In deductive theorizing using mathematics as our theorizing tool, nature is known to routinely help us discover new empirical truths about itself, whether we want the help or not (“generative phenomenon”). Why? That’s because, I argue, some of our deductive inference rules are themselves of empirical origin, thereby providing nature with a seemingly-trivial but crucial link to our mind’s reason.

Psychiatry is rapidly adopting digital phenotyping and artificial intelligence/machine learning tools to study mental illness based on tracking participants’ locations, online activity, phone and text message usage, heart rate, sleep, physical activity, and more. Existing ethical frameworks for return of individual research results (IRRs) are inadequate to guide researchers for when, if, and how to return this unprecedented number of potentially sensitive results about each participant’s real-world behavior. To address this gap, we convened an interdisciplinary expert working group, supported by (...) a National Institute of Mental Health grant. Building on established guidelines and the emerging norm of returning results in participant-centered research, we present a novel framework specific to the ethical, legal, and social implications of returning IRRs in digital phenotyping research. Our framework offers researchers, clinicians, and Institutional Review Boards (IRBs) urgently needed guidance, and the principles developed here in the context of psychiatry will be readily adaptable to other therapeutic areas. (shrink)

Genomic research results and incidental findings with health implications for a research participant are of potential interest not only to the participant, but also to the participant's family. Yet investigators lack guidance on return of results to relatives, including after the participant's death. In this paper, a national working group offers consensus analysis and recommendations, including an ethical framework to guide investigators in managing this challenging issue, before and after the participant's death.

No consensus yet exists on how to handle incidental fnd-ings in human subjects research. Yet empirical studies document IFs in a wide range of research studies, where IFs are fndings beyond the aims of the study that are of potential health or reproductive importance to the individual research participant. This paper reports recommendations of a two-year project group funded by NIH to study how to manage IFs in genetic and genomic research, as well as imaging research. We conclude that researchers (...) have an obligation to address the possibility of discovering IFs in their protocol and communications with the IRB, and in their consent forms and communications with research participants. Researchers should establish a pathway for handling IFs and communicate that to the IRB and research participants. We recommend a pathway and categorize IFs into those that must be disclosed to research participants, those that may be disclosed, and those that should not be disclosed. (shrink)

Returning genomic research results to family members raises complex questions. Genomic research on life-limiting conditions such as cancer, and research involving storage and reanalysis of data and specimens long into the future, makes these questions pressing. This author group, funded by an NIH grant, published consensus recommendations presenting a framework. This follow-up paper offers concrete guidance and tools for implementation. The group collected and analyzed relevant documents and guidance, including tools from the Clinical Sequencing Exploratory Research Consortium. The authors then (...) negotiated a consensus toolkit of processes and documents. That toolkit offers sample consent and notification documents plus decision flow-charts to address return of results to family of living and deceased participants, in adult and pediatric research. Core concerns are eliciting participant preferences on sharing results with family and on choice of a representative to make decisions about sharing after participant death. (shrink)

Variable responses to transcranial direct current stimulation protocols across individuals are widely reported, but the reasons behind this variation are unclear. This includes tDCS protocols meant to improve attention. Attentional control is impacted by top-down and bottom-up processes, and this relationship is affected by state characteristics such as anxiety. According to Attentional Control Theory, anxiety biases attention towards bottom-up and stimulus-driven processing. The goal of this study was to explore the extent to which differences in state anxiety and related measures (...) affect visual attention and category learning, both with and without the influence of tDCS. Using discovery learning, participants were trained to classify pictures of European streets into two categories while receiving 30 min of 2.0 mA anodal, cathodal, or sham tDCS over the rVLPFC. The pictures were classifiable according to two separate rules, one stimulus and one hypothesis-driven. The Remote Associates Test, Profile of Mood States, and Attention Networks Task were used to understand the effects of individual differences at baseline on subsequent tDCS-mediated learning. Multinomial logistic regression was fit to predict rule learning based on the baseline measures, with subjects classified according to whether they used the stimulus-driven or hypothesis-driven rule to classify the pictures. The overall model showed a classification accuracy of 74.1%. The type of tDCS stimulation applied, attentional orienting score, and self-reported mood were significant predictors of different categories of rule learning. These results indicate that anxiety can influence the quality of subjects’ attention at the onset of the task and that these attentional differences can influence tDCS-mediated category learning during the rapid assessment of visual scenes. These findings have implications for understanding the complex interactions that give rise to the variability in response to tDCS. (shrink)

The central claim of this essay is that Édouard Glissant’s concept of “opacity” is most fruitfully understood not as a built-in protection of a population or as a summary term for cultural difference, but rather as a political accomplishment. That is, opacity is not a given but an achievement. Taken up in this way, opacity is relevant for ongoing decolonial work today.

