Given a finite lexicon L of relational symbols and equality, one may view the collection of all L-structures on the set of natural numbers ω as a space in several different ways. We consider it as: (i) the space of outcomes of certain infinite two-person games; (ii) a compact metric space; and (iii) a probability measure space. For each of these viewpoints, we can give a notion of relative ubiquity, or largeness, for invariant sets of structures on (...) ω. For example, in every sense of relative ubiquity considered here, the set of dense linear orderings on ω is ubiquitous in the set of linear orderings on ω. (shrink)

The choice to undertake a PhD is essentially the choice of an individual to complete an individual task that carries the name of the researcher as the cognitive authority and reinforces the place of their respective University within the western academy, with all of the structure of power and authority that comes along with that. But what happens when the research itself takes place in an intercultural space, and the rules and values of the academic space stand in contrast to (...) the rules and values of the cultural space that is being inhabited? How does a PhD student fulfill their contract with the University while still embarking on morally responsible work with the research participants that has at its core existing relationships and a collective concern? How might an exploration of these issues open a window to new ways of doing research in culturally complex spaces? This article explores how one non-Indigenous PhD candidate working in an intercultural space with Indigenous research participants is unpac.. (shrink)

The aim of this paper is to elucidate the relationship between Aristotelian conceptual oppositions, commutative diagrams of relational structures, and Galois connections.This is done by investigating in detail some examples of Aristotelian conceptual oppositions arising from topological spaces and similarity structures. The main technical device for this endeavor is the notion of Galois connections of order structures.

This paper adopts a relational, also known as a topological, approach to food accessibility—the idea that food spaces are best understood as relational becomings rather than as voids filled exclusively with mass and address. It is animated by an experimental spirit, in terms of the methods employed, the data collected, and by how those data are brought together, which together better enriches inductive theorizing. The project looks at the daily macro-mobilities—trips from one GPS coordinate to another—of 70 (...) Coloradoans, triangulated with qualitative semi-structured interview data. Data collection occurred over three phases: baseline interviews, which lasted approximately 45 min; 30-day study period, which involved using a GPS tracking app. on their mobile phones; and follow-up interviews that lasted roughly two hours. The paper, through inductive theorizing and methodological experimentation, contributes to the critical food mapping scholarship in three ways: first, by looking at rural and urban food environments and livelihoods ; second, by focusing on mobilities as opposed to fixities ; and, lastly, by its conceptual innovations attributed to phenomena such as life course and geographies of care. (shrink)

In La Métaphore Vive, spatial understandings pervade much of Ricoeur’s discussion of metaphor in terms of proximity and distance, tension, substitution, displacement, change of location, image, the ‘open’ structure of words, closure, transparency and opaqueness. Yet this is usually where space is discussed within metaphor, and as a metaphor itself, rather than as a precondition or prior system of relations to language interacting with language. Based on reinterpretation of an aspect of Lévi-Strauss’ structuralist anthropology, diametric and concentric spaces are (...) argued to be such a prior system of relations to language, actively framing metaphor. This article examines the relevance of this prelinguistic spatial discourse to Ricoeur’s framework of metaphor and interrogation of the copula, influenced centrally by Heidegger. Concentric spatial assumed connection and diametric spatial assumed separation offer a framework for understanding, in Ricoeur’s words, the “conflict between identity and difference” in metaphor and early Heidegger’s existential spatiality. (shrink)

Pain is often used as the paradigmatic example of a phenomenal kind with a phenomenal quality common and unique to its instantiations. Philosophers have intensely discussed the relation between the subjective feeling, which unites pains and distinguishes them from other experiences, and the phenomenal properties of sensory, affective, and evaluative character along which pains typically vary. At the center of this discussion is the question whether the phenomenal properties prove necessary and/or sufficient for pain. In the empirical literature, sensory, affective, (...) and evaluative properties have played a decisive role in the investigation of psychophysical correspondence and clinical diagnostics. This paper addresses the outlined philosophical and empirical issues from a new perspective by constructing amultidimensional phenomenal spacefor pain. First, the paper will construe the phenomenal properties of pains in terms of a property space whosestructurereflects phenomenal similarities and dissimilarities by means of spatial distance. Second, philosophical debates on necessary and sufficient properties are reconsidered in terms of whether there is a phenomenal space formed of dimensions along which all and only pains vary. It is concluded that there is no space of this kind and, thus, that pain constitutes aprimitivephenomenal kind that cannot be analyzed entirely in terms of its varying phenomenal properties. Third, the paper addresses theutilityof continued reference to pain and its phenomenal properties in philosophical and scientific discourses. It is argued that numerous insights into the phenomenal structure of pain can be gained that have thus far received insufficient attention. (shrink)

