This paper is an attempt to solve a key problem of phenomenology. The problem is given with the double role of the revealing capacity for which phenomena are present. On the one hand, this capacity must be prior to all phenomena, because it allows phenomena to show themselves and thus to be what they essentially are. On the other hand, the revealing capacity must be situated in the midst of phenomena; it must belong to the phenomenal world in order to (...) have access to it. This problem has been discussed in different versions by Husserl, Heidegger, and Merleau-Ponty, but in every version it remains aporetic. The problem can be solved by conceiving the capacity, which reveals phenomena, as spatial. The paper shows how the essential priority of the revealing capacity as well as its situatedness in the midst of phenomena has spatial character. Phenomenology thus is spatial thinking. (shrink)

This paper is an attempt to solve a key problem of phenomenology. The problem is given with the double role of the revealing capacity for which phenomena are present. On the one hand, this capacity must be prior to all phenomena, because it allows phenomena to show themselves and thus to be what they essentially are. On the other hand, the revealing capacity must be situated in the midst of phenomena; it must belong to the phenomenal world in order to (...) have access to it. This problem has been discussed in different versions by Husserl, Heidegger, and Merleau-Ponty, but in every version it remains aporetic. The problem can be solved by conceiving the capacity, which reveals phenomena, as spatial. The paper shows how the essential priority of the revealing capacity as well as its situatedness in the midst of phenomena has spatial character. Phenomenology thus is spatial thinking. (shrink)

Spatial skills predict important life outcomes, such as mathematical achievement or entrance into Science, Technology, Engineering, and Mathematics disciplines. Children significantly vary in their spatial performance even before they enter formal schooling. One correlate of children's spatial performance is the spatial language they produce and hear from others, such as their parents. Because the emphasis has been on spatial language, less is known about the role of hand gestures in children's spatial development. Some children (...) are more likely to fall behind in their spatial skills than others. Children born premature constitute such a risk group. Here, we compared performance of term and preterm-born children on two non-verbal spatial tasks—mental transformation and block design. We also examined relations of children's performance on these tasks to parental spatial language and gesture input and their own production of spatial language and gesture during an independent puzzle play interaction. We found that while term and preterm-born children as a group did not differ in the mental transformation or block design performance, children varied widely in their performance within each group. The variability in mental transformation scores was predicted by both a subset of spatial words and all spatial gestures children produced. Children's spatial language and gesture were in turn related to their parents' spatial language and gesture. Parental spatial language and gesture had an indirect relation on children's mental transformation, but not block design, scores via children's spatial language, and gesture use. Overall, results highlight the unique contributions of speech and gesture in communicating spatial information and predicting children's spatial performance. (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)

Abstract:Given the distinctiveness of its urban and civic spaces and of the famously strong but also complex sense of civic identity among its populace, sixteenth century Venice is a prime case study for applying spatial thinking when imagining the deliberate construction of space and the relationship of inhabitants to that space; in particular, the relationship between those in power and those without power as indicative throughout the cityscape. The formation and development of central features of Venetian urban space (...) and identity, since maritime topography constrained its urban space, created an unusually cohesive sense of civic identity linked to mythic historical memory. Looking through an interdisciplinary lens, theories of space offer a conceptual framework for imagining how the Venetian cityscape was created and evolved into one of the most diverse and unique cityscapes in the sixteenth century. (shrink)

This study explored spatial navigation alongside several other cognitive abilities that are thought to share common underlying neurocognitive mechanisms (e.g., the capacity for self-projection, scene construction, or mental simulation), and which we hypothesised may be impaired in autism spectrum disorder (ASD). Twenty intellectually high-functioning children with ASD (with a mean age of ~8 years) were compared to 20 sex, age, IQ, and language ability matched typically developing children on a series of tasks to assess spatial navigation, episodic memory, (...) episodic future thinking (also known as episodic foresight or prospection), theory of mind, relational memory, and central coherence. This is the first study to explore these abilities concurrently within the same sample. Spatial navigation was assessed using the “memory island” task, which involves finding objects within a realistic, computer simulated, three-dimensional environment. Episodic memory and episodic future thinking were assessed using a past and future event description task. Theory of mind was assessed using the “animations” task, in which children were asked to describe the interactions between two animated triangles. Relational memory was assessed using a recognition task involving memory for items (line drawings), patterned backgrounds, or combinations of items and backgrounds. Central coherence was assessed by exploring differences in performance across segmented and unsegmented versions of block design. Children with ASD were found to show impairments in spatial navigation, episodic memory, episodic future thinking, and central coherence, but not theory of mind or relational memory. Among children with ASD, spatial navigation was found to be significantly negatively related to number of repetitive behaviours. In other words, children who showed more repetitive behaviours showed poorer spatial navigation. The theoretical and practical implications of the results are discussed. (shrink)

