An assessment of the similarities and differences between space and time has played an important part in the development of the views of a number of philosophers about time. Examples of statements about time are compared with allegedly corresponding statements about space to give us analogies and disanalogies according to whether the statements have the same or different truth values. But what are the general principles on which such comparisons are based? In particular, according to what criteria are corresponding sentences (...) paired off? Are there any such general criteria? And if so, do they already presuppose a substantial commitment to one or other of the points of view at issue where analogies and disanalogies are discussed? This paper is concerned with two specific proposals for criteria of correspondence, one due to Richard Gale (1968, 1969) and James Garson (1969), which is rejected, and the other tentatively advanced in its place. (shrink)

To what extent is time similar to space? in this paper it is shown that the claim, Made by richard taylor among others, That time and space are "radically alike" is unfounded. This claim can be supported only by employing the notion of temporal parts. It is shown that if objects are regarded as having temporal parts as well as spatial parts, Then serious disanalogies exist between time and space. Furthermore, If objects are said to have temporal (...) parts, Then it must also be held that time is in a very important sense "prior" to space and this that time and space are not only unlike in certain respects but indeed are radically dissimilar. Moreover, The so-Called "manifold theory of time" necessarily makes use of the notion of temporal parts and therefore should hold that time and space are quite unlike. But since an important part of the manifold theory of time is the claim that time and space are very much alike, This theory is to that extent not satisfactory. (shrink)

This volume explores Husserl's theory of sensibility and his conceptualization of spatial and temporal constitution. The author maps the linkages between Husserl's 'transcendental aesthetic', the theory of pure experience in empirio-criticism, as well as Immanuel Kant's transcendental philosophy. The core argument in this analysis centers on the relationship between spatiality and temporality in Husserl's philosophy. The study interrogates Husserl's understanding of the relationship between spatiality and temporality in terms of stratifications, analogies and parallelisms. It incorporates a discussion of the (...) potentialities and limitations of such an understanding. It concludes that such limits can be overcome by adopting an understanding of spatiality and temporality as interwoven moments of sensible experience-a 'spatio-temporal intertwining'. This 'intertwining' is made explicit in a thorough inquiry into three central topics in the phenomenological analysis of sensible experience: spatio-temporal individuation, perspectival givenness and bodily experience. The book shows how such an inquiry can form the bedrock of a dynamic and relational understanding of experience as a whole. (shrink)

A nonlinear two-variable reaction-diffusion model of bone mineral metabolism, built from an overall self-oscillatory compartmental model of calcium metabolism in vivo, has been studied for its ability to generate spatial and spatio-temporal self-organizations in a two-dimensional space. Analytical and numerical results confirm the theoretical properties previously described for this kind of model. In particular, it is shown that, for a given set of reactional parameter values and certain values of the ratio of the two diffusion coefficients, there exists (...) a set of unstable wavenumbers leading spontaneously to the development, from the homogeneous steady state, of either different types of stationary spatial patterns (hexagonal, striped and re-entrant hexagonal patterns) or more or less complex spatio-temporal expressions. We discuss the relevance of analogies established between some spatial or spatio-temporal structures predicted by the model and some peculiar features of the primary bone trabecular architecture which appear during embryonic ossification. (shrink)

Leech et al.'s demonstration that analogical reasoning can be an emergent property of low-level incremental learning processes is critical for analogical theory. Along with insights into neural learning based on the salience of dynamic spatio-temporal structure, and the neural priming mechanism of repetition suppression, it establishes relational primacy as a plausible theoretical description of how brains make analogies.

