In this paper we develop a point-free approach to the study of topological spaces and functions on them, establish platforms for both and present some findings on recursive points. In the first sections of the paper, we obtain conditions under which our approach leads to the generation of ideal objects with which mathematicians work. Next, we apply the effective version of our approach to the real numbers, and make exact connections to the classical approach to recursive reals. In the succeeding (...) sections of the paper, we introduce machinery to produce functions on topological spaces and find succinct conditions which will be effectivized in our sequel. (shrink)

A propagator for a path space integral can be used to represent the and provides a natural way to model a control signal that is temporally segmented by placement of pairs of stimulating and recording electrodes. Although care must be exercised in interpreting the resulting measurement, the technique should prove useful to experimenters who study cerebellar functioning.

In this study I investigate several questions related to adaptive restoration, i.e. when a functioning piece of architecture operates with a different purpose to its original one, as well as the role of aesthetics in re-purposing, and the importance of the special forms of experience such a conversion provides. The questions connected to these architectural projects are not only theoretically inspiring, leading to diverse and broad fields of research in architecture, art and aesthetics, but are also crucial on a practical (...) level, and hence require caution and precise consideration, given the impact the final results of such projects may have, as well as in terms of the effect and efficiency of the new space. Creative and adaptive re-purpose, modification or complete change of function can have wonderful potential, as well as, obviously, presenting serious hazards to avoid. What is equally important, however, is that this will also contribute to a strengthening of awareness of architecture and its aesthetic qualities, hence further promoting the idea of safeguarding and care of edifices and of tangible heritage. (shrink)

Space can be understood through perception and language, but are the processes that represent spatial information the same in both cases? This paper reviews psychological evidence for the functional equivalence of spatial representations based on perceptual and linguistic inputs. It is proposed that spatial information is processed by a specialised spatial representation system (SRS) that creates geometric representations of space. The SRS receives inputs from perceptual and linguistic systems and uses these basic inputs to construct mental spatial models of the (...) observed or described environment. A mental spatial model is created by determining the coordinate locations of objects in the egocentric or allocentric frame of reference. The goal of the SRS is not to represent strictly what is perceived, but to model an environment that has an inherent three‐dimensional spatial structure. (shrink)

The mathematical structure of realist quantum theories has given rise to a debate about how our ordinary 3-dimensional space is related to the 3N-dimensional configuration space on which the wave function is defined. Which of the two spaces is our (more) fundamental physical space? I review the debate between 3N-Fundamentalists and 3D-Fundamentalists and evaluate it based on three criteria. I argue that when we consider which view leads to a deeper understanding of the physical world, especially given the deeper (...) topological explanation from the unordered configurations to the Symmetrization Postulate, we have strong reasons in favor of 3D-Fundamentalism. I conclude that our evidence favors the view that our fundamental physical space in a quantum world is 3-dimensional rather than 3N-dimensional. I outline lines of future research where the evidential balance can be restored or reversed. Finally, I draw lessons from this case study to the debate about theoretical equivalence. (shrink)

A natural extension theorem for strongly continuous mappings, the morphisms in the category of apartness spaces, is proved constructively.

The ontology of Bohmian mechanics includes both the universal wave function and particles. Proposals for understanding the physical significance of the wave function in this theory have included the idea of regarding it as a physically-real field in its 3N-dimensional space, as well as the idea of regarding it as a law of nature. Here we introduce and explore a third possibility in which the configuration space wave function is simply eliminated—replaced by a set of single-particle pilot-wave (...) fields living in ordinary physical space. Such a re-formulation of the Bohmian pilot-wave theory can exactly reproduce the statistical predictions of ordinary quantum theory. But this comes at the rather high ontological price of introducing an infinite network of interacting potential fields which influence the particles’ motion through the pilot-wave fields. We thus introduce an alternative approach which aims at achieving empirical adequacy with a more modest ontological complexity, and provide some preliminary evidence for optimism regarding the program of trying to replace the configuration space wave function with a set of fields in ordinary physical space. (shrink)

