Albert Einstein's bold assertion of the form-invariance of the equation of a spherical light wave with respect to inertial frames of reference became, in the space of six years, the preferred foundation of his theory of relativity. Early on, however, Einstein's universal light-sphere invariance was challenged on epistemological grounds by Henri Poincaré, who promoted an alternative demonstration of the foundations of relativity theory based on the notion of a light-ellipsoid. Drawing in part on archival sources, this paper shows how (...) an informal, international group of physicists, mathematicians, and engineers, including Einstein, Paul Langevin, Poincaré, Hermann Minkowski, Ebenezer Cunningham, Harry Bateman, Otto Berg, Max Planck, Max Laue, A. A. Robb, and Ludwig Silberstein, employed figures of light during the formative years of relativity theory in their discovery of the salient features of the relativistic worldview. (shrink)

This textbook is designed for an Introduction to Proofs course organized around the themes of number and space. Concepts are illustrated using both geometric and number examples, while frequent analogies and applications help build intuition and context in the humanities, arts, and sciences. Sophisticated mathematical ideas are introduced early and then revisited several times in a spiral structure, allowing students to progressively develop rigorous thinking. Throughout, the presentation is enlivened with whimsical illustrations, apt quotations, and glimpses of mathematical history (...) and culture. Early chapters integrate an introduction to sets, logic, and beginning proof techniques with a first exposure to more advanced mathematical structures. The middle chapters focus on equivalence relations, functions, and induction. Carefully chosen examples elucidate familiar topics, such as natural and rational numbers and angle measurements, as well as new mathematics, such as modular arithmetic and beginning graph theory. The book concludes with a thorough exploration of the cardinalities of finite and infinite sets and, in two optional chapters, brings all the topics together by constructing the real numbers and other complete metric spaces. Designed to foster the mental flexibility and rigorous thinking needed for advanced mathematics, Introduction to Mathematics suits either a lecture-based or flipped classroom. A year of mathematics, statistics, or computer science at the university level is assumed, but the main prerequisite is the willingness to engage in a new challenge. (shrink)

According to the conventionalist doctrine of space elaborated by the French philosopher-scientist Henri Poincaré in the 1890s, the geometry of physical space is a matter of definition, not of fact. Poincaré’s Hertz-inspired view of the role of hypothesis in science guided his interpretation of the theory of relativity (1905), which he found to be in violation of the axiom of free mobility of invariable solids. In a quixotic effort to save the Euclidean geometry that relied on this axiom, (...) Poincaré extended the purview of his doctrine of space to cover both space and time. The centerpiece of this new doctrine is what he called the ‘‘principle of physical relativity,’’ which holds the laws of mechanics to be covariant with respect to a certain group of transformations. For Poincaré, the invariance group of classical mechanics defined physical space and time (Galilei spacetime), but he admitted that one could also define physical space and time in virtue of the invariance group of relativistic mechanics (Minkowski spacetime). Either way, physical space and time are the result of a convention. (shrink)

The space we create -- Surfaces -- Shaping the self -- The hidden hand -- Pulling strings -- Perspectives -- Learning to solve problems -- Purpose -- Costs -- Of one mind.

From off-brand products to elevator music, the "generic" is discarded as the copy, the knock-off, and the old. In The Copy Generic, anthropologist Scott MacLochlainn insists that more than the waste from the culture machine, the generic is a universal social tool, allowing us to move through the world with necessary frames of reference. It is the baseline and background, a category that includes and orders different types of specificity yet remains non-specific in itself. Across arenas as diverse as (...) city planning, social media, ethnonationalism, and religion, the generic points to spaces in which knowledge is both over-produced and desperately lacking. Moving through ethnographic and historical settings in the Philippines, Europe, and the United States, MacLochlainn reveals ways the "generic" is crucial to how things repeat, circulate, and are classified in the world. (shrink)

What are the objects of science? Are they just the things in our scientific experiments that are located in space and time? Or does science also require that there be additional things that are not located in space and time? Using clear examples, these are just some of the questions that Scott Berman explores as he shows why alternative theories such as Nominalism, Contemporary Aristotelianism, Constructivism, and Classical Aristotelianism, fall short. He demonstrates why the objects of scientific (...) knowledge need to be not located in space or time if they are to do the explanatory work scientists need them to do. The result is a contemporary version of Platonism that provides us with the best way to explain what the objects of scientific understanding are, and how those non-spatiotemporal things relate to the spatiotemporal things of scientific experiments, as well as everything around us, including even ourselves. (shrink)

One of the dominant characteristics of Western philosophical and literary history of the last two centuries is that the object of desire (in the novel) and the object of perception (in epistemology) have been made to reveal aspects which are more complex than the classical age had suspected. With Descartes, everything was clear: the object is but a portion of extension. But with Kant things already become more complicated: the object has a mysterious. en-soi (an sich-in itself) which escapes us. (...) And the object of desire, in literature, acquires such a mystic character that it loses its status of creature. “For what the romantic lover seeks is not really the beloved”, writes Eric Heller. “Intermingled with his erotic craving, inarticulate, diffuse, and yet dominating it, is the desire for spiritual salvation.” It is no longer the object (the creature) which one wishes to embrace, but the invisible reality mirrored in it. Desire does not tend so much toward objects as toward what lies beyond these objects where, it believes, it will find its salvation. (shrink)