A lot of people believe that distinct objects can occupy precisely the same place for the entire time during which they exist. Such people have to provide an answer to the 'grounding problem' – they have to explain how such things, alike in so many ways, nonetheless manage to fall under different sortals, or have different modal properties. I argue in detail that they cannot say that there is anything in virtue of which spatio-temporally coincident things have those properties. (...) However, I also argue that this may not be as bad as it looks, and that there is a way to make sense of the claim that such properties are primitive. (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 therein. The theory is divided into two major categories of sub-theories: (sub-) theories of type SPAN and (sub-)theories of type SNAP. These theories represent two complementary perspectives on reality and result in distinct though compatible systems of categories. In SNAP we have enduring entities such as substances, qualities, roles, functions; in SPAN we have perduring entities (...) such as processes and their parts and aggregates. We argue that both kinds of ontological theory are required in order to give a non-reductionism account of complex domains of reality. (shrink)

In this paper we consider a claim that in the natural world there is no fact of the matter about the spatio-temporal separation of events. In order to make sense of such a notion and construct useful models of the world, it is proposed to use elements of a non-classical logic. Specifically, we focus here on causality, as a concept tightly related with the assumption of there being distinct, separate events, proposing a model according to which it can (...) be considered to be spatio-temporally graded. It is outlined how this can be described using the formalism of fuzzy sets theory, with the degree of causality varying between 1, that is no separation between causes and effects, and 0, that is perfect separation between causes and their effects as in classical ’billiard balls’ models of physical systems, namely such based on the notion of ideal mathematical point. Our model posits that subjective moments of time are like fuzzy sets, with their extension determined by local degrees of causality, resulting from information integration processes extended gradually in space and time. This, we argue, is how a notion of causality could be, to a certain degree, spared and reconciled with a variant of Bergsonian duration theory as formulated in the theory of continuous change. Relation of the proposed viewpoint to other theories, as well as possible solutions it suggests to various problems, in particular the measurement problem, are also discussed. (shrink)

This paper presents an axiomatic formalization of a theory of top-level relations between three categories of entities: individuals, universals, and collections. We deal with a variety of relations between entities in these categories, including the sub-universal relation among universals and the parthood relation among individuals, as well as cross-categorial relations such as instantiation and membership. We show that an adequate understanding of the formal properties of such relations – in particular their behavior with respect to time – is critical for (...) geographic information processing. The axiomatic theory is developed using Isabelle, a computational system for implementing logical formalisms. All proofs are computer verified and the computational representation of the theory is available online. (shrink)

Through a literature analysis, this study proposes that the difference between scientific innovation and technological innovation has been ignored in the current research on the level of scientific and technological innovation and its influencing factors. Combined with multidimensional proximity and knowledge type of current research, a theoretical induction has been carried on their corresponding relation with scientific innovation and technological innovation, research hypotheses were proposed the multidimensional proximity effect on the mode and degree of scientific innovation and technological innovation, five (...) theoretical factors, which are the economic development level, regional economic structure, the level of opening to the outside world, science and technology input and education input, are proposed to affect the level of scientific innovation and technological innovation. In this study, the Yangtze River Delta region of China from 2001 to 2018 is selected as the research sample, and the two hypotheses proposed are tested through a mixed method of exploratory spatial data analysis and spatial panel econometric model. The main conclusions are as follows: i) As an exogenous variable, geographical proximity has a small impact on the level of scientific innovation, but a large impact on the level of technological innovation; ii) As endogenous variables, theoretical influencing factors may not play a significant role in the actual environment due to the complex influence of multidimensional proximity; iii) Based on the idea of improving multidimensional proximity and the actual situation of the region and the city, we can formulate policies conducive to improving the regional and urban innovation environment. (shrink)

We adapted the Bubbles procedure [Vis. Res. 41 (2001) 2261] to examine the effective use of information during the first 282 ms of face identification. Ten participants each viewed a total of 5100 faces sub-sampled in space–time. We obtained a clear pattern of effective use of information: the eye on the left side of the image became diagnostic between 47 and 94 ms after the onset of the stimulus; after 94 ms, both eyes were used effectively. This preference for the (...) eyes increased with practice, and was not solely due to the informativeness of the eyes for the task at hand. The bias for the eye on the left side of the image is explained in terms of hemispheric specialization. Although there were individual differences, most participants exhibited this pattern of effective use of information. An intriguing finding is that most participants displayed a clear sinusoidal modulation of effective use of attention through time with a frequency of about 10.6 Hz. (shrink)