This chapter offers an indirect defence of the Evansian conception of egocentric space, by showing how it resolves a puzzle concerning the unity of egocentric spatial perception. The chapter outlines several common assumptions about egocentric perspectival structure and argues that a subject’s experience, both within and across her sensory modalities, may involve multiple structures of this kind. This raises the question of how perspectival unity is achieved, such that these perspectival structures form a complex whole, rather than merely (...) disunified set of individually, distinctively structured experiences. The shortcomings of variety of accounts are considered: switch accounts ; sensory accounts; transformation accounts; and ultimate accounts. These shortcomings are addressed by a further kind of account provided by the Evansian conception – an agentive account – according to which egocentrically structured experiences present the world in relation to parts of a single thing, the body as a dynamic unity. (shrink)

When entering an environment, animals – including humans – tend to consult their memories to determine what they know about the place. This information is useful to determine: is this place safe? And what happens next? In this chapter, we argue on both empirical and conceptual grounds that memory is largely organized by space. Spatial relations determine what is recalled and which experiences are combined in generalizations. Time does not play an analogous role. We show that space and time in (...) memory are thus deeply asymmetrical. We conclude with a consequence of our view: spatial organization entails a basic form of abstraction in a way temporal organization does not, and so the spatial organization of memory reveals that memory involves generalization from the very beginning. (shrink)

Pain is often used as the paradigmatic example of a phenomenal kind with a phenomenal quality common and unique to its instantiations. Philosophers have intensely discussed the relation between the subjective feeling, which unites pains and distinguishes them from other experiences, and the phenomenal properties of sensory, affective, and evaluative character along which pains typically vary. At the center of this discussion is the question whether the phenomenal properties prove necessary and/or sufficient for pain. In the empirical literature, sensory, affective, (...) and evaluative properties have played a decisive role in the investigation of psychophysical correspondence and clinical diagnostics. This paper addresses the outlined philosophical and empirical issues from a new perspective by constructing a multidimensional phenomenal space for pain. First, the paper will construe the phenomenal properties of pains in terms of a property space whose structure reflects phenomenal similarities and dissimilarities by means of spatial distance. Second, philosophical debates on necessary and sufficient properties are reconsidered in terms of whether there is a phenomenal space formed of dimensions along which all and only pains vary. It is concluded that there is no space of this kind and, thus, that pain constitutes a primitive phenomenal kind that cannot be analyzed entirely in terms of its varying phenomenal properties. Third, the paper addresses the utility of continued reference to pain and its phenomenal properties in philosophical and scientific discourses. It is argued that numerous insights into the phenomenal structure of pain can be gained that have thus far received insufficient attention. (shrink)

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)

I explain in what sense the structure of space and time is probably vague or indefinite, a notion I define. This leads to the mathematical representation of location in space and time by a vague interval. From this, a principle of complementary inaccuracy between spatial location and velocity is derived, and its relation to the Uncertainty Principle discussed. In addition, even if the laws of nature are deterministic, the behaviour of systems will be random to some degree. These and other (...) considerations draw classical physics closer to Quantum Mechanics. An arrow of entropy is also derived, given an arrow of time. Lastly, chaos is given an additional, objective meaning. (shrink)

In this article, three descriptive models are described and compared in an attempt to discover the minimum number of concepts and relations necessary to an abstract description of social structure. It is argued that a "situational model" which uses the concepts of social time, social space and social role together with the relations of internal structure and external distribution is both adequate to the task and superior to the two other models. The advantages and implications of the situational model are (...) discussed. (shrink)

We consider the complexity of the isomorphism relation on countable first-order structures with transitive automorphism groups. We use the theory of Borel reducibility of equivalence relations to show that the isomorphism problem for vertex-transitive graphs is as complicated as the isomorphism problem for arbitrary graphs and determine for which first-order languages the isomorphism problem for transitive countable structures is as complicated as it is for arbitrary countable structures. We then use these results to characterize the complexity of (...) the isometry relation for certain classes of homogeneous and ultrahomogeneous metric spaces. (shrink)

