This article highlights and evaluates the role of CEPI and its contribution to global equitable access to COVID-19 vaccines through its established partnerships for vaccine development. The article adds to the understanding of how and when such partnerships can work for public health, especially under emergency citations.

Anthropogenic climate change is causing temperature rise in temperate zones resulting in climate conditions more similar to subtropical zones. As a result, rising temperatures increase the range of disease-carrying insects to new areas outside of subtropical zones, and increased precipitation causes flooding that is more hospitable for vector breeding. State governments, the federal government, and governmental agencies, like the Animal and Plant Health Inspection Service of USDA and the National Notifiable Disease Surveillance System of the U.S. Centers for Disease Control (...) and Prevention, lack a coordinated plan for vector-borne disease accompanying climate change. APHIS focuses its surveillance primarily on the effect of illness on agricultural production, while NNDSS focuses on the emergence of pathogens affecting human health. This article provides an analysis of the current framework of surveillance of, and response to, vector-borne infectious diseases, the impacts of climate change on the spread of vector-borne infectious diseases, and recommends changes to federal law to address these threats. (shrink)

Americans are increasingly turning to hospice services to provide them with medical care, pain management, and emotional support at the end of life. The increase in the rates of hospice utilization is explained by a number of factors including a “hospice movement” dating to the 1970s which emphasized hospice as a tool to promote dignity for the terminally ill; coverage of hospice services by Medicare beginning in 1983; and, the market for hospice services provision, sustained almost entirely by governmental reimbursement. (...) On the one hand, the growing acceptance of hospice may be seen as a sign of trends giving substance to the death-with-dignity movement and the growing strength of end-of-life decision-makers and planners who integrate medical, community, family and spiritual networks. On the other hand, the precise relationship between the death-with-dignity and commercial processes driving hospice utilization rates are not well understood. On May 2, 2013, the U.S. Government intervened in a lawsuit brought by former hospice employees alleging that behind Vitas Innovative Hospice Care, the largest for-profit hospice service provider in the United States, lie an intricate web of incentives for patient intake nurses, physicians and marketers which not only drove hospice patients to use more expensive crisis care services, but influenced patient and family decisions as to whether or not to discontinue curative treatment. The corporate, investment, and regulatory history behind Vitas provides an important insight into the market realities behind Americans' embrace of hospice care and the risks to patient autonomy and health that accompany the commercialization of this ethically and morally complex health care service. (shrink)

Hospice care in the United States has undergone a remarkable transformation since it assumed its modern form in the late 1960s. It began as a movement driven by small organizations staffed with many volunteer providers focusing on comprehensive spiritual, palliative, and mental health services for a relatively small number of terminally ill patients, typically suffering from cancer. The idea behind hospice during its early days was that a terminally patient and his or her family made a decision to focus on (...) easing a patient’s pain and anxiety, making him or her more comfortable, rather than pursuing additional curative treatment. Because these objectives required a wide range of professional and non-professional skills, hospice care involved not only physicians and nurses, but clergy, social workers, volunteer caretakers, homemakers, and, of course, family members. The process of decision-making by the patient and his or her family was never uniform and never systematically studied. (shrink)

This article analyzes the relationship between the structure of federal Title IX investigations and the existing evidence addressing the emotional and mental health needs of sexual harassment and sexual assault victims. The article argues that federal requirements for investigating sexual harassment should be restructured so as to address the challenges stigma poses for the realization of Title IX's objectives.

The COVID-19 Law Lab platform enables quantitative representation of epidemic law and policies in a given country for multiple years, enabling governments and researchers to compare countries, and learn about the impacts and drivers of policy choices. The Law Lab initiative is designed to address the urgent need for quality legal information to support the study of how law and policy can be used to effectively manage this, and future, pandemic(s).

The Global Health Security Agenda (GHSA) is a multilateral, multisectoral partnership comprised of more than 70 countries, international organizations, foundations, and businesses to strengthen global health security.

