We investigate and extend the notion of a good approximation with respect to the enumeration ${({\mathcal D}_{\rm e})}$ and singleton ${({\mathcal D}_{\rm s})}$ degrees. We refine two results by Griffith, on the inversion of the jump of sets with a good approximation, and we consider the relation between the double jump and index sets, in the context of enumeration reducibility. We study partial order embeddings ${\iota_s}$ and ${\hat{\iota}_s}$ of, respectively, ${{\mathcal D}_{\rm e}}$ and ${{\mathcal D}_{\rm T}}$ (the Turing (...) degrees) into ${{\mathcal D}_{\rm s}}$ , and we show that the image of ${{\mathcal D}_{\rm T}}$ under ${\hat{\iota}_s}$ is precisely the class of retraceable singleton degrees. We define the notion of a good enumeration, or singleton, degree to be the property of containing the set of good stages of some good approximation, and we show that ${\iota_s}$ preserves the latter, as also other naturally arising properties such as that of totality or of being ${\Gamma^0_n}$ , for ${\Gamma \in \{\Sigma,\Pi,\Delta\}}$ and n > 0. We prove that the good enumeration and singleton degrees are immune and that the good ${\Sigma^0_2}$ singleton degrees are hyperimmune. Finally we show that, for singleton degrees a s < b s such that b s is good, any countable partial order can be embedded in the interval (a s, b s). (shrink)

This essay explores connections between bacteriology and the disciplinary evolution of biochemistry in this country during the 1930s. Many features of intermediary metabolism, a central component of biochemistry, originated as attempts to answer fundamental bacteriological questions. Thus, many bacteriologists altered their research programs to answer these questions. In so doing they changed their disciplinary focus from bacteriology to biochemistry. Chester Hamlin Werkman's (1893-1962) Iowa State career illustrates the research perspective that many bacteriologists adopted. As a junior faculty member in the (...) Bacteriology Department in the late 1920s, Werkman faced a powerful professional dilemma: establishing a research identity that distinguished him from his colleagues with flourishing national and international reputations. His solution was to radically alter his research program from traditional bacteriology to a biochemistry program, which reflected the influence of the Dutch microbiologist/biochemist, Albert Jan Kluyver (1888-1956). Werkman was extremely successful in this career change. His laboratory made significant contributions to biochemistry, and Werkman achieved a notable degree of personal success. His career began in the shadow of his departmental bacteriological colleagues; within a decade he became the department's dominant research figure, as a biochemist. Werkman's personal success, however, had profound consequences for the disciplinary future of bacteriology at Iowa State. (shrink)

We combine two techniques of set theory relating to minimal degrees of constructibility. Jensen constructed a minimal real which is additionally a Π 1 2 singleton. Groszek built an initial segment of order type 1 + α * , for any ordinal α. This paper shows how to force a Π 1 2 singleton such that the c-degrees beneath it, all represented by reals, are of type 1 + α * , for many ordinals α. We (...) also examine the definability α needs to be so represented by a real. (shrink)

In this work, we study computable families of Turing degrees introduced and first studied by Arslanov and their numberings. We show that there exist finite families of Turing c.e. degrees both those with and without computable principal numberings and that every computable principal numbering of a family of Turing degrees is complete with respect to any element of the family. We also show that every computable family of Turing degrees has a complete with respect to each (...) of its elements computable numbering even if it has no principal numberings. It follows from results by Mal’tsev and Ershov that complete numberings have nice programming tools and computational properties such as Kleene’s recursion theorems, Rice’s theorem, Visser’s ADN theorem, etc. Thus, every computable family of Turing degrees has a computable numbering with these properties. Finally, we prove that the Rogers semilattice of each such non-empty non-singleton family is infinite and is not a lattice. (shrink)

Twelve years ago the British media got wind of a London gynecologist who performed an elective reduction on a twin pregnancy reducing it to a singleton. Perhaps not surprisingly, opinion on the moral status of twin reductions was divided. But in the last few years new evidence regarding the medical risks of twin pregnancies has emerged, suggesting that twin reductions are relevantly similar to the reductions performed on high‐end multi‐fetal pregnancies. This evidence has appeared to resolve the moral debate.In (...) this paper I look at the role of clinical evidence in medical ethics. In particular I examine the role of clinical evidence in determining what counts as a significant harm or risk. First, I challenge the extent to which these empirical claims are descriptive, suggesting instead that the evidence is to some degree normative in character. Second, I question whether such empirical claims should count as evidence for what are essentially difficult ethical decisions – a role they appear to play in the case of elective reductions. I will argue that they should not, primarily because the value‐laden nature of this evidence conceals much of what is ethically at stake. It is important to recognize that empirical evidence cannot be a substitute for ethical deliberation. (shrink)

