This is a chapter of the planned monograph "Out of Nowhere: The Emergence of Spacetime in Quantum Theories of Gravity", co-authored by Nick Huggett and Christian Wüthrich and under contract with Oxford University Press. (More information at www<dot>beyondspacetime<dot>net.) This chapter introduces causal set theory and identifies and articulates a 'problem of space' in this theory.

Can we design a perfect democratic decision procedure? Condorcet famously observed that majority rule, our paradigmatic democratic procedure, has some desirable properties, but sometimes produces inconsistent outcomes. Revisiting Condorcet’s insights in light of recent work on the aggregation of judgments, I show that there is a conflict between three initially plausible requirements of democracy: “robustness to pluralism”, “basic majoritarianism”, and “collective rationality”. For all but the simplest collective decision problems, no decision procedure meets these three requirements at once; at most (...) two can be met together. This “democratic trilemma” raises the question of which requirement to give up. Since different answers correspond to different views about what matters most in a democracy, the trilemma suggests a map of the “logical space” in which different conceptions of democracy are located. It also sharpens our thinking about other impossibility problems of social choice and how to avoid them, by capturing a core structure many of these problems have in common. More broadly, it raises the idea of “cartography of logical space” in relation to contested political concepts. (shrink)

Research in quantum gravity strongly suggests that our world in not fundamentally spatiotemporal, but that spacetime may only emerge in some sense from a non-spatiotemporal structure, as this paper illustrates in the case of causal set theory and loop quantum gravity. This would raise philosophical concerns regarding the empirical coherence and general adequacy of theories in quantum gravity. If it can be established, however, that spacetime emerges in the appropriate circumstances and how all its relevant aspects are explained in fundamental (...) non-spatiotemporal terms, then the challenge is fully met. It is argued that a form of spacetime functionalism offers the most promising template for this project. (shrink)

In his argument for the possibility of knowledge of spatial objects, in the Transcendental Deduction of the B-version of the Critique of Pure Reason, Kant makes a crucial distinction between space as “form of intuition” and space as “formal intuition.” The traditional interpretation regards the distinction between the two notions as reflecting a distinction between indeterminate space and determinations of space by the understanding, respectively. By contrast, a recent influential reading has argued that the two notions (...) can be fused into one and that space as such is first generated by the understanding through an act of synthesis of the imagination. Against this reading, this article argues that a key characteristic of space as a form of intuition is its nonconceptual unity, which defines the properties of space and is as such necessarily independent of determination by the understanding through the transcendental synthesis of the imagination. The conceptual unity that the understanding prescribes to the manifold in intuition, by means of the categories, defines the formal intuition. Furthermore, this article argues that it is the sui generis, nonconceptual unity of space, when takenas a unity for the understanding by means of conceptual determination, that first enables geometric knowledge and knowledge of spatially located particulars. (shrink)

ZusammenfassungTrotz seiner großen Verbreitung in den Lebenswissenschaften wurde dem Aquarium bisher wenig wissenschafts- und technikhistorische Aufmerksamkeit zuteil. Dies ist nicht zuletzt durch den Umstand begründet, dass das Aquarium und seine Geschichte bisher größtenteils als außerwissenschaftlich aufgefasst wurden. Dabei spielen so unterschiedliche Kontexte wie Akklimatisierung, Amateurnaturkunde und bürgerliche Populärkultur eine wichtige Rolle. Gleichzeitig ist die Entwicklung des Aquariums aber auch eng mit der Geschichte der Lebenswissenschaften verbunden. Mit Blick auf die zweite Hälfte des 19. Jahrhunderts verstehe ich das Aquarium als techno-natural (...) assemblage, in der Technologie, Kultur und Natur zu einem künstlichen Naturraum verbunden sind. Seine Geschichte beginnt in der britischen Amateurnaturkunde und der französischen Akklimatisierungsbewegung. Im Deutschland des späten 19. Jahrhunderts entwickelte sich das Aquarium zu einem Massenphänomen. Gleichzeitig hielt es Einzug in die Lebenswissenschaften, wo es als Einfallstor, Instrument und Umwelt Verwendung fand. Wie sich zeigt, ist das Aquarium eine hochgradig konstruierte Technologie, die sich aus einer Verbindung unterschiedlicher Traditionen herausgebildet und das Leben in die Lebenswissenschaften gebracht hat. (shrink)

