This article examines the relationship between action research and policy and the kind of confidence teachers, policy makers and other potential users may have in such research. Many published teacher action research accounts are criticised on the grounds that they do not fully meet the conventional standards for reporting social scientific research, and by implication are held to be less trustworthy. Action research is nevertheless often seen by some academics and policy makers as a potential method for developing theory, disseminating (...) good practice, or raising standards. Through a discussion of three major approaches to action research—seen variously as professional learning, practical philosophy and critical social science—it is argued that judgements about confidence depend upon understanding the various kinds of knowledge claim that can be made by action researchers, and appropriate judgements concerning the strength of evidence or reasons. (shrink)

This paper attempts to present and organize several problems in the theory of Singular Cardinals. The most famous problems in the area (bounds for the ℶ-function at singular cardinals) are well known to all mathematicians with even a rudimentary interest in set theory. However, it is less well known that the combinatorics of singular cardinals is a thriving area with results and problems that do not depend on a solution of the Singular Cardinals Hypothesis. We present here an annotated collection (...) of representative problems with some references. Where the problems are novel, attribution is attempted and it is noted where money is attached to particular problems. Three closely related themes are represented in these problems: stationary sets and stationary set reflection, variations of square and approachability, and the singular cardinals hypothesis. Underlying many of them are ideas from Shelah's PCF theory. Important subthemes were mutual stationarity, Aronszajn trees, and superatomic Boolean Algebras. The author notes considerable overlap between this paper and the unpublished report submitted to the Banff Center for the Workshop on Singular Cardinals Combinatorics, May 1–5, 2004. (shrink)

In a recent Editorial, Kious et al. (2023) put forward the claim that psychiatrists should resist calls to integrate concerns about epistemic injustice into their practice as this concept not only fails to add significantly to the current professional standards but would also lead to deleterious clinical outcomes. We believe their claim is mistaken, as it arises from several misconceptions about both the nature of epistemic injustice, and its clinical relevance. First, epistemic justice is conflated with what the authors term (...) ‘a quest for social justice’ that could ‘sideline principles of good clinical reasoning’ (Kious at al 2023: 4). Second, the claim about the impracticality and/or counterproductivity of epistemic injustice as a critical tool within psychiatric practice reflects a series of misconceptions about the normative framework from which this concept derives, so the standards they evaluate it against are ill-chosen. Pace Kious at al., fostering epistemic justice in any area of knowledge and inquiry could not – unwittingly or otherwise – inhibit the consideration of relevant evidence, restrict sound argument or facilitate the casual treatment of testimonies at face value. Third and final, this claim obfuscates some immediate ways in which a focus on epistemic justice as an integral goal will strengthen psychiatric practice according to its own internal standards. (shrink)

Since the work of Gödel and Cohen, which showed that Hilbert's First Problem was independent of the usual assumptions of mathematics, there have been a myriad of independence results in many areas of mathematics. These results have led to the systematic study of several combinatorial principles that have proven effective at settling many of the important independent statements. Among the most prominent of these are the principles diamond and square discovered by Jensen. Simultaneously, attempts have been made to find suitable (...) natural strengthenings of ZFC, primarily by Large Cardinal or Reflection Axioms. These two directions have tension between them in that Jensen's principles, which tend to suggest a rather rigid mathematical universe, are at odds with reflection properties. A third development was the discovery by Shelah of "PCF Theory", a generalization of cardinal arithmetic that is largely determined inside ZFC. In this paper we consider interactions between these three theories in the context of singular cardinals, focusing on the various implications between square and scales, and on consistency results between relatively strong forms of square and stationary set reflection. (shrink)

In this paper we consider whether L(R) has “enough information” to contain a counterexample to the continuum hypothesis. We believe this question provides deep insight into the difficulties surrounding the continuum hypothesis. We show sufficient conditions for L(R) not to contain such a counterexample. Along the way we establish many results about nonstationary towers, non-reflecting stationary sets, generalizations of proper and semiproper forcing and Chang's conjecture.

Since the work of Gödel and Cohen, which showed that Hilbert's First Problem was independent of the usual assumptions of mathematics, there have been a myriad of independence results in many areas of mathematics. These results have led to the systematic study of several combinatorial principles that have proven effective at settling many of the important independent statements. Among the most prominent of these are the principles diamond and square discovered by Jensen. Simultaneously, attempts have been made to find suitable (...) natural strengthenings of ZFC, primarily by Large Cardinal or Reflection Axioms. These two directions have tension between them in that Jensen's principles, which tend to suggest a rather rigid mathematical universe, are at odds with reflection properties. A third development was the discovery by Shelah of "PCF Theory", a generalization of cardinal arithmetic that is largely determined inside ZFC. In this paper we consider interactions between these three theories in the context of singular cardinals, focusing on the various implications between square and scales, and on consistency results between relatively strong forms of square and stationary set reflection. (shrink)

