There is growing philosophical interest in “affective injustice”: injustice faced by individuals specifically in their capacity as affective beings. Current debates tend to focus on affective injustice at the psychological level. In this paper, I argue that the built environment can be a vehicle for affective injustice — specifically, what Wildman et al. (2022) term “affective powerlessness”. I use resources from ecological psychology to develop this claim. I consider two cases where certain kinds of bodies are, either intentionally or unintentionally, (...) deprived of access to goods affording the development and maintenance of their subjective well-being: hostile architecture and masking practices in autism. This deprivation, I argue further, leads to a significant weakening and diminishment of their spatial agency, hinders their well-being, and in so doing gives rise to a pervasive experience of affective powerlessness. By drawing attention to these themes, I show that an ecological approach helpfully supplements existing approaches. It highlights how affective injustice can emerge via the way bodies are positioned in space, and the central role that built environments play in determining this positioning. (shrink)

Das heutige, mehr und mehr vom Aspekt des Werdens beherrschte Wirklichkeitsverständnis (Geschichtlichkeit, Evolution) verlangt nach einem ihm entsprechenden, von Grund auf dynamisch bestimmten Seinsbegriff, damit es philosophisch aufgearbeitet werden kann. Ein solcher Seinsbegriff findet sich in der sog. Prozess- bzw. Organismusphilo- sophie von A.N. Whitehead (1861-1947). Es ist das Ziel der vorliegen- den Arbeit, diesen herauszuarbeiten und für die weitere philosophische und theologische Diskussion bereitzustellen.

Niche construction theory highlights the active role of organisms in modifying their environment. A subset of these modifications is the developmental niche, which concerns ecological, epistemic, social and symbolic legacies inherited by organisms as resources that scaffold their developmental processes. Since in this theory development is a situated process that takes place in a culturally structured environment, we may reasonably ask if implicit cultural biases may, in some cases, be responsible for maladaptive developmental niches. In this paper we wish to (...) argue for an affirmative answer. In order to do so, we first propose to conceptualize implicit bias as embodied perceptual habits, and then proceed to show that these habits are at least partially responsible for maladaptive developmental niches of children with Down syndrome and autism. With this framework we thus hope to bring together two fields of research that haven’t been explicitly connected: implicit bias and niche construction theory. Linking these two theories may bring benefits both to implicit bias researchers, who can extend this concept to characterize other sets of processes as biased, as well as to niche construction theorists, who will have a useful theoretical tool to diagnose maladaptive features of niches brought about by sociocultural biases. (shrink)

As technology improves, artificial systems are increasingly able to behave in human-like ways: holding a conversation; providing information, advice, and support; or taking on the role of therapist, teacher, or counsellor. This enhanced behavioural complexity, we argue, encourages deeper forms of affective engagement on the part of the human user, with the artificial agent helping to stabilise, subdue, prolong, or intensify a person's emotional condition. Here, we defend a fictionalist account of human/AI interaction, according to which these encounters involve an (...) elaborate practise of imaginative pretence: a make-believe in which the artificial agent is attributed a life of its own. We attend, specifically, to the temporal characteristics of these fictions, and to what we imagine artificial agents are doing when we are not looking at them. (shrink)

In this paper we adopt Sterelny's framework of the scaffolded mind, and his related dimensional approach, to highlight the many ways in which human affectivity is environmentally supported. After discussing the relationship between the scaffolded-mind view and related frameworks, such as the extended-mind view, we illustrate the many ways in which our affective states are environmentally supported by items of material culture, other people, and their interplay. To do so, we draw on empirical evidence from various disciplines, and develop phenomenological (...) considerations to distinguish different ways in which we experience the world affectively. (shrink)

We prove that the Weak Reflection Principle does not imply that every stationary set reflects to an internally approachable set. We show that several variants of internal approachability, namely, internally unbounded, internally stationary, and internally club, are not provably equivalent.

Duality in Logic and Language [draft--do not cite this article] Duality phenomena occur in nearly all mathematically formalized disciplines, such as algebra, geometry, logic and natural language semantics. However, many of these disciplines use the term ‘duality’ in vastly different senses, and while some of these senses are intimately connected to each other, others seem to be entirely … Continue reading Duality in Logic and Language →.

