The complement of a point subset in a projective space and a Grassmann space

In a projective space we fix some set of points, a horizon, and investigate the complement of that horizon. We prove, under some assumptions on the size of lines, that the ambient projective space, together with its horizon, both can be recovered in that complement. Then we apply this result to show something similar for Grassmann spaces.     

A physicalist reinterpretion of ‘phenomenal’ spaces

This paper argues that phenomenal or internal metrical spaces are redundant posits. It is shown that we need not posit an internal space-time frame, as the physical space-time suffices to explain geometrical perception, memory and planning. More than the internal space-time frame, the idea of a phenomenal colour space has lent credibility to the idea of internal spaces. It is argued that there is no phenomenal colour space that underlies the various psychophysical colour spaces; it is parasitic upon physical and psychophysical colour spaces. The argumentation is further extended to other sensory spaces and generalised quality spaces.     

Egocentric Distance Perception Disorder in Amblyopia

Egocentric distance perception is a psychological process in which observers use various depth cues to estimate the distance between a target and themselves. The impairment of basic visual function and treatment of amblyopia have been well documented. However, the disorder of egocentric distance perception of amblyopes is poorly understood. In this review, we describe the cognitive mechanism of egocentric distance perception, and then, we focus on empirical evidence for disorders in egocentric distance perception for amblyopes in the whole visual space. In the personal space (within 2 m), it is difficult for amblyopes to show normal hand-eye coordination; in the action space (within 2 m~30 m), amblyopes cannot accurately judge the distance of a target suspended in the air. Few studies have focused on the performance of amblyopes in the vista space (more than 30 m). Finally, five critical topics for future research are discussed: 1) it is necessary to systematically explore the mechanism of egocentric distance perception in all three spaces; 2) the laws of egocentric distance perception in moving objects for amblyopes should be explored; and 3) the comparison of three subtypes of amblyopia is still insufficient; 4) study the perception of distance under another theoretical framework; 5) explore the mechanisms of amblyopia by Virtual Reality.     

盲童的空间概念及其组织

以63名盲童为被试, 对17对空间词作相似性的分类。结果表明：⑴盲童的空间词概念结构有两个维度：①状态/方位;②自身参照/他物参照。⑵盲童的空间认知围绕着4个主题：①身体周围的三维方位;②空间距离;③三维边界;④空间状态。⑶视觉的缺失决定着盲童的空间词组织的特点, 语言、文化和教育对盲童的空间概念及其组织也具有重要影响。     

On the assessment of procedural knowledge: From problem spaces to knowledge spaces

By generalizing and completing the work initiated by Stefanutti and Albert (2003, Journal of Universal Computer Science, 9, 1455), this article provides the mathematical foundations of a theoretical approach whose primary goal is to construct a bridge between problem solving, as initially conceived by Newell and Simon (1972, Human problem solving. Englewood Cliffs, NJ: Prentice-Hall.), and knowledge assessment (Doignon and Falmagne, 1985, International Journal of Man-Machine Studies, 23, 175; Doignon and Falmagne, 1999, Knowledge spaces. Berlin, Germany: Springer-Verlag.; Falmagne et al., 2013, Knowledge spaces: Applications in education. New York, NY: Springer-Verlag; Falmagne and Doignon, 2011, Learning spaces: Interdisciplinary applied mathematics. Berlin, Germany: Springer-Verlag.). It is shown that the collection of all possible knowledge states for a given problem space is a learning space. An algorithm for deriving a learning space from a problem space is illustrated. As an example, the algorithm is used to derive the learning space of a neuropsychological test whose problem space is well known: the Tower of London (TOL; Shallice, 1982, Philosophical Transactions of the Royal Society of London B: Biological Sciences, 298, 199). The derived learning space could then be used for adaptively assessing individual planning skills with the TOL.     

2D location biases depth-from-disparity judgments but not vice versa

Visual cognition in our 3D world requires understanding how we accurately localize objects in 2D and depth, and what influence both types of location information have on visual processing. Spatial location is known to play a special role in visual processing, but most of these findings have focused on the special role of 2D location. One such phenomena is the spatial congruency bias, where 2D location biases judgments of object features but features do not bias location judgments. This paradigm has recently been used to compare different types of location information in terms of how much they bias different types of features. Here we used this paradigm to ask a related question: whether 2D and depth-from-disparity location bias localization judgments for each other. We found that presenting two objects in the same 2D location biased position-in-depth judgments, but presenting two objects at the same depth (disparity) did not bias 2D location judgments. We conclude that an object’s 2D location may be automatically incorporated into perception of its depth location, but not vice versa, which is consistent with a fundamentally special role for 2D location in visual processing.     