Two important questions arise concerning the properties that constitute the phenomenal characters of our experiences: first, where these properties exist, and, second, whether they are tied to our consciousness of them. Such properties can either exist externally to the perceiving subject, or internally to her. This article argues that phenomenal characters, and specifically the phenomenal characters of colours, may exist independently of consciousness and that they are internal to the subject. We defend this combination of claims against a recent criticism (...) according to which the unconscious phenomenal character of colours exists externally to the subject. We defend internalism about (potentially unconscious) phenomenal character by appealing to recent neuroscientific and behavioural evidence, and by rejecting the claim that externalism about phenomenal character is dialectically in a better position than internalism. In addition, we briefly present certain difficulties for externalist views of phenomenal character. These concern cases where the perceptual relation fails, but a perceptual experience still results. These points suffice to defuse the externalist critique of our view, and support the internalist variant of the consciousness-independence claim as the most plausible account of the unconscious phenomenal character of colours. (shrink)

There are two kinds of time-bias: near-bias and future-bias. While philosophers typically hold that near-bias is rationally impermissible, many hold that future-bias is rationally permissible. Call this normative hybridism. According to arbitrariness objections, certain patterns of preference are rationally impermissible because they are arbitrary. While arbitrariness objections have been levelled against both near-bias and future-bias, the kind of arbitrariness in question has been different. In this paper we investigate whether there are forms of arbitrariness that are common to both kinds (...) of preferences, and hence whether there are versions of the arbitrariness objection that are objections both to near-bias and future-bias. If there are, then this might go some way towards undermining normative hybridism and to defending a thorough-going time-neutralism. (shrink)

The business of cognitive therapy is to transform meanings. What better way to achieve this than through a metaphor? Metaphors straddle two different domains at once, providing a conceptual bridge from a problematic interpretation to a fresh new perspective that can cast one's experiences in a new light. Even the simplest metaphor can be used again and again with different clients, yet still achieve the desired effect. This book is the first to show just how metaphors can be used productively (...) in CBT as an integral part of the treatment. It describes the use of metaphors for a wide range of problems, including anxiety and depression, and provides countless examples of metaphors that have been used by others in CBT. It brings together in one place hundreds of metaphors that experienced therapists have used to great success. It will be a valuable sourcebook for all cognitive behaviour therapists, as well as those training in CBT. (shrink)

Against the backdrop of cultural and political ideals, this article highlights both the significance of mental health nursing in meeting population needs and the regulatory barriers that may be impeding its ability to adequately do so. Specifically, we consider how ambiguous notions of ‘proficiency’ in nurse education—prescribed by the regulator—impact the development of future mental health nurses and their mental health nursing identity. A key tension in mental health practice is the ethical‐legal challenges posed by sanctioned powers to restrict patients' (...) freedom at the same time as the desire (and obligation) to promote patients' self‐determined recovery. The genericism of the UK's Future Nurse Standards do little to prepare mental health nurses to navigate the tensions that ensue. This has consequences for nurses and patients alike, as both risk experiencing the distress and dissonance that attends giving or receiving poor care. We argue that more needs to be done to enable mental health nurses to define and articulate the nuances of the profession as part of becoming critical, thoughtful and confident practitioners. Educators can contribute to this mission by aligning curriculum, pedagogy and assessment to create meaningful opportunities for mental health nursing students to engage with the complexities of mental health nursing practice. Without this, the credibility of the profession will continue to be questioned; its future uncertain. (shrink)