This study aims to present culturally situated artefacts as depicted in nursing home environments and to analyse the underlying understandings of disciplining structures that are manifested in these kinds of places. Our personal geographies are often taken for granted, but when moving to a nursing home, geographies are glaringly rearranged. The study design is archival and cross‐sectional observational, and the data are comprised of 38 photographs and 13 videos showing environments from nursing homes. The analysis was inspired by the (...) methodological steps in Roper's and Shapira's description of conducting ethnography. The results are presented in four categories: (i) public areas, (ii) orderliness, (iii) staff's places and (iv) devices. The rearrangement of geography implies a degrading of agency and loss of authority over one's place. The places should be understood in their relation to the agents and their temporarily claims upon them. The material and immaterial artefacts, that is the items, people and behaviours, transform the nursing staff into ‘space invaders’. Future inquiries may take into consideration the ways that space invasion in participative space intersect and construct the identities of the agents it invades upon. (shrink)

Although knowledge is a central topic for MKM there is little explicit discussion on what ‘knowledge’ might actually be. There are specific intuitions about form and content of knowledge, about its structure, and epistemological nature that shape the MKM systems, but a conceptual model is missing. In this paper we try to rationalize this discussion to give MKM a firmer footing, to start a discussion among MKM researchers and help relate the MKM intuitions and discourses to other communities. Starting from (...) the observation that many concrete realizations of mathematical knowledge objects are considered equivalent, we propose a conceptual model of the space of (mathematical) knowledge objects graded by levels of abstraction and presentational explicitness and draw conclusions for MKM markup formats. (shrink)

Computable model theory, also called effective or recursive model theory, studies algorithmic properties of mathematical structures, their relations, and isomorphisms. These properties can be described syntactically or semantically. One of the major tasks of computable model theory is to obtain, whenever possible, computability-theoretic versions of various classical model-theoretic notions and results. For example, in the 1950's, Fröhlich and Shepherdson realized that the concept of a computable function can make van der Waerden's intuitive notion of an explicit field precise. This (...) led to the notion of a computable structure. In 1960, Rabin proved that every computable field has a computable algebraic closure. However, not every classical result “effectivizes”. Unlike Vaught's theorem that no complete theory has exactly two nonisomorphic countable models, Millar's and Kudaibergenov's result establishes that there is a complete decidable theory that has exactly two nonisomorphic countable models with computable elementary diagrams. In the 1970's, Metakides and Nerode [58], [59] and Remmel [71], [72], [73] used more advanced methods of computability theory to investigate algorithmic properties of fields, vector spaces, and other mathematical structures. (shrink)

In this paper I argue that a reimagining of the notion of silence as more than a sonic phenomenon is needed to address the dominant structural apparati of Western discourse. Silence as an existential medium is where the Foucauldian apparatuses that power the status-quo of the world operate. They forge connections between things like ideology and social organization where one falls into the wake of the other and is shaped in a way that is nearly invisible to the passing glance. (...) It is the indeterminacy within silence as explored by John Cage that that allows this to happen, but it also offers the potential to have an active role in the shaping of these apparatuses toward a more beneficial and culturally aware form of society. This new approach is crucial in helping one learn to embrace the indeterminacy of life and the hazy relational structures that drive our existence. (shrink)

This paper sets out a moderate version of metaphysical structural realism that stands in contrast to both the epistemic structural realism of Worrall and the—radical—ontic structural realism of French and Ladyman. According to moderate structural realism, objects and relations (structure) are on the same ontological footing, with the objects being characterized only by the relations in which they stand. We show how this position fares well as regards philosophical arguments, avoiding the objections against the other two versions of structural realism. (...) In particular, we set out how this position can be applied to space-time, providing for a convincing understanding of space-time points in the standard tensor formulation of general relativity as well as in the fibre bundle formulation. (shrink)

The aim of this paper is to discuss the relation between the observation basis and the theoretical principles of General Relativity. More specifically, this relation is analyzed with respect to constructive axiomatizations of the observation basis of space-time theories, on the one hand, and in attempts to complete them, on the other. The two approaches exclude one another so that a choice between them is necessary. I argue that the completeness approach is preferable for methodological reasons.

Hird, G.R., Recursive properties of relations on models, Annals of Pure and Applied Logic 63 241–269. We prove general existence theorems for recursive models on which various relations have specified recursive properties. These capture common features of results in the literature for particular algebraic structures. For a useful class of models with new relations R, S, where S is r.e., we characterize those for which there is a recursive model isomorphic to on which the relation corresponding to S remains (...) r.e., while that corresponding to R is not r.e.; immune; hyperimmune. The results are applied to vector spaces, Boolean algebras and abelian groups. In the case of vector spaces, this leads to a new kind supermaximal subspace of V∞. (shrink)