This paper considers Hegel's views on space and his account of Kant's theory of space. I show that Hegel's discussions of space exhibit a deep understanding of Kant's apriority argument in the first Critique , commit him to the central premise of that argument, and separate his concerns from the familiar problem of the neglected alternative. Nevertheless, Hegel makes two objections to Kant's theory of space. First, he argues that the theory is internally inconsistent insofar as (...) Kant's identification of space with an a priori intuition is incompatible with the doctrine of productive imagination in the transcendental deduction of the categories. Second, Hegel argues that the apriority argument is insufficiently critical insofar as it relies upon an unexamined theory of subjectivity as a set of representational capacities. I conclude by outlining Hegel's strategy for undermining the assumptions concerning subjectivity that give form to Kant's transcendental philosophy. Because Hegel's positive views on space depend upon his articulation of an alternate notion of subjectivity, the account of Hegel's position on space offered here remains incomplete. On the other hand, considering Hegel's discussions of space demonstrates both the nature and the importance of his examination of subjectivity in the Phenomenology. (shrink)

Do contemporary big-budget blockbuster films like Gravity move something in us that is fundamentally the same as what avant-garde and experimental films have done for more than a century? In a powerful challenge to mainstream film theory, Cinema's Bodily Illusions demonstrates that this is the case. Scott C. Richmond bridges genres and periods by focusing, most palpably, on cinema's power to evoke illusions: feeling like you're flying through space, experiencing 3D without glasses, or even hallucinating. He argues that (...) cinema is, first and foremost, a technology to modulate perception. He presents a theory of cinema as a proprioceptive technology: cinema becomes art by modulating viewers' embodied sense of space. It works primarily not at the level of the intellect but at the level of the body. Richmond develops his theory through examples of direct perceptual illusion in cinema: hallucinatory flicker phenomena in Tony Conrad's The Flicker, eerie depth effects in Marcel Duchamp's Anémic Cinéma, the illusion of bodily movement through onscreen space in Stanley Kubrick's 2001, Godfrey Reggio's Koyaanisqatsi, and Alfonso Cuarón's Gravity. In doing so he combines insights from Maurice Merleau-Ponty's phenomenology of perception and James J. Gibson's ecological approach to perception. The result is his distinctive ecological phenomenology, which allows us to refocus on the cinema's perceptual, rather than representational, power. Arguing against modernist habits of mind in film theory and aesthetics, and the attendant proclamations of cinema's death or irrelevance, Richmond demonstrates that cinema's proprioceptive aesthetics make it an urgent site of contemporary inquiry. (shrink)

_ Source: _Volume 5, Issue 2, pp 290 - 322 Einstein's special theory, as interpreted by Herman Minkowski, suggests that an understanding of space and time requires the replacement of three-dimensional space and one dimensional time with a four-dimensional spacetime continuum, as a natural kind of thing with a characteristic, geometrical, structure. Issues of space and time in general, and of special relativity in particular, are not addressed in Bhaskar's _A Realist Theory of Science_, and their treatment (...) in subsequent realist writings has been patchy and indecisive. Some of Bhaskar's observations in later writings, including his defence of fundamental ontological asymmetries between space and time, and between present, past and future, appear incompatible with a relativistic perspective. Equally problematic, from a critical realist perspective, is the apparent ontological prioritisation of events, and causation as action-by-contact, within the Minkowski interpretation of special relativity. This paper argues that the four-dimensional spacetime continuum of special relativity occupies its own level at the base of the ontological hierarchy of natural kinds, providing lower-order components and laws for higher-order physical, chemical, biological and social structures. While providing no definitive reconciliation of relativistic and realist perspectives, this paper does suggest that A. N. Whitehead's idea of atomic events, or ‘actual occasions’, could pave the way for some possible future reconciliation. (shrink)

This article presents a case study of life and work at the Royal Observatory at Greenwich which reveals tensions between the lived reality of the observatory as a social space, and the attempts to create order, maintain discipline and project an image of authority in order to ensure the observatory's long-term stability. Domestic, social and scientific activities all intermingled within the observatory walls in ways which were occasionally disorderly. But life at Greenwich was carefully managed to stave off such (...) disorder and to maintain an appearance of respectability which was essential to the observatory's reputation and output. The article focuses on three areas of management: the observatory's outer boundaries, demonstrating how Greenwich navigated both human and environmental intrusions from the wider world; the house, examining how Greenwich's domestic spaces provided stability, while also complicating observatory life via the management of domestic servants; and the scientific spaces, with an emphasis on the work and play of the observatory's boy computers. Together, these three parts demonstrate that the stability of the observatory was insecure, despite being perpetuated via powerful physical and social boundaries. It had to be continually maintained, and was regularly challenged by Greenwich's occupants and neighbours. (shrink)