The extensive research in logic conducted by using concepts and methods of game theory as documented in this collection of papers, allows to see dialogue logic in a number of new perspectives. This situation may gain further clarity by looking back to the inception of dialogue logic in the late fifties and early sixties.

Much of the characteristic symptomatology of schizophrenia can be understood as resulting from a pervasive sense of disembodiment. The body is experienced as an external machine that needs to be controlled with explicit intentional commands, which in turn leads to severe difficulties in interacting with the world in a fluid and intuitive manner. In consequence, there is a characteristic dissociality: Others become problems to be solved by intellectual effort and no longer present opportunities for spontaneous interpersonal alignment. This dissociality goes (...) hand in hand with a progressive loss of the socially extended mind, which normally affords opportunities for co-regulation of cognitive and affective processes. However, at times people with schizophrenia report that they are confronted by the opposite of this dissociality, namely an unusual fluidity of the self-other boundary as expressed in experiences of ambiguous body boundaries, intrusions, and even merging with others. Here the person has not lost access to the socially extended mind but has instead become lost in it, possibly due to a weakened sense of self. We argue that this neglected aspect of schizophrenic social dysfunction can be usefully approached via the concept of genuine intersubjectivity: We normally participate in a shared experience with another person by implicitly co-regulating how our interaction unfolds. This co-regulation integrates our respective experience’s dynamical bases into one interpersonal process and gives the interaction an ambiguous second-person character. The upshot is that reports of abnormal self-other fluidity are not indicative of hallucinations without any basis in reality, but of a heightened sensitivity and vulnerability to processes of interpersonal alignment and mutual incorporation that form the normal basis of social life. We conclude by discussing implications of this view for both the science of consciousness as well as approaches to intervention and therapy. (shrink)

In this paper, we develop an analysis of the structure and content of loneliness. We argue that this is an emotion of absence-an affective state in which certain social goods are regarded as out of reach for the subject of experience. By surveying the range of social goods that appear to be missing from the lonely person's perspective, we see what it is that can make this emotional condition so subjectively awful for those who undergo it, including the profound sense (...) of being unable to realise oneself, in collaboration with others. (shrink)

In this paper, we draw on developmental findings to provide a nuanced understanding of background emotions, particularly those in depression. We demonstrate how they reflect our basic proximity (feeling of interpersonal connectedness) to others and defend both a phenomenological and a functional claim. First, we substantiate a conjecture by Fonagy & Target (International Journal of Psychoanalysis 88(4):917–937, 2007) that an important phenomenological aspect of depression is the experiential recreation of the infantile loss of proximity to significant others. Second, we argue (...) that proximity has a particular cognitive function that allows individuals to morph into a cohesive dyadic system able to carry out distributed emotion regulation. We show that elevated levels of psychological suffering connected to depressive background emotions may be explained not only in terms of a psychological loss, but also as the felt inability to enter into dyadic regulatory relations with others—an experiential constraint that decreases the individual’s ability to adapt to demanding situations. (shrink)

In this paper, we introduce the Japanese philosopher Tetsurō Watsuji’s phenomenology of aidagara (“betweenness”) and use his analysis in the contemporary context of online space. We argue that Watsuji develops a prescient analysis anticipating modern technologically-mediated forms of expression and engagement. More precisely, we show that instead of adopting a traditional phenomenological focus on face-to-face interaction, Watsuji argues that communication technologies — which now include Internet-enabled technologies and spaces — are expressive vehicles enabling new forms of emotional expression, shared experiences, (...) and modes of betweenness that would be otherwise inaccessible. Using Watsuji’s phenomenological analysis, we argue that the Internet is not simply a sophisticated form of communication technology that expresses our subjective spatiality (although it is), but that it actually gives rise to new forms of subjective spatiality itself. We conclude with an exploration of how certain aspects of our online interconnections are hidden from lay users in ways that have significant political and ethical implications. (shrink)

