Starting from the overwhelming view that time is metaphorically conceptualized in terms of space, this study will, on the one hand, take the time interval words into minute analysis to confirm our view of event conceptualization of time at a more basic level along with space–time metaphoric conceptualization of time at a relational level. In alignment with the epistemology of the time–space conflation of the Chinese ancestors, our view is supported by (...) the systematic examination of evidence related to the cultural origins of the conceptualization of time, through a scrutiny of the original meanings and construction of words related to intervals of time in Mandarin Chinese. This study offers a new explanation of how: the conceptualization of time in Chinese is realized through metonymic cognition and words related to specific intervals of time are coined based on the metonymic conceptualization of related events or a corresponding event schema. Five major types of event-based metonymies are identified, and their interactive functions are illustrated. Based on this evidence, we argue that the double nature of both metaphoric and metonymic time conceptualization in Mandarin Chinese lies in the fact that time interval words can be used in its time categorial sense or as a time entity which suggests the etymological origins of Chinese as ideograph. It is concluded therefore that the event-based metonymy conceptualization of time can provide better insights into the characteristics of Chinese modes of thinking and its influences on the perception of and interaction with the world. This study can also serve as good evidence for the shaping effect of language on cognition. (shrink)

Mathematically, the fusion of space and time may be explained as follows. In pre-relativity physics, space was envisaged as a three-dimensional Euclidean continuum. Such a continuum is homogeneous and isotropic, and its metrical character can be specified by the definition of the distance between any two points in the continuum: s2 = 2 + 2 + 2. Now, while it is possible to speak of a four-dimensional continuum in pre-relativity physics by adding the time-coordinate to the (...) three space-coordinates, there is no way, corresponding to the definition of s, to define the spatio-temporal "separation" or "interval" between any two points in this new four-dimensional continuum. Thus, while it makes sense from the classical point of view to ask for the distance between two points in space, it does not make sense to ask for the spatio-temporal interval between two events occurring in different places at different times. The spatio-temporal interval between non-simultaneous, spatially separated events is simply not defined in pre-relativity physics. Another way of putting it is that in classical physics space and time are measured in entirely disparate units and no method is provided for making these units comparable with one another. In relativity physics, on the other hand, light--or rather the velocity of light--provides the means for making the results of spatial and temporal measurement comparable quantities: one simply multiplies the time-like intervals by c, the fixed velocity of light, in order to obtain space-like intervals. The interval between any two events is defined as: s2 = 2 + 2 + 2 - c22. Interval, so defined, is an invariant, whereas spatial and temporal "separation" are now relative to the state of motion of the observer. The geometry of the four-dimensional continuum characterized by this formula is called "semi-Euclidean". (shrink)

This book presents an elementary but complete exposition of the relativistic theory of the measurement of intervals in space & time.

This chapter discusses the causal requirements on perceptual success in putative cases of the perception of absence – in particular, in cases of hearing silence and seeing darkness. It is argued that the key to providing the right account of the respect in which we can perceive silence and darkness lies in providing the right account of the respect in which we can have conscious perceptual contact with intervals of time and regions of space within which objects (...) can potentially be perceived. In this account, a significant explanatory role is assigned to comparatively invariant structural features of our conscious experience of regions of space and intervals of time. The chapter discusses how the explanatory role assigned to these structural features affects our view of the causal requirements on perceptual success. (shrink)

A passenger boards a fast train. It takes her some distance, makes a u-turn, and returns to the starting platform. She reports that according to her clock, the trip took n seconds. An observer who remained behind on the platform gets a different reading. Using his clock, he records a longer time interval m. These claims are compatible with the clocks being in perfect order. Modern Physics tells us that time is relative. The duration of the trip, understood (...) as the temporal distance between the departure and the return events, will depend on the chosen frame of reference. The passenger and the observer belong to different frames. This is the source of the discrepancy. Suppose that the passenger and the observer speak a language that is like ours with possible differences arising from the assumption that no one in their community knows about modern physics. Let us call this language '19th Century English'. Imagine that the agents, in different conversations, utter sentences (1) and (2) respectively. (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)

I explain in what sense the structure of space and time is probably vague or indefinite, a notion I define. This leads to the mathematical representation of location in space and time by a vague interval. From this, a principle of complementary inaccuracy between spatial location and velocity is derived, and its relation to the Uncertainty Principle discussed. In addition, even if the laws of nature are deterministic, the behaviour of systems will be random to some (...) degree. These and other considerations draw classical physics closer to Quantum Mechanics. An arrow of entropy is also derived, given an arrow of time. Lastly, chaos is given an additional, objective meaning. (shrink)

