Bilattices, due to M. Ginsberg, are a family of truth value spaces that allow elegantly for missing or conflicting information. The simplest example is Belnap’s four-valued logic, based on classical two-valued logic. Among other examples are those based on finite many-valued logics, and on probabilistic valued logic. A fixed point semantics is developed for logic programming, allowing any bilattice as the space of truth values. The mathematics is little more complex than in the classical two-valued setting, but the result (...) provides a natural semantics for distributed logic programs, including those involving confidence factors. The classical two-valued and the Kripke/Kleene three-valued semantics become special cases, since the logics involved are natural sublogics of Belnap’s logic, the logic given by the simplest bilattice. (shrink)

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

A modal accessibility relation is just a transition relation, and so can be represented by a {0, 1} valued transition matrix. Starting from this observation, I first show that the machinery of matrices, over Boolean algebras more general than the two-valued one, is appropriate for investigating multi-modal semantics. Then I show that bisimulations have a rather elegant theory, when expressed in terms of transformations on Boolean vector spaces. The resulting theory is a curious hybrid, fitting between conventional modal semantics and (...) conventional linear algebra. I don’t know where the investigations begun here will ultimately wind up, but in the meantime the approach has a kind of curious charm that others may find appealing. (shrink)

This is a largely expository paper in which the following simple idea is pursued. Take the truth value of a formula to be the set of agents that accept the formula as true. This means we work with an arbitrary (finite) Boolean algebra as the truth value space. When this is properly formalized, complete modal tableau systems exist, and there are natural versions of bisimulations that behave well from an algebraic point of view. There remain significant problems concerning the (...) proper formalization, in this context, of natural language statements, particularly those involving negative knowledge and common knowledge. A case study is presented which brings these problems to the fore. None of the basic material presented here is new to this paper—all has appeared in several papers over many years, by the present author and by others. Much of the development in the literature is more general than here—we have confined things to the Boolean case for simplicity and clarity. Most proofs are omitted, but several of the examples are new. The main virtue of the present paper is its coherent presentation of a systematic point of view—identify the truth value of a formula with the set of those who say the formula is true. (shrink)

This is a largely expository paper in which the following simple idea is pursued. Take the truth value of a formula to be the set of agents that accept the formula as true. This means we work with an arbitrary Boolean algebra as the truth value space. When this is properly formalized, complete modal tableau systems exist, and there are natural versions of bisimulations that behave well from an algebraic point of view. There remain significant problems concerning the proper (...) formalization, in this context, of natural language statements, particularly those involving negative knowledge and common knowledge. A case study is presented which brings these problems to the fore. None of the basic material presented here is new to this paper—all has appeared in several papers over many years, by the present author and by others. Much of the development in the literature is more general than here—we have confined things to the Boolean case for simplicity and clarity. Most proofs are omitted, but several of the examples are new. The main virtue of the present paper is its coherent presentation of a systematic point of view—identify the truth value of a formula with the set of those who say the formula is true. (shrink)

A generalization of conventional Horn clause logic programming is proposed in which the space of truth values is a pseudo-Boolean or Heyting algebra, whose members may be thought of as evidences for propositions. A minimal model and an operational semantics is presented, and their equivalence is proved, thus generalizing the classic work of Van Emden and Kowalski.

An explicit feature of the World Health Organisation’s response to the COVID-19 pandemic has been to ensure that naming conventions, both for the disease itself and for the variants of its underlying virus, should not have a stigmatising effect on any one population or region. An implicit feature of this undertaking is the recognition that the relation between ‘what is said’ and ‘what is heard’ involves an ongoing and even generative tension that cannot be mapped following a defined set of (...) coordinates. The reason for this, the following paper claims, employing the work of Barbara Cassin, is that there is a uniquely performative (epideictic) aspect to language – one that takes place in a uniquely non-globalised space whose extension remains unscripted or extemporised, a space that is often distended and sometimes localisable but ultimately indivisible. Such a space, this paper shows, is one oriented by an understanding of rhetoric whereby utterances obtain according to the actual use [chreia] or decisive moment [kairos] – as opposed to any definitive place [topos] – of what is said. (shrink)

The assumption that natural selection alone is sufficient to explain not only which traits get fixed in a population/species, but also how they develop, has been questioned since Darwin’s times, and increasingly in the last decades. Alternative theories, linked to genetic and phenotypic processes, or to the theory of complex systems, have been proposed to explain the rise of the phenotypic variety upon which natural selection acts. In this article, we illustrate the current state of the issue and we propose (...) a logical space based on phenotypic robustness that allows a classification of evolutionary phenomena and can provide a framework for unifying all these accounts. (shrink)

It’s recently been argued that biological fitness can’t change over the course of an organism’s life as a result of organisms’ behaviors. However, some characterizations of biological function and biological altruism tacitly or explicitly assume that an effect of a trait can change an organism’s fitness. In the first part of the paper, I explain that the core idea of changing fitness can be understood in terms of conditional probabilities defined over sequences of events in an organism’s (...) life. The result is a notion of “conditional fitness” which is static but which captures intuitions about apparent behavioral effects on fitness. The second part of the paper investigates the possibility of providing a systematic foundation for conditional fitness in terms of spaces of sequences of states of an organism and its environment. I argue that the resulting “organism–environment history conception” helps unify diverse biological perspectives, and may provide part of a metaphysics of natural selection. (shrink)

As working arrangements become more flexible and many people work remotely, the risk of social isolation rises. Coworking spaces try to prevent this by offering not only a workplace, but also a community. Adopting a person-environment fit perspective, we examined how the congruence between workers' needs and supplies by coworking spaces relate to job satisfaction and intent to leave. We identified five needs, of which community was expected to be the central need. An online questionnaire was distributed among coworkers in (...) Germany and Austria, resulting in a sample of 181 coworkers. Results showed that needs-supplies fit regarding community was related to job satisfaction and intent to leave in coworking spaces. Findings for the other needs, however, did not show that congruence is associated with outcomes. Overall, the findings highlight the importance of community fit in coworking and offer insights for workers and entrepreneurs in this area. (shrink)