We give a partial answer to an important open problem in descriptive set theory, the Decomposability Conjecture for Borel functions on an analytic subset of a Polish space to a separable metrizable space. Our techniques employ deep results from effective descriptive set theory and recursion theory. In fact it is essential to extend several prominent results in recursion theory (e.g. the Shore-Slaman Join Theorem) to the setting of Polish spaces. As a by-product we give both positive and negative results on (...) the Martin Conjecture on the degree preserving Borel functions between Polish spaces. Additionally we prove results about the transfinite version as well as the computable version of the Decomposability Conjecture. (shrink)

‘Space does not exist fundamentally: it emerges from a more fundamental non-spatial structure.’ This intriguing claim appears in various research programs in contemporary physics. Philosophers of physics tend to believe that this claim entails either that spacetime does not exist, or that it is derivatively real. In this article, I introduce and defend a third metaphysical interpretation of the claim: reductionism about space. I argue that, as a result, there is no need to subscribe to fundamentality, layers of reality and (...) emergence in order to analyse the constitution of space by non-spatial entities. It follows that space constitution, if borne out, does not provide empirical evidence in favour of a stratified, Aristotelian in spirit, metaphysics. The view will be described in relation to two particular research programs in contemporary physics: wave function realism and loop quantum gravity. (shrink)

This book addresses the social, functional and symbolic dimensions of urban space in today’s world. The twelve essays range from a conceptual framing of the issues to case descriptions, rich with illustrations. Together they provide a thorough exploration of the nature and significance of social space and particular aspects of its distribution in today’s urban spaces and the various factors that are competing for it. -/- The book addresses a topic that is intrinsically interdisciplinary. Questions of space are examined from (...) a rich variety of perspectives from urban planning to political philosophy, shedding some light on this shadowy process. Some of the issues addressed include the dichotomies of public and private space, rights and duties regarding the use of space, and conflicts over its allocation. Well-reasoned and lively discussions are offered from the perspective of basic values and rights. The recognition of the specifics of (minority community) identity as an institutional policy is raised in opposition to “abstract distributive accounts of justice” – economic pressures by developers and would-be gentrifiers. (shrink)

How we experience space by listening: the concepts of aural architecture, with examples ranging from Gothic cathedrals to surround sound home theater. We experience spaces not only by seeing but also by listening. We can navigate a room in the dark, and "hear" the emptiness of a house without furniture. Our experience of music in a concert hall depends on whether we sit in the front row or under the balcony. The unique acoustics of religious spaces acquire symbolic meaning. Social (...) relationships are strongly influenced by the way that space changes sound. In Spaces Speak, Are You Listening?, Barry Blesser and Linda-Ruth Salter examine auditory spatial awareness: experiencing space by attentive listening. Every environment has an aural architecture.The audible attributes of physical space have always contributed to the fabric of human culture, as demonstrated by prehistoric multimedia cave paintings, classical Greek open-air theaters, Gothic cathedrals, acoustic geography of French villages, modern music reproduction, and virtual spaces in home theaters. Auditory spatial awareness is a prism that reveals a culture's attitudes toward hearing and space. Some listeners can learn to "see" objects with their ears, but even without training, we can all hear spatial geometry such as an open door or low ceiling. Integrating contributions from a wide range of disciplines—including architecture, music, acoustics, evolution, anthropology, cognitive psychology, audio engineering, and many others—Spaces Speak, Are You Listening? establishes the concepts and language of aural architecture. These concepts provide an interdisciplinary guide for anyone interested in gaining a better understanding of how space enhances our well-being. Aural architecture is not the exclusive domain of specialists. Accidentally or intentionally, we all function as aural architects. (shrink)

We extend Bishopʼs concept of function spaces to the concept of pre-function spaces. We show that there is an adjunction between the category of neighbourhood spaces and the category of Φ-closed pre-function spaces. We also show that there is an adjunction between the category of uniform spaces and the category of Ψ-closed pre-function spaces.