A general method for constructing a new class of topological Ramsey spaces is presented. Members of such spaces are infinite sequences of products of Fraïssé classes of finite relational structures satisfying the Ramsey property. The Product Ramsey Theorem of Sokič is extended to equivalence relations for finite products of structures from Fraïssé classes of finite relational structures satisfying the Ramsey property and the Order-Prescribed Free Amalgamation Property. This is essential to proving Ramsey-classification theorems (...) for equivalence relations on fronts, generalizing the Pudlák–Rödl Theorem to this class of topological Ramsey spaces. To each topological Ramsey space in this framework corresponds an associated ultrafilter satisfying some weak partition property. By using the correct Fraïssé classes, we construct topological Ramsey spaces which are dense in the partial orders of Baumgartner and Taylor generating p-points which are k-arrow but not \-arrow, and in a partial order of Blass producing a diamond shape in the Rudin-Keisler structure of p-points. Any space in our framework in which blocks are products of n many structures produces ultrafilters with initial Tukey structure exactly the Boolean algebra \\). If the number of Fraïssé classes on each block grows without bound, then the Tukey types of the p-points below the space’s associated ultrafilter have the structure exactly \. In contrast, the set of isomorphism types of any product of finitely many Fraïssé classes of finite relational structures satisfying the Ramsey property and the OPFAP, partially ordered by embedding, is realized as the initial Rudin-Keisler structure of some p-point generated by a space constructed from our template. (shrink)

Analytic philosophers often appeal to Reason and reasons to explain ethical relations. By Levinasian lights, this is backwards. It is not because we are already open to Reason that we are ethically open to others. It is through “the welcoming of [others] that the will opens to Reason.” We do not respond to others’ needs because we are reasonable; being reasonable is itself “a response to . . . a face, [who already] speaks.” The structure of reason, theoretical or practical, (...) does not produce ethical obligation. On the contrary, “the . . . ethical [is] the . . . irreducible structure upon which all other structures rest”. -/- While the implications of Levinas’s ethics-first claim are, for Reason-centered philosophy, nothing short of Copernican, the actual impact of Levinas's contentions has been negligible. I argue that this absence of impact results from a remarkable absence in the secondary literature to explain what the face 'is' and how it has the reason-prompting effect Levinas clearly says it has. Using a key contrast between Levinasian responsibility and Kantian respect, I offer a reconstruction of Levinas's often-obscure arguments about what the face 'is'--a persisting imperative to respond to the physical vulnerability of others-- and consider how facing this vulnerability could have this extraordinary reason-inaugurating power. (shrink)

In the framework of set theory we cannot distinguish between natural and non-natural predicates. To avoid this shortcoming one can use mathematical structures as conceptual spaces such that natural predicates are characterized as structurally nice subsets. In this paper topological and related structures are used for this purpose. We shall discuss several examples taken from conceptual spaces of quantum mechanics (orthoframes), and the geometric logic of refutative and affirmable assertions. In particular we deal with the problem (...) of structurally distinguishing between natural colour predicates and Goodmanian predicates like grue and bleen. Moreover the problem of characterizing natural predicates is reformulated in such a way that its connection with the classical problem of geometric conventionalism becomes manifest. This can be used to shed some new light on Goodman's remarks on the relative entrenchment of predicates as a criterion of projectibility. (shrink)

As far as classical physics is concerned, it is possible to trace causal relations between physical objects back to intrinsic properties of these objects. On this view, causal relations turn out to be internal instead of external relations, supervening on intrinsic properties of the relata. However, one can raise doubts about this view already in Newtonian mechanics. The decisive blow to this view comes from quantum physics, with Bell’s theorem proving that no dynamics based on local, intrinsic properties of quantum (...) objects can yield the empirical predictions of quantum mechanics. Nonetheless, quantum entanglement by no means implies that we have to abandon an ontology of objects in favour of an ontology of structures. Any of the known proposals for a quantum ontology of matter in space-time is committed to objects. However, on any of these proposals, what determines the dynamics of these objects are not local, intrinsic properties, but a global or holistic property instantiated by all the objects together – that is, a structure that takes all the objects in the universe as its relata. The view set out in this paper thus amounts to combining ontic structural realism with an ontology of objects that can be conceived as substances. This suggestion is illustrated by drawing on the ontology of quantum physics worked out by Bohm and Bell. (shrink)