As symbols of adaptability and transformation, together with qualities of vigilance and intelligence, we argue the relevance of dragons for spatial planning in China. We develop a metaphorical concept – the green dragon – for grasping the condition of contemporary Chinese societies and for facilitating the development of theories and practices of spatial planning which are able to face the challenges of rapid change. We ask Chinese scholars and spatial planners to liberate Deleuzian potential for strategic (...) class='Hi'>spatial planning in a ‘becoming-between, coming-together’ of concepts which can effectively make a difference in the world. Having outlined what we regard as key transversals or diagonals between our reading of Gilles Deleuze and aspects of Chinese philosophy, we then offer the metaphor of strategic spatial planning as Chinese literati landscape painting. This is a form of painting which rejects the idea of the world being supremely organised from a particular point of view, preferring to paint immanence and transformation. Chinese literati landscape paintings, like philosophy and strategic spatial planning, ‘look only at the movements’. We conclude that connections between what concepts of Chinese philosophy and those of Gilles Deleuze can do, suggest that in China, a conception of strategic spatial planning as metaphorical green dragon may offer academics and planning practitioners a transverse way to relate the legacies of past philosophies and current thinking. (shrink)

Cognitive Science, Volume 46, Issue 4, April 2022.

When do several objects compose a further object? The last twenty years have seen a great deal of discussion of this question. According to the most popular view on the market, there is a physical object composed of your brain and Jeremy Bentham’s body. According to the second-most popular view on the market, there are no such objects as human brains or human bodies, and there are also no atoms, rocks, tables, or stars. And according to the third-ranked view, there (...) are human bodies, but still no brains, atoms, rocks, tables, or stars. Although it’s pleasant to have so many crazy-sounding views around, I think it would also be nice to have a commonsense option available. The aim of this paper is to offer such an option. The approach I offer begins by considering a mereological question other than the standard one that has been the focus of most discussions in the literature. I try to show that the road to mereological sanity begins with giving the most straightforward and commonsensical answer to this other question, and then extending that answer to further questions about the mereology of physical objects. On the approach I am recommending, it turns out that all of the mereological properties and relations of physical objects are determined by their spatial properties and relations. (shrink)

Research on spatial thinking requires reliable and valid measures of individual differences in various component skills. Spatial perspective taking (PT)—the ability to represent viewpoints different from one's own—is one kind of spatial skill that is especially relevant to navigation. This study had two goals. First, the psychometric properties of four PT tests were examined: Four Mountains Task (FMT), Spatial Orientation Task (SOT), Perspective-Taking Task for Adults (PTT-A), and Photographic Perspective-Taking Task (PPTT). Using item response theory (...) (IRT), item difficulty, discriminability, and efficiency of item information functions were evaluated. Second, the relation of PT scores to general intelligence, working memory, and mental rotation (MR) was assessed. All tasks showed good construct validity except for FMT. PPTT tapped a wide range of PT ability, with maximum measurement precision at average ability. PTT-A captured a lower range of ability. Although SOT contributed less measurement information than other tasks, it did well across a wide range of PT ability. After controlling for general intelligence and working memory, original and IRT-refined versions of PT tasks were each related to MR. PTT-A and PPTT showed relatively more divergent validity from MR than SOT. Tests of dimensionality indicated that PT tasks share one common PT dimension, with secondary task-specific factors also impacting the measurement of individual differences in performance. Advantages and disadvantages of a hybrid PT test that includes a combination of items across tasks are discussed. (shrink)

