Ordinary reasoning about space—we argue—is first and foremost reasoning about things or events located in space. Accordingly, any theory concerned with the construction of a general model of our spatial competence must be grounded on a general account of the sort of entities that may enter into the scope of the theory. Moreover, on the methodological side the emphasis on spatial entities (as opposed to purely geometrical items such as points or regions) calls for a reexamination of the (...) conceptual categories required for this task. Building on material presented in an earlier paper, in this work we offer some examples of what this amounts to, of the difficulties involved, and of the main directions along which spatial theories should be developed so as to combine formal sophistication with some affinity with common sense. (shrink)

0. The ancient and honorable role of philosophy as a servant to the learning, development and use of scientific knowledge, though sadly underdeveloped since Grassmann, has been re-emerging from within the particular science of mathematics due to the latter's internal need; making this relationship more explicit (as well as further investigating the reasons for the decline) will, it is hoped, help to germinate the seeds of a brighter future for philosophy as well as help to guide the much wider learning (...) of mathematics and hence of all the sciences. 1. The unity of interacting opposites "space vs. quantity", with the accompanying "general vs. particular" and the resulting division of variable quantity into the interacting opposites "extensive vs. intensive", is susceptible, with the aid of categories, functors, and natural transformations, of a formulation which is on the one hand precise enough to admit proved theorems and considerable technical development and yet is on the other hand general enough to admit incorporation of almost any specialized hypothesis. Readers armed with the mathematical definitions of basic category theory should be able to translate the discussion in this section into symbols and diagrams for calculations. 2. The role of space as an arena for quantitative "becoming" underlies the qualitative transformation of a spatial category into a homotopy category, on which extensive and intensive quantities reappear as homology and cohomology. 3. The understanding of an object in a spatial category can be approached through definite Moore-Postnikov levels; each of these levels constitutes a mathematically precise "unity and identity of opposites", and their ensemble bears features strongly reminiscent of Hegel's Science of Logic. This resemblance suggests many mathematical and philosophical problems which now seem susceptible of exact solution. (shrink)

The perception of the lightness of surfaces has been shown to be affected by information about the spatial configuration of those surfaces and their illuminants. For example, two surfaces of equal luminance can appear to be of very different lightness if one of the two appears to lie in a shadow. How are we to understand the character of the processes that integrate such spatial configuration information so as to yield the eventual appearance of lightness? This paper makes (...) some simple observations about the vocabulary of appearance used in these contexts, and proposes that the end results can be called "phenomenal" in a traditional sense of that word. Processes whose products are phenomenal are next distinguished from processes characterized in other terms: (a) processes of perceptual grouping; (b) processes of perceptual organization; and (c) attentional (as opposed to preattentive) processes. These four categories are conceptually and empirically distinct. In particular, the paper reviews some evidence that appearances as of contours, occlusion, and amodally completed shapes can occur preattentively. Some implications for understanding gestalt grouping processes are briefly discussed. (shrink)

Cognitive semantic studies have shown that our conceptualization of morality is at least partially metaphorical and that our moral cognition is grounded in some fundamental contrastive categories of our embodied experience in the physical environment. It is argued that our moral cognition is built on a moral metaphor system. Within the framework of conceptual metaphor theory, this study aims to examine the spatial subsystem of moral metaphors in English. We set out with five pairs of moral metaphors that (...) involve the following spatial source concepts: HIGH and LOW, UPRIGHT and TILTED, LEVEL and UNLEVEL, STRAIGHT and CROOKED, and BIG and SMALL. These metaphors were found to constitute the spatial subsystem of moral metaphors in Chinese. Our primary goal is to find out if the five pairs of moral–spatial metaphors are manifested in English as well. To that end we collected linguistic data from the Corpus of Contemporary American English and searched Google Images for multimodal evidence. Our finding is that the five pairs of moral–spatial metaphors are applicable in English as they are in Chinese. We also discuss issues related to conceptual metaphor theory. (shrink)

What does it mean to spatialize food? Why combine such an analysis with law, or with signs and spaces? Leveraging Peircean-inspired legal semiotic theory, the spatialized nature of food will serve as a porthole through which a semiotic view of the spatial dimensions of legal experience can be discerned and elaborated. Specifically, case studies of the simultaneously material and immaterial aspects of food will support an analysis that seeks to open avenues of conceptualization regarding categories. The semiotic nature (...) of both food and law will drive a discussion of the “dis-composition” of categories. Though such an effort may appear overly scholarly and far from pragmatic, exactly the opposite claim will be made. Case studies such as that of the “Meatball Wars” will illustrate in plain terms how subject position struggles for space cannot be adequately addressed within traditional disciplinary boundaries. The essay will conclude with a demonstration of how a “discomposing” semiotic approach has the potential to serve as a means of enabling conflict resolution on a broader scale. The overall investigation is motivated by the struggle within academia – seen across the humanities – to rethink traditional foundational assumptions and dichotomies. The argument seeks to ground itself in the interconnectedness increasingly advanced, joining scholars who insist on the importance of anthro-historical context, local particulars, and the impossibility of assuming an objective position that can coolly observe phenomena from “outside.”. (shrink)