Philosophical work exploring the relation between cognition and the Internet is now an active area of research. Some adopt an externalist framework, arguing that the Internet should be seen as environmental scaffolding that drives and shapes cognition. However, despite growing interest in this topic, little attention has been paid to how the Internet influences our affective life — our moods, emotions, and our ability to regulate these and other feeling states. We argue that the Internet scaffolds not only cognition but (...) also affect. Using various case studies, we consider some ways that we are increasingly dependent on our Internet-enabled “techno-social niches” to regulate the contours of our own affective life and participate in the affective lives of others. We argue further that, unlike many of the other environmental resources we use to regulate affect, the Internet has distinct properties that introduce new dimensions of complexity to these regulative processes. First, it is radically social in a way many of these other resources are not. Second, it is a radically distributed and decentralized resource; no one individual or agent is responsible for the Internet’s content or its affective impact on users. Accordingly, while the Internet can profoundly augment and enrich our affective life and deepen our connection with others, there is also a distinctive kind of affective precarity built into our online endeavors as well. (shrink)

Anorexia Nervosa (AN) is an eating disorder characterised by self-starvation. Accounts of AN typically frame the disorder in individualistic terms: e.g., genetic predisposition, perceptual disturbances of body size and shape, experiential bodily disturbances. Without disputing the role these factors may play in developing AN, we instead draw attention to the way disordered eating practices in AN are actively supported by others. Specifically, we consider how Pro-Anorexia (ProAna) websites—which provide support and solidarity, tips, motivational content, a sense of community, and understanding (...) to individuals with AN—help drive and maintain AN practices. We use C. Thi Nguyen’s work on epistemic “echo chambers”, along with Maria Lugones’ work on “worlds” and “ease”, to explore the dynamics of these processes. Adopting this broader temporal and intersubjective perspective, we argue, not only helps to further illuminate the experiential character of AN but also has important clinical and therapeutic significance. (shrink)

Grief is, and has always been, technologically supported. From memorials and shrines to photos and saved voicemail messages, we engage with the dead through the technologies available to us. As our technologies evolve, so does how we grieve. In this paper, we consider the role chatbots might play in our grieving practices. Influenced by recent phenomenological work, we begin by thinking about the character of grief. Next, we consider work on developing “continuing bonds” with the dead. We argue that for (...) some, chatbots may play an important role in establishing these continuing bonds by helping us develop what we term “habits of intimacy”. We then turn to the “ick factor” some may feel about this prospect, focusing especially on ethical concerns raised by Patrick Stokes and Adam Buben about the risk of replacing our dead with chatbots. We argue that replacement worries are not as pressing as Stokes and Buben suggest. We resist these replacement worries by appealing to the “thin reciprocity”, as we refer to it, that such bots offer, as well as the fictionalist stance that we think users of the bots adopt when engaging with them. We conclude by briefly raising some additional concerns and highlighting future research questions. (shrink)

In this paper, we consider certain cardinals in ZF (set theory without AC, the axiom of choice). In ZFC (set theory with AC), given any cardinals C and D, either C ≤ D or D ≤ C. However, in ZF this is no longer so. For a given infinite set A consider $\operatorname{seq}^{1 - 1}(A)$ , the set of all sequences of A without repetition. We compare $|\operatorname{seq}^{1 - 1}(A)|$ , the cardinality of this set, to |P(A)|, the cardinality of (...) the power set of A. What is provable about these two cardinals in ZF? The main result of this paper is that $ZF \vdash \forall A(|\operatorname{seq}^{1 - 1}(A)| \neq|\mathscr{P}(\mathscr{A})|)$ , and we show that this is the best possible result. Furthermore, it is provable in ZF that if B is an infinite set, then $|\operatorname{fin}(B)| <|\mathscr{P}(B)|$ even though the existence for some infinite set B* of a function f from $\operatorname{fin}(B^\ast)$ onto P(B*) is consistent with ZF. (shrink)

Externalist theories hold that a comprehensive understanding of mental disorder cannot be achieved unless we attend to factors that lie outside of the head: neural explanations alone will not fully capture the complex dependencies that exist between an individual’s psychiatric condition and her social, cultural, and material environment. Here, we firstly offer a taxonomy of ways in which the externalist viewpoint can be understood, and unpack its commitments concerning the nature and physical realization of mental disorder. Secondly, we apply a (...) strongly externalist approach to the case of Autistic Spectrum Disorder, and argue that this condition can be illuminated by appeal to the hypothesis of extended cognition. We conclude by briefly considering the significance this strongly externalist approach may have for psychiatric practice and pedagogy. (shrink)