This paper continues joint work of the authors with P. Clote, R. Soare and S. Wainer (Annals of Pure and Applied Logic, vol. 31 (1986), pp. 145--163). An element x of the Cantor space 2 ω is said have rank α in the closed set P if x is in $D^\alpha(P)\backslash D^{\alpha + 1}(P)$ , where D α is the iterated Cantor-Bendixson derivative. The rank of x is defined to be the least α such that x has rank α in (...) some Π 0 1 set. The main result of the five-author paper is that for any recursive ordinal λ + n (where λ is a limit and n is finite), there is a point with rank λ + n which is Turing equivalent to O (λ + 2n) . All ranked points constructed in that paper are Π 0 2 singletons. We now construct a ranked point which is not a Π 0 2 singleton. In the previous paper the points of high rank were also of high hyperarithmetic degree. We now construct ▵ 0 2 points with arbitrarily high rank. We also show that every nonrecursive RE point is Turing equivalent to an RE point of rank one and that every nonrecursive ▵ 0 2 point is Turing equivalent to a hyperimmune point of rank one. We relate Clote's notion of the height of a Π 0 1 singleton in the Baire space with the notion of rank. Finally, we show that every hyperimmune point x is Turing equivalent to a point which is not ranked. (shrink)

Compared to existing classical approaches to semiotics which are dyadic (signifier/signified, F. de Saussure) and triadic (symbol/concept/object, Ch. S. Peirce), this theory can be characterized as tetradic ([sign/semion]//[object/noema]) and is the result of either doubling the dyadic approach along the semiotic/ordinary dimension or splitting the ‘concept’ of the triadic one into two (semiotic/ordinary). Other important features of this approach are (a) the distinction made between concepts (only functional pairs of extent and intent) and categories (as representations of expressions) and (b) (...) the indication of the need for providing the mathematical passage from the duality between two sets (where one is a singleton) within systems of sets to category-theoretical monoids within systems of categories while waiting for the solution of this problem in the field of logic. Last but not least, human language expressions are the most representative physical instances of semiotic objects. Moreover, as computational experiments which are possible with linguistic objects present a high degree of systematicity (of oppositions), in general, it is relatively easy to elucidate their dependence on the concepts underlying signs. This new semiotic theory or rather this new research program emerged as the fruit of experimentation and reflection on the application of data science tools elaborated within the frameworks of Rough Set Theory (RST), Formal Context Analysis (FCA) and, though only theoretically, Distributed Information Logic (DIL). The semiotic objects (s-objects) of this theory can be described in tabular datasets. Nevertheless, at this stage of formalisation of the theory, lattices (not trees) can be used as working representation structures for characterizing the components of concept systems and graphs for categories of each layer. (shrink)

Let (L; f) be a finite simple Ockham algebra and let (X;g) be its dual space. We first prove that every connected component of X is either a singleton or a generalised crown (i.e. an ordered set that is connected, has length 1, and all vertices of which have the same degree). The representation of a generalised crown by a square (0,1)-matrix in which all line sums are equal is used throughout, and a complete description of X, including the (...) number of connected components and the degree of the vertices, is given. We then examine the converse problem of when a generalised crown can be made into a connected component of (X; g). We also determine the number of non-isomorphic finite simple Ockham algebras that belong properly to a given subvariety P 2n,0. Finally, we show that the number of fixed points of (L; f) is 0,1, or 2 according to the nature of X. (shrink)

In this contribution to the Common Knowledge symposium “Fuzzy Studies,” the authors, all of whom work in the field of science, technology, and society, begin from the assumption that, as Bruno Latour has put it, “we have never been modern.” They accept the STS thesis that, while modern practices purport to be entirely rational and coherent, on closer inspection they turn out to be as much noncoherent as coherent. This article poses the question of what forms “noncoherences” take and how (...) they are managed. The basic argument is that there is a range of styles of noncoherence or “modes of syncretism.” In small case studies, the authors identify six such modes or styles, which they term denial, domestication, separation, care, conflict, and collapse. Given that consistency and coherence seem less important now than they were once taken to be — and given that the conditions of possibility for purity are, in any case, in decline — this list and its supporting case studies, while not meant to be definitive, are offered as a way of understanding how practices that do not cohere may still function and fit together admirably. (shrink)

As the first of its kind this collection draws together cutting edge scholarship in the field, focusing on the theory and practice of yoga in contemporary times ...