Approaches to quantum gravity often involve the disappearance of space and time at the fundamental level. The metaphysical consequences of this disappearance are profound, as is illustrated with David Lewis's analysis of modality. As Lewis's possible worlds are unified by the spatiotemporal relations among their parts, the non-fundamentality of spacetime---if borne out---suggests a serious problem for his analysis: his pluriverse, for all its ontological abundance, does not contain our world. Although the mere existence---as opposed to the fundamentality---of spacetime must (...) be recovered from the fundamental structure in order to guarantee the empirical coherence of the non-spatiotemporal fundamental theory, it does not suffice to salvage Lewis's theory of modality from the charge of rendering our actual world impossible. (shrink)

Much recent philosophical work on social freedom focuses on whether freedom should be understood as non-interference, in the liberal tradition associated with Isaiah Berlin, or as non-domination, in the republican tradition revived by Philip Pettit and Quentin Skinner. We defend a conception of freedom that lies between these two alternatives: freedom as independence. Like republican freedom, it demands the robust absence of relevant constraints on action. Unlike republican, and like liberal freedom, it is not moralized. We show that freedom as (...) independence retains the virtues of its liberal and republican counterparts while shedding their vices. Our aim is to put this conception of freedom more firmly on the map and to offer a novel perspective on the logical space in which different conceptions of freedom are located. (shrink)

Spaces in the brain can refer either to psychological spaces, which are derived from similarity judgments, or to neurocognitive spaces, which are based on the activities of neural structures. We want to show how psychological spaces naturally emerge from the underlying neural spaces by dimension reductions that preserve similarity structures and the relevant categorizations. Some neuronal representational formats that may generate the psychological spaces are presented, compared and discussed in relation to the mathematical principles of monotonicity, continuity and convexity. In (...) particular, we discuss the spatial structures involved in the connections between perception and action, for example eye-hand coordination, and argue that spatial organization of information makes such mappings more efficient. (shrink)

Scientists often think of the world as a dynamical system, a stochastic process, or a generalization of such a system. Prominent examples of systems are the system of planets orbiting the sun or any other classical mechanical system, a hydrogen atom or any other quantum–mechanical system, and the earth’s atmosphere or any other statistical mechanical system. We introduce a general and unified framework for describing such systems and show how it can be used to examine some familiar philosophical questions, including (...) the following: how can we define nomological possibility, necessity, determinism, and indeterminism; what are symmetries and laws; what regularities must a system display to make scientific inference possible; how might principles of parsimony such as Occam’s Razor help when we make such inferences; what is the role of space and time in a system; and might they be emergent features? Our framework is intended to serve as a toolbox for the formal analysis of systems that is applicable in several areas of philosophy. (shrink)

ABSTRACT Unlike the relativity theory it seeks to replace, causal set theory has been interpreted to leave space for a substantive, though perhaps ‘localized’, form of ‘becoming’. The possibility of fundamental becoming is nourished by the fact that the analogue of Stein’s theorem from special relativity does not hold in CST. Despite this, we find that in many ways, the debate concerning becoming parallels the well-rehearsed lines it follows in the domain of relativity. We present, however, some new twists (...) and challenges. In particular, we show that a novel and exotic notion of becoming is compatible with causal sets. In contrast to the localized becoming considered compatible with the dynamics of CST by its advocates, our novel kind of becoming, while not answering to the typical A-theoretic demands, is global and objective. _1_ Introduction _2_ The Basics of Causal Set Theory _3_ Facing the Same Dilemma? _4_ Taking Growth Seriously _5_ Conclusion. (shrink)

This book assesses the ethical implications of using armed unmanned aerial vehicles in contemporary conflicts. The American way of war is trending away from the heroic and towards the post-heroic, driven by a political preference for air-powered management of strategic risks and the reduction of physical risk to US personnel. The recent use of drones in the War on Terror has demonstrated the power of this technology to transcend time and space, but there has been relatively little debate in (...) the United States and elsewhere over the embrace of what might be regarded as politically desirable and yet morally worrisome: risk-free killing. Arguably, the absence of a relationship of mutual risk between putative combatants poses a fundamental challenge to the status of war as something morally distinguishable from other forms of violence, and it also undermines the professional virtue of the warrior as a courageous risk-taker. This book considers the use of armed drones in the light of ethical principles that are intended to guard against unjust increases in the incidence and lethality of armed conflict. The evidence and arguments presented indicate that, in some respects, the use of armed drones is to be welcomed as an ethically superior mode of warfare. Over time, however, their continued and increased use is likely to generate more challenges than solutions, and perhaps do more harm than good. This book will be of much interest to students of the ethics of war, airpower, counter-terrorism, strategic studies and security studies in general. (shrink)