The article fits into the debate regarding space, time and nature in dialogue with the world lived by subjects that build up themselves or are built as mythological heroes, source of speech and spacial concrete practices. It's a poorly explored field in Geography that recently approaches to the cultural dynamic debate, to the symbolic field and also to their spacialization processes. The aim is to discuss the possibility of understanding in the present time about the space organization processes (...) related to the society's previous moments, in a space/time dialectics which articulate the present and past times in a complex and non linear way. Methodologically, starting from a literature review about the theme, the present study was linked to the field and documental research about migration to the vicinal ways of Transamazônica Highway (BR-230 Highway), the creation of the "Centro Espírita União do Vegetal", a religion that arises in the Amazon and set up its headquarters in Brasília and the construction of Brasilia as a modern metropolis without a past. The conclusion points at the possibility of space/time nexuses linking the Myth of Nature to the Creation of Heroes, constantly appropriated and with new meanings, in order to support speeches and new actions dialectically throughout the Brazilian contemporaneous space. (shrink)

Does natural selection favor veridical percepts—those that accurately depict objective reality? Perceptual and cognitive scientists standardly claim that it does. Here we formalize this claim using the tools of evolutionary game theory and Bayesian decision theory. We state and prove the “Fitness-Beats-Truth Theorem” which shows that the claim is false: If one starts with the assumption that perception involves inference to states of the objective world, then the FBT Theorem shows that a strategy that simply seeks to maximize expected- (...) class='Hi'>fitness payoff, with no attempt to estimate the “true” world state, does consistently better. More precisely, the FBT Theorem provides a quantitative measure of the extent to which the fitness-only strategy dominates the truth strategy, and of how this dominance increases with the size of the perceptual space. The FBT Theorem supports the Interface Theory of Perception, which proposes that our perceptual systems have evolved to provide a species-specific interface to guide adaptive behavior, and not to provide a veridical representation of objective reality. (shrink)

I motivate and defend a previously underdeveloped functionalist account of the metaphysics of color, a view that I call ‘quality-space functionalism’ about color. Although other theorists have proposed varieties of color functionalism, this view differs from such accounts insofar as it identifies and individuates colors by their relative locations within a particular kind of so-called ‘quality space’ that reflects creatures’ capacities to discriminate visually among stimuli. My arguments for this view of color are abductive: I propose that quality- (...) class='Hi'>space functionalism best captures our commonsense conception of color, fits with many experimental findings, coheres with the phenomenology of color experience, and avoids many issues for standard theories of color such as color physicalism and color relationalism. (shrink)

The upshot of the No Free Lunch theorems is that averaged over all fitness functions, evolutionary computation does no better than blind search (see Dembski 2002, ch 4 as well as Dembski 2005 for an overview). But this raises a question: How does evolutionary computation obtain its power since, clearly, it is capable of doing better than blind search? One approach is to limit the fitness functions (see Igel and Toussaint 2001). Another, illustrated in David Fogel’s work on (...) automated checker and chess playing (see, for instance, Chellapilla and Fogel 1999 and Fogel et al. 2004) and, more recently, given a theoretical underpinning by David Wolpert and William Macready (2005), is to limit optimization problems to search spaces consisting of agents that play competitively against one another. In this brief note, I focus on the latter attempt to get around the force of No Free Lunch. (shrink)

We suggest a rigorous theory of how objective single-case transition probabilities fit into our world. The theory combines indeterminism and relativity in the “branching space–times” pattern, and relies on the existing theory of causae causantes (originating causes). Its fundamental suggestion is that (at least in simple cases) the probabilities of all transitions can be computed from the basic probabilities attributed individually to their originating causes. The theory explains when and how one can reasonably infer from the probabilities of one (...) “chance set-up” to the probabilities of another such set-up that is located far away. (shrink)

In this article I discuss the problem of embodied subjectivity, viewed from the perspective of spatiality. The questions I address arise from my ethnographic study on chronic pain. My main argument is that, in contrast to philosophical understanding of space as an a priori, or as a container, space and spatiality are shaped and reshaped through the body in pain. What characterizes most patients' experiences of space is movement. This can be understood through Merleau-Ponty's phenomenological theory of (...) the lived body but needs in addition a cultural contextualization. Because of biomedical thinking, in Western settings chronic pain is liminal. It does not fit the biomedical categories of disease or space. This profoundly shapes patients' understanding of their subjectivity as homeless, and their experience of spatiality as estranged and exiled. (shrink)

In this compendium of essays, some of the world's leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, (...) independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers et cetera, all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license. (shrink)

In this compendium of essays, some of the world's leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, (...) independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers et cetera, all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license. (shrink)

The central question of the paper is: do women have the right to exclude transwomen from women-only spaces? First I argue that biological sex matters politically, and should be protected legally—at least until such a time as there is no longer sex discrimination. Then I turn to the rationales for women-only spaces, arguing that there are eight independent rationales that together overdetermine the moral justification for maintaining particular spaces as women-only. I address a package of spaces, including prisons, changing rooms, (...) fitting rooms, bathrooms, shelters, rape and domestic violence refuges, gyms, spas, sports, schools, accommodations, shortlists, prizes, quotas, political groups, clubs, events, festivals, and terms. The arguments of these two sections taken together make a strong case against self-identification as the basis for legal sex (because legal sex will generally determine inclusion). In the last part of the paper, I address the objection that my conclusion was obtained through linguistic sleight of hand, which I answer by saying that choices about how to refer to transwomen don’t change the underlying fact that the basis for exclusion is generally sex, not gender identity. (shrink)

The experience of embodiment may be studied using the rubber hand illusion. Little is known about the cognitive mechanism that elicits the feeling of embodiment. In previous models of the rubber hand illusion, bodily signals are processed sequentially. Such models cannot explain some more recent findings. Carruthers (2013) proposed a multidimensional model of embodiment, in which the processing of embodiment is understood in terms of conceptual hand space. Visual features of hands are represented along several dimensions. The rubber hand (...) illusion is then explained as the erroneous matching of the online representation of the artificial hand to the stored prototype in a space defined by those dimensions. We conducted the first experimental tests to investigate the multidimensional conceptual space account. First, participants performed a series of odd-one-out judgments for triads of hand images (including their own hand) and we then employed multidimensional scaling analyses. We found that a multidimensional model of perceived hand similarity could be fitted to our data. Second, we tested if a multisensory bodily signal manipulation (the rubber hand illusion) influences the position of the viewed artificial hand in hand space. We employed synchronous and asynchronous stroking and found that in the synchronous condition, which elicits the rubber hand illusion, compared to the asynchronous condition, which does not, the artificial hand was closer to the center of hand space; that is, to a prototype hand. We discuss these findings in the context of the Carruthers (2013) conceptual space model as well as other rubber hand illusion models. (shrink)