At the end of the sixth volume of The Life and Opinions of Tristram Shandy, Laurence Sterne’s irremediably digressive narrator looks back over the story he has told so far. He presents to the reader five horizontal lines drawn on the page, each of which is the line taken by the narrative in one of the preceding five volumes of the novel.1 Each of the lines is interrupted at intervals by a series of fantastical loops and squiggles, darting forward (...) or back for anticipations and flashbacks, dented by brief subplots, or ballooning outward in wild-goose chases, extended commentaries, and stories within stories. He claims his storytelling is improving: while his distraction in the first volume “led us a vagary some. (shrink)

Cinema, like language, can be said to exist as a system of differences. In his latest book, acclaimed philosopher Jacques Rancière looks at cinematic art in comparison to its corollary forms in literature and theatre. From literature, he argues, cinema takes its narrative conventions, while at the same time effacing literature’s images and philosophy; and film rejects theatre, while also fulfilling theatre’s dream. Built on these contradictions, the cinema is the real, material space in which one is moved (...) by the spectacle of shadows. Thus, for Rancière, film is the perpetually disappointed dream of a language of images. (shrink)

Professor Lucas has written what is perhaps the most trenchant, sophisticated, and comprehensive treatise on time and space to have appeared in a long while. The book is distinguished not only by its acute treatment of the mathematical and physical concepts constituting its subject but also by a meditative quality all too rare in philosophical works dealing with the unquestionably fundamental and complex themes of time and space. The book is a phenomenology or morphology of (...) class='Hi'>time and space in that it is a foundational analysis of the philosophical, mathematical, physical, logical, and theological aspects of our understanding of these concepts. The work is organized into five general sections each of which is internally refined with a keen sense of what is essential to the particular context of discussion. The first section investigates "Time by Itself" through reference to such notions as instant and interval, the topology and direction of time, cyclic time, permanence and omni-temporality, and the mathematical ideas of denseness and continuity. (shrink)

In this book authors for the first time introduce the notion of super interval matrices using special intervals. The advantage of using super interval matrices is that one can build only one vector space using m × n interval matrices, but in case of super interval matrices we can have several such spaces depending on the partition on the interval matrix.

In lieu of an abstract, here is a brief excerpt of the content:Diacritics 31.3 (2001) 30-56 [Access article in PDF] The Priceless IntervalTheory in the Global Interstice Reingard Nethersole In a poignant scene in Goethe's Faust [1.2038-39] an eager student seeking what we would call curriculum advice today asks what subjects he should study. Counseled by Mephisto in the guise of the master, Faust, the student is admonished to read for anything but theory because: "Grey, my friend, is all theory, (...) / Green alone is life's golden tree." Uttered from within the epitome of an ivory tower image, a vaulted "gothic study," the advice gains rhetorical strength from alliterative, juxtaposed color metaphors which celebrate an organicist, holistic vision of life. Given current attitudes toward literary theory, many enthusiastic freshmen will receive similar guidance. Theoretical deliberation and mediation in the academy were not always popular, to be sure, but the resistance to theory was never as acute as it is now, when the very institutional space inhabited by thought is being curtailed largely because of financial considerations. Thus drawn into cost-benefit calculations that figure the student (in South Africa) as "client," the professor as "cost factor," and education as branded product, the University sees itself compelled, under the hegemony of the economic, to side with praxis in place of theory. "Doing" rather than thinking, action rather than reflection might have seemingly won the day, yet the controversy surrounding the relation between theory and literature on the one hand and theory and praxis on the other persists both inside and outside the academy.At the heart of a modern organization of knowledge, the dichotomy of theory and praxis is inscribed in Kant's Conflict of the Faculties. It will be remembered that Kant divided the domains of philosophy, theology, law, and medicine that constituted the University of his day into the "lower faculty," philosophy (lower from the point of view of government), and the "higher" faculties of theology, law, and medicine (higher because they are closer to government power). However, by granting philosophy (reason) implicit guardianship over the "higher faculties," lest these would revert to magical practices, Kant's Enlightenment philosophy placed a wedge between theory and praxis, a wedge that not only recast an ancient (Western) fissure between contemplation and action, a conscious I think and an active I do, but also opened a space for a troubled relationship between philosophy and the other faculties and between the faculties and state power—or as is the case today—economic power.Kant's university, of course, did not know the "humanities" of which history and literature were to become an integral part along with philosophy in the early nineteenth century, but by ranking reason below the utilitarian subjects or "faculties" while, at the same time, recognizing philosophy's preeminence as their imperative, Kant's positioning of thought/theory in relation to praxis 1 set up a tension between thinking and doing [End Page 30] that reverberates, for instance, in literary studies' perennial conflictual pairing between a "green" intuitive, untrammeled appreciation of literary texts and a "grey" theory. Moreover, supported by a particular modern, Western socioreligious structure (Protestantism) that values (bourgeois) industriousness or labor more than (aristocratic) leisure, the legacy of the "conflict of the faculties" implicates the connection between the university as institution of knowledge production in relation to the various domains of knowledge application and/or consumption.Concerned about the multiple changes that involve our being and acting in the world before an ever-expanding planetary horizon, which in turn profoundly alters the educational objective of institutions of higher learning in general and menaces such sites of thought as literary theory in particular, I shall, in the following, sketch the interval, a topos borrowed from musicological discourse, as a place for theory under global conditions. In addition I shall attempt to conjoin the disparate sides/sites of criticism and theory by cross-stitching Bill Readings's thoughts on the transformation of the university, descriptions of university "reform" currently under way in South Africa, and Goethe's text in order to illustrate the kind of subject/self produced by education or Bildung in contrast... (shrink)