The human serum protein α1‐antitrypsin is the major source of antiprotease activity found in the blood. The protein is synthesised primarily by liver cells but, to a lesser extent, by at least one other cell type. Expression of the gene has provided a paradigm for studies on transcriptional regulation in liver and of tissue‐specific promoter activity. The pleiomorphic nature of the gene has given rise to a variety of α1‐antitrypsin variants some of which are clinically important. These abnormal variants may (...) be poorly synthesised, rapidly degraded or inefficiently secreted; studies on the molecular mechanisms which underly these events are providing interesting insights into the general processes of protein transport and intracellular protein degradation. (shrink)

Theories of superior collicular and hippocampal function have remarkable similarities. Both structures have been repeatedly implicated in spatial and attentional behaviour and in inhibitory control of locomotion. Moreover, they share certain electrophysiological properties in their single unit responses and in the synchronous appearance and disappearance of slow wave activity. Both are phylogenetically old and the colliculus projects strongly to brainstem nuclei instrumental in the generation of theta rhythm in the hippocampal EECOn the other hand, close inspection of behavioural and electrophysiological (...) data reveals disparities. In particular, hippocampal processing mainly concerns stimulus ambiguity, contextual significance, and spatial relations or other subtle, higher order characteristics. This requires the use of largely preprocessed sensory information and mediation of poststimulus investigation. Although collicular activity must also be integrated with that of “higher” centres, its primary role in attention is more “peripheral” and specific in controlling orienting/localisation via eye and body movements toward egocentrically labelled spatial positions. In addition, the colliculus may exert a nonspecific influence in alerting higher centres to the imminence of information potentially worthy of focal attention. Nevertheless, it is noteworthy that collicular and hippocampal lesions produce deficits on similar tasks, although the type of deficit is usually different in each case. Functional overlap between hippocampus and colliculus is virtually certain vis-à-vis stimulus sampling, for example in the acquisition of information via vibrissal movements and visual scanning. In addition, insofar as stimulus significance is a factor in collicular orienting mechanisms, the hippocampus — cingulate – cortex — colliculus pathway may play a significant role, modulating collicular responsiveness and thus ensuring an attentional strategy appropriate to current requirements. A tentative “reciprocal loop” model is proposed which bridges physiological and behavioural levels of analysis and which would account for the observed degree and nature of functional overlap between the superior colliculus and hippocampus. (shrink)

We prove a number of consistency results complementary to the ZFC results from our paper [J. Cummings, M. Foreman, M. Magidor, Canonical structure in the universe of set theory: part one, Annals of Pure and Applied Logic 129 211–243]. We produce examples of non-tightly stationary mutually stationary sequences, sequences of cardinals on which every sequence of sets is mutually stationary, and mutually stationary sequences not concentrating on a fixed cofinality. We also give an alternative proof for the consistency of (...) the existence of stationarily many non-good points, show that diagonal Prikry forcing preserves certain stationary reflection properties, and study the relationship between some simultaneous reflection principles. Finally we show that the least cardinal where square fails can be the least inaccessible, and show that weak square is incompatible in a strong sense with generic supercompactness. (shrink)

Much has been written about the rights of health-care professionals to conscientiously object. Ironically, there has been no formal discussion as to whether clinical ethicists have the same right. Given that ethicists routinely deal with the same situations and questions that other health-care professionals find morally discomforting, the question as to whether they have the same right is a critical one. We conclude that ethicists should not have the same right to conscientious objection. The role of an ethicist is to (...) competently manage those situations and cases that cause moral discomfort and confusion. By conscientiously objecting, an ethicist would be failing to fulfil their primary function. The same cannot be said as forcefully about other professionals who object. Moreover, ethicists retain the right to conscientious objection to the joining of the discipline in the first place, and also retain the right to exit if they so choose. (shrink)

We start by studying the relationship between two invariants isolated by Shelah, the sets of good and approachable points. As part of our study of these invariants, we prove a form of “singular cardinal compactness” for Jensen's square principle. We then study the relationship between internally approachable and tight structures, which parallels to a certain extent the relationship between good and approachable points. In particular we characterise the tight structures in terms of PCF theory and use our characterisation to prove (...) some covering results for tight structures, along with some results on tightness and stationary reflection. Finally, we prove some absoluteness theorems in PCF theory, deduce a covering theorem, and apply that theorem to the study of precipitous ideals. (shrink)

It is shown in this paper that it is consistent (relative to almost huge cardinals) for various club guessing ideals to be saturated.