Davis demonstrates how Simone Weil's Marxism challenges current neoliberal understandings of the self and of human rights. Explaining her related critiques of colonialism and of political parties, it presents Weil as a twentieth-century political philosopher who anticipated and critically responded to the most contemporary political theory.

ABSTRACT I read a selection of Simone Weil’s political philosophy in the way that she reads Marx – as forming “not a doctrine but a method of understanding and action.” My claim is that Weil’s method is likewise twofold: she attempts to understand the world through inquiry, then she tests her understanding through action. First, I read “Reflections Concerning the Causes of Liberty and Social Oppression” (1934). In that essay, inquiry, exemplified by Weil’s calling into question the term “revolution,” is (...) her way of understanding reality around her, including forces of oppression and possibilities for liberation. Second, I read her “Factory Journal” (1934–1935), which records how she tested her theories from “Reflections” by placing herself in French factories. My conclusion states the fruits of Weil’s method for philosophy today: an interrogation of present political keywords (resistance, resilience) and a practice of philosophy as a way of life. (shrink)

This article is currently available as a free download on ingentaconnect.

Dobbs v. Jackson Women’s Health continues a trajectory of U.S. Supreme Court jurisprudence that undermines the normative foundation of public health — the idea that the state is obligated to provide a robust set of supports for healthcare services and the underlying social determinants of health. Dobbs furthers a longstanding ideology of individual responsibility in public health, neglecting collective responsibility for better health outcomes. Such an ideology on individual responsibility not only enables a shrinking of public health infrastructure for reproductive (...) health, it facilitates the rise of reproductive coercion and a criminal legal response to pregnancy and abortion. This commentary situates Dobbs in the context of a long historical shift in public health that increasingly places burdens on individuals for their own reproductive health care, moving away from the possibility of a robust state public health infrastructure. (shrink)

In this essay, I read Stuart Hall’s idea of “politics without guarantees” as meaning that all concepts are saturated with history and that no use of a concept can prevent it from being co-opted. The contribution of this reading is that it shifts the task of critical theory: if all concepts carry limitations and can be used to advance domination, then critical theorists need not search for pure concepts or worry about how to prevent our concepts from being captured. Instead, (...) our task is to strategically leverage always already imperfect concepts with a view toward shared political goals. For an example of this kind of critical theory, I look to W. E. B. Du Bois’s uses of “human,” “humanity,” and “human rights” in Black Reconstruction, which I suggest were informed by how he came to understand “humanity” in John Brown. (shrink)

This article examines how Hannah Arendt’s idea of a “right to have rights” could travel in the Americas. It offers a reading of the right to have rights that foregrounds the right to land as a basic right. This reading emerges through an attention to contemporary Indigenous social movements and political philosophy. Taken together, this examination and reading ask justice-oriented actors to support land back movements as part of a broader practice of defending human rights and situating those rights within (...) a responsibility to land. (shrink)

This essay responds to John McDermott’s diagnosis of politics and religious life in the U.S.: “[B]oth traditional political and religious institutions are no longer an adequate let alone rich resource for a celebratory language.” I present a new celebratory language by reading William James’s description of saintliness in Varieties of Religious Experience. James gives me the resources to naturalize and democratize saintliness. Distinguished not by her transcendent miracles but by her this-worldly energies and experiments, the pragmatic saint remakes the experience (...) of her community through celebration, a form of appreciation and criticism exemplified in engaged art. My ethical and aesthetic description of the saint thus builds on E. Paul Colella’s recent political description of the saint as the “strenuous citizen.”. (shrink)

ABSTRACT:A wide range of research uses patterns of genetic variation to infer genetic similarity between individuals, typically referred to as genetic ancestry. This research includes inference of human demographic history, understanding the genetic architecture of traits, and predicting disease risk. Researchers are not just structuring an intellectual inquiry when using genetic ancestry, they are also creating analytical frameworks with broader societal ramifications. This essay presents an ethics framework in the spirit of virtue ethics for these researchers: rather than focus on (...) rule following, the framework is designed to build researchers’ capacities to react to the ethical dimensions of their work. The authors identify one overarching principle of intellectual freedom and responsibility, noting that freedom in all its guises comes with responsibility, and they identify and define four principles that collectively uphold researchers’ intellectual responsibility: truthfulness, justice and fairness, anti-racism, and public beneficence. Researchers should bring their practices into alignment with these principles, and to aid this, the authors name three common ways research practices infringe these principles, suggest a step-by-step process for aligning research choices with the principles, provide rules of thumb for achieving alignment, and give a worked case. The essay concludes by identifying support needed by researchers to act in accord with the proposed framework. (shrink)