In my dissertation, I address a variety of issues in the metaphysics of space and related areas. I begin by discussing the popular thesis that regions of space are identical to sets of points in space. I present three arguments against this thesis and conclude that we should be skeptical of it. In its place, I propose an axiomatic theory of regions of space that is consistent with both reductive accounts of their nature and with accounts that treat them as (...) sui generis entities. -/- I next explore the consequences of the aforementioned considerations. In particular, I describe five different sorts of structure each of which is such that the claim that space could have that structure is consistent with the axiomatic theory previously proposed. I claim that this fact, together with the skepticism concerning reductive accounts argued for earlier, shows that we should take seriously the claim that space could have any of these structures. -/- Having argued that we should be skeptical of the thesis that regions of space are identical to sets of points in space and suggesting that space could have different sorts of structure, I discuss how best to analyze continuity. I present an analysis of continuity inspired by remarks of Richard Cartwright in his 1975 paper ‘Scattered Objects’. I argue that this Cartwrightian analysis should be rejected because it identifies regions of space with sets of points in space, and I present a modified version of the analysis that does not do so. I note, however, that there is an intuitive notion of continuity that is not captured by this modified Cartwrightian analysis. I present and defend an analysis of continuity that better captures this intuitive notion. -/- I then turn to the issue of how to analyze what it is for a region of space to be open and what it is for a region of space to be closed. Here I argue that Cartwright’s analyses of these notions are incorrect. I then present a series of alternative analyses, revising each in response to objections. This process culminates with my proposed analyses of what it is for a region of space to be open and what it is for a region of space to be closed. -/- Finally, I discuss the Maximally Continuous Account of Simples (MaxCon), originally formulated and defended by Ned Markosian in his 1998 paper ‘Simples’. I argue that Markosian’s version of MaxCon, which identifies regions of space with sets of points in space and relies on the Cartwrightian analysis of continuity, should be rejected. I then formulate a new version of MaxCon that builds on the views defended earlier in my dissertation and defend this new version of MaxCon from objections. (shrink)

This essay is an investigation into the social construction of agents and agency, linked directly to a cross-cultural predilection toward accumulation, categorization and data distribution in the interest, whether latent or manifest, of community formation. It is presented as a mediation on mediation, emerging out of ongoing interdisciplinary collaboration1 oriented around creative design of multiple interfaces into distributed information spaces, accessed through utilization of an agent technology called the “Information personae.” As such it is tenuously positioned at the nexus (...) of art, computer science, engineering and cultural studies, sitting comfortably at home in none. (shrink)

The generic ultrafilter${\cal G}_2 $forced by${\cal P}\left/\left$was recently proved to be neither maximum nor minimum in the Tukey order of ultrafilters, but it was left open where exactly in the Tukey order it lies. We prove${\cal G}_2 $that is in fact Tukey minimal over its projected Ramsey ultrafilter. Furthermore, we prove that for each${\cal G}_2 $, the collection of all nonprincipal ultrafilters Tukey reducible to the generic ultrafilter${\cal G}_k $forced by${\cal P}\left/{\rm{Fin}}^{ \otimes k} $forms a chain of lengthk. Essential to (...) the proof is the extraction of a dense subsetεkfrom +which we prove to be a topological Ramsey space. The spacesεk,k≥ 2, form a hierarchy of high dimensional Ellentuck spaces. New Ramsey-classification theorems for equivalence relations on fronts on εkare proved, extending the Pudlák–Rödl Theorem for fronts on the Ellentuck space, which are applied to find the Tukey and Rudin–Keisler structures below${\cal G}_k $. (shrink)

Musical improvisation is a sophisticated activity in which a performer realizes, real-time, melodic, and rhythmic sequences in harmony with those from other musicians. The study of musical improvisation helps one to understand not only the cognition of creativity, but also the complex neuronal basis of executive functions, the relation between conscious and unconscious action, and even more. So far, the prevailing models, founded on the brain imaging method, have focused on the connection between the cortical areas and their cognitive processes. (...) Little attention, on the other hand, has been given to the huge variety of subcortical activities, especially in the basal ganglia. This fundamental subcortical component, through its implicit procedures and the role it plays in memory, is responsible to produce new information all the time, allowing the prefrontal cortex to transform a huge and disordered amount of data in explicit creative acts. The basal ganglia are strongly related to the activation of chemical signals generated by dissonance or lack of symmetry between perception and expectation, participating even in the responses to environmental demands according to the circumstances. Thus, they interact with the frontal cortex and with the limbic system, playing a key role in planning and selecting appropriate actions and in decision making. In this text, we try to explain in which sense improvisation is connected to the processes of executive functions, to creativity and to the integrated activity of cortical–subcortical areas controlling the free flow of ideas and to expressive spontaneity. Eventually, we purpose a model according to which structure and process take part at the centrencephalic space of functional integration, which, through both competing and cooperating dynamics, gives way to spontaneous composition. (shrink)