We define a mathematical formalism based on the concept of an ‘‘open dynamical system” and show how it can be used to model embodied cognition. This formalism extends classical dynamical systems theory by distinguishing a ‘‘total system’’ (which models an agent in an environment) and an ‘‘agent system’’ (which models an agent by itself), and it includes tools for analyzing the collections of overlapping paths that occur in an embedded agent's state space. To illustrate the way this formalism can (...) be applied, several neural network models are embedded in a simple model environment. Such phenomena as masking, perceptual ambiguity, and priming are then observed. We also use this formalism to reinterpret examples from the embodiment literature, arguing that it provides for a more thorough analysis of the relevant phenomena. (shrink)

Questions of whether anything exceeds reasonable sense and meaning have persisted throughout the history of philosophy. These questions have even continued in postmodern thought as well as in liberatory philosophies in which many kinds of events and lineages are experienced and seen as beyond philosophy. In this cowritten text, distinguished philosophers Nancy Tuana and Charles Scott pay particular attention to lineages and their dynamism as they develop the idea of things beyond philosophy, beyond norms. This is not a history (...) of philosophy or a critical study of a particular philosopher but a way to engage experience around dimensions of events that are beyond measuring, counting, meaning, and value. These attunements, they assert, are vitally important for the ways people orient themselves in the world and comport themselves in it. Tuana and Scott build on the alternatives to normative ethics that they find in the work of Nietzsche, Foucault, and Anzaldúa. They urge attunement to the world as a way to speak about what is impossible to give voice to, to live in the spaces between speech and the unspeakable, and to conceptualize and articulate the boundaries of rational sensibility. (shrink)

The visual world of adults consists of objects at various distances, partly occluding one another, substantial and stable across space and time. The visual world of young infants, in contrast, is often fragmented and unstable, consisting not of coherent objects but rather surfaces that move in unpredictable ways. Evidence from computational modeling and from experiments with human infants highlights three kinds of learning that contribute to infants’ knowledge of the visual world: learning via association, learning via active assembly, and (...) learning via visual-manual exploration. Infants acquire knowledge by observing objects move in and out of sight, forming associations of these different views. In addition, the infant’s own self-produced behavior—oculomotor patterns and manual experience, in particular—is an important means by which infants discover and construct their visual world. (shrink)

Despite the iconic roles of coelacanths, cycads, tadpole shrimps, and tuataras as taxa that demonstrate a pattern of morphological stability over geological time, their status as living fossils is contested. We responded to these controversies with a recommendation to rethink the function of the living fossil concept. Concepts in science do useful work beyond categorizing particular items and we argued that the diverse and sometimes conflicting criteria associated with categorizing items as living fossils represent a complex problem space associated (...) with answering a range of questions related to prolonged evolutionary stasis. Turner defends the living concept against a variety of recent skeptics, but his criticism of our approach relies on a misreading of our main argument. This misreading is instructive because it brings into view the value of three central themes for rethinking the living fossil concept—the function of concepts in biology outside of categorization, the methodological importance of distinguishing parts and wholes in conceptualizing evolutionary phenomena, and articulating diverse explanatory goals associated with these phenomena. (shrink)

The ultimate challenge for psychology as a human science inheres in accessing the experience of the other. In general, the field of psychology has perpetuated the epistemological dualism of distinguishing between the realm accessible by external perception and the realm accessible by inner perception, and hence between the subjective and the objective , regarding the "first person" perspective as a legitimate means of access only to one's own private experience, while insisting that all others' experience must be observed from a (...) neutral "third person" perspective. By reflecting on his participant-observational encounters with the animal other of the Bonobo, the author attempts to demonstrate in this paper the possibility of a third approach between the antinomy of methodological subjectivism and methodological objectivism as a way out of the dilemmas posed by epistemological dualism. The alternative proposed is the "second person" framework of observation, which, by invoking empathic seeing as its means of accessing the private space of the other and creating the space of the "in between", allows for intersubjective engagement in an experiential gestalt consisting of "myself and the other", and offers the possibility of testing one's ‘own' experience of an intersubjective moment in dialogue with the other. In so far as it infers the focusing of consciousness on embodied experience and expression, and the synthesis of receptive and proprioceptive consciousness in "experiaction" , the "second person" perspective restores inner reality to the realm of the observable, and thus reclaims observation as the method of psychology, and behaviour as its subject matter. The notion of empathy and intuition as a reliable and valid mode of access to the psychological life of others is substantiated theoretically with reference to inter alia Husserl's concepts of "coupling" and "co-constitution", Merleau-Ponty's notions of "inter-corporeality" or "carnal intersubjectivity" and of "the intertwining and the chiasm" of the "Ineinander" as constitutive of the "flesh of the world", Laing's postulation of the possibility of "interexperience", and the sense of union with the object of perception implied by Scheler's term "Einsfühlung" as the essence of intersubjective encounter. (shrink)

A computational modeling approach was used to test one possible explanation for the limited capacity of the subitizing phenomenon. Most existing models of this phenomenon associate the subitizing span with an assumed structural limitation of the human information processing system. In contrast, we show how this limit might emerge as the combinatorics of the space of enumeration problems interacts with the human cognitive architecture in the context of an enumeration task. Subitizing‐like behavior was generated in two different models of (...) enumeration, one based on the ACT‐R cognitive architecture and the other based on the principles of parallel distributed processing (PDP). Our results provide good qualitative fits to results obtained in a variety of empirical studies. (shrink)