The theory of Participatory Discrepancies (or PDs) claims that minute temporal asynchronies (microtiming) in music performance are crucial for prompting bodily entrainment in listeners, which is a fundamental effect of the “groove” experience. Previous research has failed to find evidence to support this theory. The present study tested the influence of varying PD magnitudes on the beat-related body movement behavior of music listeners. 160 participants (79 music experts, 81 non-experts) listened to twelve music clips in either Funk or Swing style. (...) These stimuli were based on two audio recordings (one in each style) of expert drum and bass duo performances. In one series of six clips, the PDs were downscaled from their originally performed magnitude to complete quantization in steps of 20%. In another series of six clips, the PDs were upscaled from their original magnitude to double magnitude in steps of 20%. The intensity of the listeners’ beat-related head movement was measured using video-based motion capture technology and Fourier analysis. A mixed-design four-factor ANOVA showed that the PD manipulations had a significant effect on the expert listeners’ entrainment behavior. The experts moved more when listening to stimuli with PDs that were downscaled by 60% compared to completely quantized stimuli. This finding offers partial support for PD theory: PDs of a certain magnitude do augment entrainment in listeners. But the effect was found to be small to moderately sized, and it affected music expert listeners only. (shrink)

Until recently, philosophers and psychologists conceived of emotions as brain- and body-bound affairs. But researchers have started to challenge this internalist and individualist orthodoxy. A rapidly growing body of work suggests that some emotions incorporate external resources and thus extend beyond the neurophysiological confines of organisms; some even argue that emotions can be socially extended and shared by multiple agents. Call this the extended emotions thesis. In this article, we consider different ways of understanding ExE in philosophy, psychology, and the (...) cognitive sciences. First, we outline the background of the debate and discuss different argumentative strategies for ExE. In particular, we distinguish ExE from cognate but more moderate claims about the embodied and situated nature of cognition and emotion. We then dwell upon two dimensions of ExE: emotions extended by material culture and by the social factors. We conclude by defending ExE against some objections and point to desiderata for future research. (shrink)

In “The Child’s Relations with Others,” Merleau-Ponty argues that certain early experiences are jointly owned in that they are numerically single experiences that are nevertheless given to more than one subject (e.g., the infant and caregiver). Call this the “joint ownership thesis” (JT). Drawing upon both Merleau-Ponty’s phenomenological analysis, as well as studies of exogenous attention and mutual affect regulation in developmental psychology, I motivate the plausibility of JT. I argue that the phenomenological structure of some early infant–caregiver dyadic exchanges (...) is best described as involving joint subjects. From birth, some experiences are constitutively social in that certain phenomenal states, such as the positive emotions that arise within these early exchanges, are jointly owned. Along the way, I consider a possible objection. I conclude by considering the explanatory significance of adopting JT. (shrink)

In recent years, a number of authors have started studying Aristotelian diagrams containing metalogical notions, such as tautology, contradiction, satisfiability, contingency, strong and weak interpretations of contrariety, etc. The present paper is a contribution to this line of research, and its main aims are both to extend and to deepen our understanding of metalogical diagrams. As for extensions, we not only study several metalogical decorations of larger and less widely known Aristotelian diagrams, but also consider metalogical decorations of another type (...) of logical diagrams, viz. duality diagrams. At a more fundamental level, we present a unifying perspective which sheds new light on the connections between new and existing metalogical diagrams, as well as between object- and metalogical diagrams. Overall, the paper studies two types of logical diagrams and four kinds of metalogical decorations. (shrink)

The extended mind thesis (EM) asserts that some cognitive processes are (partially) composed of actions consisting of the manipulation and exploitation of environmental structures. Might some processes at the root of social cognition have a similarly extended structure? In this paper, I argue that social cognition is fundamentally an interactive form of space management—the negotiation and management of ‘‘we-space”—and that some of the expressive actions involved in the negotiation and management of we-space (gesture, touch, facial and whole-body expressions) drive basic (...) processes of interpersonal understanding and thus do genuine social-cognitive work. Social interaction is a kind of extended social cognition, driven and at least partially constituted by environmental (non-neural) scaffolding. Challenging the Theory of Mind paradigm, I draw upon research from gesture studies, developmental psychology, and work on Moebius Syndrome to support this thesis. (shrink)