Research on spatial thinking requires reliable and valid measures of individual differences in various component skills. Spatial perspective taking (PT)—the ability to represent viewpoints different from one's own—is one kind of spatial skill that is especially relevant to navigation. This study had two goals. First, the psychometric properties of four PT tests were examined: Four Mountains Task (FMT), Spatial Orientation Task (SOT), Perspective-Taking Task for Adults (PTT-A), and Photographic Perspective-Taking Task (PPTT). Using item response theory (...) (IRT), item difficulty, discriminability, and efficiency of item information functions were evaluated. Second, the relation of PT scores to general intelligence, working memory, and mental rotation (MR) was assessed. All tasks showed good construct validity except for FMT. PPTT tapped a wide range of PT ability, with maximum measurement precision at average ability. PTT-A captured a lower range of ability. Although SOT contributed less measurement information than other tasks, it did well across a wide range of PT ability. After controlling for general intelligence and working memory, original and IRT-refined versions of PT tasks were each related to MR. PTT-A and PPTT showed relatively more divergent validity from MR than SOT. Tests of dimensionality indicated that PT tasks share one common PT dimension, with secondary task-specific factors also impacting the measurement of individual differences in performance. Advantages and disadvantages of a hybrid PT test that includes a combination of items across tasks are discussed. (shrink)

Three studies were conducted to examine the relation of spatial visualization to solving kinematics problems that involved either predicting the two‐dimensional motion of an object, translating from one frame of reference to another, or interpreting kinematics graphs. In Study 1, 60 physics‐naíve students were administered kinematics problems and spatial visualization ability tests. In Study 2, 17 (8 high‐ and 9 low‐spatial ability) additional students completed think‐aloud protocols while they solved the kinematics problems. In Study 3, the eye (...) movements of fifteen (9 high‐ and 6 low‐spatial ability) students were recorded while the students solved kinematics problems. In contrast to high‐spatial students, most low‐spatial students did not combine two motion vectors, were unable to switch frames of reference, and tended to interpret graphs literally. The results of the study suggest an important relationship between spatial visualization ability and solving kinematics problems with multiple spatial parameters. (shrink)

Human perception has long been a critical subject of design thinking. While various studies have stressed the link between thinking and acting, particularly in spatial experience, the term “design thinking” seems to disconnect conceptual thinking from physical expression or process. Spatial perception is multimodal and fundamentally bound to the body that is not a mere receptor of sensory stimuli but an active agent engaged with the perceivable environment. The body apprehends the experience in which (...) one’s kinesthetic engagement and knowledge play an essential role. Although design disciplines have integrated the abstract, metaphoric, and visual aspects of the body and its movement into conceptual thinking, studies have pointed out that design disciplines have emphasized visuality above the other sensory domains and heavily engaged with the perception of visual configurations, relying on the Gestalt principles. Gestalt psychology must be valued for its attention to a whole. However, the theories of design elements and principles over-empathizing such visuality posit the aesthetics of design mainly as visual value and understate other sensorial and perceptual aspects. Although the visual approach may provide a practical means to represent and communicate ideas, a design process heavily driven by visuality can exhibit weaknesses undermining certain aspects of spatial experience despite the complexity. Grounded in Merleau-Ponty’s notion of multisensory perception, this article discusses the relationship between body awareness and spatial perception and its implication for design disciplines concerning built environments. Special attention is given to the concepts of kinesthetic and synesthetic phenomena known as multisensory and cross-sensory, respectively. This discussion integrates the corporeal and spatiotemporal realms of human experience into the discourse of kinesthetic and synesthetic perceptions. Based on the conceptual, theoretical, and precedent analyses, this article proposes three models for design thinking: Synesthetic Translation, Kinesthetic Resonance, and Kinesthetic Engagement. To discuss the concepts rooted in action-based perception and embodied cognition, this study borrows the neurological interpretation of haptic perception, interoception, and proprioception of space. This article suggests how consideration of the kinesthetic or synesthetic body can deepen and challenge the existing models of the perceptual aspects of environmental psychology adopted in design disciplines. (shrink)

This study examined individual differences in spatial abilities of architecture students. Students at different educational levels were assessed on spatial ability tests that varied in their domain-specificity to architecture, with the hypothesis that larger differences between beginner and advanced students will emerge on more domain-specific tests. We also investigated gender differences in test performance and controlled for general reasoning ability across analyses. In a cross sectional study, master students (N= 91) outperformed beginners (N= 502) on two novel tests (...) involving perspective taking and object composition, as well as on a standardized visualization of cross-sections test, but not on a standardized mental rotations test. Longitudinally (N= 117), spatial performance improved after the first bachelor year on visualization of cross-sections, object composition and mental rotation. Although both genders showed higher spatial test performance with increased experience, male students outperformed females across tests and levels of education. The results overall confirmed improvements in spatial performance during architecture studies, with partial support for the domain-specificity hypothesis. A gender gap among advanced students calls for further examining architecture-specific spatial thinking. (shrink)