In 1905 Albert Einstein, in a paper entitled “On the Electrodynamics of Moving Bodies”, as a solution to the disagreement between classical mechanics and the results of the Michelson's experiment, who showed the invariance of the speed of light in vacuum measured in different inertial reference systems, developed the theory of special relativity. In this essay Einstein expounded a theory that, instead of introducing a privileged system, required the revision of the concepts of space and time of classical (...) physics. Combining the principle of Galilean relativity, according to which the laws of physics are invariant in all inertial reference systems, with the physics of electromagnetism, according to which the speed of light in a vacuum is constant, Einstein concluded that time is no more than a relative measure, namely that whenever we have to do with speed equal to or close to that of light, time is no longer a variable absolute and independent of the reference system adopted, but depends on the variable position. This is what Einstein shows through the critical examination of the concept of simultaneity. The abandonment of the traditional conception of space and time based on the idea of a spatial continuum flowing through a temporal continuum coherently leads to the assumption of a space-time continuum in which distances and time intervals vary with the changing the reference system, and together vary, of course, all other sizes to those connected. (shrink)

Ordinary clocks do not measure time in the common and Newtonian sense, and there is a similar problem for spatial measurements due to effects of motion and gravitation. Einstein’s theories of relativity are based on the denial of the possibility of the ‘absolute’ measurements that would be required. Nevertheless, here it is shown how such measurements can be performed. For this purpose, a “light clock” (or equivalent) is linked with a “space-time odometer” that counts the zero crossings (...) in the field of the cosmic microwave background radiation. The readings of these two instruments allow to calculate the time interval and the length of their path in Euclidean space even in the presence of local variations in gravitational potential. (shrink)

... there are cases in which on the basis of a temporally extended content of consciousness a unitary apprehension takes place which is spread out over a temporal interval (the so-called specious present). ... That several successive tones yield a melody is possible only in this way, that the succession of psychical processes are united "forthwith" in a common structure.

Our article is an overview of a selection of findings in physics relating to the issue of time—we do not present in it any “time theory” of our own. After making some general remarks on the issue of time, we present historical outline and a brief description of the current state of time interval measurements. Subsequently, we go on to discuss certain (relating to the concept of time) consequences of both theories of relativity: special and (...) general. Here, time is a geometrical component of space-time continuum. Following section is dedicated to time in the so-called Hamiltonian formulations of the theory of particles, where it appears as a parameter of evolution. The last section contains remarks referring to certain attempts of going beyond the recognized physical theories relating to the question of time. (shrink)

Our article is an overview of a selection of findings in physics relating to the issue of time—we do not present in it any “time theory” of our own. After making some general remarks on the issue of time, we present historical outline and a brief description of the current state of time interval measurements. Subsequently, we go on to discuss certain (relating to the concept of time) consequences of both theories of relativity: special and (...) general. Here, time is a geometrical component of space-time continuum. Following section is dedicated to time in the so-called Hamiltonian formulations of the theory of particles, where it appears as a parameter of evolution. The last section contains remarks referring to certain attempts of going beyond the recognized physical theories relating to the question of time. (shrink)