The Humean theory of motivation remains the default position in much of the contemporary literature in meta-ethics, moral psychology, and action theory. Yet despite its widespread support, the theory is implausible as a view about what motivates agents to act. More specifically, my reasons for dissatisfaction with the Humean theory stem from its incompatibility with what I take to be a compelling model of the role of motivating reasons in first-person practical deliberation and third-person action explanations. So after first introducing (...) some assumptions about the nature of agency in section one, I will turn to articulating and defending this account of motivating reasons in sections two through four of the paper. Section five then provides some background on the Humean theory before I argue directly against it in section six and critically examine the leading arguments for the view in section seven. Given limitations of space, however, I save the task of developing a positive anti-Humean view for another occasion. (shrink)

Global capitalism is a transnational “operational space” which is produced by the practices of states, policy- and issue-specific government networks, and private organizations such as transnational corporations, global law firms, and standard-setting agencies. This “operational space,” which I call the transnational constellation, works through and beyond distinct spatial settings, endowing them with a global financial capitalistic logic and limiting the scope of democratic self-determination. In the second section, I analyze political protest against this transnational constellation in terms of (...) democratic theory. I argue that transnational protest and activism have to be appreciated for their reshaping of spaces of the political, for developing and delivering a genuinely global perspective on political problems, and for their politicization of the transnational constellation by revealing and contesting structures and strategies of domination. However,... (shrink)

While a large social-choice-theoretic literature discusses the aggregation of individual judgments into collective ones, there is much less formal work on the transformation of judgments in group communication. I develop a model of judgment transformation and prove a baseline impossibility theorem: Any judgment transformation function satisfying some initially plausible conditions is the identity function, under which no opinion change occurs. I identify escape routes from this impossibility and argue that the kind of group communication envisaged by deliberative democats must be (...) "holistic": It must focus on webs of connected propositions, not on one proposition at a time, which echoes the Duhem-Quine "holism thesis" on scientific theory testing. My approach provides a map of the logical space in which different possible group communication processes are located. (shrink)

The article proposes an interpretation of Kant’s notions of form of, and formal intuition of space to explain and justify the claim that representing space as object requires a synthesis. This involves identifying the transcendental conditions of the analytic unity of consciousness of this formal intuition and distinguishing between it and its content. On this reading which builds upon recent proposals, footnote B160–1n. involves no revision of the Transcendental Aesthetic: space is essentially characterized by non-conceptual features. The (...) article also addresses worries about the infinite magnitude and the unicity of space, by considering the characteristics and requirements of geometric constructions. (shrink)

The present volume collects essays on the philosophical foundations of quantum theories of gravity, such as loop quantum gravity and string theory. Central for philosophical concerns is quantum gravity's suggestion that space and time, or spacetime, may not exist fundamentally, but instead be a derivative entity emerging from non-spatiotemporal degrees of freedom. In the spirit of naturalised metaphysics, contributions to this volume consider the philosophical implications of this suggestion. In turn, philosophical methods and insights are brought to bear on (...) the foundations of quantum gravity itself. For instance, the idea of functionalism, borrowed from the philosophy of mind and discussed by several essays, exemplifies this mutual interaction the collection seeks to foster. (shrink)

Unlike the relativity theory it seeks to replace, causal set theory has been interpreted to leave space for a substantive, though perhaps ‘localized’, form of ‘becoming’. The possibility of fundamental becoming is nourished by the fact that the analogue of Stein’s theorem from special relativity does not hold in causal set theory. Despite this, we find that in many ways, the debate concerning becoming parallels the well-rehearsed lines it follows in the domain of relativity. We present, however, some new (...) twists and challenges. In particular, we show that a novel and exotic notion of becoming is compatible with causal sets. In contrast to the ‘localized’ becoming considered compatible with the dynamics of causal set theory by its advocates, our novel kind of becoming, while not answering to the typical A-theoretic demands, is ‘global’ and objective. (shrink)

Drawing on Connell's notion of gender projects, the authors assess the degree to which contemporary evangelical ideals of men's headship challenge, as well as reinforce, a hegemonic masculinity. Based on 265 in-depth interviews in 23 states across the country, they find that rather than espousing a traditional gender hierarchy in which women are simply subordinate to men, the majority of contemporary evangelicals hold to symbolic traditionalism and pragmatic egalitarianism. Symbolic male headship provides an ideological tool with which individual evangelicals may (...) maintain a sense of distinctiveness from the broader culture of which they are a part. At the same time, symbolic headship blunts some of the harsher effects of living in a materially rich, but time poor, culture, by defusing an area of potential conflict, creating a safe space within which men can negotiate, and strengthening men's material and emotional ties to their families. (shrink)