This research explores temporal concept drift and temporal alignment in knowledge organization systems. A comparative analysis is pursued using the 1910 Library of Congress Subject Headings, 2020 FAST Topical, and automatic indexing. The use case involves a sample of 90 nineteenth-century Encyclopedia Britannica entries. The entries were indexed using two approaches: 1) full-text indexing; 2) Named Entity Recognition was performed upon the entries with Stanza, Stanford’s NLP toolkit, and entities were automatically indexed with the Helping Interdisciplinary Vocabulary application, using both (...) 1910 LCSH and FAST Topical. The analysis focused on three goals: 1) identifying results that were exclusive to the 1910 LCSH output; 2) identifying terms in the exclusive set that have been deprecated from the contemporary LCSH, demonstrating temporal concept drift; and 3) exploring the historical significance of these deprecated terms. Results confirm that historical vocabularies can be used to generate anachronistic subject headings representing conceptual drift across time in KOS and historical resources. A methodological contribution is made demonstrating how to study changes in KOS over time and improve the contextualization historical humanities resources. (shrink)

Despite the prevalence of beliefs across religions regarding repentance and divine forgiveness and their recognition in theoretical and religious studies, these constructs are relatively understudied phenomena in the social sciences. Furthermore, in recent years, multiple scholars have argued for the need for research to systematically study and highlight the experience and processes of repentance and divine forgiveness. Subsequently, this study explored processes of repentance, antecedents and motivations of repentance, resources to aid in repentance, and outcomes of repentance that should be (...) further examined. This analysis was done using in-depth qualitative interviews with 15 emerging adult religious exemplars identifying with the Church of Jesus Christ of Latter-day Saints. The authors used NVivo 12 and team-based qualitative coding processes to identify themes. Repentance processes included personal change, took various lengths of time, were a part of participants’ religious identity, were recurrent processes, and were influenced by participants’ view of God. Antecedents and motivations included religious practices and rituals, emotions, interpersonal interactions, and their relationship with God. Resources that aided in repentance included religious practices and rituals, interpersonal relationships, and a relationship with God. Finally, participants reported experiencing personal changes in their behavior and character, positive emotions (including feelings of divine forgiveness), improved interpersonal relationships, and a better relationship with God. These processes align with some previously discovered and theorized findings on repentance, contribute a number of novel findings, and offer future direction regarding the motivations, resources, and transformative experiences that participants reported in their personal repentance and experience of forgiveness. (shrink)

Intellectual humility, which entails openness to other views and a willingness to listen and engage with them, is crucial for facilitating civil dialogue and progress in debate between opposing sides. In the present research, we tested whether intellectual humility can be reliably detected in discourse and experimentally increased by a prior self-affirmation task. Three-hundred and three participants took part in 116 audio and video-recorded group discussions. Blind to condition, linguists coded participants’ discourse to create an intellectual humility score. As expected, (...) the self-affirmation task increased the coded intellectual humility, as well as participants’ self-rated prosocial affect (e.g., empathy). Unexpectedly, the effect on prosocial affect did not mediate the link between experimental condition and intellectual humility in debate. Self-reported intellectual humility and other personality variables were uncorrelated with expert-coded intellectual humility. Implications of these findings for understanding the social psychological mechanisms underpinning intellectual humility are considered. (shrink)

This article explores the process of teaching Christian theological ethics beyond the common focus on European and North American sources. In conversation with moves to decolonise university curricula, the article proposes a theology of listening, an example of a research seminar for master’s and doctoral students at the University of Aberdeen on Christian ethics beyond Europe and North America, and an exploration of broader challenges for the formation of the theologian. The article asks, what can we learn when we give (...) up power and control when teaching and learning theology? How can we shift our methods of knowing and practising theology? We write as theologians from India, Mexico, and the United States living in the United Kingdom. We reflect on forms of exclusion in theological method and formation that arise from colonising, systemic violence, and inequalities. The article considers intercultural challenges when encountering different methods of reflection on the Christian experience. In a search for a more profoundly theological approach, we propose listening to the other as integral to doing theology. In an intercultural move, we draw on Dietrich Bonhoeffer's theology of listening, proposing that theology must be an advent of voices from beyond our usual places and methods. (shrink)

