We show that Weak Vopěnka’s Principle, which is the statement that the opposite category of ordinals cannot be fully embedded into the category of graphs, is equivalent to the large cardinal principle Ord is Woodin, which says that for every class [Formula: see text] there is a [Formula: see text]-strong cardinal. Weak Vopěnka’s Principle was already known to imply the existence of a proper class of measurable cardinals. We improve this lower bound to the optimal one by defining structures whose (...) nontrivial homomorphisms can be used as extenders, thereby producing elementary embeddings witnessing [Formula: see text]-strongness of some cardinal. (shrink)

We consider a weak version of Schindler’s remarkable cardinals that may fail to be ${{\rm{\Sigma }}_2}$-reflecting. We show that the ${{\rm{\Sigma }}_2}$-reflecting weakly remarkable cardinals are exactly the remarkable cardinals, and that the existence of a non-${{\rm{\Sigma }}_2}$-reflecting weakly remarkable cardinal has higher consistency strength: it is equiconsistent with the existence of an ω-Erdős cardinal. We give an application involving gVP, the generic Vopěnka principle defined by Bagaria, Gitman, and Schindler. Namely, we show that gVP + “Ord is not ${{\rm{\Delta (...) }}_2}$-Mahlo” and ${\text{gVP}}$ + “there is no proper class of remarkable cardinals” are both equiconsistent with the existence of a proper class of ω-Erdős cardinals, extending results of Bagaria, Gitman, Hamkins, and Schindler. (shrink)

We show that Weak Vopěnka’s Principle, which is the statement that the opposite category of ordinals cannot be fully embedded into the category of graphs, is equivalent to the large cardinal princi...

We define a generic Vopěnka cardinal to be an inaccessible cardinal \ such that for every first-order language \ of cardinality less than \ and every set \ of \-structures, if \ and every structure in \ has cardinality less than \, then an elementary embedding between two structures in \ exists in some generic extension of V. We investigate connections between generic Vopěnka cardinals in models of ZFC and the number and complexity of \-Suslin sets of reals in models (...) of ZF. In particular, we show that ZFC + is equiconsistent with ZF + \\) where \ is the pointclass of all \-Suslin sets of reals, and also with ZF + \\) + \\) where \ is the least ordinal that is not a surjective image of the reals. (shrink)

We define a generic Vopěnka cardinal to be an inaccessible cardinal \ such that for every first-order language \ of cardinality less than \ and every set \ of \-structures, if \ and every structure in \ has cardinality less than \, then an elementary embedding between two structures in \ exists in some generic extension of V. We investigate connections between generic Vopěnka cardinals in models of ZFC and the number and complexity of \-Suslin sets of reals in models (...) of ZF. In particular, we show that ZFC + is equiconsistent with ZF + \\) where \ is the pointclass of all \-Suslin sets of reals, and also with ZF + \\) + \\) where \ is the least ordinal that is not a surjective image of the reals. (shrink)

We give a new proof of a theorem of Shelah which states that for every family of labeled trees, if the cardinality κ of the family is much larger (in the sense of large cardinals) than the cardinality λ of the set of labels, more precisely if the partition relation holds, then there is a homomorphism from one labeled tree in the family to another. Our proof uses a characterization of such homomorphisms in terms of games.

We show that the statement “every universally Baire set of reals has the perfect set property” is equiconsistent modulo ZFC with the existence of a cardinal that we call virtually Shelah for supercompactness. These cardinals resemble Shelah cardinals and Shelah-for-supercompactness cardinals but are much weaker: if $0^\sharp $ exists then every Silver indiscernible is VSS in L. We also show that the statement $\operatorname {\mathrm {uB}} = {\boldsymbol {\Delta }}^1_2$, where $\operatorname {\mathrm {uB}}$ is the pointclass of all universally Baire (...) sets of reals, is equiconsistent modulo ZFC with the existence of a $\Sigma _2$ -reflecting VSS cardinal. (shrink)

In 1924 Banach and Tarski demonstrated the existence of a paradoxical decomposition of the 3-ball B, i.e., a piecewise isometry from B onto two copies of B. This article answers a question of de Groot from 1958 by showing that there is a paradoxical decomposition of B in which the pieces move continuously while remaining disjoint to yield two copies of B. More generally, we show that if n ≥ 2, any two bounded sets in.