The main topic of my paper concerns the theological-philosophical nexus between the intensive and qualitative spatiality of the Monad and the Origenian idea of Apokatastasis as a nexus that can clarify Benjamin's latest idea of the Messianic World. The first step will be, therefore, to explain Benjamin's use of the Origenian notion of Apokatastasis in his Essay on Leskov and in the Passagenwerk. Secondly, I will discuss how and to what extent such use is relevant for Benjamin's idea of Messianism. (...) Thirdly, I will propose the thesis that, for Benjamin, a messianic idea of time implies a monadological idea of space. In this regard, the relationship between continuity and discontinuity, which is crucial to understand the late Benjamin's idea of history, must be understood precisely as a dialectical relationship that involves not only time but also space. The figure of intermittence – as we shall see – expresses in the most suitable way the intertwining of space and time as dialectically and messianicaly oriented. This sequence of logical steps and critical considerations will shed light on the true nature of Benjamin's idea of dialectics and on its relationship to the idea of the totality. The real term of confrontation of Benjamin's late philosophy does not concern, therefore, Heidegger, but Hegel. In the light of this confrontation, Heidegger's Being and Time is already in pieces. It is as it were – we can say – behind Benjamin's movement of thought. (shrink)

In this article we review the discussion over the thesis that language serves as an integrator of contents coming from different cognitive modules. After presenting the theoretical considerations, we examine two strands of empirical research that tested the hypothesis — spatial cognition and mathematical cognition. The idea shared by both of them is that each is composed of two separate modules processing information of a specific kind. For spatial thinking these are geometric information about the location of (...) the object and the information about the object’s properties such as color or size. For mathematical thinking, they are the absolute representation of small numbers and the approximate representation of numerosities. Language is said to integrate the two kinds of information within each of these domains, which the reviewed data demonstrates. In the final part of the paper, we offer some comments on the theoretical side of the discussion. (shrink)

In this paper, I provide an account of the spatiality of olfactory experiences in terms of topological properties. I argue that thinking of olfactory experiences as making the subject aware of topological properties enables us to address popular objections against the spatiality of smells, and it makes sense of everyday spatial olfactory phenomenology better than its competitors. I argue for this latter claim on the basis of reflection on thought experiments familiar from the philosophical literature on olfaction, as (...) well as on the basis of some empirical data about the localization of smells. I conclude by suggesting how the naïve‐topology framework could be applied in debates about the spatiality of other types of experiences. (shrink)

Thinking about space is thinking about spatial things. The table is on the carpet; hence the carpet is under the table. The vase is in the box; hence the box is not in the vase. But what does it mean for an object to be somewhere? How are objects tied to the space they occupy? This book is concerned with these and other fundamental issues in the philosophy of spatial representation. Our starting point is an analysis (...) of the interplay between mereology (the study of part/whole relations), topology (the study of spatial continuity and compactness), and the theory of spatial location proper. This leads to a unified framework for spatial representation understood quite broadly as a theory of the representation of spatial entities. The framework is then tested against some classical metaphysical questions such as: Are parts essential to their wholes? Is spatial colocation a sufficient criterion of identity? What (if anything) distinguishes material objects from events and other spatial entities? The concluding chapters deal with applications to topics as diverse as the logical analysis of movement and the semantics of maps. (shrink)

Reinhart Koselleck never gave spatial aspects centre stage in his work, but is nevertheless referred to as a pioneer of the ‘spatial turn’. This article explores this paradox by examining Koselleck's understanding of and approach to spatial aspects, the role they played in his work, and the reception of his work on spatial matters by other scholars. The aim is to achieve a better grasp of Koselleck's work and to clarify in what sense we can label (...) him a pioneer of the ‘spatial turn’. The article presents three arguments: (1) Spatial aspects represent a somewhat marginal and sketchy rather than integral part of Koselleck's thinking, and they stand in the shadow of his much stronger interest in historical time. (2) Koselleck's work nevertheless contains spatial analytical features, which embody, respectively, anthropological and social, geographical and geopolitical, and phenomenological and linguistic dimensions. (3) The reception of the spatial aspects of Koselleck’ work is disparate and unconnected, and those finding inspiration in Koselleck do not regard him as a spatial thinker. These caveats, the article concludes, should be kept in mind in discussions of whether Koselleck ought to be understood as a pioneer of the ‘spatial turn’. (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).