I consider recent uses of the notion of neutrality in evolutionary biology and ecology, questioning their relevance to the kind of explanation recently labeled ‘topological explanation’. Focusing on fitness landscapes and genotype-phenotype maps, I explore the explanatory uses of neutral subspaces, as modeled in two perspectives: hyperdimensional fitness landscapes and RNA sequence-structure maps. I argue that topological properties of such spaces account for features of evolutionary systems: respectively, capacity for adaptive evolution toward global optima and mutational robustness of (...) genotypes. Thus many models appealing to “neutral” manifolds provide topological alternatives to hypothetical mechanisms. (shrink)

This chapter discusses the ordering of color percepts, and starts by presenting an overview of the critical issues surrounding the topic and by examining the relationship between stimuli and percepts. Certain types of variability were found by experimental psychology in the relationship between stimulus and response as a result of observation conditions. In the twentieth century, the view that the normal human color-vision system has a standard implementation and that all perceptual data are appropriately treated with normal statistical distribution methodology (...) became the standard paradigm. However, the idea that the large number of color percepts humans can experience must fit into some kind of ordering system is an old one, going as far back to Aristotle and his proposed color categories based on a scale of chromatic colors between white and black. The strengths and limitations of the more recently developed kinds of color order systems are also touched upon here. (shrink)

Despite the once-common idea that a universal ideography would have numerous advantages, attempts to develop such ideographies have failed. Here, we make use of the biological idea of fitness landscapes to help us understand the nonevolution of such a universal ideographic code as well as how we might reach this potential global fitness peak in the design space.

Here I shine light on the concept of and call for safe space and on the implicit argument that seems to undergird both the concept and the call, complicating and problematizing the taken for granted view of this issue with the goal of revealing a more complex dynamic worthy of interpretive attention when determining educational response. I maintain that the usual justification for safe space covers rather than clarifies the logic of safe space and makes it difficult (...) for an educator to respond to harassment in a constructive and fitting way. I also claim that calls for safe space can only be properly interpreted—and responded to—when the link between fear and safety is uncovered and deconstructed. In the process, I note that the assumption of “safety” as a “positive condition” for education is problematic and warrants careful consideration. (shrink)

This article introduces a dilemma regarding conceptual schemes and suggests a solution. The dilemma is about whether there are conceptual schemes or not. There are good reasons for maintaining either position. There must be conceptual schemes because theory is underdetermined by evidence. And there cannot be conceptual schemes because Davidson has given an almost unassailable argument against it. I resolve the dilemma by arguing that Davidson’s argument is based on a false dilemma generated by too strong a principle of charity. (...) This makes space for conceptual schemes without sacrificing the intelligibility of any. (shrink)

A primary criterion on which models of cognition are evaluated is their ability to fit empirical data. To understand the reason why a model yields a good or poor fit, it is necessary to determine the data‐fitting potential (i.e., flexibility) of the model. In the first part of this article, methods for comparing models and studying their flexibility are reviewed, with a focus on parameter space partitioning (PSP), a general‐purpose method for analyzing and comparing all classes of cognitive models. (...) PSP is then demonstrated in the second part of the article in which two connectionist models of speech perception (TRACE and ARTphone) are compared to learn how design differences affect model flexibility. (shrink)

Good Agricultural Practices are central to sustainability standards and certification programmes in the global cocoa chain. Pruning is one of the practices promoted in extension services associated with these sustainability efforts. Yet concerns exist about the low adoption rate of these GAPs by smallholder cocoa farmers in Ghana. A common approach to addressing this challenge is based on creating enabling conditions and offering appropriate incentives. We use the concepts of inscription and affordance to trace the vertically coordinated travel of recommended (...) pruning from research to extension and farming sites, and to describe how pruning is carried out differently at each site. Our analysis suggests that enactments of pruning at the extension site reduce the number of options and space for interactions, and this constrains making the practice meaningful to farmers’ repertoires. The conventions guiding and legitimising actions at this site, reinforced by sustainability standards, certification schemes and associated inspections and audits, favour standardised recommendations and consequently narrow room for context-specific diagnostics and adaptions. Therefore, we reframe the adoption problem as a matter of fit between different sites in the ‘agricultural research value chain’ embedded in the operational cocoa chain. Our contribution problematises the dominant framing of low adoption and highlights that the movement of pruning and the sequential enactment at different sites constrain the affordances available for rendering the practice meaningful to farmers’ repertoires. Consequently, addressing the low uptake of GAPs requires institutional work towards conventions that can construct a fit between sites along the agricultural research value chain. (shrink)

Seventeenth-century authors frequently infer the attributes of time by analogy from already established features of space. The rationale for this can be traced back to Aristotle's analysis of time as ?the number of movement?, where movement requires a prior understanding of spatial magnitude. Although these authors are anti-Aristotelian, they were concerned, contra Aristotle, to establish the existence of ?empty space?, and a notion of absolute space which fit this idea. Although they had no independent rationale for the (...) existence of absolute time, it seemed to go with absolute space, and they drew on a long tradition of space-time parallelism in securing this. (shrink)

Dominic Lopes proposes that seeing-in admits of kinds. He thus suggests five ways of seeing-in that he feels do justice to the variety of pictorial representations. More recently Dan Cavedon-Taylor has argued that the space of seeing-in marked out by Lopes is incomplete, and thus proposes a sixth kind of seeing-in that fits neatly into the taxonomy. I argue that the phenomenon of seeing-in does not divide in as many ways as Lopes and Cavedon-Taylor propose. I show that the (...) purported cases of pseudo-design seeing do not demonstrate that actual design properties are not experienced and as such these cases can be captured by the other ‘ways of seeing-in’ that Lopes identifies. I also argue against the claim that actualism is a distinct kind of seeing-in. Thus the space of seeing-in ought to be significantly reduced. (shrink)

Plamondon & Alimi propose a universal account of trajectory formation and speed/accuracy trade-off in rapid movements but fail, because: (1) the kinematic model ignores the more fundamental dynamics of movement generation, and (2) it does not capture the essential space-time constraints of movement accuracy. Hence, the modeling lacks a biologically and behaviorally principled foundation and is driven by pragmatic function fitting.