We give a level-by-level analysis of the Weak Vopěnka Principle for definable classes of relational structures ( $\mathrm {WVP}$ ), in accordance with the complexity of their definition, and we determine the large-cardinal strength of each level. Thus, in particular, we show that $\mathrm {WVP}$ for $\Sigma _2$ -definable classes is equivalent to the existence of a strong cardinal. The main theorem (Theorem 5.11) shows, more generally, that $\mathrm {WVP}$ for $\Sigma _n$ -definable classes is equivalent to the existence of (...) a $\Sigma _n$ -strong cardinal (Definition 5.1). Hence, $\mathrm {WVP}$ is equivalent to the existence of a $\Sigma _n$ -strong cardinal for all $n<\omega $. (shrink)

Significant challenges arise for clinical care teams when a patient or surrogate decision-maker hopes a miracle will occur. This article answers the question, “How should clinical bioethicists respond when a medical decision-maker uses the hope for a miracle to orient her medical decisions?” We argue the ethicist must first understand the complexity of the miracle-invocation. To this end, we provide a taxonomy of miracle-invocations that assist the ethicist in analyzing the invocator's conceptions of God, community, and self. After the ethicist (...) appreciates how these concepts influence the invocator's worldview, she can begin responding to this hope with specific practices. We discuss these practices in detail and offer concrete recommendations for a justified response to the hope for a miracle. (shrink)

More than 1.5 billion students experienced disruption to education as a result of COVID-19, representing the most substantial interruption to global education in modern history. Many educational institutions transitioned to emergency remote teaching (ERT) overnight, which has presented an array of distinct challenges for educators. Using virtual interviews and an experiential approach to thematic analysis, the study examined Scottish primary teachers’ (n = 10) lived experiences of adapting to ERT practice. Findings demonstrated three main themes; ‘Meeting Learners’ Needs,’ ‘Influencing Engagement’, (...) and ‘The Impact of ERT on Teachers’. Key findings suggested that differentiating learning, engaging, and communicating with learners is more difficult during ERT than face-to-face teaching. Parental engagement is vital, however, is influenced by several mitigating factors. Finally, ERT is likely to have substantial effects on the wellbeing of those involved. Implications of these findings are considered and discussed. (shrink)

How should clinical ethicists be trained? Scholars have stated that clinical ethics fellowships create well-trained, competent ethicists. While this appears intuitive, few features of fellowship programs have been publicly discussed, let alone debated. In this paper, we examine how fellowships can foster effective mentoring relationships. These relationships provide the foundation for the fellow’s transition from novice to competent professional. In this essay, we begin by discussing our pedagogical commitments. Next, we describe the structures our program has created to assist our (...) fellows in becoming competent ethicists. We then outline the kinds of knowledge, skills, and professional attributes mentors should possess. Following this, we focus on the knowledge, skills, and professional attributes that fellows develop as they co-create effective mentoring relationships. We will not prescribe a single approach to fellowship training; instead, our perspective will, we hope, become a catalyst for further conversation on training and mentoring clinical ethics fellows. (shrink)

Mrs. Duong had coronary artery disease, ischemic cardiomyopathy, and mildly altered mental status when her case was presented before an advanced heart therapy medical review board. She was accepted for left ventricular assist device placement pending additional insight into her cognitive state. Before the LVAD could be implanted, however, Mrs. Duong went into cardiogenic shock, and her heart failure team placed an intra‐aortic balloon pump in her subclavian artery. Within two weeks, Mrs. Duong became IABP dependent and deconditioned. The attending (...) deemed her as lacking capacity to make complex medical decisions, and the medical review board officially declined her for LVAD placement. The heart failure and CICU teams feel that Mrs. Duong is not being helped by the care they are giving her. They recommend terminal weaning of the IABP and initiation of comfort care. Her family disagrees, pointing to activities like continued eating and interacting with family. At an impasse after yet another family meeting, the attending for the heart failure team asks the clinical ethics consultant, “Do we have to replace the balloon pump when it fails?”. (shrink)