This collection moves from COVID to Kairos, engaged with the legacy of Paul Tillich. Liminal spaces reflect ambiguous transitional moments in human consciousness and culture. In early 2020, cultures and states turned inward for protection, exacerbating intertwined health, political, racial justice, and economic crises. Tillich would have understood these overlapping challenges to be heralding a kairotic moment, reflecting simultaneous crises and opportunities. The collected essays reflect on the intersections of COVID and Kairos. Authors engage numerous ethical challenges precipitated by the (...) current Kairos moment, thinking through and with Tillich. Other essays offer reflections on our cultural moment, engaging topics from public health to video games to hate speech. Reflecting on the cultural moment, this collection offers unique insight into the Tillichian legacy for the present and future. (shrink)

Christian Leduc | : Dans le présent article, je montre que Maupertuis et Euler proposent une conception contrastée de la métaphysique de la nature. Il s’agit principalement pour eux de repositionner la cosmologie par rapport aux sciences de la nature. Au lieu de considérer la métaphysique comme étant au fondement des théories scientifiques, comme le supposent Descartes, Wolff et, d’une certaine manière, Kant, ou simplement d’interdire l’idée même d’une cosmologie, comme le stipulerait à la même époque d’Alembert, Maupertuis et Euler, (...) renversent l’ordre des disciplines pour donner aux sciences physiques une primauté sur la métaphysique. Ce repositionnement entraîne évidemment plusieurs questions : d’abord, de quelle manière les théories scientifiques peuvent-elles valider ou infirmer un principe métaphysique? Plus important encore, quel rôle incombe à la métaphysique de la nature, étant donné que les sciences possèdent non seulement une autonomie théorique, mais même une priorité sur les réflexions ontologiques. Il semblerait d’ailleurs que la métaphysique se réduise, pour ces deux philosophes, au seul domaine du cosmologique, en particulier aux questions qui concernent la force et le principe de moindre action, au statut ontologique de l’espace et du temps et aux déterminations de la matière que sont l’étendue, l’inertie, l’impénétrabilité et le mouvement. | : In this paper, I show that Maupertuis and Euler offer a contrasting conception of metaphysics of nature. It consists mainly for them in repositioning cosmology in relation to natural sciences. Instead of considering metaphysics to be at the foundation of scientific theories, as was assumed by Descartes, Wolff, and, in a certain way, Kant, or simply prohibiting the very idea of a cosmology, as d’Alembert would stipulate at the same period, Maupertuis and Euler invert the order of disciplines to give priority to physical sciences over metaphysics. This repositioning leads of course to several questions : first, how does scientific theories validate or deny metaphysical principles? Even more important, which role falls to metaphysics of nature given that sciences not only possess a theoretical autonomy, but also a priority over ontological reflections? Besides, it seems that metaphysics would be reduced, for these two philosophers, to the realm of cosmology alone, in particular to questions concerning force and the principle of least action, the ontological status of space and time, and the first constituents of matter, such as extension, inertia, impenetrability, and motion. (shrink)

Condorcet’s voting paradox shows that pairwise majority voting may lead to cyclical majority preferences. In a famous paper, Sen identified a general condition on a profile of individual preference orderings, called triplewise value-restriction, which is sufficient for the avoidance of such cycles. This note aims to make Sen’s result easily accessible. We provide an elementary proof of Sen's possibility theorem and a simple reformulation of Sen’s condition. We discuss how Sen’s condition is logically related to a number of precursors. Finally, (...) we state a necessary and sufficient condition for the avoidance of cycles, and suggest that, although there is still some logical space between that condition and Sen’s sufficient condition, Sen’s condition cannot be further generalized in an appealing way. (shrink)

This paper engages with Kant‘s account of space as a continuum. The stage is set by looking at how the question of spatial continuity comes up in a debate from the 1920s between Ernst Cassirer and logical empiricist thinkers about Kant‘s conception of spatial representation as a pure intuition. While granting that concrete features of space can only be known empirically, Cassirer attempted to save Kant‘s conception by restricting it to the core commitment of space as a (...) continuous coexistent manifold. Cassirer did not however come up with a transcendental argument for spatial continuity. The paper presents such an argument by providing a reading of Kant‘s from which it transpires that Kant does not simply rely on supposed into the continuity of space. It is by way ofinstead that we can know space to be continuous and Kant’s distinction between intuitions and concepts does hinge on such knowledge. (shrink)

Reinforcement learning approaches to cognitive modeling represent task acquisition as learning to choose the sequence of steps that accomplishes the task while maximizing a reward. However, an apparently unrecognized problem for modelers is choosing when, what, and how much to reward; that is, when (the moment: end of trial, subtask, or some other interval of task performance), what (the objective function: e.g., performance time or performance accuracy), and how much (the magnitude: with binary, categorical, or continuous values). In this article, (...) we explore the problem space of these three parameters in the context of a task whose completion entails some combination of 36 state–action pairs, where all intermediate states (i.e., after the initial state and prior to the end state) represent progressive but partial completion of the task. Different choices produce profoundly different learning paths and outcomes, with the strongest effect for moment. Unfortunately, there is little discussion in the literature of the effect of such choices. This absence is disappointing, as the choice of when, what, and how much needs to be made by a modeler for every learning model. (shrink)

Christian Waldvogel's work in conceptual and visual art is about the Earth within the solar system and mankind within its world and new imaginations. Waldvogel uses mainly photography, various means of digital image-generation and processing and moving i.

