The persistent educational challenges that fractions pose call for developing novel instructional methods to better prepare students for fraction learning. Here, we examined the effects of a 24-session, Cuisenaire rod intervention on a building block for symbolic fraction knowledge, continuous and discrete non-symbolic proportional reasoning, in children who have yet to receive fraction instruction. Participants were 34 second-graders who attended the intervention (intervention group) and 15 children who did not participate in any sessions (control group). As attendance at the intervention (...) sessions was irregular (median = 15.6 sessions, range = 1–24), we specifically examined the effect of the number of sessions completed on their non-symbolic proportional reasoning. Our results showed that children who attended a larger number of sessions increased their ability to compare non-symbolic continuous proportions. However, contrary to our expectations, they also decreased their ability to compare misleading discretized proportions. In contrast, children in the Control group did not show any change in their performance. These results provide further evidence on the malleability of non-symbolic continuous proportional reasoning and highlight the rigidity of counting knowledge interference on discrete proportional reasoning. (shrink)

One of the most recent controversies to arise in the field of bioethics concerns the ethics for the Groningen Protocol: the guidelines proposed by the Groningen Academic Hospital in The Netherlands, which would permit doctors to actively euthanise terminally ill infants who are suffering. The Groningen Protocol has been met with an intense amount of criticism, some even calling it a relapse into a Hitleresque style of eugenics, where people with disabilities are killed solely because of their handicaps. The purpose (...) of this paper is threefold. First, the paper will attempt to disabuse readers of this erroneous understanding of the Groningen Protocol by showing how such a policy does not aim at making quality-of-life judgements, given that it restricts euthanasia to suffering and terminally ill infants. Second, the paper illustrates that what the Groningen Protocol proposes to do is both ethical and also the most humane alternative for these suffering and dying infants. Lastly, responses are given to some of the worries expressed by ethicists on the practice of any type of non-voluntary active euthanasia. (shrink)

In this target article the following hypotheses are discussed: (1) Colour is autonomous: a perceptuolinguistic and behavioural universal. (2) It is completely described by three independent attributes: hue, brightness, and saturation: (3) Phenomenologically and psychophysically there are four unique hues: red, green, blue, and yellow; (4) The unique hues are underpinned by two opponent psychophysical and/or neuronal channels: red/green, blue/yellow. The relevant literature is reviewed. We conclude: (i) Psychophysics and neurophysiology fail to set nontrivial constraints on colour categorization. (ii) Linguistic (...) evidence provides no grounds for the universality of basic colour categories. (iii) Neither the opponent hues red/green, blue/yellow nor hue, brightness, and saturation are intrinsic to a universal concept of colour. (iv) Colour is not autonomous. (shrink)

Psychoactive drugs are being prescribed to millions of Americans at an increasing rate. In many cases these drugs are necessary in order to overcome debilitating emotional problems. Yet in other instances, these drugs are used to supplant, not supplement, interpersonal therapy. The process of overcoming emotional obstacles by introspection and the attainment of self knowledge is gradually being eroded via the gratuitous use of psychoactive medication in order to rapidly attain a release from the common problems that life inevitably presents (...) us with. In this paper, I argue that Kant’s formula of humanity, which maintains that persons ought never to treat others or themselves soley as a means to an end, proscribes this. Moreover, Kant argues that we have an imperfect duty of self development, and I argue that we fail to adhere to such a duty whenever we seek to evade the process of introspection and self knowledge in favour of the expedient results that drugs may provide us with as we attempt to overcome the emotional hurdles in our lives. (shrink)

This paper distinguishes four major types of futility (physiological, imminent demise, lethal condition, and qualitative) that have been advocated in the literature either in a patient dependent or a patient independent fashion. It proposes five criteria (precision, prospective, social acceptability, significant number, and non-agreement) that any definition of futility must satisfy if it is to serve as the basis for unilaterally limiting futile care. It then argues that none of the definitions that have been advocated meet the criteria, primarily because (...) their proponents have not paid sufficient attention to the problematic nature of the data supporting the use of their definitions. (shrink)

A number of recent arguments purport to show that imprecise credences are incompatible with accuracy-first epistemology. If correct, this conclusion suggests a conflict between evidential a...

Background: Older, frail patients with multimorbidity are at an especially high risk for disease severity and death from COVID-19. The social restrictions proved challenging for the residents, their relatives, and the care staff. While these restrictions clearly impacted daily life in Norwegian nursing homes, knowledge about how the pandemic influenced nursing practice is sparse. Aim: The aim of the study was to illuminate ethical difficult situations experienced by Norwegian nurses working in nursing homes during the COVID-19 pandemic. Research design and (...) participants: The research design involved semistructured individual interviews conducted with 15 nurses working in 8 nursing homes in 3 health regions in Norway, within both urban and rural areas. Ethical considerations: Oral and written information about the study was provided before the participants gave their written consent. The transcribed interviews were de-identified. The study was approved by the Norwegian Centre for Research Data. Findings: Four ethical difficult situations were identified: (a) turning the nursing home into a prison; (b) using medication to maintain peace and order; (c) being left alone with the responsibility; and (d) s. impact on decision-making. Conclusions: The nurses’ ethical challenges were intertwined with external factors, such as national and local guidelines, and the nurses’ own internalized factors, which were connected to their subjective professionality. This duality inflicted emotional distress and gave nurses few opportunities to perform nursing in a professionally sound and safe manner. (shrink)