Vagueness in event times pertains to the observation that one usually finds it difficult to slice the continuous flux of space-time into a series of events with clear-cut temporal boundaries. I argue that such vagueness originates from our ignorance of discrete changing points wherein states of affairs begin or cease to obtain. Applying the epistemic view on vagueness (Williamson 1994) to vagueness in event times, I contend that the lagging nature of knowledge prevents one from knowing the abrupt (...) changes taking place between contiguous minimal time intervals. In turn, vagueness in the conception of event times is construed in terms of epistemic modality (Jaszczolt 2009), viz. a gradation of a thinker’s epistemic certainty towards the occurrence of a physical change. (shrink)

SummaryThe effects of infant suckling patterns on the post-partum resumption of ovulation and on birth-spacing are investigated among the Gainj of highland New Guinea. Based on hormonal evidence, the median duration of lactational anovulation is 20·4 months, accounting for about 75% of the median interval between live birth and next successful conception. Throughout lactation, suckling episodes are short and frequent, the interval changing slowly over time, from 24 minutes in newborns to 80 minutes in 3-year olds. Maternal serum prolactin (...) concentrations decline in parallel with the changes in suckling patterns, approaching the level observed in non-nursing women by about 24 months post-partum. A path analysis indicates that the interval between suckling episodes is the principal determinant of maternal prolactin concentration, with time since parturition affecting prolactin secretion only in so far as it affects suckling frequency. The extremely prolonged contraceptive effect of breast-feeding in this population thus appears to be due to a slow decline in suckling frequency with time since parturition and absence of a decline over time in hypothalamic–pituitary responsiveness to the suckling stimulus. (shrink)

The coherence of autobiographical memories plays an important role in psychological well-being, as borne out by recent studies. This study aimed to advance this understanding by assessing whether coherence predicted depressive symptoms over time in adults. Further, it aimed to specify mediators through which this association might occur, namely psychological resources of self-esteem self-efficacy, meaning in life, and optimism. A sample of 160 participants completed surveys at three time-points spaced 1 week apart. The surveys contained measures of the (...) perceived coherence of life stories and autobiographical memories, psychological resources, and depressive symptoms. The results of a path analysis model, controlling for depressive symptoms at baseline, indicated that perceived causal coherence was the only unique predictor of later depressive symptoms, and that this occurred through positive self-concept, represented by self-esteem and self-efficacy. Limitations of the study include no examination of cultural background as a moderating factor and the short time-intervals. Overall, the findings provide further evidence that the perception of how events have unfolded and impacted on one's life and sense of self is particularly important in mitigating depressive symptoms. It extends on our understanding by showing this occurs through changes in self-concept. (shrink)

Presenting the history of space-time physics, from Newton to Einstein, as a philosophical development DiSalle reflects our increasing understanding of the connections between ideas of space and time and our physical knowledge. He suggests that philosophy's greatest impact on physics has come about, less by the influence of philosophical hypotheses, than by the philosophical analysis of concepts of space, time and motion, and the roles they play in our assumptions about physical objects and physical (...) measurements. This way of thinking leads to interpretations of the work of Newton and Einstein and the connections between them. It also offers ways of looking at old questions about a priori knowledge, the physical interpretation of mathematics, and the nature of conceptual change. Understanding Space-Time will interest readers in philosophy, history and philosophy of science, and physics, as well as readers interested in the relations between physics and philosophy. (shrink)

The nature and structure of time and time-intervals in physical, chemical and biological systems will be elucidated. The relation and dependence among time, energy and taking place of natural processes will be critically analyzed. The bio-processes taking place in nano-time intervals will be identified. Their relevance to nano-bio-science and nano-bio-technology will be developed and nano-time interval-aspect of nano-sciences and nano-technology will be advanced. -/- .

Branching space-time is a simple blend of relativity and indeterminism. Postulates and definitions rigorously describe the causal order relation between possible point events. The key postulate is a version of everything has a causal origin; key defined terms include history and choice point. Some elementary but helpful facts are proved. Application is made to the status of causal contemporaries of indeterministic events, to how splitting of histories happens, to indeterminism without choice, and to Einstein-Podolsky-Rosen distant correlations.