The shift of interest from community to individuality and freedom brought by modernity challenged the central place once occupied by religion, pushing it to the outskirts of human life. All these led to an increased indifference towards any transcendental guarantor that could act in a neutral reason-governed space. In the case of Islam, such a situation is impossible to tolerate, because it would mean God’s desecration by reducing the Qur’an to the statute of a simple book like many others (...) that offer an opinion on a Supreme Being who does not decide the destiny of humanity any more, but becomes a simple matter of opinion. While Western Christianity adjusted to modernity reaching even to justify the developments which led to a dissolution of sacred, stating that they were consistent with its essence, Islam accepted modernity only to the extent of this one’s capacity to verify the realities stated by the Qur’an. (shrink)

Zusammenfassung Die Sportgeographie als ein noch sehr junges Teilgebiet der Sportwissenschaft und der Geographie begann sich erst vor circa vier Jahrzehnten zu entfalten. Abgesehen von einigen Vorläufern nahm die Sportgeographie ihren eigentlichen Anfang in den 1970er und insbesondere in den 1980er Jahren. Für den internationalen Aufschwung sorgten seitdem vor allem Wissenschafder des englischsprachigen Kulturraumes, wo sich die Sportgeographie im Laufe der 1990er Jahre in der Vielzahl der so genannten Bindestrich-Wissenschaften etablierte. In der deutschsprachigen Geographie und Sportwissenschaft hingegen ist dieser Etablierungsprozess (...) soweit noch nicht vorangeschritten, wenngleich auch hier erste Schritte einer Institutionalisierung unternommen wurden. (shrink)

A journey surveying the land of space, time and motion Content Type Journal Article Category Book Review Pages 1-4 DOI 10.1007/s11016-011-9575-8 Authors Christian Wüthrich, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0119, USA Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

This article argues that theological pacifism is best evaluated when situated in a network of practices, beliefs and biblical reading strategies that support a critique of Empire, and when mapped onto this world open up a space for living that is non-territorial and non-sacrificial, the grammar of which is governed by a political understanding of love.

We investigate extensions of S. Solecki's theorem on closing off finite partial isometries of metric spaces [11] and obtain the following exact equivalence: any action of a discrete group Γ by isometries of a metric space is finitely approximable if and only if any product of finitely generated subgroups of Γ is closed in the profinite topology on Γ.

Given a finitely generated group Γ, we study the space Isom(Γ, ℚ������) of all actions of Γ by isometries of the rational Urysohn metric space ℚ������, where Isom(Γ, ℚ������) is equipped with the topology it inherits seen as a closed subset of Isom(ℚ������) Γ . When Γ is the free group ������ n on n generators this space is just Isom(ℚ������) n , but is in general significantly more complicated. We prove that when Γ is finitely generated (...) Abelian there is a generic point in Isom(Γ, ℚ������), i.e., there is a comeagre set of mutually conjugate isometric actions of Γ on ℚ������. (shrink)

When a proposition might be the case, for all an agent knows, we can say that the proposition is epistemically possible for the agent. In the standard possible worlds framework, we analyze modal claims using quantification over possible worlds. It is natural to expect that something similar can be done for modal claims involving epistemic possibility. The main aim of this paper is to investigate the prospects of constructing a space of worlds—epistemic space—that allows us to model what (...) is epistemically possible for ordinary, non-ideally rational agents like you and me. I will argue that the prospects look dim for successfully constructing such a space. In turn, this will make a case for the claim that we cannot use the standard possible worlds framework to model what is epistemically possible for ordinary agents. (shrink)

In a recent paper Griffiths [38] has argued, based on the consistent histories interpretation, that Hilbert space quantum mechanics is noncontextual. According to Griffiths the problem of contextuality disappears if the apparatus is “designed and operated by a competent experimentalist” and we accept the Single Framework Rule. We will argue from a representational realist stance that the conclusion is incorrect due to the misleading understanding provided by Griffiths to the meaning of quantum contextuality and its relation to physical reality (...) and measurements. We will discuss how the quite general incomprehension of contextuality has its origin in the ''objective-subjective omelette'' created by Heisenberg and Bohr. We will argue that in order to unscramble the omelette we need to disentangle, firstly, representational realism from naive realism, secondly, ontology from epistemology, and thirdly, the different interpretational problems of QM. In this respect, we will analyze what should be considered as Meaningful Physical Statements within a theory and will argue that Counterfactual Reasoning -considered by Griffiths as ''tricky''- must be accepted as a necessary condition for any representational realist interpretation of QM. Finally we discuss what should be considered as a problem in QM from a representational realist perspective. (shrink)