Those familiar with the Critique of Pure Reason will not at all be surprised that Thomas C. Vinci has found it fitting to dedicate an entire book to the Transcendental Deduction of the Categories, a chapter of the CPR that is as important to Kant’s argument for Transcendental Idealism as it is difficult to decipher. The purpose of that section is to establish the objective validity of the categories—to show, that is, that the pure concepts of the understanding apply to (...) all objects of human experience. While the general goal of the TD may be easy enough to state, the argument strategy that Kant uses to establish the objective validity of the categories is hardly easy to understand.Vinci focuses on the.. (shrink)

An axiomatic framework for describing general space-time models is presented. Space-time models to which irreducible propositional systems belong as causal logics are quantum (q) theoretically interpretable and their event spaces are Hilbert spaces. Such aq space-time is proposed via a “canonical” quantization. As a basic assumption, the time t and the radial coordinate r of aq particle satisfy the canonical commutation relation [t,r]=±i $h =$ . The two cases will be considered simultaneously. In that case the event (...) space is the Hilbert space L2(ℝ3). Unitary symmetries consist of Poincaré-like symmetries (translations, rotations, and inversion) and of gauge-like symmetries. Space inversion implies time inversion. Thisq space-time reveals a confinement phenomenon: Theq particle is “confined” in an $h =$ size region of Minkowski space $\mathbb{M}^4$ at any time. One particle mechanics overq space-time provides mass eigenvalue equations for elementary particles. Prugovečki's stochasticq mechanics andq space-time offer a natural way for introducing and interpreting consistently such aq space-time andq particles existing in it. The mass eigenstates ofq particles generate Prugovečki's extended elementary particles. When $h =$ →0, these particles shrink to point particles and $\mathbb{M}^4$ is recovered as the classical (c) limit ofq space-time. Conceptual considerations favor the case [t,r]=+i $h =$ , and applications in hadron physics give the fit $h =$ ⋍2/5 fermi/GeV. (shrink)

This paper introduce a new variant of the Genetic Algorithm whichis developed to handle multivariable, multi-objective and very high search space optimization problems like the solving system of non-linear equations. It is an integer coded Genetic Algorithm with conventional cross over and mutation but with Inverse algorithm is varying its search space by varying its digit length on every cycle and it does a fine search followed by a coarse search. And its solution to the optimization problem will (...) converge to precise value over the cycles. Every equation of the system is considered as a single minimization objective function. Multiple objectives are converted to a single fitness function by summing their absolute values. Some difficult test functions for optimization and applications are used to evaluate this algorithm. The results prove that this algorithm is capable to produce promising and precise results. (shrink)

Following a bi-cylindrical model of geometrical dynamics, our study shows that a 6D-gravitational equation leads to geodesic description in an extended symmetrical time–space, which fits Hubble-like expansion on a microscopic scale. As a duality, the geodesic solution is mathematically equivalent to the basic Klein–Gordon–Fock equations of free massive elementary particles, in particular, the squared Dirac equations of leptons. The quantum indeterminism is proved to have originated from space–time curvatures. Interpretation of some important issues of quantum mechanical reality is (...) carried out in comparison with the 5D space–time–matter theory. A solution of lepton mass hierarchy is proposed by extending to higher dimensional curvatures of time-like hyper-spherical surfaces than one of the cylindrical dynamical geometry. In a result, the reasonable charged lepton mass ratios have been calculated, which would be tested experimentally. (shrink)

In the “Metaphysical Exposition” Kant argues that our representation of space is a pure intuition. Kant also claims there that “Space is not an empirical concept that has been drawn from outer experiences.” However, it is not clear how these two claims fit into the overall structure of Kant’s argument. I maintain that the second claim is a premise for the first and that Kant has an independent argument for the premise. By considering the question whether the notion (...) that Kant calls “the general concept of spaces in general” is derived by abstraction for Kant—deciding that it is not—I arrive at a formulation of this argument. Finally, I argue that this notion is not a concept in Kant’s technical sense but something related to it he calls elsewhere “declaration” (Declarationen) (Akad. IX, 142). A Declarationen is a statement of the meaning of a general term that does not express a general concept in Kant’s precise sense. My main thesis is that the meaning of the general term “spaces” for Kant is given by a Declarationen rather than a concept. (shrink)

Habermas's conception of deliberative democracy could be fruitfully supplemented with a discussion of the "institutional design" of civil society; for example the architecture of public spaces should be considered. This paper argues that Hegel's discussion of architecture in his 'Aesthetics' can speak to this issue. For Hegel, architecture culminates in the gothic cathedral, because of how it fosters reflection on the part of the worshiper. This discussion suggests the possibility that architecture could foster a similar kind of intersubjective reflection. To (...) make his thoughts more pertinent for current debates, Hegel's views are adapted to fit three contemporary secular institutions. (shrink)

The aim of this study is an analysis of the possible adaptive consequences of delivery of low birth weight infants. We attempt to reveal the cost and benefit components of bearing small children, estimate the chance of the infants’ survival, and calculate the mothers’ reproductive success. According to life-history theory, under certain circumstances mothers can enhance their lifetime fitness by lowering the rate of investment in an infant and/or enhancing the rate of subsequent births. We assume that living in (...) a risky environment and giving birth to a small infant may involve a shift from qualitative to quantitative production of offspring. Given high infant mortality rates, parents will have a reproductive interest in producing a relatively large number of children with a smaller amount of prenatal investment. This hypothesis was tested among 650 Gypsy and 717 non-Gypsy Hungarian mothers. Our study has revealed that 23.8% of the Gypsy mothers had low birth weight (<2,500 g) children, whose mortality rate is very high. These mothers also had more spontaneous abortions and stillbirths than those with normal weight children. As a possible response to these reproductive failures, they shortened birth spacing, gaining 2–4 years across their reproductive lifespan for having additional children. Because of the relatively short interbirth intervals, by the end of their fertility period, Gypsy mothers with one or two low birth weight infants have significantly more children than their ethnic Hungarian counterparts. They appear to compensate for handicaps associated with low birth weights by having a larger number of closely spaced children following the birth of one or more infants with a reduced probability of survival. The possible alternative explanations are discussed, and the long-term reproductive benefits are estimated for both ethnic groups. (shrink)

This essay discusses the normative significance of the spatial dimension of conflict events. Drawing on qualitative interviews conducted with political actors – politicians, officials, and activists – and on Heidegger’s account of spatiality in Being and Time, I will argue that the experience of conflict space is co-constituted by the respective conflict participants, as well as the location where the conflict unfolds. Location and conflict parties’ (self-)understandings ‘open up’ a space that enables and constrains ways of seeing and (...) acting. Yet, a purely transcendental phenomenology will remain oblivious to the quasi-transcendental, societal structures of power that shape a person’s conflict experience. To illuminate these facets of the phenomenon, phenomenology has to join forces with critical theory. Introducing Garland-Thomson’s feminist distinction of fit/misfit, I will illustrate how power shapes conflict space in manifold ways. The essay thereby fills a gap in the philosophical literature that rarely analyses political conflict as a phenomenon sui generis. (shrink)