The paper presents the reflection on philosophical foundations of contemporary physical concepts of global history and global structure of Universe. It shows that Democritus's dualism of "matter and void" is changed now in dualism of "matter and energy" in the frame of the strings theory, where anything what looks like "a void" is absent. At the same time the Poincare-Perelman's theorem calls to rethink Democritus's philosophy in the light of "space and hole" discourse and call it to come back. On (...) the level of philosophy doctrines for contemporary fundamental physics it in necessary to combine dialectically the concept of "matter and void/hole" and the concept "matter and energy" (or "matter and singular conditions"). It is possible to do on the way of rethinking of H. Bergson's ideas presented in his book "Matter and memory". The conclusion is that fundamental dualism consists the relation "visible matter - invisible historical memory" inside of Universe. (shrink)

This essay draws on a wide range of feminist, psychoanalytic and other anti-racist theorists to work out the specific mode of space as ‘contained’ and the ways it grounds dominant contemporary forms of racism i.e. the space of phallicized whiteness. Offering a close reading of Lacan’s primary models for ego-formation, the mirror stage and the inverted bouquet, I argue that psychoanalysis can help us to map contemporary power relations of racism because it enacts some of those very dynamics. Casting the (...) production of subjectivity on the field of the visual, Lacan performs some of the fundamental conceptions of space and embodiment that ground the dominant forms of racism in these cultural symbolics. Namely, he articulates a body that is bound by skin, structured by a logic of containment, cathected through aggression and distance, and read primarily through the way it looks – both how it appears and how it beholds the appearances of other bodies. Unraveling this nexus of power relations, I argue that a fundamental anti-racist strategy is to interrupt, interrogate and re-deploy this interpellation of images. Key Words: ego-formation • embodiment • historicity • Lacan • ontological • phallus • race/racial difference/racism • space • visual • whiteness. (shrink)

PurposeMāori culture is a central aspect inAotearoa/New Zealand's national identity. Beginning in the 1970s biculturalism saw the indigenous culture and values acknowledged and incorporated in wider public discourse and policy. The purpose of this paper is to investigate whether New Zealand's cyberspace accommodates Māori. It explores how the web space is influenced by biculturalism and in turn what an understanding of this web space can tell us about biculturalism inAotearoa.Design/methodology/approachA brief introduction to biculturalism in New Zealand provides the background to (...) the investigation of the country's web space. Recent access statistics enquire whether Māori are actually connected to the internet. The exploration of the structure of the internet is informed by newspaper articles and online documents relating to the development of two Māori specific second‐level domain name spaces. A word‐frequency analysis within a sample of 21 websites provides an overview into the use of the Māori language in cyberspace.FindingsThe paper shows that although Māori have the lowest access rate to the internet compared to other ethnic groups in New Zealand, their influence on the country's web space is nonetheless far‐reaching. Developments regarding Māori language uses over the last years are generally progressive. Māori culture and ongoing social changes are increasingly accommodated on the internet – Māori have been actively shaping the web space. However, these efforts do require the support and acceptance of the wider Internet community. The linguistic and structural developments taking place online since the mid 1990s were influenced by the bicultural thinking, public discourse and practice of the time.Originality/valueThis paper draws together the Māori success‐stories in their endeavour to assert their cultural needs in New Zealand's cyberspace. It highlights that the understanding ofAotearoaas being a bicultural country influenced developments taking place online potentially will lead to a truly bicultural web space in the near future. (shrink)

Within the framework of Viewpoint Spaces (Dancygier, Barbara. 2012. The language of stories: A cognitive approach. Cambridge: Cambridge University Press), this paper investigates viewpoint interactions in a mobile game’s plot to show how the game’s structural framing leads to meaning construction, specifically the construal of irony. The notion of (meta-)Ground Viewpoint Space is proposed not only to provide a generalized account of a global mental space where local spaces and viewpoints relate to one another, but also to elucidate (...) how the invoked genre-specific expectation makes a significant meaning contribution to the player’s overall construal of the game. This study presents a case study of the mobile game Liyla and the Shadows of War (Abueideh, Rasheed. 2016. Liyla and the Shadows of War) as a viewpoint phenomenon whose construal involves the interaction of multiple viewpoints. The game depicts the consequences of the 2014 Gaza conflict from the perspective of an unnamed Palestinian father struggling to escape the war zone with his daughter Liyla. It deviates from prototypical games in that it is impossible to complete the expected narrative, regardless of the player’s skill, although its ostensible goal is to let the protagonists survive and escape to a safer place. The mismatch between the player’s goal to clear all the stages, the character’s goal to survive, and the developer’s goal to convey a message is a source of ironic meaning, and this study focuses on how the network of multiple viewpoints – of the game developer, the character, and the player – constructs the intended meaning for players. (shrink)