This paper considers the interpretive significance of the intersecting relationships between different conceptions of responsibility as they shift over space and time. The paper falls into two main sections. The first gives an account of several conceptions of responsibility: two conceptions founded in ideas of capacity; two founded in ideas of character, and one founded in the relationship between an agent and the outcome which she causes. The second main section uses this differentiated conceptual account to analyse and interpret certain (...) aspects of the contemporary criminal law of England and Wales. In conclusion, the paper considers a number of hypotheses about what the evidence of certain shifts in the relationship between the three families of responsibility-conception can tell us about the current state and significance of criminal law among other systems of social governance. (shrink)

Phase separation underlies the formation of biomolecular condensates. We hypothesize the cellular processes that occur within condensates shape their structural features. We use the example of transcription to discuss structure–function relationships in condensates. Various types of transcriptional condensates have been reported across the evolutionary spectrum in the cell nucleus as well as in mitochondrial and bacterial nucleoids. In vitro and in vivo observations suggest that transcriptional activity of condensates influences their supramolecular structure, which in turn affects their function. (...) Condensate organization thus becomes driven by differences in miscibility among the DNA and proteins of the transcription machinery and the RNA transcripts they generate. These considerations are in line with the notion that cellular processes shape the structural properties of condensates, leading to a dynamic, mutual interplay between structure and function in the cell. (shrink)

We prove the Decomposability Conjecture for functions of Baire class $2$ from a Polish space to a separable metrizable space. This partially answers an important open problem in descriptive set theory.

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

In this paper we study intrinsic notions of “computability” for open and closed subsets of Euclidean space. Here we combine together the two concepts, computability on abstract metric spaces and computability for continuous functions, and delineate the basic properties of computable open and closed sets. The paper concludes with a comprehensive examination of the Effective Riemann Mapping Theorem and related questions.

The central premise of this book is that biblical Hebrew narrative, in terms of its structure, tends to operate under similar mechanical constraints to those of a stage-play; wherein space is central, characters are fluid, and objects within the narrative tend to take on a deep internal significance. The smaller episodic narrative units within the Hebrew aesthetic tend to grant primacy to space, both ideologically and at the mechanical level of the text itself. However space, as a determinate structural category, (...) has been all but overlooked in the field of biblical studies to date; reflecting perhaps our own inability, as modern readers, to see beyond the dominant cinematic aesthetic of our times. The book is divided into two major sections, each beginning with a more theoretical approach to the function of narrative space, and ending with a practical application of the previous discussion; using Genesis 28:10-22 (the Bethel narrative) and the book of Ruth respectively, as test cases.Where does the notion of free will come from? How and when did it develop, and what did that development involve? In Michael Frede's radically new account of the history of this idea, the notion of a free will emerged from powerful assumptions about the relation between divine providence, correctness of individual choice, and self-enslavement due to incorrect choice. Anchoring his discussion in Stoicism, Frede begins with Aristotle--who, he argues, had no notion of a free will--and ends with Augustine. Frede shows that Augustine, far from originating the idea (as is often claimed), derived most of his thinking about it from the Stoicism developed by Epictetus. (shrink)

In this note we show that the Axiom of Countable Choice is equivalent to two statements from the theory of pseudometric spaces: the first of them is a well-known characterization of uniform continuity for functions between metric spaces, and the second declares that sequentially compact pseudometric spaces are \—meaning that all real valued, continuous functions defined on these spaces are necessarily uniformly continuous.