One of the leading cognitive models of auditory verbal hallucinations (AVHs) proposes such experiences result from a disturbance in the process by which inner speech is attributed to the self. Research in this area has, however, proceeded in the absence of thorough cognitive and phenomenological investigations of the nature of inner speech, against which AVHs are implicitly or explicitly defined. In this paper we begin by introducing philosophical phenomenology and highlighting its relevance to AVHs, before briefly examining the evolving literature (...) on the relation between inner experiences and AVHs. We then argue for the need for philosophical phenomenology (Phenomenology) and the traditional empirical methods of psychology for studying inner experience (phenomenology) to mutually inform each other to provide a richer and more nuanced picture of both inner experience and AVHs than either could on its own. A critical examination is undertaken of the leading model of AVHs derived from phenomenological philosophy, the ipseity disturbance model. From this we suggest issues that future work in this vein will need to consider, and examine how interdisciplinary methodologies may contribute to advances in our understanding of AVHs. Detailed suggestions are made for the direction and methodology of future work into AVHs, which we suggest should be undertaken in a context where phenomenology and physiology are both necessary, but neither sufficient. (shrink)

The paper examines Schopenhauer’s complex diagrams from the Berlin Lectures of the 1820 s, which show certain partitions of classes. Drawing upon ideas and techniques from logical geometry, we show that Schopenhauer’s partition diagrams systematically give rise to a special type of Aristotelian diagrams, viz. (strong) α -structures.

This paper studies the Lockean thesis from the perspective of contemporary epistemic logic. The Lockean thesis states that belief can be defined as ‘sufficiently high degree of belief’. Its main problem is that it gives rise to a notion of belief which is not closed under conjunction. This problem is typical for classical epistemic logic: it is single-agent and static. I argue that from the perspective of contemporary epistemic logic, the Lockean thesis fares much better. I briefly mention that it (...) can successfully be extended from single-agent to multi-agent settings. More importantly, I show that accepting the Lockean thesis (and a more sophisticated version for conditional beliefs) leads to a significant and unexpected unification in the dynamic behavior of (conditional) belief and high (conditional) probability with respect to public announcements. This constitutes a methodological argument in favor of the Lockean thesis. Furthermore, if one accepts Baltag’s Erlangen program for epistemology, this technical observation has even stronger philosophical implications: because belief and high probability display the same dynamic behavior, it is plausible that they are indeed one and the same epistemic notion. (shrink)

In addiction, apparently causally significant phenomena occur at a huge number of levels; addiction is affected by biomedical, neurological, pharmacological, clinical, social, and politico-legal factors, among many others. In such a complex, multifaceted field of inquiry, it seems very unlikely that all the many layers of explanation will prove amenable to any simple or straightforward, reductive analysis; if we are to unify the many different sciences of addiction while respecting their causal autonomy, then, what we are likely to need is (...) an integrative framework. In this paper, we propose the theory of “Externalist” or “4E” – for extended, embodied, embedded, and enactive – cognition, which focuses on the empirical and conceptual centrality of the wider extra-neural environment to cognitive and mental processes, as a candidate for such a framework. We begin in Section 2 by outlining how such a perspective might apply to psychiatry more generally, before turning to some of the ways it can illuminate addiction in particular: Section 3 points to a way of dissolving the classic dichotomy between the “choice model” and “disease model” in the addiction literature; Section 4 shows how 4E concepts can clarify the interplay between the addict’s brain and her environment; and Section 5 considers how these insights help to explain the success of some recovery strategies, and may help to inform the development of new ones. (shrink)

Although enactive approaches to cognition vary in terms of their character and scope, all endorse several core claims. The first is that cognition is tied to action. The second is that cognition is composed of more than just in-the-head processes; cognitive activities are externalized via features of our embodiment and in our ecological dealings with the people and things around us. I appeal to these two enactive claims to consider a view called “direct social perception” : the idea that we (...) can sometimes perceive features of other minds directly in the character of their embodiment and environmental interactions. I argue that if DSP is true, we can probably also perceive certain features of mental disorders as well. I draw upon the developmental psychologist Daniel Stern’s notion of “forms of vitality”—largely overlooked in these debates—to develop this idea, and I use autism as a case study. I argue further that an enactive approach to DSP can clarify some ways we play a regulative role in shaping the temporal and phenomenal character of the disorder in question, and it may therefore have practical significance for both the clinical and therapeutic encounter. (shrink)