The application of geometry to physics has provided us with new insightful information about many physical theories such as classical mechanics, general relativity, and quantum geometry. The geometry also plays an important role in foundations of quantum mechanics and quantum information. In this work we discuss a geometric framework for mixed quantum states represented by density matrices, where the quantum phase space of density matrices is equipped with a symplectic structure, an almost complex structure, and a compatible Riemannian metric. This (...) compatible triple allow us to investigate arbitrary quantum systems. We will also discuss some applications of the geometric framework. (shrink)

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

It has become an academic self-evidence that space can only inadequately be conceptualized as a material or earth-bound base for social processes. This could commend a theoretical view of space as the outcome of action, which brings both social production practices and bodily deployment into focus. The action-theoretical perspective allows the constitution of space to be understood as taking place in perception. Not only are things alone perceived but also the relations between objects. This article develops a space-theoretical concept according (...) to which space is constituted through acts as the outcome of synthesis and positioning practices. This opens up a theoretical perspective defining atmospheres as an external effect, instantiated in perception, of social goods and human beings in their situated spatial order/ing. Exclusion and inclusion are accordingly comprehended in terms of perception of the attunement of places. With reference to Anthony Giddens, this article discusses how space can be understood as a duality of structural ordering and action elements. (shrink)

According to classical molecular chemistry, molecules have a structure, that is, they are sets of atoms with a definite arrangements in space and held together by chemical bonds. The concept of molecular structure is central to modern chemical thought given its impressive predictive power. It is also a very useful concept in chemistry education, due to its role in the rationalization and visualization of microscopic phenomena. However, such a concept seems to find no place in the ontology described by quantum (...) mechanics, since it appeals to classical notions such as the position of the atomic nuclei or the individuality of electrons. Although this problem has attracted the attention of several authors, the discussion is far from settled. Some authors adopt an explicitly reductionist position and advocate to reconstruct the concept of molecular structure within the framework of the quantum theory. Others, although acknowledging the conceptual discontinuity between quantum mechanics and molecular chemistry, keep the hope of future reduction alive. From an explicitly non-reductionist position, on the contrary, others authors conceive molecular structure as an emergent phenomenon. The purpose of this article is to propose a different line of argumentation to address this problem. By contrast to reduction and emergence, the admission of a multiplicity of ontologies, not necessarily linked by hierarchical connections, cancels the need of finding a relation of dependence between the molecular level and the quantum level. This ontologically pluralist position can be applied to the issue of molecular structure, in order to argue that it is possible to admit the existence of structure in the ontology of molecular chemistry, in spite of the fact that it does not exist in the quantum world. (shrink)

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

In this paper, we introduce the concept of N-dimensional generalized Minkowski space, i.e., a space endowed with a metric tensor, whose coefficients do depend on a set of non-metrical coordinates. This is the first of a series of papers devoted to the investigation of the Killing symmetries of generalized Minkowski spaces. In particular, we discuss here the infinitesimal-algebraic structure of the space-time rotations in such spaces. It is shown that the maximal Killing group of these spaces is (...) the direct product of a generalized Lorentz group and a generalized translation group. We derive the explicit form of the generators of the generalized Lorentz group in the self-representation and their related, generalized Lorentz algebra. The results obtained are specialized to the case of a 4-dimensional, “deformed” Minkowski space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $${\widetilde M}$$ \end{document}4, i.e., a pseudoeuclidean space with metric coefficients depending on energy. (shrink)

This book investigates the ontological state of relations in a unique way. Starting with the notion of system, it shows that the system can be understood as a relational structure, and that relations can be assessed within themselves, with no need to transform relations in elements. “Relations” are understood in contrast to “relational property”: without a relation there is no identity, therefore no existence. What allows us to do that without hypostatizing the relation, and without immediately taking it (...) simply as a causal relation, can be better grasped, possibly, in reference to a few entities that make best display of their systemic nature, for example images, works of art, and virtual bodies. This book shows how virtual bodies are ontological hybrids representing a type of entity that has never appeared in the world before. This entity becomes a phenomenon in interactivity and evades the dichotomy between “external” and “internal”; it is neither a cognitive product of the consciousness, nor an image of the mind. The user is well aware of experiencing anotherreality, also in the sense of a paradoxical reduplication of perceptual synthesis. The virtual body-environment is therefore simultaneously external and internal, with virtual bodies-environments to be seen as artificial windows to an intermediary world. In this intermediary world, the space itself is the result of interactivity; the world takes place in the sense or feeling of immersion experienced by the user; and the body, perceived as “other”, takes upon itself the sense of its reality, of its effectiveness, as an imaginary and pathic incision, as a production of desire and emotion, to the point that the feeling of reality conveyed by a virtual environment will rely significantly on how this environment produces emotions in the users. (shrink)