Affordances are action-possibilities, ways of relating to and acting on things in our world. They help us understand how these things mean what they do and how we have bodily access to our world more generally. But what happens when this access is ruptured or impeded? I consider this question in the context of psychopathology and reports that describe this experience. I argue that thinking about the bodily consequences of losing access to everyday affordances can help us better understand (...) these reports. An affordance-based approach to psychopathology can illuminate some of the causes, as well as the experiential character and consequences, of affective disorders and diminished spatial agency in self-world disturbances. It also highlights some under-explored ethical and political dimensions of these issues that need further attention. (shrink)

Within the context of Heidegger’s claim that his thinking has moved from the “meaning of being” to the “truth of being” and finally to the “place of being,” this paper examines the “spatial” motifs that become pronounced in his post-1930 attempts to think being apart from temporality. My contention is that his “shift” (Wendung) in thinking was a move beyond his earlier focus upon the project-horizon of the meaning (Sinn) of being, i.e., time, based on the existential (...) hermeneutic of mortality, and instead towards a focus upon the “space”—variously discussed in terms of the open, the clearing, the expanse, the region, etc.—that allows fur such horizonal projection. The very matter of thought that becomes discussed in the 1930s Beiträge as the “turning” (Kehre) of “en-ownment” (Ereignis) involves this clearing or opening of a “space” in the strife of unconcealment-concealment. This in turn underscores the alterity from out of which the emission of the Sinn of being is possible. In the 1940s and ‘50s this spacing becomes developed in terms of a “regionalizing” (Gegnen) in explicit distinction from the “horizon.” I shall also examine the implications for human spatiality, i.e., our receptivity vis-à-vis this alterity of Ereignis or Gegnen, which Heidegger discusses in terms of “letting” or “releasement.”. (shrink)

Spatial relations are central to geometrical thinking. With respect to the classical elementary geometry of Euclid’s Elements, a distinction between co-exact, or qualitative, and exact, or metric, spatial relations has recently been advanced as fundamental. We tested the universality of intuitions of these relations in a group of Senegalese and Dutch participants. Participants performed an odd-one-out task with stimuli that in all but one case display a particular spatial relation between geometric objects. As the exact/co-exact distinction (...) is closely related to Kosslyn’s categorical/coordinate distinction, a set of stimuli for testing all four types was used. Results suggest that intuitions of all spatial relations tested are universal. Yet, culture has an important effect on performance: Dutch participants outperformed Senegalese participants and stimulus layouts affect the categorical and coordinate processing in different ways for the two groups. Differences in level of education within the Senegalese participants did not affect performance. (shrink)

This paper develops a critical engagement with ‘cosmopolitanism’ and specifically the geographical imaginations it implicates. It does so in order to work through some of the geographical closures in the new cosmopolitanism literature and, further, to suggest alternative — more uncertain and speculative — spatial imaginations for modes of living together with radical alterity. The paper is written in the context of the wealth of recent literature that has sought to recuperate cosmopolitanism as a progressive political philosophy and imagination. (...) Part of the paper’s intervention, however, is to suggest that mechanisms and political imaginations for living together might in fact gain much by stepping out from cosmopolitanism’s conceptual shadow. First, the paper argues that implicated within much of the new cosmopolitan literature is a planetary consciousness that has a long historical antecedence in western thought. The paper stresses the problematic textures of the planetary geographical imaginations embedded within avowedly cosmopolitan discourse, arguing that the ‘cosmos’ of cosmopolitanism is no geographically innocent signifier. It is in fact tethered to an imperial Apollonian gaze that cannot help but rekindle ancient Greek notions of formal order and beauty, Pythagorean beliefs in a universe of harmony, and their realization in western liberalism and particularly US Cold War imperialism. Second, drawing upon postcolonial re-readings of the planet and critical geographical mobilizations of place, the paper suggests alternative, less certain, and less avowedly ‘cosmopolitan’ imaginations that have the capacity to engage difference in non-assimilatory terms. Cumulatively, the paper is an attempt to answer one simple question: what difference does it make to think geographically about cosmopolitanism? (shrink)