I use critical phenomenological resources in Tetsurō Watsuji and Sarah Ahmed to explore the spatial origin of some social impairments in Autistic Spectrum Disorder (ASD). I argue that a critical phenomenological perspective puts pressure on the idea that social impairments in ASD are exclusively (or even primarily) neurocognitive deficits that can be addressed by focusing on cognitive factors internal to the autistic person — for example, training them to adopt a more neurotypical approach to social cognition. Instead, I argue that (...) the structure and character of some neurotypical spaces may play a regulative role in shaping aspects of at least some of the social impairments autistic people exhibit when they inhabit these spaces. I also briefly consider some possible therapeutic applications of this critical phenomenological approach. (shrink)

Law is an ontologically ideal entity. This feature shall be explored in order to explain why law cannot be perceived by the senses, why its contents can remain constant over time, why it can in principle be translated and why it does not have a dual nature. Due to law’s ontologically ideal nature it is independent from time and space, normative in kind and open for rational arguments. Although law can in many regards be abstract, its ontologically ideal nature has (...) to be distinguished from abstractness. (shrink)

We construct a model in which there is a strongly compact cardinal κ such that the set $S(\kappa,\kappa ^{+})=\{a\in P_{\kappa}\kappa ^{-}\colon o,t(a)=(a\cap \kappa)^{+}\})$ is non-stationary.

For a set M, let \\) denote the set of all finite sequences which can be formed with elements of M, and let \ denote the set of all 2-element subsets of M. Furthermore, for a set A, let Open image in new window denote the cardinality of A. It will be shown that the following statement is consistent with Zermelo–Fraenkel Set Theory \: There exists a set M such that Open image in new window and no function Open image (...) in new window is finite-to-one. (shrink)

Affordances are action-possibilities, ways of relating to and acting on things in our world. They help us understand how these things mean what they do and how we have bodily access to our world more generally. But what happens when this access is ruptured or impeded? I consider this question in the context of psychopathology and reports that describe this experience. I argue that thinking about the bodily consequences of losing access to everyday affordances can help us better understand these (...) reports. An affordance-based approach to psychopathology can illuminate some of the causes, as well as the experiential character and consequences, of affective disorders and diminished spatial agency in self-world disturbances. It also highlights some under-explored ethical and political dimensions of these issues that need further attention. (shrink)

Loneliness is a near-universal experience. It is particularly common for individuals with (so-called) psychopathological conditions or disorders. In this paper, we explore the experiential character of loneliness, with a specific emphasis on how social goods are experienced as absent in ways that involve a diminished sense of agency and recognition. We explore the role and experience of loneliness in three case studies: depression, anorexia nervosa, and autism. We demonstrate that even though experiences of loneliness might be common to many psychopathologies, (...) these experiences nevertheless have distinctive profiles. Specifically, we suggest that: (i) loneliness is often a core characteristic of depressive experience; (ii) loneliness can drive, and even cement, disordered eating practices and anorectic identity in anorexia nervosa; iii) loneliness is neither a core characteristic of autism nor a driver but is rather commonly experienced as stemming from social worlds, environments, and norms that fail to accommodate autistic bodies and their distinctive forms of life. We aim to do justice to the pervasiveness of loneliness in many — if not all — psychopathologies, while also highlighting the need to attend to psychopathology-specific experiences of loneliness, agency, and (non-)recognition. (shrink)

I defend a model of the musically extended mind. I consider how acts of “musicking” grant access to novel emotional experiences otherwise inaccessible. First, I discuss the idea of “musical affordances” and specify both what musical affordances are and how they invite different forms of entrainment. Next, I argue that musical affordances – via soliciting different forms of entrainment – enhance the functionality of various endogenous, emotiongranting regulative processes, drawing novel experiences out of us with an expanded complexity and phenomenal (...) character. I argue that music therefore ought to be thought of as part of the vehicle needed to realize these emotional experiences. I appeal to different sources of empirical work to develop this idea. (shrink)