This article analyzes the angular spacing of the degree marks on the zodiac scale of the Antikythera mechanism and demonstrates that over the entire preserved 88° of the zodiac, the marks are systematically placed too close together to be consistent with a uniform distribution over 360°. Thus, in some other part of the zodiac scale (not preserved), the degree marks have been spaced farther apart. By contrast, the day marks on the Egyptian calendar scale are spaced uniformly, apart from minor (...) errors. A solar equation of center is apparent which rises by nearly 2.7° over the preserved portion of the zodiac. The placement of the degree marks indicates that, in the preserved portion of the zodiac, the Sun was considered to run at a uniform pace of about 30° per synodic month, which is consistent with the Sun’s speed in the fast zone of the Babylonian solar theory of System A. (shrink)

Families of Borel equivalence relations and quasiorders that are cofinal with respect to the Borel reducibility ordering, ≤B, are constructed. There is an analytic ideal on ω generating a complete analytic equivalence relation and any Borel equivalence relation reduces to one generated by a Borel ideal. Several Borel equivalence relations, among them Lipschitz isomorphism of compact metric spaces, are shown to be Kσ complete.

C’est dans la dynamique de l’avènement du Royaume et de la manifestation de l’Esprit Saint qui l’accompagne qu’il convient de comprendre l’attitude de Jésus à l’endroit de l’impureté et sa relative indifférence à ce qui touche à la loi rituelle. Là où se manifeste la radicale nouveauté que représente l’irruption du Royaume, émerge une nouvelle compréhension tant de l’espace que de la responsabilité humaine. La sainteté vient envahir la sphère profane ; elle désenclave l’espace, ce qui modifie radicalement le rapport (...) à l’impureté. De cette prise de possession gracieuse de l’espace par la sainteté, résulte, en retour, une exigence éthique. Jesus’ attitude towards impurity and his relative indifference concerning the ritual law are to be understood in the context of the dynamics of the coming Kingdom and of the manifestation of the Holy Spirit. Wherever the radical newness of the imminent Kingdom comes to light, one can see a new understanding both of space and of human responsibility. Holiness invades the secular sphere and opens up space, which brings about a radical change in the attitude towards impurity. In return, this gracious occupation of space by holiness results in high ethical standards. (shrink)

In a possible world framework, an agent can be said to know a proposition just in case the proposition is true at all worlds that are epistemically possible for the agent. Roughly, a world is epistemically possible for an agent just in case the world is not ruled out by anything the agent knows. If a proposition is true at some epistemically possible world for an agent, the proposition is epistemically possible for the agent. If a proposition is true at (...) all epistemically possible worlds for an agent, the proposition is epistemically necessary for the agent, and as such, the agent knows the proposition. -/- This framework presupposes an underlying space of worlds that we can call epistemic space. Traditionally, worlds in epistemic space are identified with possible worlds, where possible worlds are the kinds of entities that at least verify all logical truths. If so, given that epistemic space consists solely of possible worlds, it follows that any world that may remain epistemically possible for an agent verifies all logical truths. As a result, all logical truths are epistemically necessary for any agent, and the corresponding framework only allows us to model logically omniscient agents. This is a well-known consequence of the standard possible world framework, and it is generally taken to imply that the framework cannot be used to model non-ideal agents that fall short of logical omniscience. -/- A familiar attempt to model non-ideal agents within a broadly world involving framework centers around the use of impossible worlds where the truths of logic can be false. As we shall see, if we admit impossible worlds where “anything goes” in epistemic space, it is easy to avoid logical omniscience. If any logical falsehood is true at some impossible world, then any logical falsehood may remain epistemically possible for some agent. As a result, we can use an impossible world involving framework to model extremely non-ideal agents that do not know any logical truths. -/- A much harder, and considerably less investigated challenge is to ensure that the resulting epistemic space can also be used to model moderately ideal agents that are not logically omniscient but nevertheless logically competent. Intuitively, while such agents may fail to rule out impossible worlds that verify complex logical falsehoods, they are nevertheless able to rule out impossible worlds that verify obvious logical falsehoods. To model such agents, we need a construction of a non-trivial epistemic space that partly consists of impossible worlds where not "anything goes". This involves imposing substantive constraints on impossible worlds to eliminate from epistemic space, say, trivially impossible worlds that verify obvious logical falsehoods. -/- The central aim of this dissertation is to investigate the nature of such non-trivially impossible worlds and the corresponding epistemic spaces. To flag my conclusions, I argue that successful constructions of epistemic spaces that can safely navigate between the Charybdis of logical omniscience and the Scylla of of “anything goes” are hard, if not impossible to find. (shrink)