This volume explores the philosophical issues involved in the idea of petitionary prayer, where this is conceived as an activity designed to influence the action of the all-knowing, all-powerful, perfectly good God of traditional theism. Theists have always recognized various logical and moral limits to divine action in the world, but do these limits leave any space among God's reasons for petitionary prayer to make a difference? Petitionary Prayer: A Philosophical Investigation develops a new account of the conditions required (...) for a petitionary prayer to be answered by employing the notion of contrastive explanation. With careful attention to recent developments in metaphysics, epistemology, and value theory, Scott A. Davison surveys the contemporary literature on this question. He considers questions about human freedom and responsibility in relation to different views of divine providence, along with the puzzles inherent in Christian teachings concerning petitionary prayer. Davison develops new challenges to the coherence of the idea of answered petitionary prayer based upon the nature of divine freedom, the limits of human knowledge, and the nature of those good things that require a recipient's permission before they can be given. He proposes new defences, building upon careful analysis of the shortcomings of previous proposals and clarifying the issues for future debate. (shrink)

The body of almost every Roman or Byzantine emperor has been lost. This piece draws attention to two skeletons, recovered from a Muslim türbe at Trabzon during World War I by the Russian excavator Feodor Uspensky. Using local oral tradition, Uspensky identified the two bodies he recovered as the Byzantine emperor of Trebizond Alexios IV (1417-1429) and a local Turkish hero Hoşoğlan. Since Uspensky, his identifications have not been challenged nor scientifically examined. This paper argues that Uspensky did not recover (...) just one but two imperial skeletons. It first dissects his identifications, showing how competition for sacred space between Greeks and Turks in the Ottoman period led each community to identify the tomb’s occupants with foundational figures in their communities. After dissecting Uspensky’s identifications, this paper then makes the case that both occupants of this tomb were unidentified members of the Grand Komnenoi family, urging for scientific examination of what may be the only bones of a Byzantine emperor. (shrink)

At first glance, the formulation of the principle of inertia—not. yet complete with Galileo, more precise with Gassendi, finally systematic with Newton—seems to constitute but one of the aspects of a process of deep transformations at the end of which traditional cosmology was replaced by various world systems. These transformations—or, to use a more classic term, this “ scientific revolution” —have been the object of numerous works, a list, of which would alone fill the pages of a thick volume. But (...) the principle of inertia itself, a principle about which can be said without exaggeration that it expressed the essence of this revolution at the same time as it stimulated it, has perhaps not received all the attention it deserves. And especially the impact of this principle on Western culture has not been fully measured. True, Alexandre Koyré has always insisted on the fact that, by reducing movement to a state like that of the state of rest, the principle of inertia expressed a new vision of the world more than a scientific result. But his admirable analyses deal more with the slow advent of the priciple of inertia among the natural philosophers who preceded, accompanied and then followed Galileo than with the theological, philosophical and literary impact of this principle. Moreover, by examining this impact, we discover that it is necessary to make a distinction between Euclidian space and absolute space, a distinction which is frequently implicit with certain scientific historians, but, and this must be emphasized, is more often ignored. (shrink)

Democracy and the state are two political notions that have come under considerable duress in late modernity. This paper considers a prominent critic of both, Sheldon Wolin. The paper examines three elements that figure in Wolin's analyses of democracy and the modern state in a central way: community, memory, and the culture of history. A theorisation of these elements can illuminate what is at stake in the articulation of political conceptions that yield communal forms through the constitution of political (...) class='Hi'>space. Wolin's analyses of democracy, the state, and modern power can be of help, first, in elucidating the political valences of the three elements themselves; second, in specifying relationships of mutuality among them; and third, in theorising what is at issue in the transposition of these elements from the domestic sphere to the international. The paper speaks mainly to the first and second concerns. A path is explored for thinking what is at stake in the third, namely, locating in and then transposing from the domestic sphere a ‘we’ which does not enjoy a precise ontology, but which is nonetheless capable of giving collaborative efforts in world-political spheres another political ground. (shrink)

The Millennium Development Goals (MDGs), an unprecedented set of global commitments to reduce various forms of human deprivation and promote human development, are set to expire in 2015. Despite their promise, the MDGs are flawed in a variety of ways. The development community is already discussing what improved development framework should replace the MDGs. I argue that global justice advocates should focus first on the procedure for developing the post-2015 development framework. Specifically, they should create spaces for citizens, especially the (...) most marginalized and oppressed, to actively deliberate about the form and content of a future global development framework, and ensure that this deliberation receives political uptake in formal intergovernmental processes for deciding the post-2015 framework. (shrink)

I argue that one of the fundamental conflicts between Socrates and his interlocutors in the Gorgias concerns the nature of human freedom. Against the increasingly grandiose and aggressive claims of his interlocutors, Socrates sees true freedom as requiring discipline in speech and deed. Plato has Socrates argue for a concept of human freedom that finds its fulfillment in happiness only by being channeled through the funnels of philosophy and justice. Central to this Platonic understanding of freedom is the role of (...) eros and imitation. Socrates’s love of truth is the foundation for freedom because it motivates the search for a vision of the true good and therefore provides a formation in justice, creating the space for friendship in community life, that is, for civilization. By contrast, Callicles’s love of the dēmos is an extension of disordered self-love, impelling him to seek the means to placate the masses so that he can enlarge his appetites and continually fill them. Such love enslaves Callicles, corrupts political life, and vitiates the possibility of friendship. Finally, I connect these Platonic insights to central themes in Catholic Social Teaching. (shrink)