Parental reading to young children is well-established as being positively associated with child cognitive development, particularly their language development. Research indicates that a particular, “intersubjective,” form of using books with children, “Dialogic Book-sharing”, is especially beneficial to infants and pre-school aged children, particularly when using picture books. The work on DBS to date has paid little attention to the theoretical and empirical underpinnings of the approach. Here, we address the question of what processes taking place during DBS confer benefits to (...) child development, and why these processes are beneficial. In a novel integration of evidence, ranging from non-human primate communication through iconic gestures and pointing, archaeological data on Pre-hominid and early human art, to experimental and naturalistic studies of infant attention, cognitive processing, and language, we argue that DBS entails core characteristics that make it a privileged intersubjective space for the promotion of child cognitive and language development. This analysis, together with the findings of DBS intervention studies, provides a powerful intellectual basis for the wide-scale promotion of DBS, especially in disadvantaged populations. (shrink)

Bestselling author Sam Harris dismantles the most common justification for religious faith-that a moral system cannot be based on science.

In this enlightening book, Sam Harris argues that free will is an illusion but that this truth should not undermine morality or diminish the importance of social and political freedom; indeed, this truth can and should change the way we think about some of the most important questions in life.

Sam Harris dismantles the most common justification for religious faith--that a moral system cannot be based on science.

Inquiry aims at knowledge. Your inquiry into a question succeeds just in case you come to know the answer. However, combined with a common picture on which misleading evidence can lead knowledge to be lost, this view threatens to recommend a novel form of dogmatism. At least in some cases, individuals who know the answer to a question appear required to avoid evidence bearing on it. In this paper, we’ll aim to do two things. First, we’ll present an argument for (...) this novel form of dogmatism and show that it presents a substantive challenge. Second, we’ll consider a way those who take knowledge to be the aim of inquiry can mount a response. In the course of doing so, we’ll try to get clearer on the normative connections between inquiry, knowledge and evidence gathering. (shrink)

Stochastic dynamical reduction for the case of spin-z measurement of a spin-1/2 particle describes a random walk on the spin-z axis. The measurement’s result depends on which of the two points: spin-z=±ħ/2 is reached first. Born’s rule is recovered as long as the expected step size in spin-z is independent of proximity to endpoints. Here, we address the questions raised by this description: (1) When is collapse triggered, and what triggers it? (2) Why is the expected step size in spin-z (...) (as opposed to polar angle) independent of proximity to endpoints? (3) Why does spin “lock” in the vertical directions? The difficulties associated with (1) are rooted, as is Bell’s theorem, in the time-asymmetric assumption that the present distribution over hidden variables is independent of future settings. We believe, a priori of any of the experiments of modern physics, that such a time-asymmetric assumption is dubious when probing the microscopic scale. As for (2) and (3), they are simultaneously resolved by abandoning the fundamental distinction drawn between spin and spatial angular momentum, and by appealing to very tiny (in both magnitude and spatial extent) but numerous patches of magnetic noise in the Stern-Gerlach’s field. (shrink)

We develop a new version of the causal theory of spacetime. Whereas traditional versions of the theory seek to identify spatiotemporal relations with causal relations, the version we develop takes causal relations to be the grounds for spatiotemporal relations. Causation is thus distinct from, and more basic than, spacetime. We argue that this non-identity theory, suitably developed, avoids the challenges facing the traditional identity theory.

Think of a number, any number, or properties like fragility and humanity. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive critical assessment of the problems raised (...) by abstract entities and the debates about existence, truth, and knowledge that surround them. It sets out the key issues that inform the metaphysical disagreement between platonists who accept abstract entities and nominalists who deny abstract entities exist. Beginning with the essentials of the platonist–nominalist debate, it explores the key arguments and issues informing the contemporary debate over abstract reality: arguments for platonism and their connections to semantics, science, and metaphysical explanation the abstract–concrete distinction and views about the nature of abstract reality epistemological puzzles surrounding our knowledge of mathematical entities and other abstract entities. arguments for nominalism premised upon concerns about paradox, parsimony, infinite regresses, underdetermination, and causal isolation nominalist options that seek to dispense with abstract entities. Including chapter summaries, annotated further reading, and a glossary, _Entities_ is essential reading for anyone seeking a clear and authoritative introduction to the problems raised by abstract entities. (shrink)

