We develop the general theory of topometric spaces, i.e., topological spaces equipped with a well-behaved lower semi-continuous metric. Spaces of global and local types in continuous logic are the motivating examples for the study of such spaces. In particular, we develop Cantor-Bendixson analysis of topometric spaces, which can serve as a basis for the study of local stability (extending the ad hoc development in Ben Yaacov I and Usvyatsov A, Continuous first order logic (...) and local stability. Trans Am Math Soc, in press), as well as of global ${\aleph_0}$ -stability. We conclude with a study of perturbation systems (see Ben Yaacov I, On perturbations of continuous structures, submitted) in the formalism of topometric spaces. In particular, we show how the abstract development applies to ${\aleph_0}$ -stability up to perturbation. (shrink)

Given a continuous and isometric action of a Polish group G on an adequate Polish topometric space $(X,\tau,\rho )$ and $x \in X$, we find a necessary and sufficient condition for $\overline {Gx}^{\rho }$ to be co-meagre; we also obtain a criterion that characterizes when such a point exists. This work completes a criterion established in earlier work of the authors.

We study global dynamical properties of the isometry group of the Borel randomization of a separable complete structure. We show that if properties such as the Rokhlin property, topometric generics, and extreme amenability hold for the isometry group of the structure, then they also hold in the isometry group of the randomization.

The conceptual spaces approach has recently emerged as a novel account of concepts. Its guiding idea is that concepts can be represented geometrically, by means of metrical spaces. While it is generally recognized that many of our concepts are vague, the question of how to model vagueness in the conceptual spaces approach has not been addressed so far, even though the answer is far from straightforward. The present paper aims to fill this lacuna.

Recently, there has been much research into conceptual engineering in connection with feminist inquiry and activism, most notably involving gender issues, but also sexism and misogyny. Our paper contributes to this research by explicating, in a principled manner, a series of other concepts important for feminist research and activism, to wit, feminist political identity terms. More specifically, we show how the popular Conceptual Spaces Framework (CSF) can be used to identify and regiment concepts that are central to feminist research, (...) focusing especially on feminism in France. According to the CSF, concepts can be represented geometrically, as regions in similarity spaces. A particular strength of the CSF framework is its empirically-focused methodology, which allows researchers to infer the boundaries of concepts from empirical data, thus eliminating the need to strongly rely on intuitions about meanings. This is shown to be especially valuable for the explication of concepts relating to feminist political identity, given that the intuitions of feminist scholars and activists about what would appear to be core concepts in the area tend to be poorly aligned or even conflicting. We report the results from an empirical categorization study conducted among French feminists and show how they support the view that the CSF can contribute to both the conceptual engineering project and our understanding of the structure of social reality. (shrink)

I argue that epistemic injustice manifests not only in the content of our concepts, but in the spaces between them. Others have shown that epistemic injustice arises in the form of “testimonial injustice,” where an agent is harmed because her credibility is undervalued, and “hermeneutical injustice,” where an agent is harmed because some community lacks the conceptual resources that would allow her to render her experience intelligible. I think that epistemic injustice also arises as a result of prejudiced and (...) harmful defects in the inferential architecture of both scientific practice and everyday thinking. Drawing on lessons from the philosophy of science, I argue that the inferential architecture of our epistemic practices can be prejudiced and wrongful, leading to a variety of epistemic injustice that I am calling “inferential injustice.” This type of injustice is fully structural; it inheres in our epistemic practices themselves rather than as a direct result of an individual’s action. For this reason, cases of inferential injustice are importantly different from extant cases of epistemic injustice and are especially hard to track. We need a better understanding of inferential injustice so that we can avoid and ameliorate cases such as the ones I present here. (shrink)

This edited book focuses on concepts and their applications using the theory of conceptual spaces, one of today’s most central tracks of cognitive science discourse. It features 15 papers based on topics presented at the Conceptual Spaces @ Work 2016 conference. The contributors interweave both theory and applications in their papers. Among the first mentioned are studies on metatheories, logical and systemic implications of the theory, as well as relations between concepts and language. Examples of the latter include (...) explanatory models of paradigm shifts and evolution in science as well as dilemmas and issues of health, ethics, and education. The theory of conceptual spaces overcomes many translational issues between academic theoretization and practical applications. The paradigm is mainly associated with structural explanations, such as categorization and meronomy. However, the community has also been relating it to relations, functions, and systems. The book presents work that provides a geometric model for the representation of human conceptual knowledge that bridges the symbolic and the sub-conceptual levels of representation. The model has already proven to have a broad range of applicability beyond cognitive science and even across a number of disciplines related to concepts and representation. (shrink)