Since it is only five years since the publication of our paper, "Geographical categories: An ontological investigation" (Smith and Mark 2001), it seems somewhat strange to be making retrospective comments on the piece. Nevertheless, the field is moving quickly, and much has happened since the article appeared. A large number of papers have already cited the work, which suggests that there is a seam here that people find worthy of being mined. In this short essay, we first review the (...) paper and attempt to assess its significance from the perspective of our current work. We then put the paper in the context of our individual and joint works, which led up to it, and summarize our research trajectories since the paper appeared, pointing out what some of this reveals about spatial ontology in general. We conclude with some remarks on the future of ontological research in geographical information science. (shrink)

Thelen et al. criticize “spatial coding” approaches to the A-not-B error. However, newer thinking about spatial coding provides more precise analytic categories and recognizes that different spatial coding systems normally coexist. Theorizing about spatial coding is largely compatible with dynamic-systems theory, augmenting it with an analysis of what one means when discussing “location at A” (or B).

Available from UMI in association with The British Library. ;A form of metaphysical inquiry is in this thesis both illustrated in detail and defended against the charge of issuing in statements which lack cognitive content. 'Categorial description' concerns the fundamental features of our conceptual scheme: the categories described are those of substance, accident, cause, space and time. ;Following Aristotle's distinction between primary and secondary substances, these two notions are addressed as equivalent to those individual or particular things and their (...) kinds. A particular thing is characterised as not being capable of occuring in the predicate position in a proposition; and as having criteria or principles of individuation and reidentification. Accidents or properties can appear in the predicate position and do not have criteria of identity. ;Secondary substances, or natural kinds, being a species of property, also fail to have criteria for individuation and reidentification. It follows that the recently revived Aristotelian essentialism, as exhibited in particular in the work of Kripke, fails to correctly characterise the category of natural kinds: in that theory, natural kinds have essential properties which enable individuation and reidentification across possible worlds. ;Efficient causation is described, against the background of the Locke-Hume dispute, as involving the concept of necessary connection between cause and effect. Rejecting the theory of Harre and Madden on causal powers, an approach by Mackie is defended whereby this connection is a reflection of our counterfactual thinking. The possible worlds essentialist approach of Lewis to counterfactuals is rejected too, as inadequate. ;Space and time, spatial and temporal relations, and places and moments in time are approached in terms of the other categories of particular and property. The obscurity of fit between these categories is identified as responsible for many philosophical puzzles concerning space and time: for example, McTaggart's 'proof' of the unreality of time; and the recent debate on the possibility of multiple times and multiple spaces. ;In the final chapter, the logical commitments of categorial description concerning conceptual relativism and the nature of reality in itself are explored. It is argued that, since categories are in large part responsible for the kinds of acts there are, a description of our categories is a description of reality itself. Since our categories do not involve the machinery of possible worlds offered by contemporary essentialist theories, those theories fail to describe reality. (shrink)

I use recent work on Kant and diagrammatic reasoning to develop a reconsideration of central aspects of Kant’s philosophy of geometry and its relation to spatial intuition. In particular, I reconsider in this light the relations between geometrical concepts and their schemata, and the relationship between pure and empirical intuition. I argue that diagrammatic interpretations of Kant’s theory of geometrical intuition can, at best, capture only part of what Kant’s conception involves and that, for example, they cannot explain why (...) Kant takes geometrical constructions in the style of Euclid to provide us with an a priori framework for physical space. I attempt, along the way, to shed new light on the relationship between Kant’s theory of space and the debate between Newton and Leibniz to which he was reacting, and also on the role of geometry and spatial intuition in the transcendental deduction of the categories. (shrink)

Abstract I develop the idea that there exists a special dimension of depth, or of scale. The depth dimension is physically real and extends from the bottom micro-level to the ultimate macro-level of the Universe. The depth dimension, or the scales axis, complements the standard three spatial dimensions. I discuss the tentative qualities of the depth dimension and the universal arrangement of matter along this dimension. I suggest that all matter in the Universe, at least in the present cosmological (...) epoch, is in joint downward motion along the depth dimension. The joint downward motion manifests itself in the universal contraction of matter. The opposite direction of motion, upward the dimension, would cause the expansion of matter. The contraction of matter is a primary factor, whereas the shrinking of space in the vicinity of matter is a derivative phenomenon. The observed expansion of the Universe is explained by the fact that celestial bodies become smaller due to matter contraction, while the overall space remains predominantly intact. Thus, relative to the contracting material bodies, the total span of cosmic space appears to be becoming vaster. I attempt to explain how the contraction of matter engenders the effect of universal gravity. I use over thirty animated and graphical color visualizations in the text to make the explanation of the proposed ideas more lucid. Content Type Journal Article Category Original Paper Pages 1-39 DOI 10.1007/s10516-011-9178-4 Authors A. Alyushin, Department of Philosophy, The Higher School of Economics, 20 Myasnitskaya Street, 101000 Moscow, Russia Journal Axiomathes Online ISSN 1572-8390 Print ISSN 1122-1151. (shrink)