The distinction between perception and cognition frames countless debates in philosophy and cognitive science. But what, if anything, does this distinction actually amount to? In this introductory article, we summarize recent work on this question. We first briefly consider the possibility that a perception-cognition border should be eliminated from our scientific ontology, and then introduce and critically examine five positive approaches to marking a perception–cognition border, framed in terms of phenomenology, revisability, modularity, format, and stimulus-dependence.

Two challenges that face popular self-monitoring theories (SMTs) of auditory verbal hallucination (AVH) are that they cannot account for the auditory phenomenology of AVHs and that they cannot account for their variety. In this paper I show that both challenges can be met by adopting a predictive processing framework (PPF), and by viewing AVHs as arising from abnormalities in predictive processing. I show how, within the PPF, both the auditory phenomenology of AVHs, and three subtypes of AVH, can be accounted (...) for. (shrink)

Introduction : time, film, and the ethical vision of Emmanuel Levinas. American transcendence : Levinas and a short history of an American idea in film -- Frank Capra and James Stewart : time, transcendence, and the other -- The changing face of American redemption : Henry Fonda, Marilyn Monroe, Paul Newman, and Denzel Washington -- Sex, art, and Oedipus : The unbearable lightness of being -- Fellini and La dolce vita : documentary, decadence, and desire -- Antonioni and L'avventura : (...) transcendence, the body, and the feminine. (shrink)

Inquiry aims at knowledge. Your inquiry into a question succeeds just in case you come to know the answer. However, combined with a common picture on which misleading evidence can lead knowledge to be lost, this view threatens to recommend a novel form of dogmatism. At least in some cases, individuals who know the answer to a question appear required to avoid evidence bearing on it. In this paper, we’ll aim to do two things. First, we’ll present an argument for (...) this novel form of dogmatism and show that it presents a substantive challenge. Second, we’ll consider a way those who take knowledge to be the aim of inquiry can mount a response. In the course of doing so, we’ll try to get clearer on the normative connections between inquiry, knowledge and evidence gathering. (shrink)

On a now orthodox view, humans and many other animals possess a “number sense,” or approximate number system, that represents number. Recently, this orthodox view has been subject to numerous critiques that question whether the ANS genuinely represents number. We distinguish three lines of critique – the arguments from congruency, confounds, and imprecision – and show that none succeed. We then provide positive reasons to think that the ANS genuinely represents numbers, and not just non-numerical confounds or exotic substitutes for (...) number, such as “numerosities” or “quanticals,” as critics propose. In so doing, we raise a neglected question: numbers of what kind? Proponents of the orthodox view have been remarkably coy on this issue. But this is unsatisfactory since the predictions of the orthodox view, including the situations in which the ANS is expected to succeed or fail, turn on the kind of number being represented. In response, we propose that the ANS represents not only natural numbers, but also non-natural rational numbers. It does not represent irrational numbers, however, and thereby fails to represent the real numbers more generally. This distances our proposal from existing conjectures, refines our understanding of the ANS, and paves the way for future research. (shrink)

I argue that analogue mental representations possess a canonical decomposition into privileged constituents from which they compose. I motivate this suggestion, and rebut arguments to the contrary, through reflection on the approximate number system, whose representations are widely expected to have an analogue format. I then argue that arguments for the compositionality and constituent structure of these analogue representations generalize to other analogue mental representations posited in the human mind, such as those in early vision and visual imagery.