This paper is a comparative study based on the linguistic evidence in Vedic Sanskrit and Homeric Greek, aimed at reconstructing the space-time cognitive models used in the Proto-Indo-European language in a diachronic perspective. While it has been widely recognized that ancient Indo-European languages construed earlier events as in front of later ones, as predicted in the Time-Reference-Point mapping, it is less clear how in the same languages the passage took place from this ‘archaic’ Time-RP model or non-deictic sequence, in which (...) future events are behind or follow the past ones in a temporal sequence, to the more recent ‘post-archaic’ Ego-RP model that is found only from the classical period onwards, in which the future is located in front and the past in back of a deictic observer. Data from the Rigveda and the Homeric poems show that an Ego-RP mapping with an ego-perspective frame of reference could not have existed yet at an early Indo-European stage. In particular, spatial terms of front and behind turn out to be used with reference not only to temporal events, but also to east and west respectively, thus presupposing the existence of an absolute field-based FoR which the temporal sequence is metaphorically related to. Specifically, sequence is relative position on a path appears to be motivated by what has been called day orientation frame, in which the different positions of the sun during the day motivate the mapping of front onto ‘earlier’ and behind onto ‘later’, without involving ego’s ‘now’. These findings suggest that early Indo-European still had not made use of spatio-temporal deixis based on the tense-related ego-perspective FoR found in modern languages. (shrink)

This paper argues that concepts of legality in legal theory can be profitably understood as being underwritten by modes of spatio-temporal objectification. In the first part of the paper, a scheme of such modes is provided, and a map of jurisprudential inquiries is thereby offered. In the second part of the paper, two concepts of legality – underwritten by two different modes of spatio-temporal objectification – are analysed. The analysis shows how both concepts of legality lead (...) to different sets of prescriptive resources as to the evaluation and design of legal systems. Finally, it is argued that the response of legal theory to practical challenges within the public sphere cannot afford to be based on any one concept of legality. Rather, we need to be pluralists about concepts of legality, recognising the limitations of any one such concept – represented, in this paper, by way of spatio-temporal objectification that underwrites those concepts. A crisis in legal theory can- not be claimed on the basis of any alleged lack of correspondence between any one concept of legality and reality. On the contrary, a crisis will ensue to the extent that legal theory becomes dominated by theoretical imperial- ism, namely, by the belief that any one concept of legality is capable of capturing the world as it is, and, therefore, also capable of standing as a foundation for a prescriptive agenda. The vice of theoretical imperialism in- duces anxiety over the identity of a discipline, and leads to a quelling of the very theoretical diversity that is required for an ethical response to the spe- cific complexity of the public sphere.Resumen:En este artículo se sostiene que los conceptos de legalidad, dentro de la teoría del derecho, pueden entenderse con mayor provecho si se piensa que están determinados por modos de objetivación espacio-temporal. En la primera parte se presenta un esquema de tales modos y, de esa manera, se ofrece un mapa de las investigaciones iusfilosóficas. En la segunda parte, se analizan dos conceptos de legalidad —determinados por dos modos diferentes de objetivación espacio-temporal—. El análisis muestra cómo ambos conceptos de legalidad conducen a diferentes conjuntos de fuentes prescriptivas para la evaluación y el diseño de los sistemas jurídicos. Finalmente, se sostiene que la respuesta de la teoría del derecho a los problemas prácticos del ámbito público no puede basarse en un solo concepto de legalidad. Por el contrario, es necesario ser pluralistas sobre los conceptos de legalidad y reconocer las limitaciones de cada uno de ellos —representados, en este ensayo, por la objetivación espacio-temporal que los suscribe—. No se puede asegurar que la teoría del derecho esté en crisis sobre la base de una presunta falta de correspondencia entre algún concepto de legalidad y la realidad. Por el contrario, aquella se generará en la medida en que la teoría del derecho llegue a estar dominada por un imperialismo teórico, a saber, por la creencia de que cualquier concepto de legalidad es capaz de capturar el mundo tal como es, y, por lo tanto, que es capaz de erigirse como fundamento para una agenda prescriptiva. El vicio de un imperialismo teórico induce una inquietud sobre la identidad de una disciplina, y conduce a sofocar la diversidad teórica que se requiere para dar una respuesta ética a la complejidad concreta del ámbito público. (shrink)