Paper presented at Philippe Garrel, le temps incorporé/Embodied Time Université Paris 8 Nanterre 29 & 30 novembre 2018 This paper proposes a loose typology of space and place in Garrel’s cinema. Its point of departure is the 1969 round table organised by Jacques Rivette which was a supplement to a series of film screenings chosen to illustrate the theme of space in cinema. Among the films chosen was Garrel’s Le lit de la vierge, which, for Rivette, is of interest in (...) the way it exemplifies the cinema of an ‘adventure of place’ rather than an ‘adventure occurring in a place’. The film for Rivette escapes from the “dénoté géographique, topographique”. Although the round table represents a particular juncture it offers a potential line of enquiry regarding the spatialities of Garrel’s subsequent work. Given the crucial role played by memory linked to place, temporality must also be considered. I propose to explore certain examples from Garrel’s body of work through the idea, borrowed from Michael Tawa in his book of this title, of agencies of the frame. Through the possibilities in this conception, a rethinking of the link between character and place/space emerges. Linking the idea of agencies of the frame – which Tawa himself adapts from Simondon – back to Rivette’s early insights, I propose a survey and typology featuring, inter alia, the generic spaces of urban encounter and circulation, specific places of significance to Garrel, types of urban space, screen spaces, abstraction and spatiality and Parisian topographies. (shrink)

Understanding contemporary environments in the laboratory and elsewhere requires grappling conceptually with multiple, coexisting, nonconforming infrastructures which actors engage at the same time. In this article, I develop the analytical vocabulary of “seams” for studying heterogeneous, multi-infrastructural environments. Drawing upon six years of ethnographic fieldwork with two distributed science teams, as well as studies in Ubiquitous Computing, I examine overlaps among infrastructures and how actors work creatively with and across their seams. Rather than suggesting that actors are hemmed in or (...) incapacitated by multiple infrastructural commitments, inclusions, and exclusions, I show instead how they work artfully to align them in ways concordant with membership and how this produces both consequences for their work and opportunities for analysis. (shrink)

We approach the semantics of prepositions from the perspective of conceptual spaces. Focusing on purely spatial locative and directional prepositions, we analyze both types of prepositions in terms of polar coordinates instead of Cartesian coordinates. This makes it possible to demonstrate that the property of convexity holds quite generally in the domain of prepositions of location and direction, supporting the important role that this property plays in conceptual spaces.

We are accustomed to thinking of space and time as particulars or individuals—even if we should hesitate to describe them as things or objects or substances. We say ‘space has three dimensions’, ‘material things occupy space’, ‘the debris has disappeared into space’ and we talk in a comparable fashion about time. Not only do we think of space and time as individuals but, in many connections at any rate, we think of them as unique individuals. When we talk about (...) class='Hi'>spaces and times in the plural, when we say ‘fill up the spaces on the form’, ‘it could go in the space between the lamp and the door’, ‘there were peaceful times in the early years of their marriage’ we think of these multiple spaces and times as parts of the unique allencompassing space and the unique all-encompassing time. Kant believed that we could not help thinking of them in this way. We do, at any rate, in fact think like this and it is this conviction that I want to examine. (shrink)

The notion of conceptual space, proposed by Gärdenfors as a framework for the representation of concepts and knowledge, has been highly influential over the last decade or so. One of the main theses involved in this approach is that the conceptual regions associated with properties, concepts, verbs, etc. are convex. The aim of this paper is to show that such a constraint—that of the convexity of the geometry of conceptual regions—is problematic; both from a theoretical perspective and with regard to (...) the inner workings of the theory itself. On the one hand, all the arguments provided in favor of the convexity of conceptual regions rest on controversial assumptions. Additionally, his argument in support of a Euclidean metric, based on the integral character of conceptual dimensions, is weak, and under non-Euclidean metrics the structure of regions may be non-convex. Furthermore, even if the metric were Euclidean, the convexity constraint could be not satisfied if concepts were differentially weighted. On the other hand, Gärdenfors’ convexity constraint is brought into question by the own inner workings of conceptual spaces because: some of the allegedly convex properties of concepts are not convex; the conceptual regions resulting from the combination of convex properties can be non-convex; convex regions may co-vary in non-convex ways; and his definition of verbs is incompatible with a definition of properties in terms of convex regions. Therefore, the mandatory character of the convexity requirement for regions in a conceptual space theory should be reconsidered. (shrink)