Bisecting the mental number line in near and far space

Much evidence suggests that common posterior parietal mechanisms underlie the orientation of attention in physical space and along the mental number line. For example, the small leftward bias (pseudoneglect) found in paper-and-pencil line bisection is also found when participants “bisect” number pairs, estimating (without calculating) the number midway between two others. For bisection of physical lines, pseudoneglect has been found to shift rightward as lines are moved from near space (immediately surrounding the body) to far space. We investigated whether the presentation of stimuli in near or far space also modulated spatial attention for the mental number line. Participants bisected physical lines or number pairs presented at four distances (60, 120, 180, 240 cm). Clear rightward shifts in bias were observed for both tasks. Furthermore, the rate at which this shift occurred in the two tasks, as measured by least-squares regression slopes, was significantly correlated across participants, suggesting that the transition from near to far distances induced a common modulation of lateral attention in physical and numerical space. These results demonstrate a tight coupling between number and physical space, and show that even such prototypically abstract concepts as number are modulated by our on-line interactions with the world.     

Negotiating faith on the Coventry Road: British-Muslim youth identities in the ‘third space’

This article, which arises from three years of ethnographic fieldwork, explores the negotiation of faith, place and social identity amongst British-Muslim youth in one inner-city community in Birmingham, UK. Narratives drawn from fieldwork are brought into a critical dialogue with theoretical discourse about the nature of culture, the built urban environment, youth identities and contextualised religious discourse within the British-Muslim community. The article suggests that a dynamic definition of culture as an open and ongoing process of meaning-making and the utilisation of ‘third space’ thinking are needed to adequately explore the multifaceted contextual religious discourse of British-Muslim youth. The article seeks to answer a key question: how do urban British-Muslim youth negotiate faith and meaning in a society that increasingly questions their presence and what might their experience have to teach wider society about the impact that contemporary urbanism has on the articulation of personal, political and religious identity?     

Mars: Science Before Settlement

I review Mars science goals, including those associated with the study of Mars’ past and present habitability, as well as those associated with understanding Mars’ atmosphere and climate. I argue that Mars settlement initiatives would likely frustrate attempts to satisfy many of these goals, and therefore that it would be prudent for the Mars science community to prioritize those investigations most threatened by human settlement of Mars.     

Clinging,gripping, holding,containment: Reflections on a survival reflex and the development of a capacity to separate

This paper attempts to describe how, in the very first months of extra‐uterine life, personality structures are formed around notions of personal space, separateness, attachment and individuation. The contribution of a forgotten Hungarian analyst, Imre Hermann, who wrote about the ‘clinging reflex’, will be explored in relation to the origin of Bowlby's concept of attachment and Rey's theoretical understanding of personal space. Particular attention will be given to transitions, transitional experiences and the development of a sense of internal space. Vignettes from infant observations will be used to illustrate the theoretical frame of reference. Clinical material from the analysis of a child and an adult patient will be provided to postulate how a distorted perception of personal space and separateness in the first few months of life may affect the capacity to attach and to individuate.     

远、近空间内注意加工的分离

临床证据发现空间忽视症病人对于近处和远处空间内的注意加工存在差异,表现为空间忽视只发生于近处空间或只发生于远处空间,提示近处空间与远处空间在脑内可能是分别表征的。对健康成人的研究也发现了与之类似的近处空间和远处空间注意的分离现象,即在近处空间表现出左偏的伪忽视现象,在远处空间表现出左偏减弱或者右偏的趋势。本文综述了远、近空间内注意加工分离的实验证据以及采用线段二分任务这一主要的研究范式相关的实验结果,并且着重指出了远、近空间的划分不是绝对的,而是动态可变的研究证据。最后,指出了将来的研究需要深入考察空间参照系统在远、近空间知觉中的作用,以及关注社会交互情境下的远、近空间距离认知的动态变化。     

儿童早期空间非标准测量能力发展研究进展

测量是数学的主题之一。空间非标准测量能力的发展对儿童数学认知能力的发展有重要作用,对儿童思维抽象性、逻辑性、创造性的培养,问题解决能力的提高有重要影响。文章通过对近四十年来儿童空间非标准测量能力发展研究的成果进行概括分析,发现研究者主要对儿童空间非标准测量的认知加工线索,长度测量策略与工具的使用,空间非标准测量知识的获得顺序以及相关的测量教学顺序,空间非标准测量能力与守恒和推理能力的关系等问题进行了研究。并在此基础上提出了儿童空间非标准测量能力发展研究需进一步探讨的问题。     

‘Any room won’t do.’ Clinical psychologists’ understanding of the consulting room. An interview study

In the social sciences, there is increasing interest in spatial practices and the meaning of places. The meaning of the psychotherapeutic room and its boundaries has traditionally been underlined in psychodynamic practice. In this study we investigated how clinical psychologists, working from different perspectives and with varying interventions and populations understand and use the consulting room. Five clinical psychologists were interviewed about how they perceive and use consulting rooms. The interviews were analysed using Interpretative Phenomenological Analysis. The participants understood the consulting room as a logistic unit but also as a welcoming place for relational encounters and sensed that spatial stability was important for their capacity to be fully attentive to their clients. Moreover, technological booking systems could hinder clinical work. The results were understood with respect to Winnicott’s theories of transitional space and holding. In sum, the importance of the room does not seem to be of concern exclusively to psychodynamic psychologists. On the contrary, it seems as if psychologists working with varying interventions and from different perspectives emphasise stable and personal consulting rooms that permit them to adapt to the needs of the clients, be attentive, and avoid disturbances.     