We provide a new perspective on the relation between the space of description of an object and the appearance of novelties. One of the aims of this perspective is to facilitate the interaction between mathematics and historical sciences. The definition of novelties is paradoxical: if one can define in advance the possibles, then they are not genuinely new. By analyzing the situation in set theory, we show that defining generic (i.e., shared) and specific (i.e., individual) properties of elements of a (...) set are radically different notions. As a result, generic and specific definitions of possibilities cannot be conflated. We argue that genuinely stating possibilities requires that their meaning has to be made explicit. For example, in physics, properties playing theoretical roles are generic; then, generic reasoning is sufficient to define possibilities. By contrast, in music, we argue that specific properties matter, and generic definitions become insufficient. Then, the notion of new possibilities becomes relevant and irreducible. In biology, among other examples, the generic definition of the space of DNA sequences is insufficient to state phenotypic possibilities even if we assume complete genetic determinism. The generic properties of this space are relevant for sequencing or DNA duplication, but they are inadequate to understand phenotypes. We develop a strong concept of biological novelties which justifies the notion of new possibilities and is more robust than the notion of changing description spaces. These biological novelties are not generic outcomes from an initial situation. They are specific and this specificity is associated with biological functions, that is to say, with a specific causal structure. Thus, we think that in contrast with physics, the concept of new possibilities is necessary for biology. (shrink)

This study is based on the question of which factors some rural spaces build and eliminate existing social relations. Specifically, the social functions of places such as bridges, caravan roads, police offices, madrasah, watermills, and dams are focused subjects. It is examined how these spaces bring social groups together, how they are separated, and how they affect the displacement of these groups. On the other hand, the differences between the rural space stand out with its cultural aspects, and the urban (...) space stands out with its economic aspects are emphasized. A qualitative research design is used in this ethnographic study, which lasted more than a year. The study is limited to a certain number of places in the villages of Siirt and Batman. In this context, 35 villages in Batman and 37 villages in Siirt are visited. In these villages, a total of 72 people of different ages, genders, and occupations are interviewed. The participants are determined using the purposive sampling technique. Interviews are conducted with the participants using semi-structured interview forms. The obtained data are analyzed using the content analysis technique. As a result of the findings, it is concluded that the spaces in rural areas are consumed in a cultural sense, just like the urban spaces. Moreover, it is observed that some rural spaces, unlike urban spaces, provide individuals with new behavioral patterns. (shrink)

This book is a ricochet against mainstream physics. It sprang out of the idea that outer symmetries of space-time are the same as inner symmetries of matter. In other words, the standard model of physics is a space-time group. This book is about structures and phenomena that are lying hidden underneath the surface of space-time. It begins with a few biographic events, Majoranas legacy, the philosophy of Gerhard Frey and some related anthropological topics which have to do with high energy (...) physics. It continues with a reconstruction of the theorem by Banach and Tarski in Minkowski space. We are making acquaintance with the standard model as a property of space-time. So we are challenging quite unusual actions such as penetration of quarks by a probe. We propose to apply a penetrating function D. Then, measure and basis are connected with the axiom of choice. (shrink)

Literary space is that of the text; it is there that it exists, and it is there that it has an operative force. What is not in the text though is reality itself, irreducible to a written form. One of the functions of the narrative “I” is to produce this verbal space, to give a context for the motion which constitutes the novel; a space that is not a reflection of anything, but, rather, an invention of the invention which is (...) the narrator, whose perceptions engender it. Manuscript corrections as well as page proofs modified by the author show that these perceptions are progressively refined so as to be more convincing. Ricardo Gullón is the author of numerous books and articles on Latin American, English, French, Spanish, and American literature, art, and critical theory and has lectured extensively in the Americas and in Europe. Direcciones del Modernismo; Galdós, novelista moderno; and García Marquez, o el arte de contar are among his more influential books. A critical study of his works, La obra crítica de Ricardo Gullón, by Barbara Bockus Aponte was recently published in Spain. See also: "Spatial Form in Literature: Toward a General Theory" by W. J. T. Mitchell in Vol. 6, No. 3. (shrink)

Continuous functions on the unit interval are relatively tame from the logical and computational point of view. A similar behaviour is exhibited by continuous functions on compact metric spaces equipped with a countable dense subset. It is then a natural question what happens if we omit the latter ‘extra data’, i.e., work with ‘unrepresented’ compact metric spaces. In this paper, we study basic third-order statements about continuous functions on such unrepresented compact metric spaces in Kohlenbach’s higher-order Reverse Mathematics. We establish (...) that some (very specific) statements are classified in the (second-order) Big Five of Reverse Mathematics, while most variations/generalisations are not provable from the latter, and much stronger systems. Thus, continuous functions on unrepresented metric spaces are ‘wild’, though ‘more tame’ than (slightly) discontinuous functions on the reals. (shrink)