What exactly are comics? Can they be art, literature, or even pornography? How should we understand the characters, stories, and genres that shape them? Thinking about comics raises a bewildering range of questions about representation, narrative, and value. Philosophy of Comics is an introduction to these philosophical questions. In exploring the history and variety of the comics medium, Sam Cowling and Wesley D. Cray chart a path through the emerging field of the philosophy of comics. Drawing from a diverse range (...) of forms and genres and informed by case studies of classic comics such as Watchmen, Tales from the Crypt, and Fun Home, Cowling and Cray explore ethical, aesthetic, and ontological puzzles, including: -/- - What does it take to create-or destroy-a fictional character like Superman? - Can all comics be adapted into films, or are some comics impossible to adapt? - Is there really a genre of “superhero comics”? - When are comics obscene, pornographic, and why does it matter? -/- At a time of rapidly growing interest in graphic storytelling, this is an ideal introduction to the philosophy of comics and some of its most central and puzzling questions. (shrink)

Formal models of appearance and reality have proved fruitful for investigating structural properties of perceptual knowledge. This paper applies the same approach to epistemic justification. Our central goal is to give a simple account of The Preface, in which justified belief fails to agglomerate. Following recent work by a number of authors, we understand knowledge in terms of normality. An agent knows p iff p is true throughout all relevant normal worlds. To model The Preface, we appeal to the normality (...) of error. Sometimes, it is more normal for reality and appearance to diverge than to match. We show that this simple idea has dramatic consequences for the theory of knowledge and justification. Among other things, we argue that a proper treatment of The Preface requires a departure from the internalist idea that epistemic justification supervenes on the appearances and the widespread idea that one knows most when free from error. (shrink)

Many prominent critiques of philosophical methods proceed by suggesting that some method is unreliable, especially in comparison to some alternative method. In light of this, it may seem natural to conclude that these (comparatively) unreliable methods should be abandoned. Drawing upon work on the division of cognitive labour in science, we argue things are not so straightforward. Rather, whether an unreliable method should be abandoned depends heavily on the crucial question of how we should divide philosophers’ time and effort between (...) different methods, in order to maximise our prospects of achieving epistemic success. We show that, in a range of cases, even a (comparatively) unreliable method deserves to be allocated some of these resources. (shrink)

Jerry Fodor deemed informational encapsulation ‘the essence’ of a system’s modularity and argued that human perceptual processing comprises modular systems, thus construed. Nowadays, his conclusion is widely challenged. Often, this is because experimental work is seen to somehow demonstrate the cognitive penetrability of perceptual processing, where this is assumed to conflict with the informational encapsulation of perceptual systems. Here, I deny the conflict, proposing that cognitive penetration need not have any straightforward bearing on the conjecture that perceptual processing is composed (...) of nothing but informationally encapsulated modules, the conjecture that each and every perceptual computation is performed by an informationally encapsulated module, and the consequences perceptual encapsulation was traditionally expected to have for a perception-cognition border, the epistemology of perception and cognitive science. With these points in view, I propose that particularly plausible cases of cognitive penetration would actually seem to evince the encapsulation of perceptual systems rather than refute/problematize this conjecture. (shrink)

This paper develops an account of pluralities based on the following simple claim: some things are nothing over and above the individual things they comprise. For some, this may seem like a mysterious statement, perhaps even meaningless; for others, like a truism, trivial and inferentially inert. I show that neither reaction is correct: the claim is both tractable and has important consequences for a number of debates in philosophy.

This article introduces a new reflection principle. It is based on the idea that whatever is true in all entities of some kind is also true in a set-sized collection of them. Unlike standard reflection principles, it does not re-interpret parameters or predicates. This allows it to be both consistent in all higher-order languages and remarkably strong. For example, I show that in the language of second-order set theory with predicates for a satisfaction relation, it is consistent relative to the (...) existence of a 2-extendible cardinal (Theorem 7.12) and implies the existence of a proper class of 1-extendible cardinals (Theorem 7.9). (shrink)