This collection of essays brings together research on sense modalities in general and spatial perception in particular in a systematic and interdisciplinary way. It updates a long-standing philosophical fascination with this topic by incorporating theoretical and empirical research from cognitive science, neuroscience, and psychology. The book is divided thematically to cover a wide range of established and emerging issues. Part I covers notions of objectivity and subjectivity in spatial perception and thinking. Part II focuses on the canonical (...) distal senses, such as vision and audition. Part III concerns the chemical senses, including olfaction and gustation. Part IV discusses bodily awareness, peripersonal space, and touch. Finally, the volume concludes with Part V, on multimodality. Spatial Senses is an important contribution to the scholarly literature on the philosophy of perception that takes into account important advances in the sciences. (shrink)

One measure of the validity of [Joseph] Frank's insight is the extent to which other versions of his ideas appear in other contexts: for if "spatial form" refers to something real, it cannot have escaped notice by other readers. One thinks, for example, of Northrop Frye's description of the critic viewing all the elements of the poem as a simultaneous array before him; or of Gaston Bachelard's evocative descriptions of The Poetics of Space. Or Pound's interest in ideographic script; (...) or the frequent critical association of modern literature with impressionist painting. Or Eliot's poet synthesizing Spinoza, the sound of the typewriter, and the smell of cookery into a unified whole. Or—at the root of it all, perhaps—Poe's insistence on the unified effect of the story or poem.1 All of these instances reflect a more or less casual assumption of the basic premise of Frank's essay. More recently another critic, Frank Kermode, has offered an alternative description of this general problem. In The Romantic Image2 he assesses symbolist poetic theory; here the verbal image , autonomous and autotelic, presumably unites meaning and feeling without intervening reflection or discourse: the "image" so hypostatized seems very close to a "spatial" form, and certainly the suppression of discourse, of reflection generally, follows from the disruption of syntax and narrative that results from the impulse toward "spatial" effects. Provisionally, we might say that Joseph Frank's essay is grounded in an essentially formalist conception of the literary work as artifact, and that the striking features of his argument result from an attempt to assimilate extended works to a theory basically lyric in its orientation: as corollary, we must assume that the modern writers he cites had themselves operationally defined the concept in the course of their writing. · 1. Northrop Frye, "Literary Criticism," in The Aims and Methods of Scholarship in Modern Languages and Literature, ed. James Thorpe , p.65. See also Fables of Identity: Studies in Poetic Mythology , p. 21. Gaston Bachelard, The Poetics of Space, trans. Maria Jolas . Ernest Fenollosa, The Chinese Written Character as a Medium for Poetry, ed. Ezra Pound . T.S. Eliot, "The Metaphysical Poets," Selected Essays , p. 247. Edgar Allan Poe, review of Twice-Told Tales, in Works, 17 vols., ed. James A. Harrison 11: 104-13.· 2. Frank Kermode, The Romantic Image . William Holtz, professor of English at the University of Missouri-Columbia, is currently preparing an edition of an unpublished juvenile manuscript by Charlotte Brontë. (shrink)

Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation and geometry, such as, particularly, those collected in the second part of Studien zur Arithmetik und Geometrie (Hua XXI), but no completely articulate work on the subject. In this paper, I put forward an interpretation of what those views might have been. Husserl, I claim, distinguished among different conceptions of space, the space of perception (constituted from sensorial data by intentionally motivated psychic functions), that of (...) physical geometry (or idealized perceptual space), the space of the mathematical science of physical nature (in which science, not only raw perception has a word) and the abstract spaces of mathematics (free creations of the mathematical mind), each of them with its peculiar geometrical structure. Perceptual space is proto-Euclidean and the space of physical geometry Euclidean, but mathematical physics, Husserl allowed, may find it convenient to represent physical space with a non-Euclidean structure. Mathematical spaces, on their turn, can be endowed, he thinks, with any geometry mathematicians may find interesting. Many other related questions are addressed here, in particular those concerning the a priori or a posteriori character of the many geometric features of perceptual space (bearing in mind that there are at least two different notions of a priori in Husserl, which we may call the conceptual and the transcendental a priori). I conclude with an overview of Weyl’s ideas on the matter, since his philosophical conceptions are often traceable back to his former master, Husserl. (shrink)