The aim of this paper is to provide a theoretical framework to understand how multicellular systems realize functionally integrated physiological entities by organizing their intercellular space. From a perspective centered on physiology and integration, biological systems are often characterized as organized in such a way that they realize metabolic self-production and self-maintenance. The existence and activity of their components rely on the network they realize and on the continuous management of the exchange of matter and energy with their environment. One (...) of the virtues of the organismic approach focused on organization is that it can provide an understanding of how biological systems are functionally integrated into coherent wholes. Organismic frameworks have been primarily developed by focusing on unicellular life. Multicellularity, however, presents additional challenges to our understanding of biological systems, related to how cells are capable to live together in higher-order entities, in such a way that some of their features and behaviors are constrained and controlled by the system they realize. Whereas most accounts of multicellularity focus on cell differentiation and increase in size as the main elements to understand biological systems at this level of organization, we argue that these factors are insufficient to provide an understanding of how cells are physically and functionally integrated in a coherent system. In this paper, we provide a new theoretical framework to understand multicellularity, capable to overcome these issues. Our thesis is that one of the fundamental theoretical principles to understand multicellularity, which is missing or underdeveloped in current accounts, is the functional organization of the intercellular space. In our view, the capability to be organized in space plays a central role in this context, as it enables (and allows to exploit all the implications of) cell differentiation and increase in size, and even specialized functions such as immunity. We argue that the extracellular matrix plays a crucial active role in this respect, as an evolutionary ancient and specific (non-cellular) control subsystem that contributes as a key actor to the functional specification of the multicellular space and to modulate cell fate and behavior. We also analyze how multicellular systems exert control upon internal movement and communication. Finally, we show how the organization of space is involved in some of the failures of multicellular organization, such as aging and cancer. (shrink)

In Of Other Spaces Foucault coined the term "heterotopias" to signify "all the other real sites that can be found within the culture" which "are simultaneously represented, contested, and inverted." For Foucault, heterotopic spaces were first of all spaces of crisis, or transformative spaces, however these have given way to heterotopias of deviation and spaces of discipline, such as psychiatric hospitals or prisons. Foucault's essay provokes us to think through how spaces of crisis and critique function to open up (...) disruptive, subversive or minoritarian fields within philosophical, political, cultural or aesthetic discourses. This book takes this interdisciplinary and international approach to the spatial, challenging existing borders, boundaries, and horizons; from Claire Colebrook's chapter unpacking the heterotopic spaces of America and Mexico that lie beyond reductive ideological spaces of light and darkness, to a Foucauldian reading of the Zapatista resistance. With essays on politics, philosophy, literature, post-colonial studies, and aesthetics from established and emerging academics, this book answers Foucault's call to give us a better understanding of our present cultural epoch."--Provided by publisher. (shrink)

Dirac's equation is reviewed and found to be based on nonrelativistic ideas of probability. A 4-space formulation is proposed that is completely Lorentzinvariant, using probability distributions in space-time with the particle's proper time as a parameter for the evolution of the wave function. This leads to a new wave equation which implies that the proper mass of a particle is an observable, and is sharp only in stationary states. The model has a built-in arrow of time, which is associated (...) with a restriction to positive-energy solutions. The usual solution for a Coulomb field is retained, though it now implies a slightly different charge distribution. The conventional nonstationary solutions become invalid. The new formulation appears to offer a resolution of difficulties that have been associated with Dirac's equation. It also predicts the occurrence of virtual pairs at a level that may be experimentally testable, and suggests a mechanism for self-cancellation of the vacuum energy. (shrink)

This paper focuses on empty mind, transitional space and the dissolving of the self object function.