The contemporary view of the fundamental role of time in physics generally ignores its most obvious characteric, namely its flow. Studies in the foundations of relativistic mechanics during the past decade have shown that the dynamical evolution of a system can be treated in a manifestly covariant way, in terms of the solution of a system of canonical Hamilton type equations, by considering the space-time coordinates and momenta ofevents as its fundamental description. The evolution of the events, (...) as functions of a universal invariant world, or historical, time, traces out the world lines that represent the phenomena (e.g., particles) which are observed in the laboratory. The positions in time of each of the events, i.e., the time of their potential detection, are, in this framework, controlled by this universal parameter τ, the time at which they are generated (and may proceed in the positive or negative sense). We find that the notion of thestate of a system requires generalization; at any given τ, it involves information about the system at timest(τ) ≠ τ. The correlation of what may be measured att(τ) with what is generated at τ is necessarily quite rigid, and is related covariantly to the spacelike correlations found in interference experiments. We find, furthermore, that interaction with Maxwell electromagnetism leads back to a static picture of the world, with no real evolution. As a consequence of this result, and the requirement of gauge invariance for the quantum mechanical evolution equation, we conclude that electromagnetism is described by a pre-Maxwell field, whose τ-integral (or asymptotic behavior as τ → ∞) may be identified with the Maxwell field. We therefore consider the world of events in space time, interacting through τ-dependent pre-Maxwell fields, as far as electrodynamics is concerned, as the objective dynamical reality. Our perception of the world, through laboratory detectors and our eyes, are based onintegration over τ over intervals sufficiently large to obtain an aposteriori description of the phenomena which coincides with the Maxwell theory. Fundamental notions, such as the conservation of charge, rest on this construction. The decomposition of the common notion of time into two essentially different aspects, one associated with an unvarying flow, and the second with direct observation subject to dynamical modification, has profound philosophical consequences, of which we are able to explore here only a few. (shrink)

Space, Time, and Stuff is an attempt to show that physics is geometry: that the fundamental structure of the physical world is purely geometrical structure. Along the way, he examines some non-standard views about the structure of spacetime and its inhabitants, including the idea that space and time are pointless, the idea that quantum mechanics is a completely local theory, the idea that antiparticles are just particles travelling back in time, and the idea that (...) class='Hi'>time has no structure whatsoever. The main thrust of the book, however, is that there are good reasons to believe that spaces other than spacetime exist, and that it is the existence of these additional spaces that allows one to reduce all of physics to geometry. Philosophy, and metaphysics in particular, plays an important role here: the assumption that the fundamental laws of physics are simple in terms of the fundamental physical properties and relations is pivotal."--P. [4] of cover. (shrink)

In this book, Lawrence Sklar demonstrates the interdependence of science and philosophy by examining a number of crucial problems on the nature of space and ...

Marking a ground-breaking moment in the debate surrounding bodies and "body politics," Elizabeth Grosz's Space, Time and Perversion contends that only by resituating and rethinking the body will feminism and cultural analysis effect and unsettle the knowledges, disciplines and institutions which have controlled, regulated and managed the body both ideologically and materially. Exploring the fields of architecture, philosophy, and--in a controversial way--queer theory, Grosz shows how these fields have conceptually stripped bodies of their specificity, their corporeality, and the (...) vestigal traces of their production as bodies. Her tour de corpe investigates the work of Michel Foucault, Teresa de Lauretis, Gilles Deleuze, Judith Butler and Alphonso Lingis. Grosz considers their work by examining the ways in which the functioning of bodies transforms understandings of space and time, knowledge and desire. Begining with an exposition of the epistemological implications of bodily and sexual difference, Grosz examines the effects such knowledge have on the reception of meaning. She looks at the relationship between the knowledge of difference and the way that knowledge validates, affirms, avows and valorizes subjects. Grosz then extends this analysis to an investigation of the relationship between space, time, bodies and the spatial "arts" such as architecuture, urban planning and geography. In the last section, Grosz moves toward a radical consideration of bodies and their relationship to transgression and perversity. Controversially showing the ways in which "queer" theory fails to offer a truly transformative conception of bodies and their politics, Grosz finds "queer" a reactive category "which sees itself in opposition to a straight norm and thus defines itself in terms of this norm." Consequentially, "queer" theory inherits the acceptance of an entire range of sexual practices, without "asking what they share and without taking into account the profound tension that may exist among these practices." Grosz's Space, Time and Perversity is a diverse and incisive collection of essays from a renowned feminist philosopher. (shrink)

The aim of this book is to give an account of Einstein's work without introducing anything very technical in the way of mathematics, physics, or philosophy.

