discarded, and consequently neglected, since their introduction in the seventeenth century. Many critics over the years, such as Newton (in his early paper De gravitatione), have presented a series of apparently devastating arguments against Descartes' theory of space and motion; a generally negative historical verdict which, moreover, most contemporary scholars accept. Nevertheless, it is also (...) true that most historians and philosophers of science have not sufficiently investigated the viability and effectiveness of the case against Cartesian space and motion. This book explores the success of the arguments against Descartes’ theory of space and motion by determining if it is possible to formulate a Cartesian theory of science that can avoid the problems raised by Newton, as well as by a host of other past and contemporary philosophers either sympathetic or hostile to the overall design of Cartesian science. In particular, if Descartes' theory of motion can be reconciled with his hypotheses on dynamics, then a Cartesian can successfully resolve the difficulties imposed by his critics. This book comprises, therefore, a sustained attempt to construct a consistent “Cartesian” spacetime theory: i.e., a theory of space and time that incorporates Descartes’ various theories of physics and nature without falling into the kinds of problems and contradictions as charged by, for example, Newton. (shrink)

This article discusses Michel Serres's topological thinking and his approach to space and time from a film studies perspective, specifically looking at connections between Serresian philosophy and the work of Christopher Nolan, using Dunkirk (2017) as an example of folded time. The article provides a selective overview of Serres's topological thinking, which opposes a geometrical approach to space and time, as well as indicating connections between Serresian thought and film studies more broadly. Serres makes frequent (...) use of visual metaphors that rely upon motion, which means discussing Serres's philosophy in relation to film can be a purposeful way to make sense of his topological thinking about spatialized time. Serresian philosophy can bring new ideas to film studies while discussion of Serres's thinking from a film studies perspective can help to visualize some of his philosophical ideas. The article considers similarities with, and distinctions from, Gilles Deleuze's understanding of time in cinema, which is modelled on the work of Henri Bergson. One essential difference is that Serres approaches topological time in relation to space whereas Deleuze only considers topological aspects to time through the virtual qualities of the non-spatialized time-image. Key aims of the article are to contribute to film studies through the application of Serresian thinking in relation to Dunkirk as well as offering a new approach to the recurrent themes of space and time in Nolan's work. The main objective is to present Serresian topological thinking as an alternative approach to space and time in film studies, which includes the capability to potentially complement or enhance ideas developed by Deleuze and Bergson. In keeping with Serresian philosophy this article pursues a new way of thinking about folded time in relation to film, based upon exploring new territory and synthesizing ideas rather than attempting to present a universal argument. (shrink)

In his epic Paradise Lost, John Milton aims at a philosophically and theologically sound theodicy in order to “justify the ways of God to men”1. Milton’s approach has been criticised for creating an unsolvable tension between God’s foreknowledge and man’s free will and responsibility. The article wants to show that this criticism turns out to be unjustified if the philosophical basis behind the epic is thoroughly examined. Milton draws heavily on St. Augustine’s ontology: Every kind of being depends on its (...) intrinsic goodness insofar as it really is what it is by nature. God himself is the ultimate goodness: Therefore he is not subject to change, but transcends space and time. In his perfection, he cannot lack any kind of knowledge, but knows all things in an atemporal manner, without depriving men and women of their capability of free choice and action, for these are the distinct features that constitute the goodness of human nature. The crucial question of the article is why, according to Augustine and Milton, God’s foreknowledge should not at all be confused with fated determinism. (shrink)

Since antiquity, natural philosophers have struggled to comprehend the nature of three tightly interconnected concepts: space, time, and motion. A proper understanding of motion, in particular, has been seen to be crucial for deciding questions about the natures of space and time, and their interconnections. Since the time of Newton and Leibniz, philosophers’ struggles to comprehend these concepts have often appeared to take the form of a dispute between absolute conceptions of space, (...) time and motion, and relational conceptions. This article guides the reader through some of the history of these philosophical struggles. Rather than taking sides in the (alleged) ongoing debates, or reproducing the standard dialectic recounted in most introductory texts, we have chosen to scrutinize carefully the history of the thinking of the canonical participants in these debates — principally Descartes, Newton, Leibniz, Mach and Einstein. Readers interested in following up either the historical questions or current debates about the natures of space, time and motion will find ample links and references scattered through the discussion and in the Other Internet Resources section below. (shrink)

For much of this century it was widely assumed in philosophical circles that the relational doctrine of space, time, and motion had finally been established beyond the point of reasonable controversy. In large part this was due to a widespread perception that the theory of relativity is itself a relational theory. Indeed, some of Einstein’s own pronouncements foster this impression. For example, in his definitive formulation of general relativity of 1916, he argued the need for a generalization (...) of the principle of special relativity in order to eliminate the “factitious” causal role he saw inertial frames playing in classical mechanics and special relativity. ‘The laws of physics must be of such a nature that they apply to systems of reference in any kind of motion’. Einstein claimed this requirement is fulfilled by satisfaction of the Principle of General Covariance—that the equations expressing the laws of nature remain valid under arbitrary coordinate substitutions. This, he says, ‘takes away from space and time the last remnant of physical objectivity.’. (shrink)