I describe several historical cases of engineers or inventors obsessed with perfecting their products, illustrating how in some of those cases the perfectionist impulse led to tremendously valuable innovation, while in others to disaster, or at least to failure of the project to make the mark in history it otherwise could have. The psychological tendency towards perfecting an instrument for achieving some telos beyond what is pragmatically necessary or even desirable was diagnosed by Adam Smith, and may always be a (...) source of mixed blessings. (shrink)

At the end of the sixteenth century, Friar Juan de Torquemada watched the game of volador on the central plaza in Mexico. At the top of a pole some twenty meters high there was a small pivoting platform. Four ropes were wound around the top of the pole and held in place by a wooden frame. Five men dressed in feathery costumes making them look like birds climbed up the shaft. One of them reached the narrow platform and began to (...) dance. Then the other four bird-men tied themselves to the ends of the ropes and plunged into space, head down, held by the ropes around their waists. This initiated a spectacular circular flight in ever widening rings as the cords unwound. They straightened up only at the last moment, just in time to put their feet on the ground, dizzy and staggering. But on that particular day, one of the dancers was not to straighten himself up. The rope had been badly attached and broke, dropping the man like a heavy mass to the ground, lifeless. The Franciscan at once used this as an argument to demand that the Viceroy prohibit this game. But the civil authorities refused to do so, to the monk's great consternation. (shrink)

This article traces the significant links that Virilio's dromological analysis posits between the social and political impact of mechanical vehicles and communications media. Focusing on the way that the 'revolutions' of transportation and transmission have fundamentally altered contemporary experiences of space and time, the article explores the implications of Virilio s concept of spatio-temporal 'overexposure". My contention is that Virilio's work has been of critical importance in placing questions about differential spatio-temporal regimes Oin the political agenda. However, his critique (...) of 'tele-presence. is ultimately hampered by his continued attachment to a phenomenological subject, which I argue does not provide an adequate basis from which to rethink the dominant social relations of time and space manifest in the contemporary media. (shrink)

This paper reviews current initiatives to establish carbon offset forests in suburban and peri-urban environments. While moments of density occur within urban territories the general spatial condition is one of fragmented and patchy networks made up of a heterogeneous mix of residential enclaves, industrial parks, waste sites, infrastructure easements interspersed with forests, agriculture, leftover voids and overlooked open space. These overlooked open spaces have the potential to form a new green urban structure of carbon offset forests as cities respond (...) to the carbon economy. Furthermore such urban spaces are not likely to diminish over time as cities are not only growing larger but are becoming more dispersed according to recent World Bank reports. This strong trend is not limited to developed or developing cities but is a worldwide phenomenon. In the future, policy incentives for carbon sequestration will drive land use change in rural and urban areas alike. The paper documents projects in Blacktown City Council in Western Sydney. (shrink)

Albert Einstein’s bold assertion of the form invariance of the equation of a spherical light wave with respect to inertial frames of reference became, in the space of 6 years, the preferred foundation of his theory of relativity. Early on, however, Einstein’s universal light-sphere invariance was challenged on epistemological grounds by Henri Poincaré, who promoted an alternative demonstration of the foundations of relativity theory based on the notion of a light ellipsoid. A third figure of light, Hermann Minkowski’s lightcone (...) also provided a new means of envisioning the foundations of relativity. Drawing in part on archival sources, this paper shows how an informal, international group of physicists, mathematicians, and engineers, including Einstein, Paul Langevin, Poincaré, Hermann Minkowski, Ebenezer Cunningham, Harry Bateman, Otto Berg, Max Planck, Max von Laue, A. A. Robb, and Ludwig Silberstein, employed figures of light during the formative years of relativity theory in their discovery of the salient features of the relativistic worldview. (shrink)

Originating in a 1983 Mexican Government Program, the term ‘food sovereignty’ was coined in 1996 by La Via Campesina—a global peasant network—to address concerns within the civil society for food security. Rather than to accept the neoliberal framework of mainstream food security definition and governance, the food sovereignty movement seeks to view food security as the right of peoples to define their own food and agriculture systems with limited corporation intervention. As a result, food production should be geared toward the (...) domestic and local markets and not toward international trade that only benefits corporations. This food sovereignty movement was inducted into China in 2013 just as China’s agricultural systems were shifting toward a more corporate-centric structure that increasingly exploits the small-scale farmers. A question was hence raised: How have the global civil society networks influenced the Chinese civil society and promoted China’s local food sovereignty movement? Through the world society theory, the author has identified social forums, such as international conferences and social media channels, as an expedient means for interactions. However, as the Chinese government continues to develop a corporate-centric food security governance system and tighten its civil society space, the impacts of China’s food sovereignty movement remain unclear. (shrink)