In this paper we characterize the body as constitutively open. We fi rst consider the notion of bodily openness at the basic level of its organic constitution. This will provide us a framework relevant for the understanding of the body open to its intersubjective world. We argue that the notion of “bodily openness” captures a constitutive dimension of intersubjectivity. Generally speaking, there are two families of theories intending to characterize the constitutive relation between subjectivity and intersubjectivity: either the self is (...) considered as being constituted prior to, and as a condition of, its potential relation to the outside world, or, contrastively, the self is considered as being constituted as a result of its relations with the outside world. Here, we pursue a conciliatory path, as we intend to show that these two positions are not necessarily in opposition to each other. But how can selfhood/subjectivity be both and at the same time primary and secondary, relative to otherness/ intersubjectivity? Stated thusly, the question seems to border on incoherence but our intention here is to reconsider it in a framework that allows for the dissolution of this opposition. In particular, we will characterize the relational autonomy of the self : neither fully enclosed “inside” nor fully dissolved in or determined by what’s “outside”, the bodily self is best characterized by its fundamental “openness”, which we will explore in a framework where autonomy and relationality are not contradictory but co-constitutive dimensions. (shrink)

If we assume the axiom of choice, then every two cardinal numbers are comparable, In the absence of the axiom of choice, this is no longer so. For a few cardinalities related to an arbitrary infinite set, we will give all the possible relationships between them, where possible means that the relationship is consistent with the axioms of set theory. Further we investigate the relationships between some other cardinal numbers in specific permutation models and give some results provable without using (...) the axiom of choice. (shrink)

For \(n\in \omega \), the weak choice principle \(\textrm{RC}_n\) is defined as follows: _For every infinite set_ _X_ _there is an infinite subset_ \(Y\subseteq X\) _with a choice function on_ \([Y]^n:=\{z\subseteq Y:|z|=n\}\). The choice principle \(\textrm{C}_n^-\) states the following: _For every infinite family of_ _n_-_element sets, there is an infinite subfamily_ \({\mathcal {G}}\subseteq {\mathcal {F}}\) _with a choice function._ The choice principles \(\textrm{LOC}_n^-\) and \(\textrm{WOC}_n^-\) are the same as \(\textrm{C}_n^-\), but we assume that the family \({\mathcal {F}}\) is linearly orderable (...) (for \(\textrm{LOC}_n^-\) ) or well-orderable (for \(\textrm{WOC}_n^-\) ). In the first part of this paper, for \(m,n\in \omega \) we will give a full characterization of when the implication \(\textrm{RC}_m\Rightarrow \textrm{WOC}_n^-\) holds in \({\textsf {ZF}}\). We will prove the independence results by using suitable Fraenkel-Mostowski permutation models. In the second part, we will show some generalizations. In particular, we will show that \(\textrm{RC}_5\Rightarrow \textrm{LOC}_5^-\) and that \(\textrm{RC}_6\Rightarrow \textrm{C}_3^-\), answering two open questions from Halbeisen and Tachtsis (Arch Math Logik 59(5):583–606, 2020). Furthermore, we will show that \(\textrm{RC}_6\Rightarrow \textrm{C}_9^-\) and that \(\textrm{RC}_7\Rightarrow \textrm{LOC}_7^-\). (shrink)

This paper explores the interplay between logic-sensitivity and bitstring semantics in the square of opposition. Bitstring semantics is a combinatorial technique for representing the formulas that appear in a logical diagram, while logic-sensitivity entails that such a diagram may depend, not only on the formulas involved, but also on the logic with respect to which they are interpreted. These two topics have already been studied extensively in logical geometry, and are thus well-understood by themselves. However, the precise details of their (...) interplay turn out to be far more complicated. In particular, the paper describes an elegant and natural interaction between bitstrings and logic-sensitivity, which makes perfect sense when bitstrings are viewed as purely combinatorial entities. However, when we view bitstrings as semantically meaningful entities (which is actually the standard perspective, cf. the term ‘bitstring semantics’!), this interaction does not seem to have a full and equally natural counterpart. The paper describes some attempts to address this situation, but all of them are ultimately found wanting. For now, it thus remains an open problem to capture this interaction between bitstrings and logic-sensitivity from a semantic (rather than merely a combinatorial) perspective. (shrink)