Learning to solve a class of problems can be characterized as a search through a space of hypotheses about the rules for solving these problems. A series of four experiments studied how different learning conditions affected the search among hypotheses about the solution rule for a simple computational problem. Experiment 1 showed that a problem property such as computational difficulty of the rules biased the search process and so affected learning. Experiment 2 examined the impact of examples as instructional (...) tools and found that their effectiveness was determined by whether they uniquely pointed to the correct rule. Experiment 3 compared verbal directions with examples and found that both could guide search. The final experiment tried to improve learning by using more explicit verbal directions or by adding scaffolding to the example. While both manipulations improved learning, learning still took the form of a search through a hypothesis space of possible rules. We describe a model that embodies two assumptions: the instruction can bias the rules participants hypothesize rather than directly be encoded into a rule; participants do not have memory for past wrong hypotheses and are likely to retry them. These assumptions are realized in a Markov model that fits all the data by estimating two sets of probabilities. First, the learning condition induced one set of Start probabilities of trying various rules. Second, should this first hypothesis prove wrong, the learning condition induced a second set of Choice probabilities of considering various rules. These findings broaden our understanding of effective instruction and provide implications for instructional design. (shrink)

The number of adjustable parameters in a model or hypothesis is often taken as the formal expression of its simplicity. I take issue with this `definition´ and argue that comparative simplicity has a quasi-empirical measure, reflecting experts’ judgements who track past use of a model-type in or across domains. Since models are represented by restricted sets of functions in a suitable space, formally speaking, a general `measure of simplicity´ may be defined implicitly for the elements of a function (...) class='Hi'>space. This paper sketches such a framework starting from intuitive constraints. It is shown how experts’ judgements feed into this framework and how the usual definition can be recovered. A theorem by H. Akaike in the theory of model-choice has recently been used to shine new light on the relationship between the demand for simplicity and empirical success, or even `truth´. The approach favored here permits an alternative answer based on a reliabilist account of justification: if judgements of simplicity track past successful use of a model-type comparative simplicity is evidential and inductive. (shrink)

The effects of natural selection as a process in natural populations differs from ''survival of the fittest'' as it was formulated by Darwin in his ''Origin of Species''. The environment of a population exists of continuous changing conditions, which are heterogeneous in space. During its life each individual successively meets with differing conditions. During these confrontations the individual may appear to be ''unfit'' or ''unlucky'' and may die. If it survives it will meet the following conditions to which it (...) is ''tested'' anew, a.s.o. Hence, many individuals being less fit under certain conditions will survive and reproduce, because they did not meet a deadly moment. Therefore, being ''fit'' only refers to special prevalent conditions. In each generation the individuals thus being ''unfit'' will be eliminated together with the ''unlucky'' ones. All other individuals will survive and reproduce, notwithstanding their properties.Hence, natural selection results in the ''non-survival of the non-fit'' rather than in ''survival of the fittest'', because being ''fit'' simply means ''having survived and reproduced'', whereas being ''unfit'' can be connected with many kinds of properties and environmental conditions, e.g. being killed by a predator. Only after many generations (hundreds or even thousands) the effect of eventually dominating properties of the survivors may result in a set of properties suggesting an overall ''survival of the fittest''. This was what Darwin wanted to explain as he was mainly interested in evolutionary processes. (shrink)

Though only one component product of the larger eugenics movement, the eugenic family study proved to be, by far, its most potent ideological tool. The Kallikak Family, for instance, went through eight editions between 1913 and 1931. This essay argues that the current scholarship has missed important ways that the architects of the eugenic family studies theorized and described the subjects of their investigation. Using one sparsely interrogated work and one previously unknown eugenic family study from the Southern Plains, this (...) essay aims to introduce “environment” as a schema that allows for how the subjects of the eugenic family study were conceptualized with respect to their surroundings. Geospatially and environmentally relevant constructions of scientific knowledge were central to the project of eugenics during its formative years, but remain largely and conspicuously absent from the critical literature which engages this project to separate the fit from the unfit in American society. The dysgenic constituted a unique human geography, giving us significant insight into how concatenations of jurisprudence as well as cultural and social worth were tied to the land. (shrink)

It is a commonplace in the philosophy of physics that any local physical theory can be represented using arbitrary coordinates, simply by using tensor calculus. On the other hand, the physics literature often claims that spinors \emph{as such} cannot be represented in coordinates in a curved space-time. These commonplaces are inconsistent. What general covariance means for theories with fermions, such as electrons, is thus unclear. In fact both commonplaces are wrong. Though it is not widely known, Ogievetsky and Polubarinov (...) constructed spinors in coordinates in 1965, enhancing the unity of physics and helping to spawn particle physicists' concept of nonlinear group representations. Roughly and locally, these spinors resemble the orthonormal basis or "tetrad" formalism in the symmetric gauge, but they are conceptually self-sufficient and more economical. The typical tetrad formalism is de-Ockhamized, with six extra field components and six compensating gauge symmetries to cancel them out. The Ogievetsky-Polubarinov formalism, by contrast, is Ockhamized, with most of the fluff removed. As developed nonperturbatively by Bilyalov, it admits any coordinates at a point, but "time" must be listed first. Here "time" is defined in terms of an eigenvalue problem involving the metric components and the matrix $diag$, the product of which must have no negative eigenvalues in order to yield a real symmetric square root that is a function of the metric. Thus even formal general covariance requires reconsideration; the atlas of admissible coordinate charts should be sensitive to the types and \emph{values} of the fields involved. Apart from coordinate order and the usual spinorial two-valuedness, Ogievetsky-Polubarinov spinors form, with the metric, a nonlinear geometric object, for which important results on Lie and covariant differentiation are recalled. Such spinors avoid a spurious absolute object in the Anderson-Friedman analysis of substantive general covariance. They also permit the gauge-invariant localization of the infinite-component gravitational energy in General Relativity. Density-weighted spinors exploit the conformal invariance of the massless Dirac equation to show that the volume element is absent. Thus instead of an arbitrary nonsingular matrix with 16 components, 6 of which are gauged away by a new local $O$ gauge group and one of which is irrelevant due to conformal covariance, one can, and presumably should, use density-weighted Ogievetsky-Polubarinov spinors coupled to the 9-component symmetric square root of the part of the metric that fixes null cones. Thus $\frac{7}{16}$ of the orthonormal basis is eliminated as surplus structure. Greater unity between spinors and tensors and the like is achieved, such as regarding conservation laws. Regarding the conventionality of simultaneity, an unusually wide range of $\epsilon$ values is admissible, but some extreme values are inadmissible. Standard simultaneity uniquely makes the spinor transformation law linear and independent of the metric, because transformations among the standard Cartesian coordinate systems fall within the conformal group, for which the spinor transformation law is linear. The surprising mildness of the restrictions on coordinate order as applied to the Schwarzschild solution is exhibited. (shrink)