This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is (...) of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures. (shrink)

H. Tristram Engelhardt has made profound contributions to both philosophical and religious bioethics, and his philosophical and religious works may be read in mutually illuminating ways. As a philosopher, Engelhardt has mustered a powerful critique of secular efforts to develop a shared substantive morality. As a religious scholar, Engelhardt has affirmed a Christian bioethics that does not emanate from human rationality but from the experience of God found in Orthodox Christianity. In this collection of essays, both defenders and critics of (...) Engelhardt's religious bioethics have their say, and the spirited nature of their discussion attests, in its own right, to Engelhardt's enduring influence. (shrink)

: According to a consensus of psycho-physiological and philosophical theories, color sensations (or qualia) are generated in a cerebral "space" fed from photon-photoreceptor interaction (producing "metamers") in the retina of the eye. The resulting "space" has three dimensions: hue (or chroma), saturation (or "purity"), and brightness (lightness, value or intensity) and (in some versions) is further structured by primitive or landmark "colors"—usually four, or six (when white and black are added to red, yellow, green and blue). It has also been (...) proposed that there are eleven semantic universals—labeling the previous six plus the "intermediaries" of orange, pink, brown, purple, and gray. There are many versions of this consensus, but they all aim to provide ontological, epistemological and semantic blueprints for the brute fact of the reality of color ordained by Nature (evolution). In contrast to this consensus, we have argued that "seeing color" is not a matter of light waves impacting on our eyes, producing sensations to be categorized and labeled in the "color space" in the brain. While electrochemical events may unproblematically be regarded as the causal precondition for seeing color, the reception of sensations in "the color space" as semantically labeled natural categories, kinds, or information, is a "just so" story: it is Wittgenstein's beetle in a box. In contrast we consider that the authority of this consensus might better be regarded not as the result of the truth-tracking of nature, but as the sociohistorical outcome of philosophical presuppositions, scientific theories, experimental practices, technological apparatus, and their feed forward into the lifeworld. The question we shall therefore explore is whether, or to what extent, we ourselves are changed, as the conditions of production of color science change. Thus we are doing a kind of anthropology at two levels: of color science itself (and its effect on our own lifeworld), and of those studied by the "anthropology of color". As befits this stance we are agnostic about the theoretical entities of color science (cf. van Fraassen 2001), and within this new context, we propose to cross-cut object-and-subject, organism-and-environment (the bedrock of color science) in socio-historical ways. Our approach is in part inspired by, but not the same as, that of Gibson, in that we wish to pursue the notion of "social affordances" (Burmudez 1995). We suggest that color has become a naturalization through science-based technologies, which, through praxes and materializations, have become the perceptual and cultural entities that structure experience and understanding in the lifeworld. It is this naturalization that we shall refer to and characterize as "the historically inflected exosomatic organ". Consequently we shall explore the historical ontology of "color" without assuming an underlying biological constant (Dupré 2001). In part 1 we show the flimsiness of the evidence for the three dimensions of color, borrowed from physics, and fine-tuned to a "standard observer" (a "spectral creature" with a phenomenal "color space"). In part 2 we address the structuring of hue through the development of color circles and color spaces. This is followed by a review of the evidence for unique hues. Again the evidence is shown to be flimsy. We then show that an isolated domain of color is a particular kind of model, not a "natural given". In part 3, after reviewing what is referred to as "the isomorphy thesis," we discuss the exemplary case study of Berlin and Kay (1969). This illustrates the pull of stadial models presupposed by their evolutionary theory of color language. The Berlin and Kay paradigm proposes that American English color terms are incorrigible and can provide the universal metalanguage. We conclude by presenting an alternative account, namely that we ourselves are changed as the conditions of production of color science change. We argue that it is better to regard "seeing-color" as a historically inflected exosomatic organ that provides social affordances for those trained to grasp them. (shrink)

Neuronal aggregates involved in conscious awareness are not evenly distributed throughout the CNS but comprise key components referred to as the neural network correlates of consciousness (NNCC). A critical node in this network is the posterior cingulate, precuneal, and retrosplenial cortices. The cytological and neurochemical composition of this region is reviewed in relation to the Brodmann map. This region has the highest level of cortical glucose metabolism and cytochrome c oxidase activity. Monkey studies suggest that the anterior thalamic projection likely (...) drives retrosplenial and posterior cingulate cortex metabolism and that the midbrain projection to the anteroventral thalamic nucleus is a key coupling site between the brainstem system for arousal and cortical systems for cognitive processing and awareness. The pivotal role of the posterior cingulate, precuneal, and retrosplenial cortices in consciousness is demonstrated with posterior cingulate epilepsy cases, midcingulate lesions that de-afferent this region and are associated with unilateral sensory neglect, observations from stroke and vegetative state patients, alterations in blood flow during sleep, and the actions of general anesthetics. Since this region is critically involved in self reflection, it is not surprising that it is similarly a site for the NNCC. Interestingly, information processing during complex cognitive tasks and during aversive sensations such as pain induces efforts to terminate self reflection and result in decreased processing in posterior cingulate and precuneal cortices. (shrink)