This paper argues that concepts of legality in legal theory can be profitably understood as being underwritten by modes of spatio-temporal objectification. In the first part of the paper, a scheme of such modes is provided, and a map of jurisprudential inquiries is thereby offered. In the second part of the paper, two concepts of legality - underwritten by two different modes of spatio-temporal objectification - are analysed. The analysis shows how both concepts of legality lead (...) to different sets of prescriptive resources as to the evaluation and design of legal systems. Finally, it is argued that the response of legal theory to practical challenges within the public sphere cannot afford to be based on any one concept of legality. Rather, we need to be pluralists about concepts of legality, recognising the limitations of any one such concept - represented, in this paper, by way of spatio-temporal objectification that underwrites those concepts. A crisis in legal theory cannot be claimed on the basis of any alleged lack of correspondence between any one concept of legality and reality. On the contrary, a crisis will ensue to the extent that legal theory becomes dominated by theoretical imperialism, namely, by the belief that any one concept of legality is capable of capturing the world as it is, and, therefore, also capable of standing as a foundation for a prescriptive agenda. The vice of theoretical imperialism induces anxiety over the identity of a discipline, and leads to a quelling of the very theoretical diversity that is required for an ethical response to the specific complexity of the public sphere. (shrink)

In this study I propose an epistemological discussion of multiple spatio-temporal scales in neuroscience. Are such scales merely convenient levels of description of structure and function, or do they correspond to irreducible levels of brain organization? What criteria should we employ in order to reduce one level to another, or to identify levels that are not reducible to others? Should we think of these criteria as based on empirical and/or theoretical reasons? Beginning with an empirical criterion – the (...) necessity of different experimental methodologies for the measurement of different phenomena in the same system – I summarize spatial and temporal scales currently used in neuroscience and discuss the possibility of a more general theoretical criterion. I conclude that multiscaling should be recognized as a central concept in the epistemology of neuroscience. (shrink)

We adapted the Bubbles procedure [Vis. Res. 41 (2001) 2261] to examine the effective use of information during the first 282 ms of face identification. Ten participants each viewed a total of 5100 faces sub-sampled in space–time. We obtained a clear pattern of effective use of information: the eye on the left side of the image became diagnostic between 47 and 94 ms after the onset of the stimulus; after 94 ms, both eyes were used effectively. This preference for the (...) eyes increased with practice, and was not solely due to the informativeness of the eyes for the task at hand. The bias for the eye on the left side of the image is explained in terms of hemispheric specialization. Although there were individual differences, most participants exhibited this pattern of effective use of information. An intriguing finding is that most participants displayed a clear sinusoidal modulation of effective use of attention through time with a frequency of about 10.6 Hz. (shrink)

It is a standard assumption in contemporary metaphysics that concrete objects come with a location in space and time. This applies not only to material objects and events, but also modes (such as the roundness of the apple, the softness of the pillow, Socrates' wisdom) and entities that have been called 'disturbances' (e.g. holes, folds, faults, and scratches). Taking the approach of descriptive metaphysics, I will show that modes and disturbances fail to have a bearer-independent spatial location. This allows for (...) a metaphysical explanation of the Chomskyan contrast between 'There is a fly believed to be in the bottle' and the unacceptable 'There is a flaw believed to be in the argument'. A subsidiary point this paper makes is that in their lack of a direct spatial location, modes need to be sharply distinguished from tropes as a category of foundationalist metaphysics that has been at the center of a pursuit of a one-category ontology since Williams (1953). (shrink)

This is an attempt to work the ground in the philosophy of nature by trying to articulate in a clear and rigorous philosophical sense what Nature is. This will involve pressing the question of nature to the point of essential distinctions in the hope of disclosing conditions that mark Nature as a distinct conception and general mode of being. Drawing and building upon Peirce’s account of “facts,” time and space, and the “dissymmetry” of nature, I will suggest some ways in (...) which the essential distinctness of Nature can be framed. I will end by offering a parting glance at some of the implications that might follow from the distinctions constructed. (shrink)