We study computable Polish spaces and Polish groups up to homeomorphism. We prove a natural effective analogy of Stone duality, and we also develop an effective definability technique which works up to homeomorphism. As an application, we show that there is a $\Delta ^0_2$ Polish space not homeomorphic to a computable one. We apply our techniques to build, for any computable ordinal $\alpha $, an effectively closed set not homeomorphic to any $0^{}$-computable Polish space; this answers a question of (...) Nies. We also prove analogous results for compact Polish groups and locally path-connected spaces. (shrink)

Port Cities are historically the places for paradigm shifts, radical changes, and socio-economic transitions. In particular, the interaction zone between the port infrastructure and urban activities creates liminal spaces at the forefront of many contemporary challenges. In these liminal spaces, the port's flows, form, and function intertwine with urban contexts and conflict with the living conditions. Conceptualizing the portcityscape and harborscape as liminal space and urban thresholds leads to (re)thinking about innovative participatory methods and technologies for building community (...) resilience in port cities. Additionally, inevitable constant development in port cities requires adaptability and resilience from the waterfronts to the hinterlands and city centers. Such confrontation of port infrastructures and urbanization is socio-politically and spatially challenging, specifically in historic port cities. Therefore, as the approach to exploiting energy and human resources changes over time, the physicality of the built environment in port cities and how we (re)use the resources need to be redefined. This research investigates key socio-spatial features and challenges of port cities by examining how the port's proximity to the city requires coordination, collaboration, transparency, and community dialogue. The introduction and background literature discuss three domains and notions of port city studies, building community resiliency through participatory frameworks, and parasitic architecture. By building upon this analytical framework, the paper presents case studies developed within the research-led design studio focusing on building resilient communities in four port cities, including Amsterdam, Constanta, Alexandria, and Rio De Janeiro. This research focus on the community-enabled application of emerging technologies, innovative approaches, and co-designing and co-building participatory methods. The selected case studies introduce an integrative and multi-scalar pedagogical framework for building resilient communities in liminal spaces of port cities. (shrink)

In this article, we illuminate how a consumption practice in an ephemeral religious organization subverts systems of economic inequality that otherwise prevail in, and structure, society. Drawing on a rich ethnographic study in Pakistan, we show how the practice of food consumption in the Tablighi Jamaat —an Islamic organization originating in South Asia that is practiced intermittently by its followers—represents temporal spaces of egalitarianism. Within these temporal spaces, entrenched economic hierarchies that are salient in organizing Pakistani society are (...) challenged. We found that while the fundamental principles of the Tablighi Jamaat advocate for subversion of the economic hierarchies that propagate myriad inequalities by demarcating local Muslims into spheres of different social and economic classes, it is in the practice of food consumption when ethical transgression from these hierarchies are rendered most intelligible. Finally, we consider the implications of this study to the emerging field of Islamic business ethics. (shrink)

Summary I outline an approach to the phenomenology of improvised music which takes typification and the development of multi‐ordered phenomenological structures as central. My approach here is firmly in line with classical Husserlian phenomenology, taking the discussion of types in Experience and Judgment (Husserl, 1973) and Brudzińska (2015) as guide. I provide a phenomenological analysis of musical types as they are found in improvisational contexts, focusing on jazz in the 20th century. Styles are higher‐order musical types. Musical types are structures (...) that are temporally “thick,” relying on sedimented typification and knowledge, driving expectations as definitional. In most forms of music (including improvised music), musical styles involve maintaining a balance between confirming expectations and flouting expectations. I show that improvised music has a phenomenal structure which is enriched by the communicative and “ real‐time” nature of improvised music. Improvised music can be seen as an exploration of a possibility space rendered by the juxtaposition of the musical types afforded by a performance environment (instrumentation, harmonic and melodic traditions, etc.). I show that improvisation in music is a multi‐vectoral form of communication. The communication is founded in what Dieter Lohmar calls “non‐linguistic thinking.” The expression is constituted in the results of active and synthesis. The culmination of improvisational exploration of possibility spaces is the precisification and enrichment of styles‐as‐types, while in some cases developing new styles in the process. (shrink)