PREFACE: - BY his theory of relativity Albert Einstein has provoked a revolution of thought in physical science. The achievement consists essentially in this Einstein has succeeded in separating far more completely than hitherto the share of the observer and the share of external nature in the things we see happen. The perception of an object by an observer depends on his own situation and circumstances for example, distance will make it appear smaller and dimmer. We make allowance for this (...) almost unconsciously in interpreting what we see. But it now appears that the allowance made for the motion of the observer has hitherto been too crude a fact overlooked because in practice all observers share nearly the same motion, that of the earth. Physical space and time are found to be closely bound up with this motion of the observer and only an amorphous combination of the two is left inherent in the external world. When space and time are relegated to their proper source the observer the world of nature which remains appears strangely unfamiliar but it is in reality simplified, and the underlying unity of the principal phenomena is now clearly revealed. The deductions from this new outlook have, with one doubtful exception, been confirmed when tested by experiment. It is my aim to give an account of this work without intro ducing anything very technical in the way of mathematics, physics, or philosophy. The new view of space and time, so opposed to our habits of thought, must in any case demand unusual mental exercise. The results appear strange and the incongruity is not without a humorous side. For the first nine chapters the task is one of interpreting a clear-cut theory, accepted in all its essentials by a large and growing school of physicists although perhaps not everyone would accept the authors views of its meaning. Chapters x and xi deal with very recent advances, with regard to which opinion is more fluid. As for the last chapter, containing the authors specula tions on the meaning of nature, since it touches on the rudiments of a philosophical system, it is perhaps too sanguine to hope that it can ever be other than controversial. A non-mathematical presentation has necessary limitations and the reader who wishes to learn how certain exact result follow from Einsteins, or even Newtons, law of gravitation m bound to seek the reasons in a mathematical treatise. But thj limitation of range is perhaps less serious than the limitation of intrinsic truth. There is a relativity of truth, as there is a relativity of space. For is and IS-NOT though with Rule and Line And UP-AND-DOWK without, I could define, Alas It is not so simple. We abstract from the phenomena that which is peculiar to the position and motion of the observer but can we abstract that which is peculiar to the limited imagina tion of the human brain We think we can, but only in the symbolism of mathematics. As the language of a poet rings with a truth that eludes the clumsy explanations of his commentators, so the geometry of relativity in its perfect harmony expresses a truth of form and type in nature, which my bowdlerised version misses. But the mind is not content to leave scientific Truth in a dry husk of mathematical symbols, and demands that it shall be alloyed with familiar images. The mathematician, who handles x so lightly, may fairly be asked to state, not indeed the in scrutable meaning of a in nature, but the meaning which x conveys to him. Although primarily designed for readers without technical knowledge of the subject, it is hoped that the book may also appeal to those who have gone into the subject more deeply. A few notes have been added in the Appendix mainly to bridge the gap between this and more mathematical treatises, and to indicate the points of contact between the argument in the text and the parallel analytical investigation. It is impossible adequately to express my debt to con temporary literature and discussion... (shrink)

Prompted by the "Panel Discussion of Grünbaum's Philosophy of Science" (Philosophy of Science 36, December, 1969) and other recent literature, this essay ranges over major issues in the philosophy of space, time and space-time as well as over problems in the logic of ascertaining the falsity of a scientific hypothesis. The author's philosophy of geometry has recently been challenged along three main distinct lines as follows: (i) The Panel article by G. J. Massey calls for a (...) more precise and more coherent account of the Riemannian conception of an intrinsic as opposed to an extrinsic metric, which the author has invoked as his basis for the distinction between non-conventional and convention-laden ascriptions of metrical equality and inequality; (ii) the latter distinction has been claimed to suffer from the liabilities of the so-called "standard conception" of scientific theories [36]; and (iii) pursuant to H. Putnam's "An Examination of Grünbaum's Philosophy of Geometry" [56], J. Earman [16, 17] and R. Swinburne [65] have contended that the difference between intrinsic and extrinsic metrics is scientifically unilluminating, and that the associated distinction between non-conventional and convention-laden metrical comparisons does not have the kind of relevance to extant scientific theories that the author has claimed for it. The essay consists of two installments. The present installment, comprising the Introduction and Part A, is devoted to the clarification, correction and further development of the author's prior writings on the philosophy of geometry. Its main objective is constructive elaboration rather than offering polemics. But rebuttals to Earman, [16, 17], Swinburne [65] and Demopoulos [13] are included, because their inclusion conduced to clarity in giving the new exposition. Part B is to appear in a subsequent issue and will be devoted to replies to critiques contained in the Panel Discussion and in other recent literature. It will range over issues in the philosophy of geometry and in the logic of ascertaining the falsity of a scientific hypothesis. By way of merely elliptical anticipation of much more precise statements given in Part A, section 3(ii), the Introduction dissociates the notion of convention-ladenness developed in Part A from the quite different notion integral to the so-called "standard conception" of scientific theories. Thereby, the Introduction prepares the ground for seeing, as a corollary to Part A, section 3(ii), that the notion advocated in the present essay has nothing to fear from the following fact, noted by C. G. Hempel ([36]; cf. also his 1970 Carus Lectures): "even though a sentence may originally be introduced as true by stipulation, it soon joins the club of all other member-statements of the theory and becomes subject to revision in response to further empirical findings and theoretical developments." Part A, which begins with a fairly detailed table of contents, endeavors to meet the aforementioned three-fold challenge to the author's philosophy of geometry. Massey's call for the provision of clear and detailed characterizations of intrinsic and extrinsic metrics is answered with the invaluable aid rendered personally by Massey himself. These characterizations are shown to permit a precise explication of the portions of Riemann's Inaugural Dissertation relevant to (1) Riemann's brilliant anticipation of Einstein's dynamical conception of physical geometry, and (2) the author's philosophical characterization of the metrics and geometries of space, time, and space-time {section 2(c)}. A byproduct of the analysis is to raise two major philosophical doubts concerning Clifford's sketch of a so-called "space-theory of matter" as elaborated in J. A. Wheeler's relativistic geometrodynamics. That theory's vision of understanding matter as a manifestation of empty curved space is questioned in regard to (1) the existence of an intra-geometrodynamic basis for individuating the metrically homogeneous world points of its space-time manifold {section 1(a)}, and (2) the compatibility of the theory with the Riemannian metrical philosophy apparently espoused by its proponents {section 2(c)(i)}. (shrink)