This is an attempt to work the ground in the philosophy of nature by trying to articulate in a clear and rigorous philosophical sense what Nature is. This will involve pressing the question of nature to the point of essential distinctions in the hope of disclosing conditions that mark Nature as a distinct conception and general mode of being. Drawing and building upon Peirce’s account of “facts,” time and space, and the “dissymmetry” of nature, I will suggest some ways in (...) which the essential distinctness of Nature can be framed. I will end by offering a parting glance at some of the implications that might follow from the distinctions constructed. (shrink)

The tidal-wave theory is inspired by the particular morphology of the cerebellar cortex. It elegantly attributes function to the anisotropy of the cerebellar wiring and the geometry of Purkinje cell dendrites. In this commentary, physiological considerations are used to elaborate temporal and spatial constraints of the tidal-wave theory. It is shown, first, that limitations of temporal precision in the cortical inputs to the mammalian cerebellum delimit the spatial resolution of an input sequence (i.e., the minimal distance along the (...) parallel fibers which can detect sequential input) to the range of a millimeter at best. Second, temporal characteristics of Purkinje cell postsynaptic potentials are argued to predict a distance of at least several millimeters along the parallel fiber beam in order to generate a sequence in the cerebellar output. It is concluded that the implementation of tidal waves as a general principle of cerebellar function is questionable as there exist cerebelli too small to match these constraints. (shrink)

Human fluid intelligence is closely linked to the sequential solving of complex problems. It has been associated with a distributed cognitive control or multiple-demand network, comprising regions of lateral frontal, insular, dorsomedial frontal, and parietal cortex. Previous neuroimaging research suggests that the MD network may orchestrate the allocation of attentional resources to individual parts of a complex task: in a complex target detection task with multiple independent rules, applied one at a time, reduced response to rule-critical events across the MD (...) network in lower fluid intelligence was observed. This was in particular the case with increasing task complexity, and was accompanied by impairment in performance. Here, we examined the early spatiotemporal neural dynamics of this process in electroencephalography source analyses using a similar task paradigm. Levels of fluid intelligence specifically predicted early neural responses in a left inferiorparietal MD region around 200–300 ms post stimulus onset. Evoked source amplitudes in left parietal cortex within this early time window also correlated with behavioural performance measures. Like in previous research, we observed impaired performance in lower fluid intelligence with increasing number of task rules. This links fluid intelligence to a process of attentional focus on those parts of a task that are most critical for the current behaviour. Within the MD system, our time re-resolved measures suggest that the left parietal cortex specifically impacts on early processes of attentional focus on task critical features. This is novel evidence on the neurocognitive correlates of fluid intelligence suggesting that individual differences are critically linked to an early process of attentional focus on task-relevant information, which is supported by left parietal MD regions. (shrink)

Provocatively, David Armstrong's properties are supposed to be both universals and spatio-temporal. What does this amount to? I consider four of Armstrong's views, in order of ascending plausibility: (1) the exemplification account, on which universals are exemplified by space-times; (2) the location account, on which universals are located at space-times; (3) the first constituent account, on which spatio-temporal relations are elements of what I call the form of time; and, the true view, (4) the second constituent (...) account, on which universals are spatio-temporal only 'derivatively' by being constituents of states of affairs which are so 'primarily'. The first two accounts are rejected because they entail that space-times must be substantival. In making plausible the second constituent account, I distinguish primitive and derivative spatio-temporality. Something is primitively spatio-temporal when it is at a space-time, or stands in spatio-temporal relations. Something is derivatively spatio-temporal when it is a constituent of something primitively spatio-temporal. (shrink)

Presents a unified semantics for various readings of 'together', using event mereology.