Resumen: El artículo aborda uno de los modos de localización de entidades en situaciones espaciales estáticas: la deíxis espacial. Nuestro objetivo principal es describir la estructura y uso del sistema demostrativo en espacio de escala menor en la lengua hablada por los gitanos de Chile: el rromané jorajané. Para la obtención de los datos se utilizó The 1999 Demonstrative Questionnaire: ‘THIS’ and ‘THAT’ in comparative perspective. Los resultados del análisis destacan que los demostrativos espaciales del rromané jorajané constituyen un grupo (...) altamente simétrico, que combina un componente semántico deíctico, junto con contenidos gramaticales. Se trata de un sistema demostrativo binario en cuanto a la categoría de distancia respecto del centro deíctico. Se concluye también que la selección del demostrativo apropiado obedece al siguiente patrón: el demostrativo proximal tiene su área focal en la zona próxima al hablante, mientras que el demostrativo distal incluye en su campo de aplicación tanto la zona próxima al oyente como la zona distante al hablante.: This paper addresses one way of locating entities in static spatial situations: the spatial deixis. Our main purpose is to describe the structure and use of the demonstrative system in small-scale space in the language spoken by Gypsies in Chile: the rromané jorajané. Data collection was performed with “The 1999 Demonstrative Questionnaire: ‘THIS’ and ‘THAT’ in comparative perspective”. The analysis results highlight that spatial demonstratives in rromané jorajané are a highly symmetrical group combining a deictic semantic component with grammatical contents. It is a binary demonstrative system in terms of the category of distance from the deictic center. Additionally, it is concluded that choice of the suitable demonstrative proceeds according to the following pattern: the proximal demonstrative has its focal area in the speaker’s zone of proximity, while the distal demonstrative includes both the addressee’s zone of proximity and the speaker’s distal zone within its application field. (shrink)

Le politique a tendance à découper le territoire en tranches catégorielles de taille (espaces ruraux, villes petites et moyennes, métropoles) ou binaires (espaces « périphériques », métropoles « incluses ») de manière à en servir les clientèles au gré des opportunités. Est-ce la fin de la paix territoriale et l’activation de clivages sociaux par le truchement du territoire? Voilà pour le politique. Du côté des scientifiques, le besoin d’un cadre d’analyse comparable dans le temps pousse de nombreux statisticiens et chercheurs (...) à mobiliser les mêmes catégories, à la recherche du mythique « territoire pertinent ». Or, le territoire est fait de flux, de liens, d’interdépendances entre échelles et acteurs. Il connait par ailleurs une grande diversité. Il est alors nécessaire de construire des cadres d’analyse globaux et des idéaux-types pour caractériser les différentes trajectoires spatiales et éclairer l’action publique. (shrink)

Abstract Antonio Gramsci?s philosophy of praxis is characterised by the spatialisation as well as historicisation of its analytical categories. These theoretical practices are deeply intertwined in his ?absolute historicism?. Highlighting the spatiality of Gramsci?s analysis not only enables us to recover the many geographical themes in his work but also provides a useful counterweight to the emphasis on the historical dimensions of his historicism. In addition to obvious references to Gramsci?s use of spatial metaphors and his discussion of (...) the Southern Question, it is shown that many of his key concepts are best interpreted from a spatio?temporal as well as social and material perspective. After introducing the concepts of space, place and scale, the essay shows that all three are relevant to Gramsci?s analyses of issues such as language, the historical significance of the Catholic Church, the role of intellectuals, cosmopolitanism, class and class struggle, Americanism and Fordism, the nature of the Italian state, the social bases of state power, Jacobinism, passive revolution and hegemony. The essay concludes that Gramsci?s interest in place, space and scale was not merely academic but had to do with his analysis of revolutionary conjunctures. (shrink)