Children's consent to treatment remains a contentious topic, with confusing legal precepts and advice. This paper proposes that informed consent in children should be regarded as shared between children and their families, the balance being determined by implicit, developmentally based negotiations between child and parent--a "family rule" for consent. Consistent, operationalized procedures for ethically obtaining consent can be derived from its application to both routine and contentious situations. Therefore, use of the "family Rule" concept can consistently define negligent procedure in (...) obtaining consent from children, and could be used as a unifying framework in the development of new professional guidelines. A "guideline"-based approach to children's consent to treatment may offer greater individuality than a "rights"-based approach, though careful training and oversight will be needed for it to be effective. (shrink)

The Ethical Journalist gives aspiring journalists the tools they need to make responsible professional decisions. Provides a foundation in applied ethics in journalism Examines the subject areas where ethical questions most frequently arise in modern practice Incorporates the views of distinguished print, broadcast and online journalists, exploring such critical issues as race, sex, and the digitalization of news sources Illustrated with 24 real-life case studies that demonstrate how to think in 'shades of gray' rather than 'black and white' Includes questions (...) for class discussion and guides for putting important ethical concepts to use in the real world Accompanying website includes model course schedules, discussion guides, PowerPoint slides, sample quiz and exam questions and links to additional readings online: www.wiley.com/go/foreman. (shrink)

In 1932, von Neumann proposed classifying the statistical behavior of differentiable systems. Joint work of B. Weiss and the author proved that the classification problem is complete analytic. Based on techniques in that proof, one is able to show that the collection of recursive diffeomorphisms of the 2-torus that are isomorphic to their inverses is $\Pi ^0_1$-hard via a computable 1-1 reduction. As a corollary there is a diffeomorphism that is isomorphic to its inverse if and only if the Riemann (...) Hypothesis holds, a different one that is isomorphic to its inverse if and only if Goldbach’s conjecture holds and so forth. Applying the reduction to the $\Pi ^0_1$-sentence expressing “ZFC is consistent” gives a diffeomorphism T of the 2-torus such that the question of whether $T\cong T^{-1}$ is independent of ZFC. (shrink)

If ω n has the tree property for all $2 \leq n and $2^{ , then for all X ∈ H ℵ ω and $n exists.

Although it is widely held that we do not owe basic respect to nonhuman animals, a close examination of why we owe this respect to human beings leads to the conclusion that we owe it to nonhuman animals as well. While Kant’s basic notion of respect for persons is intuitively plausible, Kant’s two arguments for why respect is owed to human beings ultimately fail, and a reconsideration of which feature of human beings actually grounds the respect that humans are owed (...) is called for. Ultimately, it is not the robust rational autonomy that Kant suggests, but rather the basic subjectivity that underlies it (being the subject-of-a-life). Since this subjectivity is shared by nonhuman animals, they are owed respect as well. (shrink)

We define organic sets and organically stationary sequences, which generalize tight sets and tightly stationary sequences respectively. We show that there are stationary many inorganic sets and stationary many sets that are organic but not tight. Working in the Constructible Universe, we give a characterization of organic and tight sets in terms of fine structure. We answer a related question posed in [J. Cummings, M. Foreman, M. Magidor, Canonical structure in the universe of set theory: Part two, Ann. Pure (...) Appl. Logic 142 55–75] about the combinatorial principle Coherent Squares. (shrink)

If one believes that vegetarianism is morally obligatory, there are numerous ways to argue for that conclusion. In this paper, classic utilitarian and rights-based attempts to ground this obligation are considered, as well as Cora Diamond’s reframing of the debate in terms of the proper way to view other animals. After discussion of these three ways to ground the obligation and their problems, an attitude-based approach inspired by Diamond’s view is advanced. It is argued that such a view, by focusing (...) moral attention on the attitudes of agents as opposed to the actions they undertake, captures the important insights of all three views, while offering a better grounding for the obligation. This view is superior in that it succeeds in explaining the wrongness of a problem case, without committing one to rights or to a troublingly subjective understanding of moral concepts. (shrink)

This paper provides a sketch of an agent-centered way of understanding and answering the question, “What’s wrong with that?” On this view, what lies at the bottom of judgments of wrongness is a bad attitude; when someone does something wrong, she does something that expresses a bad, or inappropriate, attitude . In order to motivate this account, a general Kantian agent-centered ethics is discussed, as well as Michael Slote’s agent-based ethics, in light of analysis of the grounding role of attitudes (...) in the evaluation of two core cases. In light of these discussions, it is argued that there are advantages to preserving the grounding of the appropriateness of attitudes in facts about their objects , while cutting such an agent-centered ethics away from a Kantian grounding. (shrink)

This article examines the relationship between action research and policy and the kind of confidence teachers, policy makers and other potential users may have in such research. Many published teacher action research accounts are criticised on the grounds that they do not fully meet the conventional standards for reporting social scientific research, and by implication are held to be less trustworthy. Action research is nevertheless often seen by some academics and policy makers as a potential method for developing theory, disseminating (...) good practice, or raising standards. Through a discussion of three major approaches to action research—seen variously as professional learning, practical philosophy and critical social science—it is argued that judgements about confidence depend upon understanding the various kinds of knowledge claim that can be made by action researchers, and appropriate judgements concerning the strength of evidence or reasons. (shrink)