In the present article, we review the theory and research on religious deconversion with a focus on adolescence and young adulthood. First, we present the relevant terminology (e.g. religious deconversion, religious disaffiliation, and religious deidentification) and statistical trends (e.g. the prevalence of religious Nones and Dones). We define religious deconversion as any movement away from religion. Religiosity decreases across adolescence and into young adulthood, and these developmental periods also have heightened rates of religious deidentification, at least in many Western cultures. (...) Second, we review the theory and research on processes, predictors, and outcomes of religious deconversion. Deconversion is discussed both in terms of individuals becoming less religious and possibly deidentifying from religion. In terms of processes of deconversion, we discuss various theoretical models and self-expressed reasons for deconversion. Religious deconversion tends to progress in phases, often initiated by religious and spiritual struggles. In terms of predictors, we identify predictors at the level of the individual (e.g. demographics, personality, norm-violating behavior, and dimensions of religiosity), family (e.g. parent and family religiosity, family dynamics such as parenting styles, and religious socialization), peers (e.g. peer religiosity and religious conversations with peers), religious communities (e.g. supportiveness, engagement, and dialogue), formal education, and social media. In line with developmental systems perspectives, religious deconversion is a complex and dynamic process involving numerous individual and contextual factors. In terms of outcomes of deconversion, we identify potential individual and relational outcomes that are considered both negative and positive. Finally, we outlined 10 promising future directions for research on religious deconversion. (shrink)

In his remarkable paper Formalism 64, Robinson defends his eponymous position concerning the foundations of mathematics, as follows:Any mention of infinite totalities is literally meaningless.We should act as if infinite totalities really existed. Being the originator of Nonstandard Analysis, it stands to reason that Robinson would have often been faced with the opposing position that ‘some infinite totalities are more meaningful than others’, the textbook example being that of infinitesimals. For instance, Bishop and Connes have made such claims regarding infinitesimals, (...) and Nonstandard Analysis in general, going as far as calling the latter respectively a debasement of meaning and virtual, while accepting as meaningful other infinite totalities and the associated mathematical framework. We shall study the critique of Nonstandard Analysis by Bishop and Connes, and observe that these authors equate ‘meaning’ and ‘computational content’, though their interpretations of said content vary. As we will see, Bishop and Connes claim that the presence of ideal objects in Nonstandard Analysis yields the absence of meaning. We will debunk the Bishop–Connes critique by establishing the contrary, namely that the presence of ideal objects in Nonstandard Analysis yields the ubiquitous presence of computational content. In particular, infinitesimals provide an elegant shorthand for expressing computational content. To this end, we introduce a direct translation between a large class of theorems of Nonstandard Analysis and theorems rich in computational content, similar to the ‘reversals’ from the foundational program Reverse Mathematics. The latter also plays an important role in gauging the scope of this translation. (shrink)

Reverse mathematics is a program in the foundations of mathematics founded by Friedman and developed extensively by Simpson and others. The aim of RM is to find the minimal axioms needed to prove a theorem of ordinary, that is, non-set-theoretic, mathematics. As suggested by the title, this paper deals with two RM-phenomena, namely, splittings and disjunctions. As to splittings, there are some examples in RM of theorems A, B, C such that A↔, that is, A can be split into two (...) independent parts B and C. As to disjunctions, there are examples in RM of theorems D, E, F such that D↔, that is, D can be written as the disjunction of two independent parts E and F. By contrast, we show in this paper that there is a plethora of splittings and disjunctions in Kohlenbach’s higher-order RM. (shrink)

There is a large literature exploring how accuracy constrains rational degrees of belief. This paper turns to the unexplored question of how accuracy constrains knowledge. We begin by introducing a simple hypothesis: increases in the accuracy of an agent’s evidence never lead to decreases in what the agent knows. We explore various precise formulations of this principle, consider arguments in its favour, and explain how it interacts with different conceptions of evidence and accuracy. As we show, the principle has some (...) noteworthy consequences for the wider theory of knowledge. First, it implies that an agent cannot be justified in believing a set of mutually inconsistent claims. Second, it implies the existence of a kind of epistemic blindspot: it is not possible to know that one’s evidence is misleading. (shrink)