The cognitive processing of spatial relations in Euclidean diagrams is central to the diagram-based geometric practice of Euclid's Elements. In this study, we investigate this processing through two dichotomies among spatial relations—metric vs topological and exact vs co-exact—introduced by Manders in his seminal epistemological analysis of Euclid's geometric practice. To this end, we carried out a two-part experiment where participants were asked to judge spatial relations in Euclidean diagrams in a visual half field task design. In the (...) first part, we tested whether the processing of metric vs topological relations yielded the same hemispheric specialization as the processing of coordinate vs categorical relations. In the second part, we investigated the specific performance patterns for the processing of five pairs of exact/co-exact relations, where stimuli for the co-exact relations were divided into three categories depending on their distance from the exact case. Regarding the processing of metric vs topological relations, hemispheric differences were found for only a few of the stimuli used, which may indicate that other processing mechanisms might be at play. Regarding the processing of exact vs co-exact relations, results show that the level of agreement among participants in judging co-exact relations decreases with the distance from the exact case, and this for the five pairs of exact/co-exact relations tested. The philosophical implications of these empirical findings for the epistemological analysis of Euclid's diagram-based geometric practice are spelled out and discussed. (shrink)

Western philosophy has been dominated by the concept or the idea—the belief that there is one sovereign notion or singular principle that can make reality explicable and bring all that exists under its sway. In modern politics, this role is played by ideology. Left, right, or center, political schools of thought share a metaphysics of simplification. We internalize a dominant, largely unnoticeable framework, oblivious to complex, plural, and occasionally conflicting or mutually contradictory explanations for what is the case. In this (...) groundbreaking work, Michael Marder proposes a new methodology for political science and philosophy, one which he terms “categorial thinking.” In contrast to the concept, no category alone can exhaust the meaning of anything: categories are so many folds, complications, respectful of multiplicity. Ranging from classical Aristotelian and Kantian philosophies to phenomenology and contemporary politics, Marder's book offers readers a theoretical toolbox for the interpretation of political phenomena, processes, institutions, and ideas. His categorial apparatus encompasses political temporality and spatiality; the revolutionary and conservative modalities of political actuality, possibility, and necessity; quantitative and qualitative approaches to the study of political reality; the meaning of political relations; and various senses of political being. Under this lens, the political appears not as a singular concept but as a family of categories, allowing room for new, plural, and often antagonistic ideas about the state, the people, sovereignty, and power. (shrink)

Participants maneuvered a rat image through a circular region on the computer screen to find a hidden target platform, blending aspects of two well-known spatial tasks. Like the Morris water maze task, participants first experienced a series of learning trials before having to navigate to the hidden target platform from different locations and orientations. Like the dot-location task, they determined the location of a position within a two-dimensional circular region. This procedure provided a way to examine how the number (...) of surrounding cues (1, 2, or 3) affects the memory for spatial location in navigation. Memory performance was better when there were more cues and when targets were close to cues, consistent with the idea that cues bolster fine-grain memory, especially in proximal regions. Early and late measures of bias in memory reflected biases in a direction toward the nearest cue, implicating a cue-based category structure of the navigational space. Collectively, results suggest cue-based spatial memory representations that have been inferred from the dot-location task generalize to a navigation task within a simple, computer-based environment, as demonstrated by the good fits of the spatial model developed for the dot-location task (Fitting, Wedell, & Allen, 2005, 2007). (shrink)

We used a qualitative dissociation procedure to assess semantic priming from spatially attended and unattended masked words. Participants categorized target words that were preceded by parafoveal prime words belonging to either the same or the opposite category as the target. Using this paradigm, only non-strategic use of the prime would result in facilitation of the target responses in related trials. Primes were immediately masked or masked with a delay, while spatial attention was allocated to the primes’ location or away (...) from the primes’ location. Immediate masked, strongly related primes facilitated target responses irrespective of the spatial attention. Delayed masked, related primes led to reversed or facilitatory priming depending on whether they were cued or uncued. These findings demonstrate that perceiving a stimulus with or without awareness depends on both stimulus quality and attention orienting and that non-strategic priming can be observed from clear visible but spatially unattended words. (shrink)

The more carefully we look, the more impressive the repertoire of infant concepts seems to be. Across a wide range of tasks, infants seem to be using concepts corresponding to surprisingly high-level and abstract categories and relations. It is tempting to try to explain these abilities in terms of a core capacity in spatial cognition that emerges very early in development and then gets extended beyond reasoning about direct spatial arrays and events. Although such a spatial (...) cognitive capacity may indeed form one valuable basis for later cognitive growth, it seems unlikely that it can be the sole or even primary explanation for either the impressive conceptual capacities of infants or the ways in which concepts develop. (shrink)

However robust the mind's cognitive strategies of objectifying and rendering in object terms conscious experience, there is nevertheless that which resists object/substantivity categorization: an exteriority that comes out of perception itself and that is here termed the 'background '. In seeking out, in this inquiry, the non- objectified and non-thingness part of the observed world, we must first of all distinguish this background from such misrepresenta- tions as mere 'seeming '. The background -- while not thing-like or detectable as data (...) will be defended as existing concretely and empirically to the observer, notwithstanding our objectifying and substantive way of framing our understanding of the world. It will be shown to have verifiability despite being knowable only from the first-person perspective. The aim is to demonstrate its presence by way of a number of its features, and to show that far from being a mere subjective quality, it stands as real as do spatial objects or whatever arises spatially as a discretizable information source in the empirical world. (shrink)