Hierarchical Bayesian models provide an account of Bayesian inference in a hierarchically structured hypothesis space. Scientific theories are plausibly regarded as organized into hierarchies in many cases, with higher levels sometimes called ‘paradigms’ and lower levels encoding more specific or concrete hypotheses. Therefore, HBMs provide a useful model for scientific theory change, showing how higher-level theory change may be driven by the impact of evidence on lower levels. HBMs capture features described in the Kuhnian tradition, particularly the idea that (...) higher-level theories guide learning at lower levels. In addition, they help resolve certain issues for Bayesians, such as scientific preference for simplicity and the problem of new theories. (shrink)

It is a commonplace in the philosophy of physics that any local physical theory can be represented using arbitrary coordinates, simply by using tensor calculus. On the other hand, the physics literature often claims that spinors \emph{as such} cannot be represented in coordinates in a curved space-time. These commonplaces are inconsistent. What general covariance means for theories with fermions, such as electrons, is thus unclear. In fact both commonplaces are wrong. Though it is not widely known, Ogievetsky and Polubarinov (...) constructed spinors in coordinates in 1965, enhancing the unity of physics and helping to spawn particle physicists' concept of nonlinear group representations. Roughly and locally, these spinors resemble the orthonormal basis or "tetrad" formalism in the symmetric gauge, but they are conceptually self-sufficient and more economical. The typical tetrad formalism is de-Ockhamized, with six extra field components and six compensating gauge symmetries to cancel them out. The Ogievetsky-Polubarinov formalism, by contrast, is Ockhamized, with most of the fluff removed. As developed nonperturbatively by Bilyalov, it admits any coordinates at a point, but "time" must be listed first. Here "time" is defined in terms of an eigenvalue problem involving the metric components and the matrix $diag$, the product of which must have no negative eigenvalues in order to yield a real symmetric square root that is a function of the metric. Thus even formal general covariance requires reconsideration; the atlas of admissible coordinate charts should be sensitive to the types and \emph{values} of the fields involved. Apart from coordinate order and the usual spinorial two-valuedness, Ogievetsky-Polubarinov spinors form, with the metric, a nonlinear geometric object, for which important results on Lie and covariant differentiation are recalled. Such spinors avoid a spurious absolute object in the Anderson-Friedman analysis of substantive general covariance. They also permit the gauge-invariant localization of the infinite-component gravitational energy in General Relativity. Density-weighted spinors exploit the conformal invariance of the massless Dirac equation to show that the volume element is absent. Thus instead of an arbitrary nonsingular matrix with 16 components, 6 of which are gauged away by a new local $O$ gauge group and one of which is irrelevant due to conformal covariance, one can, and presumably should, use density-weighted Ogievetsky-Polubarinov spinors coupled to the 9-component symmetric square root of the part of the metric that fixes null cones. Thus $\frac{7}{16}$ of the orthonormal basis is eliminated as surplus structure. Greater unity between spinors and tensors and the like is achieved, such as regarding conservation laws. Regarding the conventionality of simultaneity, an unusually wide range of $\epsilon$ values is admissible, but some extreme values are inadmissible. Standard simultaneity uniquely makes the spinor transformation law linear and independent of the metric, because transformations among the standard Cartesian coordinate systems fall within the conformal group, for which the spinor transformation law is linear. The surprising mildness of the restrictions on coordinate order as applied to the Schwarzschild solution is exhibited. (shrink)

The gain of a selective advantage in cancer as well as the establishment of complex traits during evolution require multiple genetic alterations, but how these mutations accumulate over time is currently unclear. There is increasing evidence that a mutator phenotype perpetuates the development of many human cancers. While in some cases the increased mutation rate is the result of a genetic disruption of DNA repair and replication or environmental exposures, other evidence suggests that endogenous DNA damage induced by AID/APOBEC cytidine (...) deaminases can result in transient localized hypermutation generating simultaneous, closely spaced (i.e. “clustered”) multiple mutations. Here, we discuss mechanisms that lead to mutation cluster formation, the biological consequences of their formation in cancer and evidence suggesting that APOBEC mutagenesis can also occur genome‐wide. This raises the possibility that dysregulation of these enzymes may enable rapid malignant transformation by increasing mutation rates without the loss of fitness associated with permanent mutators. (shrink)

The concept of place is ultimately a matter of ethical significance—of where something fits in a nexus or structure of meaning. Often this meaning is quite personal, involving a sense of presence we associate with a place. This essay investigates this connection through a study of Wordsworth’s poem, “Tintern Abbey.” It argues that the notion of a presence-infused place is ultimately that of a second-personal space. Presence is a matter of second-personal openness. Therefore, when presence infuses place, it makes (...) its space second-personal also. (shrink)

Based on two years of ethnographic fieldwork in an urban elementary school, this volume is an examination of how school division politics, regional economic policies, parental concerns, urban development efforts, popular cultures, gender ideologies, racial politics, and university and corporate agendas come together to produce educational effects. Unlike conventional school ethnographies, the focus of this work is less on classrooms than on the webs of social relations that embed schools in neighborhoods, cities, states, and regions. Utilizing a variety of narratives (...) and analytical styles, this volume: * explores how curriculum innovations are simultaneously made possible by and undermined by school district politics, neighborhood histories, and the spatial and temporal organizations of teachers' and parents' lives; * situates the educational discourse of administrators and teachers in the changing economic and political climates of the city; * analyzes the motivations behind an effort by school and business proponents to refashion classrooms within the school into business enterprises, and of children's efforts to make sense of the scheme; * examines the role of the school as a neighborhood institution, situating it at the intersections of city planners' efforts to regulate city space and children's efforts to carve out live spaces through out-of-school routines; * contemplates the meaning of school as a site for bodily experience, and looks at how patterns of space and control in the school shaped children's bodies, and at how they continued to use body-based languages to construct maturity, gender, and race; and * investigates the school as a space for the deployment of symbolic resources where children learned and constructed identities through their engagements with television, comic books, movies, and sports. _Tangled Up In School_ raises questions about how we draw the boundaries of the school, about how schools fit into the lives of children and cities, and about what we mean when we talk about "school.". (shrink)