It is argued that Minkowski space-time cannot serve as the deep structure within a ``constructive'' version of the special theory of relativity, contrary to widespread opinion in the philosophical community.

In this thesis I present a phenomenological investigation of our experience of time – of things as they fall within time – and suggest that something important goes missing in recent debates. This is the notion of a point of view. I believe that articulating the sense in which we have a point of view in time, and what this is a point of view upon, is crucial to an account of how things are for an experiencing (...) subject. In the first chapter, I elucidate the specious present. I argue that theorists appeal to the specious present under two guises without explicitly distinguishing between them; yet these two conceptions are not identical, while one entails the other the reverse is not true. In the second chapter I defend an appeal to the specious present against proponents of what I refer to as snapshot models of temporal experience. I argue that perceptual experience minimally presents something of some non-zero temporal extent as such. In the third chapter I discuss how we are to characterise experience over intervals of time of a greater extent than the specious present. I offer a proposal on which a subject is invariably presented with a positive temporal extent, with this interval marking the partition between the past and the future for the subject. In the fourth chapter I compare and contrast our experience of objects and events, and our experiential point of view in space and in time. Among other things, I argue that getting right how things are for the subject requires an appeal to the subject’s asymmetrical awareness of times either side of the specious present. In fifth and final chapter I demonstrate that appeal to an experiencing subject’s tensed temporal perspective can explain the sense in which time seems to pass. (shrink)

INTRODUCTION In Einstein's theory of gravitation matter and its dynamical interaction are based on the notion of an intrinsic geometric structure of the space -time continuum. The ideal aspiration, the ultimate aim, of the theory is not more and ...

The paper gives a physicist's view on the framework of branching space-time, 385--434). Branching models are constructed from physical state assignments. The models are then employed to give a formal semantics for the modal operators ``possibly'' and ``necessarily'' and for the counterfactual conditional. The resulting formal language can be used to analyze quantum correlation experiments. As an application sketch, Stapp's premises LOC1 and LOC2 from his purported proof of non-locality, 300--304) are analyzed.

This paper offers a comparative study of abnormalities in the experience of space, time, and general atmosphere in three psychiatric conditions: schizophrenia, melancholia, and mania. It is a companion piece to our previous article entitled 'Varieties of Self- Experience'; here we focus on experiences of the world rather than of the self. As before, we are especially interested in similarities but also in some subtle distinctions in the forms of subjectivity associated with these three conditions. As before, we (...) survey phenomenologicallyoriented clinical and theoretical accounts as well as patient reports. Experiences involving forms of alienation from the practical and social world and a sense of uncanniness seem to be common in both schizophrenia and affective disorders. But despite some significant similarities, changes in schizophrenic subjectivity appear to be more pervasive and profound, involving experiences of fragmentation, meaninglessess, and ineffable strangeness that are rare or absent in the affective disorders. (shrink)