Reconfigurations of the Exhibition Space – Case Study: Cristi Rusu Exhibition at the Plan B Gallery. In this paper I focus on a case study concerning the Cristi Rusu exhibition, The Only Thing I Am Sure about in This Life Lies above My Head, from the Plan B Gallery in Berlin (March 6 – April 11 2020). By integrating some interventions specific to land art in the gallery space (and, therefore, transforming it), Cristi Rusu manages to transgress the conventional limits (...) imposed by the idea of a white cube gallery neutral space. The art gallery’s space functions as a medium for developing artistic discourse as the project tries to detach from the tradition and ideologies already incorporated in a certain place and time, in search for the sublime. (shrink)

There is a growing body of scholarship that is addressing the ethics, in particular, the bioethics of space travel and colonisation. Naturally, a variety of perspectives concerning the ethical issues and moral permissibility of different technological strategies for confronting the rigours of space travel and colonisation have emerged in the debate. Approaches ranging from genetically enhancing human astronauts to modifying the environments of planets to make them hospitable have been proposed as methods. This paper takes a look at a critique (...) of human bioenhancement proposed by Mirko Garasic who argues that the bioenhancement of human astronauts is not only functional but necessary and thus morally permissible. However, he further claims that the bioethical arguments proposed for the context of space do not apply to the context of Earth. This paper forwards three arguments for how Garasic’s views are philosophically dubious: (1) when he examines our responsibility towards future generations he refers to a moral principle (which we will call the principle of mere survival) which, besides being vague, is not morally acceptable; (2) the idea that human bioenhancement is not natural is not only debatable but morally irrelevant; and (3) it is not true that the situations that may arise in space travel cannot occur on Earth. We conclude that not only is the (bio)enhancement of humans on Earth permissible but perhaps even necessary in certain circumstances. (shrink)

Pylyshyn raises hot topics like the number and kinds of pictorialist theories there are and their explanatory power. Pylyshyn states that pictorialists have only two possibilities – they can posit either “only functional” images or “really spatial” images – and that neither of these possibilities is convincing or sufficient in explanatory power for empirical and theoretical reasons. Is pictorialism, in principle, untenable?

Objective. Conceptualization of the definition of space as a semantic unit of language consciousness. -/- Materials & Methods. A structural-ontological approach is used in the work, the methodology of which has been tested and applied in order to analyze the subject matter area of psychology, psycholinguistics and other social sciences, as well as in interdisciplinary studies of complex systems. Mathematical representations of space as a set of parallel series of events (Alexandrov) were used as the initial theoretical basis of the (...) structural-ontological analysis. In this case, understanding of an event was considered in the context of the definition adopted in computer science – a change in the object properties registered by the observer. -/- Results. The negative nature of space realizes itself in the subject-object structure, the components interaction of which is characterized by a change – a key property of the system under study. Observer’s registration of changes is accompanied by spatial focusing (situational concretization of the field of changes) and relating of its results with the field of potentially distinguishable changes (subjective knowledge about «changing world»). The indicated correlation performs the function of space identification in terms of recognizing its properties and their subjective significance, depending on the features of the observer`s motivational sphere. As a result, the correction of the actual affective dynamics of the observer is carried out, which structures the current perception of space according to principle of the semantic fractal. Fractalization is a formation of such a subjective perception of space, which supposes the establishment of semantic accordance between the situational field of changes, on the one hand, and the worldview, as well as the motivational characteristics of the observer, on the other. -/- Conclusions. Performed structural-ontological analysis of the system formed by the interaction of the perceptual function of the psyche and the semantic field of the language made it possible to conceptualize the space as a field of changes potentially distinguishable by the observer, structurally organized according to the principle of the semantic fractal. The compositional features of the fractalization process consist in fact that the semantic fractal of space is relevant to the product of the difference between the situational field of changes and the field of potentially distinguishable changes, adjusted by the current configuration of the observer`s value-needs hierarchy and reduced by his actual affective dynamics. (shrink)

The article examines space as a hierarchy of differences and as a basic phenomenon of the world, while calling into question the existence of time as a natural process and basis for human experience. It analyses the functionality of time in connection with various types of individual spaces and reveals the correlativity of space and consciousness.