The paper focuses on some puzzles about Carnap's intended epistemological point in the "completion" and "generalization" of the Anschauungsraum in sec. II of Der Raum (leaving aside the technical problems which also arise). Since any global structure at all requires that eidetic intuition be supplemented with freely-chosen postulates and/or intuitively unmotivated generalizations, it is unclear, as several authors have pointed out, how and in what sense "intuitive space" as a whole represents a distinctive, a priori contribution to our knowledge. (...) I suggest a way of approaching this issue based on Carnap's sources -- in particular, Husserl and Driesch, both of whom he repeatedly claims to be following. The idea of a severely finite realm of possible intuition, which both requires and allows supplementation with an infinite conceptual structure, is central to Husserl's thought, and, I argue, it would be natural for Carnap to rely on it in attempting to reconcile Husserlian eidetic intuition with the general theory of relativity. That this larger conceptual structure owes its details to free postulation is, on the other hand, decidedly un-Husserlian. But here, I claim, Carnap takes his cue from Driesch's view, in the first edition of the Ordnungslehre, that natural actuality is the result of a certain demand for order: we demand such order in natural things and reject as non-actual (hallucinatory, dreamed, etc.) whatever nature-like elements of experience fail to fit into it. In conclusion I suggest that more radical versions of this particular constellation of ideas provide the key to understanding much of Carnap's later thought. (shrink)