Every clinical ethics consultant, no matter their own spirituality, will meet patients, families, and healthcare professionals whose spiritualities anchor their moral worldviews. How might ethicists respond to those who rely on spirituality when making medical decisions? And further, should ethicists incorporate their own spiritual commitments into their clinical analyses and recommendations? These questions prompt reflection on foundational issues in the philosophy of medicine, political and moral theory, and methods of proper clinical ethics consultation. Rather than attempting to offer definitive answers (...) to these questions, this essay prompts readers to consider their own answers to these questions. Specifically, it offers a taxonomic analysis of six (6) distinct responses: assessment, delegation, examination, translation, incorporation, and assertion. Furthermore, this essay describes the role of the ethicist’s own spiritual commitments during the responses. Each section also names several strengths and weaknesses that ethicists ought to consider when evaluating the purpose and scope of each response. This paper prompts readers to consider circumstances under which they might promote, critique, or incorporate spiritual worldviews—their own and those of their patients—when offering clinical analyses and recommendations. (shrink)

Unethical behavior coordinated and concealed by teams continues to represent a troubling and all-too-frequent occurrence in organizations. Unfortunately, those who are most knowledgeable about this behavior and thereby best suited to report it to authorities—the complicit members themselves—are susceptible to unique pressures that often discourage them from blowing the whistle. Team members rely on their teammates for relational and other beneficial resources, making it more difficult to potentially break those ties by snitching. However, we argue that the pressure to stay (...) silent is alleviated for members who are ostracized by their team members. Drawing on social exchange theory, we theorize that ostracism decreases positive affect and increases negative affect, decreasing individuals’ communion striving motivation and, in turn, increasing the propensity to blow the whistle. In Study 1, we examined the link between ostracism and whistleblowing utilizing a field sample of diverse employees surveyed over time. In Study 2, we built upon Study 1 and conducted a lab study to examine affect and communion striving motivation as serial mediators. Results were generally supportive of our arguments, although we did not find support for the mediating effect of negative affect. (shrink)

According to grounded cognition, words whose semantics contain sensory-motor features activate sensory-motor simulations, which, in turn, interact with spatial responses to produce grounded congruency effects. Growing evidence shows these congruency effects do not always occur, suggesting instead that the grounded features in a word's meaning do not become active automatically across contexts. Researchers sometimes use this as evidence that concepts are not grounded, further concluding that grounded information is peripheral to the amodal cores of concepts. We first review broad evidence (...) that words do not have conceptual cores, and that even the most salient features in a word's meaning are not activated automatically. Then, in three experiments, we provide further evidence that grounded congruency effects rely dynamically on context, with the central grounded features in a concept becoming active only when the current context makes them salient. Even when grounded features are central to a word's meaning, their activation depends on task conditions. (shrink)

ABSTRACT This essay argues that science education can gain from close engagement with the history of science both in the training of prospective vocational scientists and in educating the broader public about the nature of science. First it shows how historicizing science in the classroom can improve the pedagogical experience of science students and might even help them turn into more effective professional practitioners of science. Then it examines how historians of science can support the scientific education of the general (...) public at a time when debates over “intelligent design” are raising major questions over the kind of science that ought to be available to children in their school curricula. It concludes by considering further work that might be undertaken to show how history of science could be of more general educational interest and utility, well beyond the closed academic domains in which historians of science typically operate. (shrink)

ABSTRACT This essay argues that science education can gain from close engagement with the history of science both in the training of prospective vocational scientists and in educating the broader public about the nature of science. First it shows how historicizing science in the classroom can improve the pedagogical experience of science students and might even help them turn into more effective professional practitioners of science. Then it examines how historians of science can support the scientific education of the general (...) public at a time when debates over “intelligent design” are raising major questions over the kind of science that ought to be available to children in their school curricula. It concludes by considering further work that might be undertaken to show how history of science could be of more general educational interest and utility, well beyond the closed academic domains in which historians of science typically operate. (shrink)

In this Handbook twenty-six leading scholars survey the development of philosophy between the middle of the sixteenth century and the early eighteenth century.