Is thinking necessarily linguistic? Do we think with words, to use Bermudez’s (2003) phrase? Or does thinking occur in some other, yet to be determined, representational format? Or again do we think in various formats, switching from one to the other as tasks demand? In virtue perhaps of the ambiguous na- ture of first-person introspective data on the matter, philosophers have tradition- ally disagreed on this question, some thinking that thought had to be pictorial, other insisting that it could not (...) be but linguistic. When any problem divides a community of otherwise intelligent rational thinkers, one suspects some deep conceptual confusion is at play. Indeed, we believe that the conceptual cate- gories used to frame these and related questions are so hopelessly muddled that one could honestly answer “both simultaneously”, or “neither”, depending one what is meant by the alternatives. But let’s get our priorities straight. This paper first and foremost aims at defending what we believe to be a step in that direc- tion of the proper view of thinking, a view we call the spatial-motor view. In order to do so, however, we have found it essential to start by addressing the conceptual confusion just alluded to. Accordingly, the paper proceeds in two steps. First a conceptual step, in which we reconsider some of the traditional categories brought into play when thinking about thinking. Then an empirical step, in which we offer empirical evidence for one of the views conceptually isolated during the first part of the work. Future version of this collaborative work will include a speculative step in which we spin out an evolutionary and developmental scenario whose function it is justify the spatial-motor view by showing how it fits into current evolutionary and developmental theories. (shrink)

Over the last two decades, the Japanese notion of ba, introduced by Ikujiro Nonaka and his associates to the West, has come to play an important role in management theory. This notion, which has been roughly translated as ‘place’ or ‘topos,’ stresses the importance of processual spatial thinking for economics and management alike. As such, it echoes and amplifies recent voices in the business world, which argue that we must understand business strategy in terms of space, that is to (...) say, as an expression of the dynamics of social interaction which involves such factors as connectivity, information flow, external versus tacit knowledge, etc. Despite many efforts, the barriers for fully integrating ba into the body of Western management literature will remain for as long as its underlying assumptions are defined by ontologically static categories. This article is an attempt to overcome this theoretical bottleneck, first by critiquing the sub optimal approach to processual problems generated by conventional Western business theories, which can neither recognise their hidden background assumptions about space nor transcend them, and second, by explaining, within the framework of comparative analysis, how ba leads to a new processual and dynamic account of business life. Our overall aim is to demonstrate how a new processual notion of space enables a deeper, more integrated understanding not only of the nature of the firm, but also of the role managers play within firms. (shrink)

Over the last two decades, the Japanese notion of ba, introduced by Ikujiro Nonaka and his associates to the West, has come to play an important role in management theory. This notion, which has been roughly translated as ‘place’ or ‘topos,’ stresses the importance of processual spatial thinking for economics and management alike. As such, it echoes and amplifies recent voices in the business world, which argue that we must understand business strategy in terms of space, that is to (...) say, as an expression of the dynamics of social interaction which involves such factors as connectivity, information flow, external versus tacit knowledge, etc. Despite many efforts, the barriers for fully integrating ba into the body of Western management literature will remain for as long as its underlying assumptions are defined by ontologically static categories. This article is an attempt to overcome this theoretical bottleneck, first by critiquing the sub optimal approach to processual problems generated by conventional Western business theories, which can neither recognise their hidden background assumptions about space nor transcend them, and second, by explaining, within the framework of comparative analysis, how ba leads to a new processual and dynamic account of business life. Our overall aim is to demonstrate how a new processual notion of space enables a deeper, more integrated understanding not only of the nature of the firm, but also of the role managers play within firms. (shrink)

Considering the ways in which plants move and shape the places of their growth, this article suggests that performing arts should account for the vegetal model of movement. The implications of including plants in the category of “moving beings” are vast, as they touch upon the dynamic relation between immanence and transcendence, questions of time-scales appropriate to different kinds of beings and their responses to the environment, and phenomenologies of place corresponding to diverse forms of life. I argue that although, (...) for humans, performing vegetal movement is “performing the unperformable,” art grants us a unique access point to experiencing what is entailed in such movement and in the places wherein it unfolds. (shrink)

