Contemporary psychiatry faces serious challenges because it has failed to incorporate accumulated knowledge from basic neuroscience, neurophilosophy, and brain–mind relation studies. As a consequence, it has limited explanatory power, and effective treatment options are hard to come by. A new conceptual framework for understanding mental health based on underlying neurobiological spatial-temporal mechanisms of mental disorders (already gained by the experimental studies) is beginning to emerge.

What is the relationship between space and time in the human mind? Studies in adults show an asymmetric relationship between mental representations of these basic dimensions of experience: Representations of time depend on space more than representations of space depend on time. Here we investigated the relationship between space and time in the developing mind. Native Greek‐speaking children watched movies of two animals traveling along parallel paths for different distances or durations and (...) judged the spatial and temporal aspects of these events (e.g., Which animal went for a longer distance, or a longer time?). Results showed a reliable cross‐dimensional asymmetry. For the same stimuli, spatial information influenced temporal judgments more than temporal information influenced spatial judgments. This pattern was robust to variations in the age of the participants and the type of linguistic framing used to elicit responses. This finding demonstrates a continuity between space‐time representations in children and adults, and informs theories of analog magnitude representation. (shrink)

Unsurpassed among books on space and time in terms of its insights and clarity, this volume by a world-famous mathematician can be appreciated by lay readers as ...

We have, however, as the title of the book would suggest, dealt mainly with space and time, introducing mechanical and electromagnetic considerations only when ...

It is argued that physics must eventually expand to accommodate mind and consciousness but that this will require a new paradigm. The paradigm required will impinge on two problems on the borders of physics and philosophy: the relationship between physical space and perceptual space and the nature of the passage of time. It is argued that the resolution of both these problems may involve a 5-dimensional model, with the 5th dimension being associated with mental time, and (...) this proposal may relate to recent developments in brane cosmology. A description of consciousness must also entail a proper understanding of the specious present, the minimum timescale of conscious experience, this possibly being associated with a compactified extra dimension. There could even be a hierarchy of levels of consciousness, associated with a hierarchy of extra dimensions. (shrink)

Europe: The Space and Time of ReflectionOn the Complutense Research Group La Europa de la Escritura.

We are accustomed to thinking of space and time as particulars or individuals—even if we should hesitate to describe them as things or objects or substances. We say ‘space has three dimensions’, ‘material things occupy space’, ‘the debris has disappeared into space’ and we talk in a comparable fashion about time. Not only do we think of space and time as individuals but, in many connections at any rate, we think of them (...) as unique individuals. When we talk about spaces and times in the plural, when we say ‘fill up the spaces on the form’, ‘it could go in the space between the lamp and the door’, ‘there were peaceful times in the early years of their marriage’ we think of these multiple spaces and times as parts of the unique allencompassing space and the unique all-encompassing time. Kant believed that we could not help thinking of them in this way. We do, at any rate, in fact think like this and it is this conviction that I want to examine. (shrink)

THE AUTHOR DISCUSSES SIMULTANEITY, ABSOLUTE SPACE AND TIME, THE NUMBER OF POSSIBLE DIMENSIONS, CAUSALITY, RIVAL SCIENTIFIC THEORIES OF THE SPATIO-TEMPORAL PROPERTIES OF THE UNIVERSE AND THE MEANING OF SPATIO-TEMPORAL TERMS IN ORDINARY AND SCIENTIFIC LANGUAGE. (BP, EDITED).

The effective reasoning capability of an agent can be defined as its capability to infer, within a given space and time bound, facts that are logical consequences of its knowledge base. In this paper we show how to determine the effective reasoning capability of an agent with limited memory by encoding the agent as a transition system and automatically verifying whether a state where the agent believes a certain conclusion is reachable from the start state. We present experimental (...) results using the Model Based Planner (MBP) which illustrates how the length of the deduction varies for different memory sizes. (shrink)

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be (...) preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Hume's Treatise arguments concerning space, time, and geometry, especially ones involving his denial of infinite divisibility; have suffered harsh criticism. I show that in the section "Of the ideas of space and time," Hume gives important characterizations of his skeptical approach, in some respects Pyrrhonian, that will be developed in the rest of the Treatise. When that approach is better understood, the force of Hume's arguments can be appreciated, and the influential criticisms of them can be (...) seen to miss the mark. (shrink)

Kedrov has reminded us that the development of knowledge proceeds from appearance to essence. That was also true of the development of notions about space and time. Leibniz, for example, defined space as the order of things existing at the same time. However, that definition is rather superficial, and it is only the development of physics, specifically relativity theory, which made it possible to penetrate more deeply into the nature of space and time and (...) to ascribe a precise and mathematically expressible notion to the well-known judgment to the effect that space and time are forms of the existence of matter. (shrink)