Volume 20, Issue 7, July 2020, Page 202-204.

In response to Casasanto, Brookshire, and Ivry, we address four points: First, we engaged in conceptual replications of Brookshire, Casasanto, and Ivry, not direct replications. Second, we did not question the validity of Brookshire et al.'s results, nor the similar findings of other researchers, but instead explained divergent findings within an integrated theoretical framework. Third, challenges to the construct of automaticity, including ours, were widespread, long before Brookshire et al.'s article. Fourth, the planned comparisons that we reported tested our theoretical (...) claims and offered strong evidence for them. (shrink)

Gossip is a subject that has been studied by researchers from an array of disciplines with various foci and methods. We measured the content of language use by members of a competitive sports team across 18 months, integrating qualitative ethnographic methods with quantitative sampling and analysis. We hypothesized that the use of gossip will vary significantly depending on whether it is used for self-serving or group-serving purposes. Our results support a model of gossip derived from multilevel selection theory that expects (...) gossip to serve group-beneficial rules when rewards are partitioned at the group level on a scale that permits mutual monitoring. We integrate our case study with earlier studies of gossip conducted by anthropologists, psychologists, and management researchers. (shrink)

Scale is a contested concept in human geography fostering debates and contestation that have escalated to the point where some have argued for the term to be expunged from the geographical lexicon. Yet, despite the importance of scale in the geography of religion, the scalar debates in human geography have only rarely penetrated the conceptual base of the sub-discipline. This article addresses the scale debate through a case study of adherents in three churches in West Virginia, USA. The study explores (...) these highly theoretical scalar issues through an empirical analysis of adherents, congregations and denominational leaders. A critical realist framework of emergence is used to demonstrate the value of a stratified, non-reductionist approach to the geography of religion. An emergent geography of religion is considered alongside other forms of religious social analysis such as poststructural ‘crossings and dwellings’ and actor network theory, and the role of critical realism in the broader scale debates in geography is evaluated. (shrink)

The book delves into mathematical mindsets, a current approach to understanding mathematical identities, as well as success and failure in mathematics.

Despite the interpersonal nature of family meetings and the frequency in which they occur, the clinical ethics literature is devoid of any rich descriptions of what clinical ethicists should actually be doing during family meetings. Here, we propose a framework for describing and understanding “transitioning” facilitation skills based on a retrospective review of our internal documentation of 100 consecutive cases wherein a clinical ethicist facilitated at least one family meeting. The internal documents were analyzed using qualitative methodologies, i.e., “codes”, to (...) identify emergent themes. We identified four different transitioning strategies clinical ethicists use to reach a meaningful resolution. These transitioning strategies serve as a jumping-off point for additional analyses, future research, evaluating clinical ethics consultation, and overall performance improvement of a consultation service. (shrink)

Book reviewed in this article: On Human Nature. By Edward O. Wilson.

ObjectiveThe Spatial Learning Task of Lhermitte and Signoret is an object-location arbitrary associative learning task. The task was originally developed to evaluate adults with severe amnesia. It is currently used in populations where the memory system either is not yet fully developed or where it has been compromised (e.g. epilepsy, traumatic brain injury, electroconvulsive therapy, cerebrovascular disease and dementia). Normative data have been published for paediatric cohorts and for older adults, however no data exist for the intervening adult years.MethodHere, we (...) address this gap, collecting normative data from 101 adults aged 18–45.ResultsOur data indicate that performance on the Spatial Learning Task is not influenced by age, gender, level of education or overall IQ. Less than 10% of the variance in learning scores is associated with variability in verbal memory. Ninety percent of participants achieved perfect scores on two successive trials (T2Cr) within five or fewer trials on the Spatial Learning Task. A T2Cr score of 6 is suggestive of impairment and a T2Cr score of 7 or more is statistically abnormal.ConclusionThese data expand the clinical utility of the Spatial Learning Task in the adult population. Future work should examine performance in lower IQ cohorts, including intellectual disability, and explore sensitivity to disease factors such as laterality of mesial temporal lobe damage. (shrink)

We suggest that anecdotes have evidentiary value in interpreting nonhuman primate behavior. We also believe that any outcome from the experiments proposed by Heyes can be interpreted as a product of previous experience with trainers or as associative learning using the experimental cues. No potential outcome is clearcut evidence for or against the theory of mind proposition.