Doing the opposite to what another person is doing

The three studies presented here aim to contribute to a better understanding of the role of the coordinate system of a person's body and of the environment in spatial organization underlying the recognition and production of gestures. The paper introduces a new approach by investigating what people consider to be opposite gestures in addition to identical gestures.     

从科学的时空观看现代临床医学的局限性

时空是世间万物存在的载体,也是万物运行的物质基础。在一定意义上讲空间和时间都是无限的。然而,我们所经历的时空又都是有限的。本文从时空的维度论证现代临床医学的局限性和有限性。从时间的维度上看,无论在门诊还是住院期间我们对疾病的认识仅仅看到疾病过程中的中段或极期,而没有观察到疾病的潜伏期或前驱期,更没有观察到疾病的康复期。从空间的维度上看,现代临床医学分科过细使我们无法从整体上完整地理解疾病的全貌和本质,以及各个脏器的结构和功能变化之间的内在联系。     

Lack of effects of environmental changes on agonistic behaviour patterns in a stabilizing group of stumptailed macaques (Macaca arctoides)

To evaluate how constant the form of agonistic interactions in the event of environmental changes is, a group of 11 stumptailed macaques, formed shortly before the start of the study, was observed under the following spatial conditions: in 10 and 18 m² cages, and in a 50,000 m² woodland. Results showed that the frequency of agonistic interactions was little affected by spatial density; however, the number of participants involved in aggressive interactions increased in the cage. Formal biting, which presumably acts as a regulator of social tension, was less frequent in the park. Patterning of agonistic interactions was little affected by spatial density. Such “robustness” makes the form of aggression liable to be used as a potentially useful parameter in interspecific comparisons.     

Quality spaces: Mental and physical

Perceptual-role theories of mental qualities hold that we can discover the nature of a being’s mental qualities by investigating that being’s capacity to make perceptual discriminations. Many advocates of perceptual-role theories hold that the best explanation of these capacities is that mental quality spaces are homomorphic to the spaces of the physical properties that they help to discriminate. This paper disputes this thesis on largely empirical grounds, and offers an alternative. The alternative explains interesting patterns in our perception of color differences and similarities across edges, emphasizing the importance of visual discontinuities. Further, it provides a simple explanation of the intransitivity of indiscriminability. The homomorphism thesis can explain this intransitivity only with the addition of an independently unsupported empirical hypothesis. Also, in contrast to the homomorphism thesis, the alternative view is perfectly consistent with empirical data that suggest (a) that the visual system uses the dynamic allocation of a limited range of responses in order to discriminate a wider range of physical stimuli and (b) that we are much better at detecting changes in relative luminance than changes in absolute luminance. Moreover, it does all this while using a more efficient strategy for encoding sensory information.     

Social Identity and Spatial Behaviour: The Relationship between National Category Salience, the Sense of Home, and Labour Mobility across National Boundaries

This study explores the impact of manipulating the salience of national categories upon the willingness of highly identifying Scots to take up either short-term or long-term jobs in Scotland as compared to England. The results support the hypotheses (a) that high-identifying Scots increase preference for intra- over extranational locations when national categories are salient, (b) that this effect is fully mediated by "fitting in"—that is, the sense of being "at home" in Scottish as compared to English locations, and (c) that these relationships only hold for long-term as opposed to short-term jobs. We discuss these results in terms of the impact of identity definitions upon spatialised action and the economic/political importance of this relationship.     

More evidence on size modification in spatial axes systems of varying complexity

Pictorial space can be conceptualized as aggregate space (where figures compete for limited available space) or as axial space (where space is infinite and exists independently of figures). That these two kinds of space concepts follow a developmental sequence was tested by investigating size regulation mechanisms in 7- to 12-year-old children's figure drawings. An earlier longitudinal study had shown that the more figures were drawn and the more complex the spatial axes system, the smaller the figures. Two studies confirmed that object-driven size reduction was the size regulation mechanism in younger children, whereas axes-driven size reduction was the only factor regulating figure size in 12-year-old children. Size reduction occurred in a gradual fashion in younger children, whereas size reduction was more pronounced in crossed axes systems in older children. In addition, 7-year-old children showed a dynamic and fluid interaction between internal and external task demands for size regulation.     

Therapeutic Use of Space

ABSTRACT

The project described in this article addresses the therapeutic use of physical space in an outpatient counseling facility. It was theorized that an improved facility environment could be used as a practice tool when working with a vulnerable population. The authors undertook the project with limited time and finances. The process of the change project is discussed in detail in an attempt to encourage other counseling facilities and social service agencies to consider such an effort. Related literature from varied fields is reviewed. The article also relays client and staff feedback regarding the redecorated space and addresses design considerations such as the relative strengths and drawbacks to involving clients and staff in the process.