In this article, we review approaches to modeling a connection between spatial and mathematical thinking across development. We critically evaluate the strengths and weaknesses of factor analyses, meta-analyses, and experimental literatures. We examine those studies that set out to describe the nature and number of spatial and mathematical skills and specific connections between these abilities, especially those that included children as participants. We also find evidence of strong spatial-mathematical connections and transfer from spatial interventions to (...) mathematical understanding. Finally, we map out the kinds of studies that could enhance our understanding of the mechanisms by which spatial and mathematical processing are connected and the principles by which mathematical outcomes could be enhanced through spatial training in educational settings. (shrink)

This paper reports a study of the roles of visuo-spatial and verbal working memory capacities in solving a planning task - the five-disc Tower of London (TOL) task. An individual differences approach was taken. Sixty adult participants were tested on 20 TOL tasks of varying difficulty. Total moves over the 20 TOL tasks was taken as a measure of performance. Participants were also assessed on measures of fluid intelligence (Raven's matrices), verbal short-term storage (Digit span), verbal working memory span (...) (Silly Sentence span), visuo-spatial short-term storage (Visual Pattern span and Corsi Block span), visuo-spatial working memory (Corsi Distance Estimation), visuo-spatial processing speed (Manikin test), and verbal speed (Rehearsal speed). Exploratory factor analysis using an oblique rotation method revealed three factors which were interpreted as (1) a visuo-spatial working memory factor, (2) an age-speed factor, and (3) a verbal working memory factor. The visuo-spatial and verbal factors were only moderately correlated. Performance on the TOL task loaded on the visuo-spatial factor but did not load on the other factors. It is concluded that the predominant goal-selection strategy adopted in solving the TOL relies on visuo-spatial working memory capacity and particularly involves the active ''inner scribe'' spatial rehearsal mechanism. These correlational analyses confirm and extend results previously obtained by use of dual task methods, (Phillips, Wynn, Gilhooly, Della Sala, & Logie, 1999). (shrink)

Emily Thomas questions the common claim that spiritual objects cannot be spatially located.

In lieu of an abstract, here is a brief excerpt of the content:Place and the "Spatial Turn" in Geography and in HistoryCharles W. J. WithersI. IntroductionA few years ago, British Telecom ran a newspaper advertisement in the British press about the benefits—and consequences—of advances in communications technology. Featuring a remote settlement in the north-west Highlands of Scotland, and with the clear implication that such "out-of-the-way places" were now connected to the wider world (as if they had not been before), (...) the advert proclaimed "Geography is History." What the advert signalled to as the "end" of geography in the sense of the social gradients associated with space and distance is what is known, variously, as "time-space convergence" and "time-space distanciation."1 The terms embrace not just the "collapse" of geographical space given technical advances (in travel time and in communications—consequences of what Castells calls "the information age" and "the network society"2), but also the idea that the modern world has become [End Page 637] more homogenized. One place is now much the same as another. Further, given the likelihood of such technical and cultural changes continuing into the future, geographical distinctiveness, evident in the particularity of place, would be a thing of the past: geography would indeed be history. There is, of course, much evidence to the contrary: that, in the face of "globalisation," questions of locality, sense of place and of identity in place matter now more than ever. Even, then, as Francis Fukuyama cautioned against the "death" of liberal democratic politics as The End of History,3 geography—that is, geography understood as questions to do with place, and questions to do with where you are in the world as part of questions about how you are and who you are in the world—has had considerably heightened significance and for some places and people more than others.4These notions of place—as a particular location, and the character or sense of place—are only part of the meanings associated with place in geographical and in historical work. Like space, its regular epistemic dancing partner in geographical ubiquity and metaphysical imprecision, place is a widespread yet complex term. What follows is historiographical in focus and, of necessity, partial in range. I offer a historiographical survey of the term place, principally but not alone within recent work in geography. In more detail, and with reference to one of the strong senses in which place is used, namely that of locale, "the local," or localness, I trace here the connections between place, space, and the idea of the local as evident in recent work in history and in geography, especially within the history and the geography of science. Particular attention is paid in this context to the distinctive features of what we may think of as the "spatial turn" in the history of science by looking at the idea of place and space in recent work in Enlightenment studies. My argument is three-fold. Notions of place and space, much debated by geographers, have been as central a concern for intellectual historians and historians of science as for philosophers and others, but they have been differently expressed. There is, I shall argue, value in looking at these different views in order to understand that whilst place is a commonplace term it is not agreed upon: working with imprecision has been both opportunity and restriction. In relation to work within the history of science and in Enlightenment studies, consideration of the so-called "spatial turn," of place [End Page 638] as social practice and of placing as a process in accounting for the uneven movement of ideas over space and time may help provide some precision and strengthen connections between geography and history.II. Place (In Geography): A Partial HistoriographyPlace is one of the most fundamental concepts in human geography. It is also one of the most problematic.5 Place, or small-scale regional space, features as a subdivision within the Classical tripartite division of cosmography (the earth in relation to other planetary bodies), geography (the earth as a whole) and chorography (parts of the earth or regional geography). So, too, does the distinction between chorography and chronology as... (shrink)