In Topoi/Graphein Christian Abrahamsson maps the paradoxical limit of the in-between to revealthat to be human is to know how tolive with the difference between the known and the unknown. Using filmic case studies, including CodeInconnu, Lord of the Flies, and Apocalypse Now,and focusing on key concerns developed in the works of the philosophers Deleuze, Olsson, and Wittgenstein, Abrahamsson starts within the notion of fixed spatiality, in whichhuman thought and action are anchored in the given of identity. He then movesthrough (...) a social world in which spatiotemporal transformations are neitherfixed nor taken for granted. Finally he edges into the pure temporality that liesbeyond the maps of fixed points and social relations. Each chapter is organized into two subjects: topoi, orexcerpts from the films, and graphein, the author's interpretation ofpresented theoriesto mirror the displacements,transpositions, juxtapositions, fluctuations, and transformations between delimited categories. A landmark work in the study of human geography, Abrahamsson's book proposes that academic and intellectual attention should focus on the spatialization between meaning and its materialization in everyday life. (shrink)

The paper argues that causal systems and spatial patterns are species of the same genus, namely pattern, and that a clear view of spatial patterns throws light on some aspects of the ontological nature of causal systems. In particular, it is argued that all patterns (and systems) depend on a fiat delimitation of something which in itself is a unity without borders. Pattern realism is true.

The goal of this paper is to develop a systematic taxonomy of cognitive artifacts, i.e., human-made, physical objects that functionally contribute to performing a cognitive task. First, I identify the target domain by conceptualizing the category of cognitive artifacts as a functional kind: a kind of artifact that is defined purely by its function. Next, on the basis of their informational properties, I develop a set of related subcategories in which cognitive artifacts with similar properties can be grouped. In this (...) taxonomy, I distinguish between three taxa, those of family, genus, and species. The family includes all cognitive artifacts without further specifying their informational properties. Two genera are then distinguished: representational and non-representational (or ecological) cognitive artifacts. These genera are further divided into species. In case of representational artifacts, these species are iconic, indexical, or symbolic. In case of ecological artifacts, these species are spatial or structural. Within species, token artifacts are identified. The proposed taxonomy is an important first step towards a better understanding of the range and variety of cognitive artifacts and is a helpful point of departure, both for conceptualizing how different artifacts augment or impair cognitive performance and how they transform and are integrated into our cognitive system and practices. (shrink)

Memory for spatial location is typically biased, with errors trending toward the center of a surrounding region. According to the category adjustment model, this bias reflects the optimal, Bayesian combination of fine-grained and categorical representations of a location. However, there is disagreement about whether categories are malleable. For instance, can categories be redefined based on expert-level conceptual knowledge? Furthermore, if expert knowledge is used, does it dominate other information sources, or is it used adaptively so as to (...) minimize overall error, as predicted by a Bayesian framework? We address these questions using images of geological interest. The participants were experts in structural geology, organic chemistry, or English literature. Our data indicate that expertise-based categories influence estimates of location memory—particularly when these categories better constrain errors than alternative categories. Results are discussed with respect to the CAM. (shrink)

Traditional spatial enabled grammars lack flexibility in specifying the spatial semantics of graphs. This paper describes a new graph grammar formalism called the multigranularity Coordinate Graph Grammar (mgCGG) for spatial graphs. Based on the Coordinate Graph Grammar (CGG), the mgCGG divides coordinates into two categories, physical coordinates and grammatical coordinates, where physical coordinates are the common coordinates in the real world, and grammatical coordinates describe the restrictions on the spatial semantics. In the derivation and reduction (...) of the mgCGG, the spatial matching conditions between nodes are evaluated on the basis of the grammatical coordinates, which can be obtained by the specified granularities. By adjusting the granularities, both qualitative and quantitative analyses for spatial semantics can be obtained, including the transition states between them. In addition, a new redex searching algorithm with polynomial time complexity is designed for the mgCGG. A running example of drawing a flowchart is given to illustrate a practical application of the mgCGG. Through a detailed comparison with related spatial-enabled grammars, it is found that the mgCGG has good performance in four critical aspects—the semantics processing mechanism, fault-tolerance, redex searching algorithm, and practical application—providing a flexible yet uniform way to specify spatial graphs and building a bridge between nonspatial and spatial grammars. (shrink)

Much attention has been given to the question of ontic vagueness, and the issues usually center around whether certain paradigmatically concrete entities – cats, clouds, mountains, etc. – are vague in the sense of having indeterminate spatial boundaries. In this paper, however, I wish to focus on a way in which some abstracta seem to be locationally vague. To begin, I will briefly cover some territory already covered regarding certain types of “traditional” abstracta and the ways they are currently (...) alleged to be vague. I then wish to discuss two types of “nontraditional” abstracta and the sense in which I think some of these objects are locationally vague. I will next reexamine some of the traditional abstracta and discuss whether any of these objects are locationally vague in the novel way suggested for the nontraditional sorts. I’ll finish by discussing objections, and conclude with some remarks about characterizing the abstract/concrete distinction. (shrink)