Replying to Samuel Knafo and Benno Teschke, this article shows how Political Marxism offers powerful conceptual tools to understand modes of production that structure historical processes as fundamentally constituted by exploitative social and political relations. I explain how structure, or rules of reproduction, should be understood as alienated social relations, which are inherent to all class societies. Understanding structure this way leaves ample space for – and makes inevitable – the consideration of agency.

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

This paper states that modern education and utopian discourse share one common trait, that of being structurally founded on the promise of human betterment. The changing relations between concepts of education and utopianism will be developed through conceptual analysis of the dynamics of the promise in their interweaving process. This shall be discussed through three main topics. The first is the appropriation of space in early modern education, with particular emphasis on the influence of print technology on framing a new (...) conception of educational spaces and practices. Second, the promise of the idea of progress in the Enlightenment period, which will become the further technological promise of a society-to-come, no longer spatially but temporally presented. Finally, the promise of autonomy through and against the modern subject, in which such autonomy is presented like the end of the journey through education, supposed that there is an end to such a journey. The key f... (shrink)

Visual space can be distinguished from physical space. The first is found in visual experience, while the second is defined independently of perception. Theorists have wondered about the relation between the two. Some investigators have concluded that visual space is non-Euclidean, and that it does not have a single metric structure. Here it is argued that visual space exhibits contraction in all three dimensions with increasing distance from the observer, that experienced features of this contraction are not the same as (...) would be the experience of a perspective projection onto a fronto-parallel plane, and that such contraction is consistent with size constancy. These properties of visual space are different from those that would be predicted if spatial perception resulted from the successful solution of the inverse problem. They are consistent with the notion that optical constraints have been internalized. More generally, they are also consistent with the notion that visual spatial structures bear a resemblance relation to physical spatial structures. This notion supports a type of representational relation that is distinct from mere causal correspondence. The reticence of some philosophers and psychologists to discuss the structure of phenomenal space is diagnosed in terms of the simple materialism and the functionalism of the 1970s and 1980s. (shrink)

The paper presents a program to construct a non-relativistic relational Bohmian theory, that is, a theory of N moving point-like particles that dispenses with space and time as fundamental background structures. The relational program proposed is based on the best-matching framework originally developed by Julian Barbour. In particular, the paper focuses on the conceptual problems that arise when trying to implement such a program. It is argued that pursuing a relational strategy in the Bohmian context leads (...) to a more parsimonious ontology than that of standard Bohmian mechanics without betraying the original motivations for adopting a primitive ontology approach to quantum physics. It is also shown how a relational Bohmian approach might clarify the issue of the timelessness of the dynamics resulting from the quantization of a classical relational system of particles. (shrink)

For a signature L with at least one constant symbol, an L‐structure is called minimal if it has no proper substructures. Let be the set of isomorphism types of minimal L‐structures. The elements of can be identified with ultrafilters of the Boolean algebra of quantifier‐free L‐sentences, and therefore one can define a Stone topology on. This topology on generalizes the topology of the space of n‐marked groups. We introduce a natural ultrametric on, and show that the Stone topology on (...) coincides with the topology of the ultrametric space iff the ultrametric space is compact iff L is locally finite (that is, L contains finitely many n‐ary symbols for any ). As one of the applications of compactness of the Stone topology on, we prove compactness of certain classes of metric spaces in the Gromov‐Hausdorff topology. This slightly refines the known result based on Gromov's ideas that any uniformly totally bounded class of compact metric spaces is precompact. (shrink)

The paper compares ontic structural realism in quantum physics with ontic structural realism about space–time. We contend that both quantum theory and general relativity theory support a common, contentful metaphysics of ontic structural realism. After recalling the main claim of ontic structural realism and its physical support, we point out that both in the domain of quantum theory and in the domain of general relativity theory, there are objects whose essential ways of being are certain relations so that these objects (...) do not possess an intrinsic identity. Nonetheless, the qualitative, physical nature of these relations is in the quantum case (entanglement) fundamentally different from the classical, metrical relations treated in general relativity theory. (shrink)