In the Critique of Pure Reason (1781/1787), Kant sought to explain the objectivity of cognition by describing the operation of certain human cognitive activities. That is, in some sense Kant explained cognition's objectivity by appealing to features of the mind. A century later, the Marburg School Neo-Kantians Hermann Cohen and Paul Natorp would insist that philosophers must explain cognition's objectivity without appeal to the subject's mind. Once at the center of the Kantian account of objectivity, the mind had been expunged (...) from it. This shift was the emergence of anti-psychologism, the view that the mind has no place in philosophical accounts of cognition's objectivity. This dissertation offers an account of how that shift happened. Chapter 1 argues that a central section of Kant's Critique of Pure Reason, the Transcendental Deduction, is a description of a cognitive operation—namely, the apperception's synthesis of the manifold of sensible intuition. Because this operation is necessary, it determines the structures that a subject's cognition must conform to, and thus explains cognition's objectivity for Kant. But Kant's view that the mind is characterized by necessary cognitive operations was abandoned in the nineteenth century in favour of purely empirical conceptions of the mind. Chapter 2 argues that, in response to this change and in particular to the psychologism of the Back to Kant movement, Cohen developed an anti-psychologistic account of cognition's objectivity: for him, objectivity must be explained by appeal to the principles and laws of mathematics and pure natural science. But his account fails, since he does rot explain why those laws explain cognition's intersubjectivity. Chapter 3 examines Wilhelm Wundt's and Ernst Mach's attempts to articulate purely empirical conceptions of the mind, and to explain cognition's objectivity by appeal to the mind so conceived, as well as Hermann Lotze's anti-psychologism. Chapter 4 argues that, for Natorp, fundamental physical laws constitute the intersubjective content of cognition because they are invariant across space and time, and so different subjects can share representations of them despite having different points of view on the world. Natorp thus finally articulates a successful anti-psychologistic alternative to Kant's account of objectivity. (shrink)

This chapter discusses the roles of ether and electrons in relativity theory. One of the most radical moves made by Albert Einstein was to dismiss the ether from electrodynamics. His fellow physicists felt challenged by Einstein’s view, and they came up with a variety of responses, ranging from enthusiastic approval, to dismissive rejection. Among the naysayers were the electron theorists, who were unanimous in their affirmation of the ether, even if they agreed with other aspects of Einstein’s theory of relativity. (...) The eventual success of the latter theory (circa 1911) owed much to Hermann Minkowski’s idea of four-dimensional spacetime, which was portrayed as a conceptual substitute of sorts for the ether. (shrink)

The task of this article is to carry out a synthetic analysis of the concept of the educational marketplace as it is used in the popular discourse of education reform so as to unpack what has become a commonsensical idea in American politics. It is a conceptual framework that has opened an ever-expanding sovereign space in the American state for the colonization of a public institution by the private sphere by means of public policy. The results of this analysis (...) suggest that the reform policies associated with the concept of the educational marketplace are ineffective in raising average student achievement, have a high probability for generating significant social costs, and are a manifestation of an articulation of power now in ascendancy in the United States. (shrink)

Cities around the globe are immersed in transnational projects of place reconfiguration and attraction. Urban places, intent on competing in the globalized experience-based economy, undertake identity projects—on-going, dynamic processes through which places are produced and reproduced by conscious strategies of place making and identity building (see, for example, Nyseth and Viken 2009). In this article, I employ Henri Lefebvre’s conceptions of a “right to the city” in order to explore the right to full participation in imagining and shaping urban futures. (...) Spatial practices, such as those I term civic tinkering, may offer one way to help enable such imagining.My discussion draws from scholarship on imaginaries and place identity, as well as on my own qualitative field studies conducted in Roanoke, Virginia, in the United States, and Belfast, Northern Ireland in the United Kingdom. While my precise research questions differed in these two sites, I explored, in each instance, the processes of place identification and development centered on arts and culture, and the extent to which marginal groups and their concerns were engaged or considered in such processes. I also explore “tinkering” as a set of activities that hold potential for residents to more fully participate in the urban project byconstructing, altering, and disrupting spatial meanings. Tinkering may be any impermanent, unsanctioned, and informal activity endeavoring to positively alter a city’s identity. Henri Lefebvre described the relevance of such practices in his vision of the city as oeuvre, or ongoing project. (shrink)

Two key phenomena of Merleau-Ponty's _Phenomenology of Perception are habit and inhabiting. Their chief characteristics, respectively, are generalizing actions and actively familiarizing. They are essentially and reciprocally related: inhabiting consists of being in habits and habitual actions are a way of inhabiting. The article focuses on three aspects of Merleau-Ponty's discussions: habit as simultaneously motor and perceptual, the interplay of sedimentation and spontaneity, and the body's inhabiting of space and incorporating of expressive spatiality. Merleau-Ponty's typist example and four examples (...) of the author illustrate that the relationship of habit and inhabiting is a basic structure of being-in-the-world. (shrink)