This paper analyzes how space is metaphorized in some Chan poems, and it investigates how space metaphor contributes to Chan culture. It concentrates onorientational metaphors, metaphor associated with an upward or/and a downward orientation. Orientational metaphors tend to be grounded in dichotomized thought, e.g., “GOOD IS UP” vs. “BAD IS DOWN”, “DIVINE IS UP” vs. “MORTAL IS DOWN”, etc. This paper will demonstrate that in some Chan poems, orientational metaphors do not function this way. Instead, what is foregrounded is (...) the kind of spatial relationship created by opposite orientations, namely, the broad, ever-extending space. To demonstrate how this metaphorical understanding of space is achieved, this paper addresses three particular space-related issues: (1) how certain entities representing dimensional space serve to function as a cognitive metaphor that is common in Chan poetry as a genre; (2) how up-down orientations can interact and form a metaphorical pattern in a text; and (3) how spatial image schemas (e.g., VERTICALITY, NEAR-FAR, PATH, CENTER-PERIPHERY, CONTAINER, etc.) can be identified, interact with one another, and underpin the pattern of metaphor communicating the idea of that broad, ever-extending, imaginal space. All in all, this study aims to demonstrate how space metaphor, as a signifying force, functions in Chan poems and how suchmetaphor represents Chinese Chan culture. (shrink)

Marking a ground-breaking moment in the debate surrounding bodies and "body politics," Elizabeth Grosz's Space, Time and Perversion contends that only by resituating and rethinking the body will feminism and cultural analysis effect and unsettle the knowledges, disciplines and institutions which have controlled, regulated and managed the body both ideologically and materially. Exploring the fields of architecture, philosophy, and--in a controversial way--queer theory, Grosz shows how these fields have conceptually stripped bodies of their specificity, their corporeality, and the vestigal traces (...) of their production as bodies. Her tour de corpe investigates the work of Michel Foucault, Teresa de Lauretis, Gilles Deleuze, Judith Butler and Alphonso Lingis. Grosz considers their work by examining the ways in which the functioning of bodies transforms understandings of space and time, knowledge and desire. Begining with an exposition of the epistemological implications of bodily and sexual difference, Grosz examines the effects such knowledge have on the reception of meaning. She looks at the relationship between the knowledge of difference and the way that knowledge validates, affirms, avows and valorizes subjects. Grosz then extends this analysis to an investigation of the relationship between space, time, bodies and the spatial "arts" such as architecuture, urban planning and geography. In the last section, Grosz moves toward a radical consideration of bodies and their relationship to transgression and perversity. Controversially showing the ways in which "queer" theory fails to offer a truly transformative conception of bodies and their politics, Grosz finds "queer" a reactive category "which sees itself in opposition to a straight norm and thus defines itself in terms of this norm." Consequentially, "queer" theory inherits the acceptance of an entire range of sexual practices, without "asking what they share and without taking into account the profound tension that may exist among these practices." Grosz's Space, Time and Perversity is a diverse and incisive collection of essays from a renowned feminist philosopher. (shrink)

The article presents and discusses an ongoing fellowship project entitled ‘Space for Interference’, conducted under the Norwegian Programme for Research Fellowships in the Arts. Two concrete site-specific art projects produced under Space for Interference serve as a point of departure for an investigation into methods of interference and the forms of address that artists use when intervening in other specialized fields in society. The institutions that provide the site for an art project have different social functions. We ask what may (...) be their motivation for allowing artists access to their physical environments, apparatuses, procedures, systems and discourses. The fact that the artists’ projects in these contexts function as a means of self-observation for the institutions seems obvious. Nevertheless, we seek to investigate the various economic and political factors that allow these institutions to include potentially critical activities, which aim to modify or transgress their systems, and thereby displaying how they are malleable and mobile bodies. One assertion we make is that by doing so the involved institutions prove to be modern, self-critical and flexible, thus complying with political requirements to adapt to the rapidly changing environments of the information and communication age. The perspective from systems theory in the Luhmannian tradition has proved useful since it shows how the issues of art may also be the problems of science, business, politics and the law in the complex and decentered social universe of today. The issues of contingency, insecurity, paradox and autoreflexivity, surplus meanings and the complexity and decentering of the subject are at the heart of contemporary art. Systems theory provides a way to link such practices theoretically with scientific discourse and with the advanced problem solving and criticality of other social domains, like politics, business and the media industries. (shrink)