In his State of the Union address on January 31, 2006, President George W. Bush asserted: “for all Americans, we must confront the rising cost of care, strengthen the doctor-patient relationship, and help people afford the insurance coverage they need.” Soon thereafter, the White House National Economic Council released a summary of President Bush's plans for health care reform. The Bush plan argues that increased consumer control over health care purchasing decisions will go a long way to solving America's health (...) care woes. By making patients more value-conscious consumers, the Bush Administration hopes to reduce costs, improve quality and increase competition within the health care sector.The problem of rising health care costs is not new. In fact, President Bush's statement could have come from any American President in the last fifty years. (shrink)

We suggest that the inclusion of anxiety, as one relevant mood factor, could enhance the implementation of the integrative memory model in research and the clinic. The role of anxiety in Alzheimer's disease neuroanatomy, symptomology, and progression is used as an example. Customization of the integrative memory model can establish strong foundations for pathology-specific models of memory deficits, enhancing the development of precision medicine applications.

Physicians anecdotally report inquiring about incarcerated patients’ crimes and their length of sentence, which has potential implications for the quality of care these patients receive. However, there is minimal research on how a physician’s awareness of their patient’s crimes/length of sentence impacts physician behaviours and attitudes. We performed regression modelling on a 27-question survey to analyse physician attitudes and behaviours towards incarcerated patients. We found that, although most physicians did not usually try to learn of their patients’ crimes, they often (...) became aware of them. We observed associations between awareness of a patient’s crime and poor physician disposition towards their patients and between physicians’ poor dispositions and lower reported quality of care. These associations suggest that awareness of a patient’s crime may reduce quality of care by negatively impacting physicians’ dispositions towards their patients. Future quantitative and qualitative studies, for example, involving physician interviews and direct patient outcome assessments, are needed to confirm these findings and further uncover and address hurdles incarcerated patients face in seeking medical care. (shrink)

Religion plays a vital role in the formation of conscience and therefore is very important in determining how people co-exist in a society. Nigerian citizens live in regions other than their ethnic geographical areas, but they are not recognised as people of the same destiny and subjects of equal rights. The long period of military dictatorship that truncated the country’s democracy since the civil war gave Nigerians a constitution which adopted the Sharia legal system within a purported secular state. This (...) encouraged a wide range of religious fanaticism and led to various demands for human rights, which has become a worrisome issue to concerned Nigerians. This article used secondary sources of data, such as newspaper publications and journal articles to examine the impact of religion on the state of the Nigerian nation today. The article calls for the harmonisation of Christianity and Islamic teachings in line with the secularity of the Nigerian state in order to reduce the increasing tensions in the country and make the journey to nationhood more realistic.Contribution: This article proposes that the secularity of the Nigerian state has to be maintained by political and religious leaders in order to attain purposeful nationhood and achieve sustainable and genuine development of the country. (shrink)

© 2015, Springer-Verlag Berlin Heidelberg.Genetic studies have identified single nucleotide polymorphisms associated with the risk of prostate cancer. It remains unclear whether such genetic variants are associated with disease aggressiveness. The NCI-SPORE Genetics Working Group retrospectively collected clinicopathologic information and genotype data for 36 SNPs which at the time had been validated to be associated with PC risk from 25,674 cases with PC. Cases were grouped according to race, Gleason score and aggressiveness. Statistical analyses were used to compare the frequency (...) of the SNPs between different disease cohorts. After adjusting for multiple testing, only PC-risk SNP rs2735839 was significantly and inversely associated with aggressive and high-grade disease in European men. Similar associations with aggressive and high-grade disease were documented in African-American subjects. The G allele of rs2735839 was associated with disease aggressiveness even at low PSA levels in both European and African-American men. Our results provide further support that a PC-risk SNP rs2735839 near the KLK3 gene on chromosome 19q13 may be associated with aggressive and high-grade PC. Future prospectively designed, case-case GWAS are needed to identify additional SNPs associated with PC aggressiveness. (shrink)