Three-to-five-year-old French children were asked to add or remove objects to or from linear displays. The hypothesis of a universal tendency to represent increasing number magnitudes from left to right led to predict a majority of manipulations at the right end of the rows, whatever children's hand laterality. Conversely, if numbers are not inherently associated with space, children were expected to favour laterality-consistent manipulations. The results showed a strong tendency to operate on the right end of the rows in right-handers, (...) but no preference in left-handers. These findings suggest that the task elicited a left-to-right oriented representation of magnitudes that counteracted laterality-related responses in left-handed children. The young age of children and the lack of a developmental trend towards right preference weaken the hypothesis of a cultural origin of this oriented representation. The possibility that our results are due to weaker brain lateralisation in left-handers compared to right-handers is addressed in Discussion section. (shrink)

Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation and geometry, such as, particularly, those collected in the second part of Studien zur Arithmetik und Geometrie (Hua XXI), but no completely articulate work on the subject. In this paper, I put forward an interpretation of what those views might have been. Husserl, I claim, distinguished among different conceptions of space, the space of perception (constituted from sensorial data by intentionally motivated psychic functions), that of (...) physical geometry (or idealized perceptual space), the space of the mathematical science of physical nature (in which science, not only raw perception has a word) and the abstract spaces of mathematics (free creations of the mathematical mind), each of them with its peculiar geometrical structure. Perceptual space is proto-Euclidean and the space of physical geometry Euclidean, but mathematical physics, Husserl allowed, may find it convenient to represent physical space with a non-Euclidean structure. Mathematical spaces, on their turn, can be endowed, he thinks, with any geometry mathematicians may find interesting. Many other related questions are addressed here, in particular those concerning the a priori or a posteriori character of the many geometric features of perceptual space (bearing in mind that there are at least two different notions of a priori in Husserl, which we may call the conceptual and the transcendental a priori). I conclude with an overview of Weyl’s ideas on the matter, since his philosophical conceptions are often traceable back to his former master, Husserl. (shrink)

This paper considers how 5- to 11-year-olds’ verbal reasoning about the causality underlying extended, dynamic natural processes links to various facets of their statistical thinking. Such continuous processes typically do not provide perceptually distinct causes and effect, and previous work suggests that spatial–temporal analysis, the ability to analyze spatial configurations that change over time, is a crucial predictor of reasoning about causal mechanism in such situations. Work in the Humean tradition to causality has long emphasized on the (...) importance of statistical thinking for inferring causal links between distinct cause and effect events, but here we assess whether this is also viable for causal thinking about continuous processes. Controlling for verbal and non-verbal ability, two studies administered a battery of covariation, probability, spatial–temporal, and causal measures. Results indicated that spatial–temporal analysis was the best predictor of causal thinking across both studies, but statistical thinking supported and informed spatial–temporal analysis: covariation assessment potentially assists with the identification of variables, while simple probability judgment potentially assists with thinking about unseen mechanisms. We conclude that the ability to find out patterns in data is even more widely important for causal analysis than commonly assumed, from childhood, having a role to play not just when causally linking already distinct events but also when analyzing the causal process underlying extended dynamic events without perceptually distinct components. (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)

Thinking Space is ideal reading for those looking to learn about the Ospatial turn1 in social and cultural theory. As theorists have begun using using geographical concepts and metaphors to think about the complex and differentiated world this book examines the way they use spatial ideas, what role these ideas play in their thinking and what this means for how we think about theory and space. Among the writers discussed are: Simmel, Bakhtin, Deleuze, Cixous, Lefebvre, Lacan, Bourdieu, (...) Foucault and Fanon. (shrink)