People often solve spatially presented cognitive problems more easily than their nonspatial counterparts. We explain this phenomenon by characterizing space as an inter-modality that provides common structure to different specific perceptual modalities. The usefulness of spatial structure for knowledge processing on different levels of granularity and for interaction between internal and external processes is described. Map representations are discussed as examples in which the usefulness of spatially organized symbols is particularly evident. External representations and processes can enhance internal representations (...) and processes effectively when the same structures and principles can be implicitly assumed. (shrink)

The Contemporary Artist and the Consciousness of His/Her Era. We examine the changed conditions under which artists accomplish their work, and the consciousness they now have of their work, and of the forms which it takes. If the ideal of a revolutionary consciousness is no longer part of the artistic agenda, this does not necessarily imply that artists have abandoned the aim of opening up the reality of the current moment to a space where the intimation of something other (...) is preserved. (shrink)

This article introduces some soft computing methods generally used for data analysis and flow pattern detection in fluid dynamics. These techniques decompose the original flow field as an expansion of modes, which can be either orthogonal in time, or in space or in time and space, or they can simply be selected using some sophisticated statistical techniques. The performance of these methods is tested in the turbulent wake of a wall-mounted square cylinder. This highly complex flow is suitable (...) to show the ability of the aforementioned methods to reduce the degrees of freedom of the original data by only retaining the large scales in the flow. The main result is a reduced-order model of the original flow case, based on a low number of modes. A deep discussion is carried out about how to choose the most computationally efficient method to obtain suitable reduced-order models of the flow. The techniques introduced in this article are data-driven methods that could be applied to model any type of non-linear dynamical system, including numerical and experimental databases. (shrink)

Aquantum logic (σ-orthocomplete orthomodular poset L with a convex, unital, and separating set Δ of states) is said to have theexistence property if the expectation functionals onlin(Δ) associated with the bounded observables of L form a vector space. Classical quantum logics as well as the Hilbert space logics of traditional quantum mechanics have this property. We show that, if a quantum logic satisfies certain conditions in addition to having property E, then the number of its blocks (maximal classical (...) subsystems) must either be one (classical logics) or uncountable (as in Hilbert space logics). (shrink)

Mass media can represent and help to recompose European spaces. The aim of the current article is to ascertain whether the journalistic representation of space within a European cross-border region is related to the economy driven functional integration favored by the EU’s new regionalism policies. Based on a content analysis of two interconnected newspapers located in the trans-frontier area centered around the Luxembourg economy, the objective is to explore the spatial arrangements orienting the mediatization of cross-border regionalization. The results (...) show that new regionalism—meaning the definition of a de-bordered and urban regional unit based on economic competitive advantages—is not necessarily the most important geographical set of ideas leading to the production of images in a trans-frontier and European region. Each of the chosen newspapers has developed a cross-border agenda assigning specific values to state borders and places within this regional and functional setting. (shrink)

In this paper, I show that Maupertuis and Euler offer a contrasting conception of metaphysics of nature. It consists mainly for them in repositioning cosmology in relation to natural sciences. Instead of considering metaphysics to be at the foundation of scientific theories, as was assumed by Descartes, Wolff, and, in a certain way, Kant, or simply prohibiting the very idea of a cosmology, as d’Alembert would stipulate at the same period, Maupertuis and Euler invert the order of disciplines to give (...) priority to physical sciences over metaphysics. This repositioning leads of course to several questions : first, how does scientific theories validate or deny metaphysical principles? Even more important, which role falls to metaphysics of nature given that sciences not only possess a theoretical autonomy, but also a priority over ontological reflections? Besides, it seems that metaphysics would be reduced, for these two philosophers, to the realm of cosmology alone, in particular to questions concerning force and the principle of least action, the ontological status of space and time, and the first constituents of matter, such as extension, inertia, impenetrability, and motion. (shrink)

Nagarjuna and Quantum physics. Eastern and Western Modes of Thought. Summary. The key terms. 1. Key term: ‘Emptiness’. The Indian philosopher Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing (...) can be found, that there is nothing, that nothing exists? Was Nagarjuna denying the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. Reality is without foundation. Or: Reality has the wide open space as foundation. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realised that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalisation. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalisation might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. -/-. (shrink)