_ Source: _Page Count 20 Research by Graham and Haidt suggests that beliefs, rituals, and other social aspects of religion establish moral communities. As such, they suggest religion is most strongly associated with the group-focused “binding” moral foundations of ingroup/loyalty, authority/respect, and purity/sanctity. Two studies tested this hypothesis, investigating the role of political orientation in these relationships. These studies supported our hypothesis that general religiosity is positively associated with each of the group-focused moral foundations, even when controlling for the role (...) of political orientation. Further, we find religious and political orientations interact such that low-religious political liberals are least likely to endorse group-focused moral intuitions. Results are discussed in a moral foundations framework and consider the role of religiosity’s association with political orientation and group-focused moral foundations. (shrink)

With gratitude for our commentators’ thoughtful and generous engagement with Recognizing Wrongs, we offer in this reply a thumbnail summary of their comments and responses to some of their most important questions and criticisms. In the spirit of friendly amendment, Tom Dougherty and Johann Frick suggest that a more satisfactory version of our theory would cast tort actions as a means of enforcing wrongdoers’ moral duties of repair. We provide both legal and moral reasons for declining their invitation. Rebecca Stone (...) draws a particular link between civil recourse in private law theory and the right of self-defense as recognized in criminal law and moral theory. While we share Stone’s basic inclination, we argue for a different version of the link than the one that she draws. Veronica Rodriguez-Blanco provides a critique of our model of negligence law based on action theory. In response, we explain – in a way that we hope sheds light on debates over moral luck – how it is possible for the law to define negligence such that its commission depends simultaneously on the character of the defendant’s conduct and on the consequences that result from it. Though generally sympathetic to our approach, Stephen Smith faults us for failing satisfactorily to explain important remedial dimensions of tort law. Stubbornly, we insist that we can account for these, and indeed can do so on more satisfactory terms than corrective justice theorists. Finally, Erin Kelly challenges us to consider how our work might inform the analysis of two pressing issues of racial justice: overcriminalization and reparation payments. While we question whether our work to date has as much to offer on these matters as she suggests, we also maintain that the core principle of civil recourse theory – where there is a right there is a remedy – provides grounds for critiquing modern law’s failure to provide adequate accountability when police officers use excessive force against persons of color. (shrink)

I highlight three features of P.F. Strawson’s later, neglected work on freedom and responsibility. First, in response to a criticism by Rajendra Prasad, Strawson explicitly rejects an argument put forward in ‘Freedom and Resentment’ against the relevance of determinism to moral responsibility. Second, his remarkable acceptance of Prasad’s criticism motivates him to take the ‘straight path’, that is, to be straightforward about the relation between determinism, freedom, the ability to do otherwise and the conditions of responsibility. He claims that the (...) ability to do otherwise is a necessary condition of responsibility and provides a list of additional conditions, including a knowledge condition. Third, he clarifies the relation between responsibility, quality of will and the reactive attitudes. The latter do not figure essentially in his answer to the question, ‘What are the conditions of responsibility?’, but they do play an essential role in his answer to the question, ‘Why do we have the concept of responsibility?’ We have it, Strawson suggests, because of our natural concern about the quality of will with which people act, a concern expressed in our reactive attitudes. I argue that, although Strawson’s later work definitely involves a shift of emphasis when compared to ‘Freedom and Resentment’, his overall account of freedom and responsibility is coherent. The later work helps to better understand the nature and significance of Strawson’s contribution, and to identify problems with common interpretations of and objections to ‘Freedom and Resentment’. (shrink)

Physicians working in the world of competitive sports face unique ethical challenges, many of which center around conflicts of interest. Team-employed physicians have obligations to act in the club's best interest while caring for the individual athlete. As such, they must balance issues like protecting versus sharing health information, as well as issues regarding autonomous informed consent versus paternalistic decision making in determining whether an athlete may compete safely. Moreover, the physician has to deal with an athlete's decisions about performance (...) enhancement and return to play, pursuit of which may not be in the athlete's long-term best interests but may benefit the athlete and team in the short term. These difficult tasks are complicated by the lack of evidence-based standards in a field influenced by the lure of financial gains for multiple parties involved. In this article, we review ethical issues in sports medicine with specific attention paid to American professional football. (shrink)