Understanding Hume’s theory of space and time requires suspending our own. When theorizing, we think of space as one huge array of locations, which external objects might or might not occupy. Time adds another dimension to this vast array. For Hume, in contrast, space is extension in general, where being extended is having parts arranged one right next to the other like the pearls on a necklace. Time is duration in general, where having duration (...) is having parts occurring one aft er another like the notes of a song. Hume’s diff erent view stems from his empiricism, his reliance on experience and observation as the foundation of our concepts. Nothing in our experience suggests a single vast array of locations. Rather, we simply notice that bodies are similar insofar as they have lengths that can be compared. Likewise, nothing in our experience suggests a single dimension of time. Rather, we simply notice that diff erent successions are similar insofar as they have durations that can be compared. Th eorizing that these observations show there to be a single multidimensional array goes well beyond the evidence for Hume. As a skeptic, he fi nds himself unable to assent to theories that stray too far beyond the deliverances of the senses. For Hume, the ideas of space and time are each a general idea of simple—partless— objects arrayed in a certain manner. He argues that the structures of the ideas of space and time refl ect the structures of space and time. Th erefore, space and time are not infi - nitely divisible, and they are ways simple objects are arrayed. Consequently, there is no such thing as empty space nor time without change. (shrink)

Textbooks present classical particle and field physics as theories of physical systems situated in Newtonian absolute space. This absolute space has an influence on the evolution of physical processes, and can therefore be seen as a physical system itself; it is substantival. It turns out to be possible, however, to interpret the classical theories in another way. According to this rival interpretation, spatiotemporal position is a property of physical systems, and there is no substantival spacetime. The traditional objection (...) that such a relationist view could not cope with the existence of inertial effects and other manifestations of the causal efficacy of spacetime can be answered successfully. According to the new point of view, the spacetime manifold of classical physics is a purely representational device. It represents possible locations of physical objects or events; but these locations are physical properties inherent in the physical objects or events themselves and having no existence independently of them. In relativistic quantum field theory the physical meaning of the spacetime manifold becomes even less tangible. Not only does the manifold lose its status as a substantival container, but also its function as a representation of spacetime properties possessed by physical systems becomes problematic. 'Space and time' become ordering parameters in the web of properties of physical systems. They seem to regain their traditional meaning only in the non-relativistic limit in which the classical particle concept becomes approximately applicable. (shrink)

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

I will sketch a possible way of empirical/operational definition of space and time tags of physical events, without logical or operational circularities and with a minimal number of conventional elements. As it turns out, the task is not trivial; and the analysis of the problem leads to a few surprising conclusions.

Abstract.Russell Stannard distinguishes between objective time as measured in theoretical physics and subjective time, or time as experienced by human beings in normal consciousness. Because objective time, or four‐dimensional space‐time for the physicist, does not change but exists all at once, Stannard argues that this is presumably how God views time from eternity which is beyond time. We human beings are limited to experiencing the moments of time successively and thus cannot (...) know the future as already existing in the same way that God does. I argue that Stannard is basically correct in his theological assumptions about God's understanding of time but that his explanation would be more persuasive within the context of a neo‐Whiteheadian metaphysics. The key points in that metaphysics are (1) that creation is contained within the structured field of activity proper to the three divine persons of the Christian doctrine of the Trinity and (2) that the spontaneous decisions of creatures are continually ordered and reordered into an ever‐expanding totality already known in its fullness by the divine persons. (shrink)

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)

This book celebrates the investigative power of phenomenology to explore the phenomenological sense of space and time in conjunction with the phenomenology of intentionality, the invisible, the sacred, and the mystical. It examines the course of life through its ontopoietic genesis, opening the cosmic sphere to logos. The work also explores, on the one hand, the intellectual drive to locate our cosmic position in the universe and, on the other, the pull toward the infinite. It intertwines science and (...) its grounding principles with imagination in order to make sense of the infinite. This work is the first of a two-part work that contains papers presented at the 62nd International Congress of Phenomenology, The Forces of the Cosmos and the Ontopoietic Genesis of Life, held in Paris, France, August 2012. It features the work of scholars in such diverse disciplines as biology, anthropology, pedagogy, and psychology who philosophically investigate the cosmic origins of beingness. Coverage in this first part includes: Toward a New Enlightenment: Metaphysics as Philosophy of Life, Transformation in Phenomenology: Husserl and Tymieniecka, Biologically Organized Quantum Vacuum and the Cosmic Origin of Cellular Life, Plotinus "Enneads" and Self-Creation, The Creative Potential of Humor, Transcendental Morphology - A Phenomenological Interpretation of Human and Non-Human Cosmos, and Cognition and Emotion: From Dichotomy to Ambiguity.. (shrink)

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

This paper investigates a famous argument, first introduced by Richard Taylor, that attempts to establish a radical similarity in the concepts of space and time. The argument contends that the spatial and temporal aspects of material bodies are much more alike, or analogous, than has been hitherto acknowledged. As will be demonstrated, most of the previous investigations of Taylor and company have failed to pinpoint the weakest link in their complex of analogies. By concentrating on their most fundamental (...) cases, however, a substantial difference, or disanalogy, can be brought to light that undermines this purported equivalence of space and time. (shrink)

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

Quantum gravity is expected to require modifications of the notions of space and time. I discuss and clarify how this happens in Loop Quantum Gravity.