Procuraremos pensar com esse trabalho a especificidade da performance docente de Gilles Deleuze. Tomando como vetor relatos esparsos acerca de suas aulas, abordaremos a concepção de ensino de filosofia forjada pelo filósofo francês ao longo do exercício de sua atividade docente. Deleuze, em suas aulas, optava por seguir uma linha pedagógica muito distante daquela consagrada pelas academias, adotando como aporte privilegiado para expressar o seu pensamento – bem como o de outros filósofos – o espaço literário ao invés da história (...) da filosofia. Visando acentuar a especificidade do trabalho professoral de Deleuze, propomos contrapor sua postura docente com a de outro importante filósofo, Immanuel Kant. Tal comparação demonstra-se possível uma vez que o tema sobre a impossibilidade de ensinar ou aprender o filosofar é algo em comum a ambos os pensadores, embora sejam filósofos que se encontram em campos de pensamento distintos. Apesar da distância, ambos os pensadores concordam que o filosofar não é algo da ordem da imitação, mas sim da criação. O intuito com tal trabalho de pensamento será o de sugerir algumas problematizações para se pensar o tópico ensino de filosofia.: With this work, we seek think the specificity of the teaching performance of Gilles Deleuze. Taking as vector scattered reports of their classes, we discuss the philosophy of teaching concept forged by the French philosopher during the year of his educational activity. Deleuze, in his classes, chose to follow a very distant pedagogical line that consecrated by the academies, adopting as privileged contribution to express his thoughts - as well as other philosophers - the literary space instead of the history of philosophy for example. In order to emphasize the specificity of professorial work of Deleuze, we propose counteract his teaching position with another important philosopher, Immanuel Kant. This comparison shows is possible since the theme of the impossibility of teaching or learning the philosophy is something common to both thinkers, although they are philosophers who are in different fields of thought. Despite the distance, both thinkers agree that philosophy is not something of the order of imitation, but of creation. The aim with this work of thought will be to suggest some problematizations to think about the topic of teaching philosophy. Keywords: Gilles Deleuze. Afeccion. Performativity. Teaching Philosophy. Literary Space. (shrink)

"Die Ablehnung der Mimesis, verstanden als ein Anspruch von Darstellungen auf Naturnachahmung, ist ein charakteristischer Grundzug moderner Ästhetik und Erkenntnistheorie seit dem Ende des 19. Jahrhunderts. Parallel dazu existieren zeitgleich im Raum wissensbildender Institutionen wie den Naturkundemuseen Dispositive, etwa die Habitat-Dioramen, die das traditionell mimetische Ideal auf kreative Weise aufrechterhalten. Diese vermeintlich anachronistischen Dispositive werden hinsichtlich ihrer mimesisproduktiven Dimensionen medienphilosophisch reflektiert und zu Adornos Mimesisverständnis ins Verhältnis gesetzt. The rejection of mimesis, understood as a depiction’s claim on imitation of nature, (...) has been a characteristic feature of modern aesthetics and epistemology since the end of the 19th century. At the same time, there are also dispositives, such as habitat dioramas, which creatively maintain the traditionally mimetic ideal in the space of knowledge-building institutions such as museums of natural science. These supposedly anachronistic dispositions are reflected in media-philosophical terms with regard to their dimensions of mimesis production and are related to Adorno’s understanding of mimesis. ". (shrink)

Le développement de l'individualisme et les orientations actuelles du design des technologies de l'information et de la communication se combinent pour ancrer réflexivement un modèle de l'action fondé sur le modèle de la distribution. L'acteur délègue une partie des choix de plus en plus nombreux qui lui incombent à son environnement artefactuel. Dans le champ de la communication interpersonnelle, ceci se traduit par le développement d'une gestion relationnelle basée sur la « présence connectée ». Dans le domaine des communautés épistémiques (...) de type OpenSource, les individus se mobilisent souvent sur un mode de réactivité immédiate plus que par délibération individuelle. La question se pose alors du statut moral et de la possibilité d'analyser de manière indépendante un collectif et un espace public d'individus hyper-connectés, organisés, outillés et adaptés plus pour réagir rapidement que réfléchir longuement.Development of individualism and the current guidelines for the design of information technology and communications combine to anchor a model of reflexive action based on the model of the distribution. The actor delegates some choices more numerous its obligations to its environment artifactual. In the field of interpersonal communication, this translates into the development of a relationship management based on "connected presence". In the field of epistemic communities like OpenSource, individuals often involve a more immediate response mode by individual deliberation. The question then arises the moral status and the ability to analyze independently a collective and public space of hyper-connected individuals, organized, equipped and adapted to respond more quickly than think long. (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)