According to the conventionalist doctrine of space elaborated by the French philosopher-scientist Henri Poincaré in the 1890s, the geometry of physical space is a matter of definition, not of fact. Poincaré’s Hertz-inspired view of the role of hypothesis in science guided his interpretation of the theory of relativity (1905), which he found to be in violation of the axiom of free mobility of invariable solids. In a quixotic effort to save the Euclidean geometry that relied on this axiom, (...) Poincaré extended the purview of his doctrine of space to cover both space and time. The centerpiece of this new doctrine is what he called the ‘‘principle of physical relativity,’’ which holds the laws of mechanics to be covariant with respect to a certain group of transformations. For Poincaré, the invariance group of classical mechanics defined physical space and time (Galilei spacetime), but he admitted that one could also define physical space and time in virtue of the invariance group of relativistic mechanics (Minkowski spacetime). Either way, physical space and time are the result of a convention. (shrink)

The reception of Poincaré’s conventionalist doctrine of space by mathematicians is studied for the period 1891–1911. The opposing view of Riemann and Helmholtz, according to which the geometry of space is an empirical question, is shown to have swayed several geometers. This preference is considered in the context of changing views of the nature of space in theoretical physics, and with respect to structural and social changes within mathematics. Included in the latter evolution is the emergence of (...) non-Euclidean geometry as a new sub-discipline. (shrink)

For thousands of years communication has functioned principally by means of linguistic and iconic messages. In the first case linguistic symbols serve as intermediaries; in the second, images or, more broadly, representations. In order to be transmitted, linguistic and/or iconic symbols need to be re-produced, re-presented, vocally, through writing, painting, sculpture or any other means of re-production. But re-production requires a space that, through use of an appropriate material, serves as its medium; forms to occupy it; rules to control (...) it, and a certain stability. In other words representation is impossible without a certain fixity of the message that alone can ensure its duration, whether short or long being unimportant, but which it needs precisely in order to function as a message. (shrink)

Recently-discovered manuscripts throw new light on Poincaré’s discovery of the Lorentz group, and his ether-based interpretation of the Lorentz transformation. At first, Poincaré postulated longitudinal contraction of bodies in motion with respect to the ether, and ignored time deformation. In April, 1909, he acknowledged temporal deformation due to translation, obtaining thereby a theory of relativity more compatible with those of Einstein and Minkowski.

The law of gravitational attraction is a window on three formal approaches to laws of nature based on Lorentz-invariance: Poincaré’s four-dimensional vector space (1906), Minkowski’s matrix calculus and spacetime geometry (1908), and Sommerfeld’s 4-vector algebra (1910). In virtue of a common appeal to 4-vectors for the characterization of gravitational attraction, these three contributions track the emergence and early development of four-dimensional physics.

Substantivalists claim that spacetime enjoys an existence analogous to that of material bodies, while relationalists seek to reduce spacetime to sets of possible spatiotemporal relations. The resulting debate has been central to the philosophy of space and time since the Scientific Revolution. Recently, many philosophers of physics have turned away from the debate, claiming that it is no longer of any relevance to physics. At the same time, there has been renewed interest in the debate among physicists working on (...) quantum gravity, who claim that the conceptual problems which they face are intimately related to interpretative questions concerning general relativity . My goal is to show that the physicists are correct--there is a close relationship between the interpretative issues of classical and quantum gravity. ;In the first part of the dissertation I challenge the received view that substantivalism has a commanding advantage over relationalism on grounds internal to GR. I argue that this view is based on a misconception of the relationships between realism and substantivalism, and between empiricism and relationalism. This has led to a narrow conception of relationalism. Once this is relinquished it can be seen that none of the standard arguments in favor of substantivalism are cogent. ;In the second part of the dissertation, I consider the way in which considerations arising out of quantum gravity bear upon the substantival-relational debate. I develop a framework in which to discuss the interpretative problems of gauge theories and place GR in this context. From this perspective, I provide a taxonomy of interpretative options, and show how the hole argument arises naturally as a consequence of gauge freedom. This means that certain substantivalist interpretations of GR render the theory indeterministic. In the final chapter, I argue that, far from being a drawback, this presents an opportunity for substantivalists. Examples from quantum mechanics, quantum field theory, and quantum gravity, are used to demonstrate that the ambiguities inherent in quantization can lead to an interpretative interplay between theories. In the case of quantum gravity, this means that substantivalism and relationalism suggest, and are suggested by, distinct approaches to quantizing GR. (shrink)

Say that space is ‘gunky’ if every part of space has a proper part. Traditional theories of gunk, dating back to the work of Whitehead in the early part of last century, modeled space in the Boolean algebra of regular closed subsets of Euclidean space. More recently a complaint was brought against that tradition in Arntzenius and Russell : Lebesgue measure is not even finitely additive over the algebra, and there is no countably additive measure on (...) the algebra. Arntzenius advocated modeling gunk in measure algebras instead—in particular, in the algebra of Borel subsets of Euclidean space, modulo sets of Lebesgue measure zero. But while this algebra carries a natural, countably additive measure, it has some unattractive topological features. In this paper, we show how to construct a model of gunk that has both nice rudimentary measure-theoretic and topological properties. We then show that in modeling gunk in this way we can distinguish between finite dimensions, and that nothing in lost in terms of our ability to identify points as locations in space. (shrink)