Research on brain or cognitive/affective processes, culture, social interaction, and structural analysis are overlapping but often independent ways humans have attempted to understand the origins of their evolution, historical, and contemporary development. Each level seeks to employ its own theoretical concepts and methods for depicting human nature and categorizing objects and events in the world, and often relies on different sources of evidence to support theoretical claims. Each level makes reference to different temporal bandwidths (milliseconds, seconds, minutes, hours, days, (...) months, years, decades, and centuries) and focuses on different spatio-temporal activities and controlled and non-controlled stimulus conditions. Biological mechanisms and environmental pressures for survival simultaneously created a gradual intersection and enhancement of cognitive/affective skills, cultural practices, and changes in collaborative social interaction and communicative skills. The evolution of a given level of analysis is assumed to have been incremental and overlapping. These innovative and independent ways humans have learned to characterize their brain or cognitive/affective and social/economic/political life often depend on unexamined, representational re-descriptions or cognitive/affective and socio-cultural devices and forms of communication that facilitate the depiction of practices and beliefs we attribute to respondents or subjects and research colleagues. (shrink)

Le concept de preuve peut être étudié selon différentes perspectives. Beaucoup de types de preuves ont été développées à travers l’histoire, comme les preuves apodictiques, dialectiques, formelles, constructives et non-constructives, les preuves par la visualisation, les preuves basées sur des hypothèses, les preuves générées par ordinateur, etc. Dans cet article nous développons le concept général des preuves-événements de Goguen et la méthodologie de la sémiotique algébrique, afin de définir le concept de style mathématique, qui caractérise les preuves produites par des (...) cultures, écoles ou chercheurs différents. D’après nous, le style peut être défini comme un méta-code sémiotique qui dépend du mode sous-jacent de signification , du code choisi et de l’espace sémiotique sous-jacent, et il détermine le mode individuel d’intégration dans une structure narrative . Pour conclure, nous examinons certains types historiques de styles de preuves mathématiques, afin de clarifier notre point de vue. (shrink)

This article considers recent arguments against the proposition that one and the same object cannot go out of existence and then come into existence again (so that, e.g., teleportation would involve change of identity.). It argues that these arguments can be evaded by adopting a four-dimensional ontology, according to which human beings, trees, etc., have temporal as well as spatial parts.

Whether man is predisposed to lethal violence, ranging from homicide to warfare, and how that may have impacted human evolution, are among the most controversial topics of debate on human evolution. Although recent studies on the evolution of warfare have been based on various archaeological and ethnographic data, they have reported mixed results: it is unclear whether or not warfare among prehistoric hunter – gatherers was common enough to be a component of human nature and a selective pressure for the (...) evolution of human behaviour. This paper reports the mortality attributable to violence, and the spatio-temporal pattern of violence thus shown among ancient hunter–gatherers using skeletal evidence in prehistoric Japan (the Jomon period: 13000 cal BC–800 cal BC). Our results suggest that the mortality due to violence was low and spatio-temporally highly restricted in the Jomon period, which implies that violence including warfare in prehistoric Japan was not common. (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)

John said, “Sam went to the bank”. He meant it as a literal statement to be assessed as true or false. He meant by “bank” ‘financial institution', referring by it to the First National Bank of Muncie. By “Sam” he referred to Sam Jorgensen. Do we need to know any other sorts of facts about John's utterance to know how it is to be understood?It might be argued that we do need to know something else, for suppose john produced an (...) utterance fitting the above description before Sam went to the bank. Then what he said was false. If John produced an utterance fitting the same description after Sam went to the bank, then what he said was true. Whatever John says on any occasion, it surely can't be both true and false. But if what John said before Sam went to the bank equals what john said after Sam went to the bank, equals what john said, then what john said appears to be both true and false. The moral drawn by this argument is that on the two different occasions john said two different things. So full specifications of what John would have said on the two different occasions must be different. These specifications must, then, differ by features not yet mentioned. (shrink)

The concept of proof can be studied from many different perspectives. Many types of proofs have been developed throughout history such as apodictic, dialectical, formal, constructive and non-constructive proofs, proofs by visualisation, assumption-based proofs, computer-generated proofs, etc. In this paper, we develop Goguen’s general concept of proof-events and the methodology of algebraic semiotics, in order to define the concept of mathematical style, which characterizes the proofs produced by different cultures, schools or scholars. In our view, style can be defined as (...) a semiotic meta-code that depends on the underlying mode of signification (semiosis), the selected code and the underlying semiotic space and determines the individual mode of integration (selection, combination, blending) into a narrative structure (proof). Finally, we examine certain historical types of styles of mathematical proofs, to elucidate our viewpoint. (shrink)