The many-Hilbert-spaces approach to the measurement problem in quantum mechanics is reviewed, and the notion of wave function collapse by measurement is formulated as a dephasing process between the two branch waves of an interfering particle. Following the approach originally proposed in Ref. 1, we introduce a “decoherence parameter,” which yields aquantitative description of the degree of coherence between the two branch waves of an interfering particle. By discussing the difference between the wave function collapse and the orthogonality (...) of the apparatus' wave functions, we analyze critically two proposals, recently appeared in the literature, (2, 3) and argue that neither one describes a dephasing process. We conclude that the concept of “wave function collapse,” according to the conventional Copenhagen interpretation, is to be replaced by that of a statisticallydefined dephasing process. (shrink)

In the book "Conceptual Spaces: the Geometry of Thought" [2000] Peter Gärdenfors proposes a new framework for cognitive science. Complementary to symbolic and subsymbolic [connectionist] descriptions, conceptual spaces are semantic structures — constructed from empirical data — representing the universe of mental states. We argue that Gärdenfors' modeling can be used in consciousness research to describe the phenomenal conscious world, its elements and their intrinsic relations. The conceptual space approach affords the construction of a universal state space of human consciousness, (...) where all possible kinds of human conscious states could be mapped. Starting from this approach, we discuss the inclusion of feelings and emotions in conceptual spaces, and their relation to perceptual and cognitive states. Current debate on integration of affect/emotion and perception/cognition allows three possible descriptive alternatives: emotion resulting from basic cognition; cognition resulting from basic emotion, and both as relatively independent functions integrated by brain mechanisms. Finding a solution for this issue is an important step in any attempt of successful modeling of natural or artificial consciousness. After making a brief review of proposals in this area, we summarize the essentials of a new model of consciousness based on neuro-astroglial interactions. (shrink)

Functional imaging techniques, such as positron emission tomography and functional magnetic resonance imaging, present a unique opportunity to examine, in humans, the cerebral representation of space in vivo. Space is ubiquitous and not a unitary phenomenon, and the brain uses visual, vestibular and proprioceptive inputs to produce multiple representations of space subserving spatial cognition, ranging from gaze control to remembering multiple complex large-scale environments. Functional imaging studies have shown the importance of the parietal cortex in perceptual, motor, attention and working (...) memory aspects of body-centred human spatial cognition. Functional imaging has also revealed pathways in humans homologous to those found in monkeys for the separate processing of spatial location and object identity. There are further suggestions of similar differentiation in working memory. The importance of the medial temporal region in the recall of spatial location has been confirmed also and novel virtual reality paradigms are now providing insights into the cerebral representation of spatially-extended large-scale environments. We still have much to learn about the cerebral representation of space in the human brain and functional brain imaging, in concert with patient studies and animal models, will allow us to continue investigating. (shrink)

A function from Baire space to the natural numbers is called formally continuous if it is induced by a morphism between the corresponding formal spaces. We compare formal continuity to two other notions of continuity on Baire space working in Bishop constructive mathematics: one is a function induced by a Brouwer‐operation (i.e., inductively defined neighbourhood function); the other is a function uniformly continuous near every compact image. We show that formal continuity is equivalent to the former (...) while it is strictly stronger than the latter. The equivalence of formally continuous functions and those induced by Brouwer‐operations requires Countable Choice. (shrink)