The last 30 years has seen the emergence of a self-styled ‘evolutionary’ paradigm within psychology (henceforth, EP). EP is often presented and critiqued as a distinctive, contentious paradigm, to be contrasted with other accounts of human psychology. However, little attention has been paid to the sense in which those other accounts are not also evolutionary. We outline the core commitments of canonical EP. These are, from least distinctive to most: mechanism, interactionism, functionalism, adaptationism, and functional specialization. We argue that the (...) minimal requirement for an approach to psychology to qualify as evolutionary in an important sense is functionalism. This is because the notion of functional design in organismal structures presupposes a history of evolution by natural selection. On this criterion, we argue, most, perhaps all of psychology qualifies as evolutionary, either implicitly or explicitly. We review several approaches that are typically contrasted with EP, showing that these are all evolutionary too by our criteria. We suggest that the EP/non-EP dichotomy be retired. However, though all psychology is evolutionary, psychologists do not always need to foreground evolution in their research, just as is true for biologists. At the same time, more space for evolution does not mean any less space for environment, context, culture, meaning or agency. (shrink)

Arguing that the universe is absolutely directioned and that there exist spatial (directional) relations that Leibniz overlooked, H. Scott Hestevold formulates a new relationalist theory of space, exploring its implications for the Special Composition Question, reductivism regarding boundaries and holes, and the nature of spacetime.

We introduce a linear analogue of Läuchli's semantics for intuitionistic logic. In fact, our result is a strengthening of Läuchli's work to the level of proofs, rather than provability. This is obtained by considering continuous actions of the additive group of integers on a category of topological vector spaces. The semantics, based on functorial polymorphism, consists of dinatural transformations which are equivariant with respect to all such actions. Such dinatural transformations are called uniform. To any sequent in Multiplicative Linear Logic (...) , we associate a vector space of“diadditive” uniform transformations. We then show that this space is generated by denotations of cut-free proofs of the sequent in the theory MLL + MIX. Thus we obtain a full completeness theorem in the sense of Abramsky and Jagadeesan, although our result differs from theirs in the use of dinatural transformations.As corollaries, we show that these dinatural transformations compose, and obtain a conservativity result: diadditive dinatural transformations which are uniform with respect to actions of the additive group of integers are also uniform with respect to the actions of arbitrary cocommutative Hopf algebras. Finally, we discuss several possible extensions of this work to noncommutative logic.It is well known that the intuitionistic version of Läuchli's semantics is a special case of the theory of logical relations, due to Plotkin and Statman. Thus, our work can also be viewed as a first step towards developing a theory of logical relations for linear logic and concurrency. (shrink)

Originating in a 1983 Mexican Government Program, the term ‘food sovereignty’ was coined in 1996 by La Via Campesina—a global peasant network—to address concerns within the civil society for food security. Rather than to accept the neoliberal framework of mainstream food security definition and governance, the food sovereignty movement seeks to view food security as the right of peoples to define their own food and agriculture systems with limited corporation intervention. As a result, food production should be geared toward the (...) domestic and local markets and not toward international trade that only benefits corporations. This food sovereignty movement was inducted into China in 2013 just as China’s agricultural systems were shifting toward a more corporate-centric structure that increasingly exploits the small-scale farmers. A question was hence raised: How have the global civil society networks influenced the Chinese civil society and promoted China’s local food sovereignty movement? Through the world society theory, the author has identified social forums, such as international conferences and social media channels, as an expedient means for interactions. However, as the Chinese government continues to develop a corporate-centric food security governance system and tighten its civil society space, the impacts of China’s food sovereignty movement remain unclear. (shrink)

There is a section in Samuel Delany’s magnificent autobiographical meditation, The Motion of Light in Water, that dramatically raises the problem of writing the history of difference, the history, that is, of the designation of “other,” of the attribution of characteristics that distinguish categories of people from some presumed norm.1 Delany recounts his reaction to his first visit to the St. Marks bathhouse in 1963. He remembers standing on the threshold of a “gym-sized room” dimly lit by blue bulbs. The (...) room was full of people, some standing, the rest an undulating mass of naked, male bodies, spread wall to wall. My first response was a kind of heart-thudding astonishment very close to fear. I have written of a space at certain libidinal saturation before. That was not what frightened me. It was rather that the saturation was not only kinesthetic but visible.2Watching the scene establishes for Delany a “fact that flew in the face” of the prevailing representation of homosexuals in the 1950s as “isolated perverts,” as subjects “gone awry.” The “apprehension of massed bodies” gave him a “sense of political power”:what this experience said was that there was a population—not of individual homosexuals … not of hundreds, not of thousands, but rather of millions of gay men, and that history had, actively and already, created for us whole galleries of institutions, good and bad, to accommodate our sex. [M, p. 174] 2. Samuel R. Delany, The Motion of Light in Water: Sex and Science Fiction Writing in the East Village, 1957-1965 , p. 173; hereafter abbreviated M. Joan W. Scott is professor of social science at the Institute for Advanced Study in Princeton, New Jersey. She is the author, most recently, of Gender and the Politics of History and is currently at work on a history of feminist claims for political rights in France during the period 1789-1945 as a way of exploring arguments about equality and difference. (shrink)