The dominating models of information processes have been based on symbolic representations of information and knowledge. During the last decades, a variety of non-symbolic models have been proposed as superior. The prime examples of models within the non-symbolic approach are neural networks. However, to a large extent they lack a higher-level theory of representation. In this paper, conceptual spaces are suggested as an appropriate framework for non- symbolic models. Conceptual spaces consist of a number of 'quality dimensions' that (...) often are derived from perceptual mechanisms. It will be outlined how conceptual spaces can represent various kind of information and how they can be used to describe concept learning. The connections to prototype theory will also be presented. (shrink)

This book argues that identified weaknesses in recent theological engagement with New Materialism can be successfully addressed by incorporating insights from Relational Christian Realism. Central themes are those of the relational and the apophatic as they represent different but essential strands of a materialist theology. The relational refers to the work of Deleuze and its influence upon key New Materialist thinkers such as De Landa, Bryant, and Braidotti but supplemented from Relational Christian Realism by Latour and Badiou and with reference (...) to the concept of the apophatic as found in Keller and Kearney. Examining the concepts of transcendence, human agency, and a New Enlightenment, the book moves into more practical areas of aesthetics and technology concluding with a response to the contemporary apocalyptic of climate change. Being "beyond in the midst" requires developing spaces of faithful dissent and holding the tension between the relational and the apophatic in theology.<. (shrink)

We present an account of semantics that is not construed as a mapping of language to the world but rather as a mapping between individual meaning spaces. The meanings of linguistic entities are established via a “meeting of minds.” The concepts in the minds of communicating individuals are modeled as convex regions in conceptual spaces. We outline a mathematical framework, based on fixpoints in continuous mappings between conceptual spaces, that can be used to model such a semantics. (...) If concepts are convex, it will in general be possible for interactors to agree on joint meaning even if they start out from different representational spaces. Language is discrete, while mental representations tend to be continuous—posing a seeming paradox. We show that the convexity assumption allows us to address this problem. Using examples, we further show that our approach helps explain the semantic processes involved in the composition of expressions. (shrink)

An axiomatic development of the theory of apartness and nearness of a point and a set is introduced as a framework for constructive topology. Various notions of continuity of mappings between apartness spaces are compared; the constructive independence of one of the axioms from the others is demonstrated; and the product apartness structure is defined and analysed.

Journal Name: Cognitive Linguistics Issue: Ahead of print.

Background: Pre-licensure ethics nursing education does not adequately prepare and instill confidence in nurses to address ethical issues, and yet ethics education provides nurses with greater confidence to take moral action, which can mitigate the negative effects of moral distress. Objectives: To assess the feasibility and acceptability of a nursing ethics education program that included simulated case-based ethics competencies as a form of evaluation. The program aimed at building nurses’ ethical knowledge and confidence to respond to ethical challenges in practice. (...) Research design: A prospective, longitudinal, correlational, single-cohort feasibility study using an investigator-developed survey and intervention field data. Participants and research context: Registered nurses were recruited from an academic quaternary-care medical center and 9 small- to mid-sized regional hospitals within one health system in the Midwest United States. Ethical considerations: IRB approval was obtained. Participants could complete the educational program regardless of research process participation. Findings: Of 20 participants, 19 (95%) provided post-program surveys and 18 completed competencies. Median (IQR) scores with quartiles for scheduling, timing, and length of sessions were all 10.0 [9.0, 10.0], and participants perceived that the content was interesting, increased knowledge and confidence in ethics, increased skills in providing ethical care, and would recommend the program to colleagues. Of factors, an increase in ethics knowledge had the highest “always agree” (17, 89.5%) response. Most participants reported that ethics competencies were appropriate 9.0 [9.0, 10.0] and sufficiently challenging 10.0 [9.0, 10.0]. Discussion: The education program developed nurses’ ethics knowledge and confidence. The single-cohort feasibility design provided early-stage intervention outcomes; however, a larger randomized controlled trial would substantiate program value. Conclusion: This novel ethics education program was highly feasible and acceptable to hospital-based nurses who reported increased knowledge and confidence in providing ethical care. Simulated case-based ethics competencies were an appropriate evaluation method. (shrink)

Sociologists often imagine society as spaces, yet how social spaces are related remains ambiguous in most theories. In developing his field theory, Bourdieu used extensively the concept of homology to describe the structural similarities across fields, but he had not taken seriously the spaces between fields or how fields are related to each other. Adopting the Simmelian approach of formal sociology, this article outlines six basic social forms by which social spaces are related. It argues that (...) relations between social spaces can be understood along two dimensions: heterogeneity and social distance. In terms of heterogeneity, social spaces can be kindred, symbiotic or oppositional. In terms of social distance, they can be linked, nested or overlapping. These social forms of interspatial relations are constituted by the boundary work of a variety of actors, including guardians, brokers and space travellers. The article provides a general vocabulary for thinking about how social spaces are related and how they interact across boundaries. (shrink)

I present the current experimental and theoretical work on interference in complementary spaces. These ideas are applicable to both light and matter waves. I give a detailed treatment for classical light beams in frequency and time domains. I also present a description which gives the totality of interferences.