Over many centuries, the homing pigeon has been selectively bred for returning home from a distant location. As a result of this strong selective pressure, homing pigeons have developed an excellent spatial navigation system. This system passes through the hippocampal formation, which shares many striking similarities to the mammalian hippocampus; there are a host of shared neuropeptides, interconnections, and its role in the storage and manipulation of spatial maps. There are some notable differences as well: there are unique (...) connectivity patterns and spatial encoding strategies. This review summarizes the comparisons between the avian and mammalian hippocampal systems, and the responses of single neurons in several general categories: location and place cells responding in specific areas, path and goal cells responding between goal locations, context-dependent cells that respond before or during a task, and pattern, grid, and boundary cells that increase firing at stable intervals. Head-direction cells, responding to a specific compass direction, are found in mammals and other birds but not to date in pigeons. By studying an animal that evolved under significant adaptive pressure to quickly develop a complex and efficient spatial memory system, we may better understand the comparative neurology of neurospatial systems, and plot new and potentially fruitful avenues of comparative research in the future. (shrink)

Much fuss has been made of the “spatial turn” in recent years, across a range of disciplines. It is hard to know if the attention has been warranted. A confusion of terms has been used—such as space, place, spatiality, location—and each has signified a cluster of often contradictory and confusing meanings. This phenomenon is common to a range of disciplines in the humanities. This means, first, that it is not always easy to recognize what is being discussed under the (...) rubric of space, and second, that over-extended uses of the cultural turn have stymied meaningful engagement with materiality in discussions of space. This article shows how materiality has been marginalized both by a casual vocabulary and a vigorous a priori epistemological holism on the part of scholars, and how the spatial turn has been too closely linked to the cultural turn to allow it to develop its fullest explanatory potential. It demonstrates how historians might profitably theorize the significance of place and space in their work , and sets out some challenges for using space more effectively in explanatory systems. Inspired by environmental history, sociology, and science and technology studies, I propose a way of establishing space as different from conventional historical handling of materiality, and end by identifying some methodological problems that need to be solved if we are to proceed on a surer footing. (shrink)

The article aims to provide a semiotic interpretation of the sign of the Ecclesiastical Court within the legal framework from temporal and spatial perspectives. The starting point of the research is the idea that the history of the Russian Ecclesiastical Court is inextricably linked to the history of Russian society and secular court. Consideration of the pre-revolutionary ecclesiastical and secular law helps us explore principles of the ecclesiastical proceedings and organization, identify contradictions in understanding modern Ecclesiastical Court. Its sign (...) is not only limited to the legal interpretation. In his novel The Brothers Karamazov, Dostoevsky F. M. gave the sign of the Ecclesiastical Court symbolic meaning and, thus, expanded it beyond the existing legal framework. The Ecclesiastical Court is one of the symbols of Russian spirituality which is reflected in the concept of “Russian soul”. Rational elements of the sign of Ecclesiastical Court as well as its sensual and metaphorical components, are analyzed using the category of Truth. Clearly, the Cross is sign-symbol for Christianity. But if applied to the concept of Ecclesiastical Court, the Orthodox Cross becomes a sign-index. As a result, several semantically heterogeneous meanings of the sign of Ecclesiastical Court are revealed and described. (shrink)

Myth and the spatial organization of the City: The case of Tanagra. How does Myth participate in the shaping of the different kinds of space constituing a city, whether it be in the definition of its eschatiai or in the determination of the many internal relations that link together its centre, its chora and its limits? I propose here a case study focussed on Pausanias’ description of Tanagra in Boiotia, locating the descriptive content of the text within its wider (...) generic logic. Pausanias’ panhellenic, if not “oikoumenic”, understanding of Myth is active in producing specific memorial topographies. In the case of Tanagra, the text reconstructs the space of the city from a selection of schematized epichoric traditions, outlining the ways in which local myths embody the city’s cohesion on the grounds of the diverse categories of space implied in the narratives. The discrepancies between what the myths are telling and the effective ritual practices call into question the partaking of Myth and Rite in the structuring of civic space.Comment le mythe contribue-t-il à organiser les espaces différenciés d’une cité, le statut de ses eschatia, les rapports entre centres, chora et limites ? L’œuvre de Pausa­nias, entre témoignage et logique périégétique, propose une certaine pratique du mythe, panhellénique sinon « oikouménique », qui produit des topographies mémorielles spécifi­ques. Elle reconstruit l’espace d’une petite cité béotienne, Tanagra, à partir de traditions épicho­riques dont elle schématise les structures, laissant transparaître les manières dont le mythe articule la relation entre la cité, ses dieux et son territoire, dont il définit les qualités des espaces qu’il met en jeu, montagne, littoral, remparts… Entre ce que « disent » les mythes – l’aition d’une fête par exemple – et ce qu’opère la pratique rituelle, des écarts se font jour qui obligent à interroger la part respective du mythe et du rite dans la structuration de l’espace. Cette étude de cas vise à montrer la valeur opératoire de la notion de mythe au sein des processus par lesquels une cité grecque, communauté d’hommes et de dieux liés par des rites, s’approprie symboliquement l’espace sur lequel elle est établie. (shrink)