_Philosophical Perspectives on Teacher Education_ presents a series of well-argued essays about the ethical considerations that should be addressed in teacher training and educational policies and practices. Brings together philosophical essays on an underserved yet urgent aspect of teacher education Explores the kinds of ethical considerations that should enter into discussions of a teacher’s professional education Illuminates the knowledge and understanding that teachers need to sustain their careers and long-term sense of well being Represents an important resource to stimulate contemporary (...) debates about what the future of teacher education should be. (shrink)

This paper presents a view of action research as a valuable way in which teachers can pose fertile questions and engage in inquiry with transformative possibilities. This counters claims of its being at best a sterile method of teacher research and at worst a perilous trap for teachers.Chris Higgins has argued that AR has lost its original intention of empowering teachers and sealing the theory practice divide. He claims that it has degenerated into a method devoid of thought. In its (...) social science versions, it is harmful to the teacher–student relationship and teachers have been mislead into an impoverished idea of professional development. The impossible challenge for action research is to recover its original intention; impossible because the landscape of educational policy militates against it. The authors challenge Higgin's deep pessimism, his versions of AR and his negative account of the intellectual capacity of teachers. We argue that AR does empower teachers, integrates theory and practice and is alive and well, even though conditions in schools are not optimum. This argument is exemplified with numerous illustrations of actual AR projects, which evidence teachers’ participatory and collaborative work, in which they engage in positive change. There is scope for teachers wishing to develop ‘customised’ AR projects of their own in current conditions which have transformative potential in changing the practice of the individual teacher. This in turn supports building and participating in a ‘community of practice’, which strengthens the communal endeavour to contribute to good teaching and good education. (shrink)

How the Study of Consciousness and Mapping Spiritual Experiences Can Reshape Religious Methodology This special issue of the Journal of Consciousness Studies throws down a methodological challenge to the field of Religious Studies. Over the last half century, the academic study of religion has developed a variety of angles and approaches: structuralist, Eliadian, Marxist, feminist, and so on. Recently, approaches popular in many institutions and departments have centred on linguistic and cultural analysis, notably the postmodern and deconstructivist approaches championed by (...) Derrida and others. With the dawn of the interdisciplinary field of the study of human consciousness, and with this issue of the Journal of Consciousness Studies, we challenge this prevailing approach by presenting readers with articles analysing religion, spirituality, and spiritual experience, not solely as cultural phenomena, but as phenomena that can be related to human physiology, and a kind of pan-human technology of human spiritual development. (shrink)

Obligations of respect tend to be grounded in the moral relevance of features of creatures rather than in the creatures themselves. This is troubling for two reasons: (1) There is a difference between what we take the attitude of respect to be, and the way in which our theories structure our obligations, and (2) If the presence of a feature is what generates our obligations, then the creatures to whom we are obligated lose their claim on us if they lose (...) that feature. In light of these problems, I offer a formal analysis of respect according to which the objects of respect are creatures that have an irrevocable status derived from a particular value-conferring feature, and respect is recognition of the status of having such value. Further, creatures that lack the feature can also be objects of respect in virtue of being of a kind that normally has it. (shrink)

We introduce a natural principleStrong Chang Reflectionstrengthening the classical Chang Conjectures. This principle is between a huge and a two huge cardinal in consistency strength. In this note we prove that it implies the existence of an inner model with a huge cardinal. The technique we explore for building inner models with huge cardinals adapts to show thatdecisiveideals imply the existence of inner models with supercompact cardinals. Proofs for all of these claims can be found in [10].1,2.

It is becoming widely recognized that dissemination of research results to participants is an important action for the conclusion of a research study. Most research institutions have standardized consent documents or templates that they require their researchers to use. Consent forms are an ideal place to indicate that results of research will be provided to participants, and the practice of inserting statements to this effect is becoming more conventional. In order to determine the acceptance of this practice across Canada we (...) conducted an assessment of 121 institutional consent document templates from 65 institutions looking for language that endorsed results dissemination to participants. About half of the documents we examined had language included which stated that results should be made available. In an era where research participation in hospital settings and universities is becoming ubiquitous there should be a reciprocal expectation that results should be provide... (shrink)

Given the existence of “marginal human cases”, it is often argued that we must either acknowledge that some human beings have less moral status than some non-human animals, or commit to the idea that moral status is held by humans qua human. In this paper, the moves available on both sides are shown to be unsatisfactory, and an argument for moral status that avoids both of the standard positions is suggested. Ultimately, it is argued that the discussion of moral status (...) is confused when marginal human cases are seen as posing a unique, rather than a general, theoretical problem. (shrink)