We present a new road map for research on “How the Brain Got Language” that adopts an EvoDevoSocio perspective and highlights comparative neuroprimatology – the comparative study of brain, behavior and communication in extant monkeys and great apes – as providing a key grounding for hypotheses on the last common ancestor of humans and monkeys and chimpanzees and the processes which guided the evolution LCA-m → LCA-c → protohumans → H. sapiens. Such research constrains and is constrained by analysis of (...) the subsequent, primarily cultural, evolution of H. sapiens which yielded cultures involving the rich use of language. (shrink)

We show that the actuality operator A is redundant in any propositional modal logic characterized by a class of Kripke models (respectively, neighborhood models). Specifically, we prove that for every formula ${\phi}$ in the propositional modal language with A, there is a formula ${\psi}$ not containing A such that ${\phi}$ and ${\psi}$ are materially equivalent at the actual world in every Kripke model (respectively, neighborhood model). Inspection of the proofs leads to corresponding proof-theoretic results concerning the eliminability of the actuality (...) operator in the actuality extension of any normal propositional modal logic and of any “classical” modal logic. As an application, we provide an alternative proof of a result of Williamson’s to the effect that the compound operator A□ behaves, in any normal logic between T and S5, like the simple necessity operator □ in S5. (shrink)

We report on the small-scale (0.5 13 h - 1M, a large-scale bias of ~2.0 and a satellite fraction of 12 ± 2 per cent. Thus, these galaxies occupy haloes with average masses in between those of the higher redshift BOSS CMASS sample and the original SDSS I/II luminous red galaxy sample © 2012 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society © doi:10.1093/mnras/sts314.

Evidence that led to the hypothesis of a backwards referral of conscious sensory experiences in time, and the experimental tests of its predictions, is summarized. Criticisms of the data and the conclusion by Churchland that this hypothesis is untenable are analysed and found to be based upon misconceptions and faulty evaluations of facts and theory. Subjective referral in time violates no neurophysiological principles or data and is compatible with the theory of "mental" and "physical" correspondence.

About 6% of women in the world live in countries that ban all abortions, and 34% in countries that only allow abortion to preserve maternal life or health. In the USA, over the last decades—even before Dobbs v. Jackson Women’s Health Organization overturned the federal right to abortion—various states have sought to restrict abortion access. Often times, this legislation has been advanced based on legislators’ personal moral values. At the bedside, in contrast, provision of abortion care should adhere to the (...) normative principles of medical ethics and reproductive justice, centreing patients and their individual reproductive intentions and desires. Abortion regulations, through their influence on patients and providers, may facilitate or impede such ethical care at the bedside. In this paper, we present a framework to model how abortion legislation should fit into the patient–provider relationship and to clarify the dynamics by which legislation may affect healthcare encounters. Our proposed framework serves as a tool to analyse the ethical impact of abortion regulations. We propose a model for assessing abortion policies based not on legislators’ or advocates’ individual moral claims, but on the shared, normative framework of clinical medical ethics. Through contrasting case studies, we demonstrate how a robust normative ethical framework can recentre patients and their reproductive needs. Our model is one way to account for—and safeguard—patients’ diverse viewpoints and needs in the development of abortion policy, and it can serve to ground narratives for advocacy by healthcare workers and their professional organisations. (shrink)

We argue that P. F. Strawson's hugely influential account of moral responsibility in ‘Freedom and Resentment’ (FR) is inextricably bound up with his barely known account of morality in ‘Social Morality and Individual Ideal’ (SMII). Reading FR through the lens of SMII has at least three far-reaching implications. First, the ethics–morality distinction in SMII gives content to Strawson's famous distinction between personal and moral reactive attitudes, which has often been thought to be a merely formal distinction. Second, the ethics–morality distinction (...) sheds light on the scope of moral responsibility in FR, which is narrower than commentators think. Third, Strawson's discussion of morality shows that he was not insensitive to issues of power, as several critics have claimed. The link between morality and power helps to make clear that Strawson allows for criticism of our moral responsibility practices. (shrink)