This article examines the topic of protest mapping during the rise of Occupy Wall Street in the United States in 2011–2012. It focuses on various practices of protest mapping, including a con­sideration of how space (public, urban, or of the protest camp) is represented in the visual sources discussed. It also addresses the qualitative difference between protest mapping and other mapping practices, as well as the categorization of protest mapping terms. Using the method of source analysis and online research, the (...) article adopts, as its key concept for studying protest as a multi-threaded phenomenon, the notion of détournement. This concept was first described in 1957 by Gil Wolman and Guy Debord, and from the early 1960s was used as a creative method and also a revolutionary strategy by the avant-garde artistic group, the Situationist International. The categories of stasis, dynamism, and spatiality will also be important points of reference. (shrink)

The Anthropocene debates are rooted in epistemological differences. Geologists seek temporal markers of spatially even anthropogenic impact. Thus, they favor geologic data that fit this category. Humanists and social scientists, on the other hand, tend to focus on the negative effects of spatial unevenness. Without linking the Anthropocene’s temporal and spatial components, the official designation, ultimately determined by geologists, will be a futile exercise that will not make good on the Anthropocene Working Group’s intention for it to be (...) useful for wider segments of society. However, if the Anthropocene is divided into an Early, Middle, and Late Anthropocene, each defined by geologic evidence, the uneven spatial distributions of anthropogenic damage can be traced to specific events in human history, thus actualizing the predictive value of geology. Further, this diachronic scheme, unlike the synchronic ones thus far proposed, makes more legible two fundamental dynamics between human and natural trajectories: the intensification of global inequity coterminous with the intensification of natural damage; and humanity’s ever more audacious attempts to control the environment. This ethos, wielded as the prime justification for taking over that which belonged to cultures not espousing it, has resulted in anthropogenic damage disproportionately affecting the most economically and historically vulnerable peoples. However, their alternative modes of coping with the damages—an ineluctable responsiveness to, rather than control over, environment—enables them to survive. As such, they could lead the way through the Anthropocene, modeling adaptation and mitigation strategies, and obviating the global North’s unsound hope for a technological solution. Three metropolitan architects, Rem Koolhaas, David Adjaye, and V. Mitch McEwen, look to global Southern urbanisms––improvisational, creative, minimalist praxes grounded in indigenous lifeways––for alternate modes of inhabiting anthropocenic modernity. Likewise, New Zealand’s government has materially and ethically mitigated its legacy of settler colonialism by combining Western scientific data with indigenous knowledge to formulate more adaptive, responsive, integrative approaches to environment. By expanding the data beyond the stratigraphic, coordinated interdisciplinary research can measure variegated effects of––and responses to––the Anthropocene, thus better equipping humanity to adapt to and/or mitigate climate change and to eschew unsustainable practices. (shrink)

Are there difficulties raised by the idea of backwards time travel—travel to earlier times—that are peculiar to objects? By ‘object’ in this context I mean something that takes up space, that typically prevents other items in the same category from occupying the same space, and for which it is generally thought appropriate to talk in terms of persistence conditions. One such problem is raised in H. G. Wells’ The Time Machine, but highlighted in the philosophical literature only very recently, by (...) William Grey. Consider Tim, who boards his time machine and, at 12 noon precisely, presses the button to send him back into the past. At any moments after noon, both Tim and the machine have ceased to exist. (shrink)

Second Scholasticism greatly developed the medieval theory of continuous quantity as the Aristotelian notion for thematizing spatial extension, paving the way for the idea of space as extension in early modern natural philosophy. The article analyzes the section related to the category of continuous quantity in the Coimbra commentary on the Dialectics (1606), showing that it is indebted to the novel theory of Francisco Suárez on quantity as bestowing extension to a body in a particular sense, something which had (...) been overlooked by previous research. The scholarly debate on quantity was brought to China, and here the Chinese translation is examined of the section on quantity in the fourth volume of the Mingli Tan, published in China in 1636-­1639. (shrink)

I analyze the two main theses of Helmholtz's "The Applicability of the Axioms to the Physical World," in which he argued that the axioms of Euclidean geometry are not, as his neo-Kantian opponents had argued, binding on any experience of the external world. This required two argumentative steps: 1) a new account of the structure of our representations which was consistent both with the experience of our (for him) Euclidean world and with experience of a non-Euclidean one, and 2) a (...) demonstration of why geometric propositions are essentially connected to material and temporal aspects of experience. The effect of Helmholtz's discussion is to throw into relief an intermediate category of metrological objects--objects which are required for the properly theoretical activity of doing physical science (in this sense, a priori requirements for doing science), all while being recognizably contingent aspects of experience. (shrink)