This article discusses the triage response to the COVID-19 delta variant surge of 2021. One issue that distinguishes the delta wave from earlier surges is that by the time it became the predominant strain in the USA in July 2021, safe and effective vaccines against COVID-19 had been available for all US adults for several months. We consider whether healthcare professionals and triage committees would have been justified in prioritising patients with COVID-19 who are vaccinated above those who are unvaccinated (...) in first-order or second-order triage. Given that lack of evidence for a correlation between short-term survival and vaccination, we argue that using vaccination status during first-order triage would be inconsistent with accepted triage standards. We then turn to notions of procedural fairness, equity and desert to argue that that there is also a lack of justification for using vaccination status in second-order triage. In planning for future surges, we recommend that medical institutions base their triage decisions on principles meant to save the most lives, minimise inequity and protect the public’s trust, which for the time being would not be served by the inclusion of vaccination status. (shrink)

Arguably no concept is more fundamental to science than that of causality, for investigations into cases of existence, persistence, and change in the natural world are largely investigations into the causes of these phenomena. Yet the metaphysics and epistemology of causality remain unclear. For example, the ontological categories of the causal relata have been taken to be objects (Hume 1739), events (Davidson 1967), properties (Armstrong 1978), processes (Salmon 1984), variables (Hitchcock 1993), and facts (Mellor 1995). (For convenience, causes and effects (...) will usually be understood as events in what follows.) Complicating matters, causal relations may be singular (Socrates’s drinking hemlock caused Socrates’s death) or general (Drinking hemlock causes death); hence the relata might be tokens (e.g., instances of properties) or types (e.g., types of events) of the category in question. Other questions up for grabs are: Are singular causes metaphysically and/or epistemologically prior to general causes or vice versa (or neither)? What grounds the intuitive asymmetry of the causal relation? Are macro-causal relations reducible to micro-causal relations? And perhaps most importantly: Are causal facts (e.g., the holding of causal relations) reducible to non-causal facts (e.g., the holding of certain spatiotemporal relations)? (shrink)

For the theorists of crisis, the revolutionary state comes into existence through violence, and due to its inability to provide an authoritative katechon (restrainer) against internal and external violence, it perpetuates violence until it self-destructs. Writing during extreme economic depression and growing social and political violence, the crisis theorists––Joseph de Maistre, Juan Donoso Cortés, and Carl Schmitt––each sought to blame the chaos of their time upon the Janus-faced postrevolutionary ideals of liberalism and socialism by urging a return to pre-revolutionary moral (...) and religious values. They are united by three counterrevolutionary principles, all of which are purported to remedy revolutionary violence: traditional constitutional fidelity, the philosophy of the decision, and opposition to bourgeois liberalism. This essay is followed by the first complete English translation and publication of Donoso’s letter of October 24, 1851, which contains Donoso’s only reference to the “discussing class,” a political entity later popularized by Schmitt in his 1922 work Political Theology. (shrink)

This paper examines one of the historical antecedents of Big Data, the social physics movement. Its origins are in the scientific revolution of the 17th century in Western Europe. But it is not named as such until the middle of the 19th century, and not formally institutionalized until another hundred years later when it is associated with work by George Zipf and John Stewart. Social physics is marked by the belief that large-scale statistical measurement of social variables reveals underlying relational (...) patterns that can be explained by theories and laws found in natural science, and physics in particular. This larger epistemological position is known as monism, the idea that there is only one set of principles that applies to the explanation of both natural and social worlds. Social physics entered geography through the work of the mid-20th-century geographer William Warntz, who developed his own spatial version called “macrogeography.” It involved the computation of large data sets, made ever easier with the contemporaneous development of the computer, joined with the gravitational potential model. Our argument is that Warntz's concerns with numeracy, large data sets, machine-based computing power, relatively simple mathematical formulas drawn from natural science, and an isomorphism between natural and social worlds became grounds on which Big Data later staked its claim to knowledge; it is a past that has not yet passed. (shrink)