continent. 1.4 (2011): 253—278. A Sense of French Politics Politics itself is not the exercise of power or struggle for power. Politics is first of all the configuration of a space as political, the framing of a specific sphere of experience, the setting of objects posed as "common" and of subjects to whom the capacity is recognized to designate these objects and discuss about them.(1) On April 14, 2011, France implemented its controversial ban of the niqab and burqa , (...) commonly referred to as the Islamic veil, in public places. On the coattails of the 2004 prohibition of religious artifacts, including the less concealing hijab or Islamic headscarves, in schools, the veil ban sparked equal outrage across both political and theological spectra, and many on both sides of the debate were quick to inquire about enforcement. As Steven Erlanger reports, “The police do not have the authority under the law to remove full veils, only to fine or require citizenship lessons for those who violate the new law.”(2) While the legal and social implications of this interdiction are ripe for study, the reprisals for breaking the law, notably compulsory citizenship classes, illuminate the strategic governmentality underlying the French government's targeting of the Muslim community, particularly those elements it considers affiliated with fundamentalist factions and/or terrorist organizations, if only through fashion—an integral component of French citizenship. Indeed, in allowing the (fashion) police to mandate instructional courses in citizenship for offenders, France implies that any Muslim choosing to wear the niqab or burqa , perhaps even for those who are already citizens, must not be aware of the subtle nuances of dress indicative of the French citizenry within public space. Furthermore, the degree of instruction requisite to citizenship, which clearly can and must be updated as the state sees fit, cements the imagined relation between citizens and states within the discourses on the veil ban. As Sharma contends, “Concepts of citizenship are the ideological glue that bonds the nation to the state. Citizenship provides the legal framework through which the state performs its role as ruler for the nation.”(3) Speaking for/as the state, French President Nicolas Sarkozy declared in a 2009 presentation before members of the government and other citizens that the burqa “is not welcome on the territory of France.”(4) Although there is nothing unique, especially recently, about a nation-state taking extreme measures to guard itself against what it deems to be threats to its sovereignty, the way in which the ongoing discourses on hijab have (d)evolved, which coincide with recent pronouncements by governmental leaders in Germany, Britain, and France that policies of multiculturalism have “failed,”(5) points toward nationalist reterritorializations, which is also to say physical and ideological re-appropriations, of public space within democratic milieux, which remain predicated upon the mediation of spaces. As Panagia deduces from Rancière, “Democracy […] is not an institutional form of government […], but an appearance whose visibilities and audibilites arise out of the dissonant blur of the everyday.”(6) Ultimately, the veil ban represents a calculated move to regulate the every day, which is to say the micropolitics of, that which is visible and invisible within French society, which makes it nothing short of a struggle to manage (the sensation of) bodies. Re-situating the political within the context of sense, Rancière argues that the fundamental essence of politics lies within the distinction between consensus and dissensus , and whereas most consider politics proper as fundamentally concerned with the fluid operations of the state— consensus , Rancière actually locates the political within events that disrupt the normative sensory order of things— dissensus . He explains, “Politics revolves around what is seen and what can be said about it, around who has the ability to see and the talent to speak, around the properties of spaces and the possibilities of time.”(7) This reformulation of politics centers on agency and, albeit perhaps unintended, representationality and offers a useful formulation for spatializing the discourses surrounding the Islamic veil, which are mired within seemingly senseless policies and practices of objectification. Instituting a normative “regime of visibility,” the French veil ban encapsulates the political economy of agency, now both mediated and representational, under the rule of nationalist governmentalities in increasingly transnational contexts.(8) Adjudicating presence within public space signals a concern with the sensory aspects of agency itself—what Rancière terms the “distribution of the sensible,” which is “a matrix that defines a set of relations between sense and sense: that is, between a form of sensory experience and an interpretation which makes sense of it.”(9) To be concerned with sense is to focus upon the body, and this somatic repositioning of the (fashionable) citizen within the territory of the state augurs the resurgence of nationalist bio-politics within Europe, since, as Hage explicates, “Nationalism, before being an explicit practice or a mode of classification, is a state of the body. It is a way of imagining one's position within the nation and what one can aspire to as a national.”(10) The French government's attempt to make (bodily) sense of public space for its citizens by and through policies aimed against a burqa-clad Muslim minority, which might only apply to “less then 400 to fewer than 2,000” women(11), reveals the necessary, yet mercurial, transmutation of public space into national space through bio-political strategies of sense-making, which, as Hage observes, denotes that “nationalists perceive themselves as spatial managers.”(12) At the center of this concern over public space is the equally contentious dimension of governing female Islamic identity, which has become one of the main critiques levied against Islam from outsiders who view the veil in its various forms as a clear sign of the religion's actual and symbolic violence against women, even if such critiques remain ensconced within nationalist discourses. As Halim and Meyers argue, “Although Western news media may focus their coverage of Muslim women on the debate over whether and the extent to which the veil may by oppressive to the women who wear it, they have exhibited little interest in the physical oppression of violence against women in Islamic countries.”(13) While it falls outside of the scope of this analysis to arbitrate all of the dimensions of this debate, understanding some of the issues related to female identity and hijab within public space are crucial to this study. As these topics are extraordinarily complex, even and perhaps especially within the Muslim community, it is necessary to provide some context concerning the value, purpose, and meaning of the Islamic veil, which has a rich and arduous history. The Art of the Veil At present, there are only two countries, Iran and Saudi Arabia, that require women to wear hijab , which is a decidedly problematic term and concept whose locus is itself caught within a struggle of sensation. Noting the strategic reterritorialization of the term, Berger explains: The choice of the name, hijab , now widely adopted to designate the “Islamic veil,” it itself interesting, although the semantic shift it operates is not directly commented upon by its users. Although the design (both the cut and the symbolic function) of the hijab and the Iranian chador are indeed the same, as opposed, for instance, to the traditional Algerian haik , the word hijab has come to replace the term chador popularized by the Iranian revolution, as a properly Arabic (hence Koranic) designation. This discursive shift points to the successful reclaiming of the national revolution in Iran by a transnational pan-Islamic movement, whose language of reference can only be Koranic Arabic.(14) While the hijab is certainly a point of contention within various countries dealing with immigrant Islamic populations (of which France has the largest in Europe as part of its colonial legacy in Algeria), it is clear that the veil is a historically contextualized artifact of Muslim identity with a variety of manifestations, even as forces outside of and within Islam seek to codify its actual and symbolic value. Ultimately, the varieties of hijab , including the full-faced burqa and niqab , are complex assemblages of meaning that speak to the multitudinous flows of Islamic identities over time and space. As Gökariksel and McLarney observe, “Wearing a certain style of veil may simultaneously be a disciplinary practice crucial to the cultivation of piety (Mahmood 2005; Gokariksel 2009) and a gendered performance of social distinction in terms of class, taste, and urbanity (White 1999; Navaro-Yashin 2002; Gokariksel and Secor 2009) or of ethnicity and race (Dwyer 1999).”(15) The ideological marketplace from which the varieties of hijab ebb and flow serves both as a reflection of the ever-present materiality and dynamic functionality of spiritual economies, which are derivative of the equally ubiquitous flows of transnational capital driving agency and representationality within our historical moment. Keeping these dual, yet deeply interconnected, capital ecologies as the site of exploration for how the veil is represented within public space, one might begin to sense what lurks behind such veiled agendas. Examining the symbolic and representational nature of the Islamic “veil” in its various forms, this project situates the decidedly political contestations of public space at stake in the French ban alongside recent condemnations of multiculturalism as calculated efforts to re-distribute the sensible so as to valorize national identity within increasingly transnational and globalized socio-economic spaces, which collapse exchange values between distinct, yet interwoven, economies of (cultural/material/spiritual) capital. As the discourses on the veil rely upon representational imag(in)ings, it seems fitting to explore the political economy and art of the veil through the phenomenon of street art, which, much like hijab , is a complex assemblage of meaning of sensation mired in representationality and capital exchange. As street artists have taken up hijab in various forms, the movement offers a lens with which to situate critical responses to the veil debate across both spiritual and material economies. Situating this street art both aesthetically and historically, Lewisohn explains, “'Street art' is a sub-genre of graffiti writing and owes much to its predecessor. Though there is a good deal of crossover between the genres, they are distinct and separate in their own right.”(16) Evolving out of the graffiti explosion of the late 1970's and 1980's, street art broke the unspoken rules of the artistic underground by challenging and re-examining one's sensory experience of art in public space by experimenting with both content and form in ways that harken back to the Situationist International, which as a collective challenged one's experience of urban space through various media and experiential phenomena. Again, Lewisohn observes, “It's important to note street art's break with the tradition of the tag, and its focus on visual symbols that embrace a much wider range of media than graffiti writers would use.”(17) From stencils to prints and murals to one-liners, street artists developed a reputation for critical social and political commentary, and while it is certainly the case that not all street art is intentionally political, in challenging the normative “regime of visibility,” as Rancière puts it, of public space, street artists—even if unconsciously—call into question the common sensory experience of the politics underlying the formation of (nationalist) space.(18) Indeed, Rancière refers to the partisan sensory managers as “police,” who ultimately forge “the rules governing the circulation of appearances, of their visibility and audibility, and the proper distribution of bodies therein.”(19) As such, one can sense that street art's relationship with the police is tenous for a variety of reasons. Writing about his own experience as a street artist, Shepard Fairey observes, “With street art, there's no committee deciding whether I can put my work up on the street, there's no censorship, and I have total freedom of expression, and that concept of freedom is expressed just by using the street as a medium.”(20) As Fairey and other street artists demonstrate, the medium, to paraphrase Marshall McLuhan, is the most glaring aspect of street art's message, and even as it now finds itself in galleries and usurped by private collectors, the ethos of the movement remains relavent to politics as it is, first and foremost, concerned with the configuration and experience of space. Just as examining the punishments for breaking the veil ban can map the terrain of French politics, a representational genealogy of street artist's deployment of hijab and female Muslim identity can assist in mining the depths of public space as a site of bio-political control and contestation in light of recent events in France and the rising tide of anti-multiculturalist rhetoric across Europe, even though the Islamic presence there is radically heterogenous. Using the work of Shepard Fairey, Princess Hijab, br1, and Banksy, this paper sets out to answer a number of key questions concerning the deployment of hijab, and female Islamic identity in particular, within street art as a movement now integral to and critical of the economies of exchange underlying global capitalism, which as a force of influence cannot be underestimated as a driver in the resurgence of nationalist biopolitical governmentalities. Although there exists a litany of artists to choose from, the aforementioned quartet of designers integrate hijab into their work in a seminal and critical fashion, and all have been working with the veil in some way prior to the French ban, which grants some additional context to their usage of it as a symbol in regards to the breakdown of multiculturalism across Europe, even if unconsciously. Although each artist depicts various amalgamations of hijab in their respective corpus, they share common tropes that raise significant questions concerning the veil debate, namely: what are the conditions of possibility for hijab to become a marker of Islamic identity within public space? How can we make sense of the representational topologies within street art's utilization of the hijab and female Islamic identity in light of the French ban? How might these aesthetic imag(in)ings simultaneously inhabit and combat normative discourses concerning hijab , multiculturalism, female Islamic identity, and public space? With these considerations as a backdrop, it is first necessary to outline more fully the hijab as a representative marker of female Islamic identity. The (Veiled) Writing on the Wall

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