When viewing a circular coin rotated in depth, it fills an elliptical region of the distal scene. For some, this appears to generate a two-fold experience, in which one sees the coin as simultaneously circular (in light of its 3D shape) and elliptical (in light of its 2D ‘perspectival shape’ or ‘p-shape’). An energetic philosophical debate asks whether the latter p-shapes are genuinely presented in perceptual experience (as ‘perspectivalists’ argue) or if, instead, this appearance is somehow derived or inferred from (...) experience (as ‘anti-perspectivalists’ argue). This debate, however, has largely turned on introspection. In a recent study, Morales, Bax, and Firestone (2020) aim to provide the first empirical test of this question. They asked subjects to find an elliptical coin seen face-on from a search array that also included a circular coin seen either face-on or at an angle. They found that subjects reacted more slowly when the distracting circle was seen at an angle, such that it’s p-shape matched that of the target ellipse. From this, they concluded that the similar p-shape between the ellipse and circle constituted a phenomenal similarity between the two, and thus that perspectivalism is true. We show that these results can also be explained by pre-attentive guidance by unconscious representations (in what follows, just “unconscious pre-attentive guidance”) and that this explanation is at least as plausible as one from phenomenal similarity. Thus, we conclude that the experiment does not support perspectivalism over anti-perspectivalism. (shrink)

Tracing Walter Benjamin's convergences with, and divergences from, influential German theorist Carl Schmitt, this edited collection places his thinking in the context of broader 20th century political philosophy of his time, and examines the question of whether Benjamin presents the possibility for a distinctive political theology, mapping the coordinates of this question without collapsing the tensions internal to Benjamin's thought. This volume brings together a host of multifaceted contributions that explore why Benjamin has been a fertile (...) source for thinking about political theology and the possibilities that this new perspective brings to light. (shrink)

Strawson's view on punishment has been either neglected or recoiled from in contemporary scholarship on ‘Freedom and Resentment’ (FR). Strawson's alleged retributivism has made his view suspect and troublesome. In this article, we first argue, against the mainstream, that the punishment passage is an indispensable part of the main argument in FR (section 1) and elucidate in what sense Strawson can be called ‘a retributivist’ (section 2). We then elaborate our own hypothesis of symbolic retribution to explain the continuum between (...) moral reactive attitudes and punishment that Strawson only adumbrates (section 3). After this justification of the punitive response to wrongdoing, we compare and contrast our specific kind of retributivist hypothesis with other positions in the so-called ‘new retributivism’ (section 4). Our hypothesis differs from other subvarieties of expressive retributivism in putting centre stage the idea of punishment as taking up a reverential stance towards the victim. (shrink)

The Council on Ethical and Judicial Affairs of the American Medical Association examines physicians’ professional ethical responsibility in the event that the security of patients’ electronic records is breached.

It is proved in $\mathsf {ZF}$ (without the axiom of choice) that, for all infinite sets M, there are no surjections from $\omega \times M$ onto $\operatorname {\mathrm {\mathscr {P}}}(M)$.

The paper discusses whether there are strictly inexpressible properties. Three main points are argued for: (i) Two different senses of ‘predicate t expresses property p ’ should be distinguished. (ii) The property of being a predicate that does not apply to itself is inexpressible in one of the senses of ‘express’, but not in the other. (iii) Since the said property is related to Grelling’s Antinomy, it is further argued that the antinomy does not imply the non-existence of that property.

It is a consequence of the theory of imprecise credences that there exist situations in which rational agents inevitably become less opinionated toward some propositions as they gather more evidence. The fact that an agent's imprecise credal state can dilate in this way is often treated as a strike against the imprecise approach to inductive inference. Here, we show that dilation is not a mere artifact of this approach by demonstrating that opinion loss is countenanced as rational by a substantially (...) broader class of normative theories than has been previously recognised. Specifically, we show that dilation-like phenomena arise even when one abandons the basic assumption that agents have (precise or imprecise) credences of any kind, and follows directly from bedrock norms for rational comparative confidence judgements of the form `I am at least as confident in p as I am in q'. We then use the comparative confidence framework to develop a novel understanding of what exactly gives rise to dilation-like phenomena. By considering opinion loss in this more general setting, we are able to provide a novel assessment of the prospects for an account of inductive inference that is not saddled with the inevitability of rational opinion loss. (shrink)

For a set x, let S(x) be the set of all permutations of x. We prove by the method of permutation models that the following statements are consistent with ZF: (1) There is an infinite set x such that |p(x)|<|S(x)|<|seq^1-1(x)|<|seq(x)|, where p(x) is the powerset of x, seq(x) is the set of all finite sequences of elements of x, and seq^1-1(x) is the set of all finite sequences of elements of x without repetition. (2) There is a Dedekind infinite set (...) x such that |S(x)|<|[x]^3| and such that there exists a surjection from x onto S(x). (3) There is an infinite set x such that there is a finite-to-one function from S(x) into x. (shrink)