Conditional automated driving [level 3, Society of Automotive Engineers ] requires drivers to take over the vehicle when an automated system’s failure occurs or is about to leave its operational design domain. Two-stage warning systems, which warn drivers in two steps, can be a promising method to guide drivers in preparing for the takeover. However, the proper time intervals of two-stage warning systems that allow drivers with different personalities to prepare for the takeover remain unclear. This study explored (...) the optimal time intervals of two-stage warning systems with insights into the drivers’ neuroticism personality. A total of 32 drivers were distributed into two groups according to their self-ratings in neuroticism. Each driver experienced takeover under the two-stage warning systems with four time intervals. The takeover performance and subjective opinions for time intervals and situation awareness were recorded. The results showed that drivers in the 5-s time interval had the best takeover preparation. Furthermore, both the 5- and 7-s time intervals resulted in more rapid takeover reactions and were rated more appropriate and useful than the 3- and 9-s time intervals. In terms of personality, drivers with high neuroticism tended to take over immediately after receiving takeover messages, at the cost of SA deficiency. In contrast, drivers with low neuroticism responded safely by judging whether they gained enough SA. We concluded that the 5-s time interval was optimal for drivers in two-stage takeover warning systems. When considering personality, drivers with low neuroticism had no strict requirements for time intervals. However, the extended time intervals were favorable for drivers with high neuroticism in developing SA. The present findings have reference implications for designers and engineers to set the time intervals of two-stage warning systems according to the neuroticism personality of drivers. (shrink)

Several reaction time (RT) studies report faster responses when responses to temporal information are arranged in a spatially congruent manner than when this arrangement is incongruent. The resulting space–time congruency effect is commonly attributed to a culturally salient localization of temporal information along a mental timeline (e.g., a mental timeline that runs from left to right). The present study aims to provide a compilation of the published RT studies on this time–space association in order to (...) estimate the size of its effect and the extent of potential publication bias in this field of research. In this meta-analysis, three types of task are distinguished due to hitherto existing empirical findings. These findings suggest that the extent to which time is made relevant to the experimental task has a systematic impact on whether or not the mental timeline is activated. The results of this meta-analysis corroborate these considerations: First, experiments that make time a task-relevant dimension have a mean effect size of d = 0.46. Second, in experiments in which time is task irrelevant, the effect size does not significantly deviate from zero. Third, temporal priming studies have a surprisingly high mean effect size of d = 0.47, which, however, should be adjusted to d = 0.36 due to publication bias. (shrink)

Earman and Norton argue that manifold realism leads to inequivalence of Leibniz-shifted space-time models, with undesirable consequences such as indeterminism. I respond that intrinsic axiomatization of space-time geometry shows the variant models to be isomorphic with respect to the physically meaningful geometric predicates, and therefore certainly physically equivalent because no theory can characterize its models more closely than this. The contrary philosophical arguments involve confusions about identity and representation of space-time points, fostered by extrinsic (...) coordinate formulations and irrelevant modal metaphysics. I conclude that neither the revived Einstein hole argument nor the original Leibniz indiscernibility argument have any force against manifold realism. (shrink)

What is the role of language in constructing knowledge? In this article, we ask whether learning new relational language can create new ways of thinking. In Experiment 1, we taught English speakers to talk about time using new vertical linguistic metaphors, saying things like “breakfast is above dinner” or “breakfast is below dinner”. In Experiment 2, rather than teaching people new metaphors, we relied on the left–right representations of time that our American college student participants have already internalized (...) through a lifetime of visuospatial experience reading and writing text from left to right. In both experiments, we asked whether the representations are susceptible to verbal interference. We found that learning new metaphors created new space–time associations that could be detected in a nonlinguistic implicit association task; these newly learned representations were not susceptible to verbal interference; and with respect to both verbal and visual interference, representations newly learned from linguistic metaphor behaved just like those on the left–right axis that our participants had acquired through years of visuospatial experience. Taken together, these results suggest that learning new relational language can be a powerful tool in constructing new representations and expanding our cognitive repertoire. (shrink)

In this paper I present the Discrete Space-Time Thesis, in a way which enables me to defend it against various well-known objections, and which extends to the discrete versions of Special and General Relativity with only minor difficulties. The point of this presentation is not to convince readers that space-time really is discrete but rather to convince them that we do not yet know whether or not it is. Having argued that it is an open question (...) whether or not space-time is discrete, I then turn to some possible empirical evidence, which we do not yet have. This evidence is based on some slight differences between commonly occurring differential equations and their discrete analogs. (shrink)