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

This concise book introduces nonphysicists to the core philosophical issues surrounding the nature and structure of space and time, and is also an ideal resource for physicists interested in the conceptual foundations of space-time theory. Tim Maudlin's broad historical overview examines Aristotelian and Newtonian accounts of space and time, and traces how Galileo's conceptions of relativity and space-time led to Einstein's special and general theories of relativity. Maudlin explains special relativity using a (...) geometrical approach, emphasizing intrinsic space-time structure rather than coordinate systems or reference frames. He gives readers enough detail about special relativity to solve concrete physical problems while presenting general relativity in a more qualitative way, with an informative discussion of the geometrization of gravity, the bending of light, and black holes. Additional topics include the Twins Paradox, the physical aspects of the Lorentz-FitzGerald contraction, the constancy of the speed of light, time travel, the direction of time, and more.Introduces nonphysicists to the philosophical foundations of space-time theory Provides a broad historical overview, from Aristotle to Einstein Explains special relativity geometrically, emphasizing the intrinsic structure of space-time Covers the Twins Paradox, Galilean relativity, time travel, and more Requires only basic algebra and no formal knowledge of physics. (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)

Space and time are geometrical notions that Sophie Germain, a French mathematician, discusses on several occasions in her Pensées diverses, however not only in a geometrical way but also in terms of a philosophical and moral understanding: she speaks of a human’s lifespan, the space they occupy, their place in creation and the knowledge toward which they always aim. This mixture of mathematical and philosophical thinking brings out Germain’s dream: she wants to apply the language of numbers (...) to moral and political issues. As such this chapter aims to examine Germain’s mathematical understanding of space and time in order to discover her moral theory. Furthermore, in a purely hypothetical context (because one does not know which authors she has read), I compare Germain’s moral thinking to Pascal’s moral and mathematical thoughts in Pensées. We underline the possible inspiration by Pascal by highlighting the similarities between these authors concerning space and time, which both treat mathematically and philosophically. These authors agree that time and space can be measured, and thus provide constant and mathematically uniform elements. At the same time, time and space provide the framework for moral thinking. The latter is not “capable” of enjoying the present moment; he is on a quest for the future. For Germain, this results into knowledge, but for Pascal, this is a sign of an unhappy life in which people do not find rest and are constantly looking for a diversion. (shrink)

In the Critique of Pure Reason Kant appears to make incompatible claims regarding the unitary natures of what he takes to be our a priori representations of space and time. I argue that these representations are unitary independently of all synthesis and explain how this avoids problems encountered by other positions regarding the Transcendental Deduction and its relation to the Transcendental Aesthetic in that work. Central is the claim that these representations (1) contain, when characterized as intuitions and (...) considered as prior to any affections of sensibility, only an infinitude of merely possible finite spatial and temporal representations, and (2) are representations that are merely transcendental grounds for the possibilities for receiving or generating finite representations in sensibility that are determined (immediately, in the case of reception) by means of syntheses that accord with the categories. (shrink)

Information space and time in their socio-cultural dimension act as knowledge components of being, and, consequently, the most important regulator of social relations. At the same time, the social and cultural dominants of the information space and time are determined by the creative activity of a person. In principle, a person is always focused on knowledge, where its elements interact in a comprehensive way, and not on information, in which there is a separation of its (...) elements from the spiritually observed cross-section of reality, and thus from reality, which does not lend itself to the construction of connections, and the construction somewhat reduces the elasticity of the structure of information space and time. (shrink)

An investigation of the views on space and time of the Russian polymath Pavel Florensky. After a brief account of his life, I study Florensky’s conception of time in The Meaning of Idealism, where he first confronts Einstein’s theory of special relativity, comparing it to Plato’s metaphor of the Cave and Goethe’s myth of the Mothers. Later, in his Analysis of spatiality and time, Florensky speaks of a person’s biography as a four-dimensional unity, in which the (...) temporal coordinate is examined in sections. In On the Imaginaries in Geometry, Florensky argues that the speed of light is not, as in Relativity, an absolute speed limit in the universe. When bodies approach and then surpass the speed of light, they are transformed into unextended, eternal Platonic forms. Beyond this point, time runs in reverse, effects precede their causes, and efficient causality is transformed into final or teleological causality, a concept on which Florensky elaborates in his Iconostasis. Florensky thus transformed the findings of Einsteinian relativity in order to make room for Plato’s intelligible Ideas, the Aristotelian distinction between a changing realm of earth and the immutable realm of the heavens, and the notion of teleology or final causation. His notion that man can approximate God’s vision of past, present and future all at once, as if from above, is reminiscent of Boethius’ ideas. (shrink)

This chapter contains section titled: Extension and Duration Hume's Reply to the Paradox of Composition Hume's Arguments for the Finite Divisibility of Perceptions (T 1.2.1) The Coherence of Hume's Account The Idea of Equality (T 1.2.4) The Infinite Divisibility of Objects (T 1.2.2) Manners of Disposition (T 1.2.3) The Simplicity of the Soul (T 1.4.5) The Idea of Vacuum (T 1.2.5) Hume's Account of Contiguity (T 1.1.5, 1.3.8, 2.3.7) Notes References Further reading.