Preface to Volumes 1 and 2 Lorenz Krüger xv Introduction to Volume 1 Lorraine J. Daston 1 I Revolution 1 What Are Scientific Revolutions? Thomas S. Kuhn 7 2 Scientific Revolutions, Revolutions in Science, and a Probabilistic Revolution 1800-1930 I. Bernard Cohen 23 3 Was There a Probabilistic Revolution 1800-1930? Ian Hacking 45 II Concepts 4 The Slow Rise of Probabilism: Philosophical Arguments in the Nineteenth Century Lorenz Krüger 59 5 The Decline of the Laplacian Theory of Probability: (...) A Study of Stumpf, von Kries, and Meinong Andreas Kamlah 91 6 Fechner’s Indeterminism: From Freedom to Laws of Chance Michael Heidelberger 117 7 The Saint Petersburg Paradox 1713-1937 Gerard Jorland 157 8 Laplace and Thereafter: The Status of Probability Calculus in the Nineteenth Century Ivo Schneider 191 9 Emile Borel as a Probabilist Eberhard Knobloch 215 III Uncertainty 10 The Domestication of Risk: Mathematical Probability and Insurance 1650-1830 237 11 The Objectification of Observation: Measurement and Statistical Methods in the Nineteenth Century Zeno G. Swijtink 261 12 The Measurement of Uncertainty in Nineteenth-Century Social Science Stephen M. Stigler 287 IV Society 13 Rational Individuals versus Laws of Society: From Probability to Statistics Lorraine J. Daston 295 14 Decrire, Compter, Calculer: The Debate over Statistics during the Napoleonic Period Marie-Noelle Bourguet 305 15 Probability in Vital and Social Statistics: Quetelet, Farr, and the Bertillons Bernard-Pierre Lécuyer 317 16 Paupers and Numbers: The Statistical Argument for Social Reform in Britain during the Period of Industrialization Karl H. Metz 337 17 Lawless Society: Social Science and the Reinterpretation of Statistics in Germany, 1850-1880 Theodore M. Porter 351 18 Prussian Numbers 1860-1882 Ian Hacking 377 19 How Do Sums Count? On the Cultural Origins of Statistical Causality M. Norton Wise 395. (shrink)

For an integer \, Ramsey Choice\ is the weak choice principle “every infinite setxhas an infinite subset y such that\ has a choice function”, and \ is the weak choice principle “every infinite family of n-element sets has an infinite subfamily with a choice function”. In 1995, Montenegro showed that for \, \. However, the question of whether or not \ for \ is still open. In general, for distinct \, not even the status of “\” or “\” is known. (...) In this paper, we provide partial answers to the above open problems and among other results, we establish the following:1.For every integer \, if \ is true for all integers i with \, then \ is true for all integers i with \.2.If \ are any integers such that for some prime p we have \ and \, then in \: \ and \.3.For \, \\\ implies \, and \ implies neither \ nor \ in \.4.For every integer \, \ implies “every infinite linearly orderable family of k-element sets has a partial Kinna–Wagner selection function” and the latter implication is not reversible in \ ). In particular, \ strictly implies “every infinite linearly orderable family of 3-element sets has a partial choice function”.5.The Chain-AntiChain Principle implies neither \ nor \ in \, for every integer \. (shrink)

This paper is an exploration of how we do things with music—that is, the way that we use music as an esthetic technology to enact micro-practices of emotion regulation, communicative expression, identity construction, and interpersonal coordination that drive core aspects of our emotional and social existence. The main thesis is: from birth, music is directly perceived as an affordance-laden structure. Music, I argue, affords a sonic world, an exploratory space or nested acoustic environment that further affords possibilities for, among other (...) things, (1) emotion regulation and (2) social coordination. When we do things with music, we are engaged in the work of creating and cultivating the self, as well as creating and cultivating a shared world that we inhabit with others. I develop this thesis by first introducing the notion of a musical affordance . Next, I look at how emotional affordances in music are exploited to construct and regulate emotions. I summon empirical research on neonate music therapy to argue that this is something we emerge from the womb knowing how to do. I then look at social affordances in music, arguing that joint attention to social affordances in music alters how music is both perceived and appropriated by joint attenders within social listening contexts. In support, I describe the experience of listening to and engaging with music in a live concert setting. Thinking of music as an affordance-laden structure thus reaffirms the crucial role that music plays in constructing and regulating emotional and social experiences in everyday life. (shrink)