We show that metric spaces and continuous functions between them are domain representable using the category of Scott-Ershov domains. A notion of effectivity for metric spaces is thereby inherited from effective domain theory. It is shown that a separable metric space with an effective metric can be represented by an effective domain. For a class of spaces, including the Euclidean spaces, the usual notions of effectivity are obtained. The Banach fixed point theorem is a consequence of (...) the least fixed point theorem for domains. A notion of semieffective domains is introduced and used to give a new proof of Ceitin's theorem. (shrink)

This chapter investigates the locations and modes of musical performance in the residences of the nobility in seventeenth-century Rome, indicating the differences between this period and the Renaissance. In particular, instances of music-making in the courts of princes and cardinals are identified and described, in relation to considerations of etiquette, social conventions and anthropology. This research, based on first-hand documentary research in the archives of Roman noble families, has revealed unexpected locations for music-making, which cannot always be justified in terms (...) of acoustic or aesthetic criteria. Particular attention is paid to the places where instruments were stored, as recorded in inventories, and their typology. (shrink)

Nelson Goodman observed that we use only certain ‘good’ (viz. projectible) predicates during reasoning, with no obvious demarcation criterion in sight to distinguish them from the bad and gruesome ones. This apparent arbitrariness undermines the justifiability of our reasoning practices. Inspired by Quine’s 1969 paper on Natural Kinds, Peter Gärdenfors proposes a cognitive criterion based on his theory of Conceptual Spaces (CS). He argues the good predicates are those referring to natural concepts, and that we can capture naturalness in (...) terms of similarity. In contrast to Quine, he does not primarily rely on logic, but geometry. He frames his account as a descriptive project, however, and it is not obvious how it addresses the normative dimension of Goodman’s Riddle. This paper develops a charitable reconstruction of his argument, based on the idea that the instrumental success of our projectible concepts is grounded in their cognitive-pragmatic naturalness. It then explores three lines of reasoning against the argument: Evolutionarily motivated skepticism, the miracles argument, and the relation between instrumental and pragmatic success. I conclude that in its current form, the CS account fails to provide any justification of reasoning beyond appealing to its instrumental success, and that a metaphysically robust notion of naturalness helps to achieve the desired goal. (shrink)

In an effort to address healthcare disparities in lesbian, gay, bisexual, transgender, and queer populations, many hospitals and clinics institute diversity training meant to increase providers’ awareness of and sensitivity to this patient population. Despite these efforts, many healthcare spaces remain inhospitable to LGBTQ patients and their loved ones. Even in the absence of overt forms of discrimination, LGBTQ patients report feeling anxious, unwelcome, ashamed, and distrustful in healthcare encounters. We argue that these negative experiences are produced by a (...) variety of subtle, ostensibly insignificant features of healthcare spaces and interpersonal interactions called microaggressions. Healthcare spaces and providers often convey heteronormative microaggressions, which communicate to LGBTQ—and, we suggest, intersex and asexual —people that their identities, experiences, and relationships are abnormal, pathological, unexpected, unwelcome, or shameful. We identify heteronormative microaggressions common to healthcare settings and specify how they negatively impact LGBTQIA patients. We argue that standard diversity training cannot sufficiently address heteronormative microaggressions. Despite these challenges, healthcare institutions and providers must take responsibility for heteronormative microaggressions and take steps to reduce their frequency and mitigate their effects on LGBTQIA care. We conclude by offering strategies for problem-solving at the level of medical education, institutional culture and policy, and individual awareness. (shrink)

We give a systematic technical exposition of the foundations of the theory of computably compact metric spaces. We discover several new characterizations of computable compactness and apply these characterizations to prove new results in computable analysis and effective topology. We also apply the technique of computable compactness to give new and less combinatorially involved proofs of known results from the literature. Some of these results do not have computable compactness or compact spaces in their statements, and thus these (...) applications are not necessarily direct or expected. (shrink)