The Dutch microbiologist/biochemist Albert Jan Kluyver was an early proponent of the idea of biochemical unity, and how that concept might be demonstrated through the careful study of microbial life. The fundamental relatedness of living systems is an obvious correlate of the theory of evolution, and modern attempts to construct phylogenetic schemes support this relatedness through comparison of genomes. The approach of Kluyver and his scientific descendants predated the tools of modern molecular biology by decades. Kluyver himself is poorly recognized (...) today, yet his influence at the time was profound. Through lens of today however, it has been argued that the focus by Kluyver and others to create taxonomic and phylogenetic schemes using morphology and biochemistry distorted and hindered progress of the discipline of microbiology, because of a perception that the older approaches focused too much on a reductionist worldview. This essay argues that in contrast the careful characterization of fundamental microbial metabolism and physiology by Kluyver made many of the advances of the latter part of the twentieth century possible, by offering a framework which in many respects anticipated our current view of phylogeny, and by directly and indirectly training a generation of scientists who became leaders in the explosive growth of biotechnology. (shrink)

Contemporary theories of Virtue Ethics are often presented as being in opposition to Kantian Ethics and Consequentialism. It is argued that Virtue Ethics takes as fundamental the question, “What sort of character would a virtuous person have?” and that Kantian Ethics and Consequentialism take as fundamental the question, “What makes an action right?” I argue that this opposition is misconceived. The opposition is rather between Virtue Ethics and Kantian Ethics on the one hand and Consequentialism on the other. The former (...) two are concerned with, respectively, the development of a virtuous character and a good will, whereas Consequentialism is essentially a doctrine that just provides a justification of the right option without specifying how this is to be achieved. Furthermore, I show that Consequentialism, interpreted as a justificatory doctrine, is both an impoverished doctrine and one that cannot be enriched by taking a “pick and mix” approach to other ethical theories in the way that Consequentialists advocate. I argue that there is at least one reason to prefer Kantian Ethics: Kantian Ethics necessarily avoids the objection of selfcenteredness, whereas the avoidance of this objection is only contingent in the case of Virtue Ethics. (shrink)

Contemporary theories of Virtue Ethics are often presented as being in opposition to Kantian Ethics and Consequentialism. It is argued that Virtue Ethics takes as fundamental the question, “What sort of character would a virtuous person have?” and that Kantian Ethics and Consequentialism take as fundamental the question, “What makes an action right?” I argue that this opposition is misconceived. The opposition is rather between Virtue Ethics and Kantian Ethics on the one hand and Consequentialism on the other. The former (...) two are concerned with, respectively, the development of a virtuous character and a good will, whereas Consequentialism is essentially a doctrine that just provides a justification of the right option without specifying how this is to be achieved. Furthermore, I show that Consequentialism, interpreted as a justificatory doctrine, is both an impoverished doctrine and one that cannot be enriched by taking a “pick and mix” approach to other ethical theories in the way that Consequentialists advocate. I argue that there is at least one reason to prefer Kantian Ethics: Kantian Ethics necessarily avoids the objection of selfcenteredness, whereas the avoidance of this objection is only contingent in the case of Virtue Ethics. (shrink)

Yoga is hugely popular around the world today, yet until now little has been known of its roots. This book collects, for the first time, core teachings of yoga in their original form, translated and edited by two of the world's foremost scholars of the subject. It includes a wide range of texts from different schools of yoga, languages and eras: among others, key passages from the early Upanisads and the Mahabharata, and from the Tantric, Buddhist and Jaina traditions, with (...) many pieces in scholarly translation for the first time. Covering yoga's varying definitions across systems, models of the esoteric and physical bodies, and its most important practices, such as posture, breath control, sensory withdrawal and meditation, Roots of Yoga is a unique and essential source of knowledge. (shrink)

Background: Randomized controlled trials have been criticized for their inability to identify and differentiate the causal mechanisms that generate the outcomes they measure. One solution is the development of realist trials that combine the empirical precision of trials' outcome data with realism's theoretical capacity to identify the powers that generate outcomes. Main Body: We review arguments for and against this position and conclude that critical realist trials are viable. Using the example of an evaluation of the educational effectiveness of virtual (...) reality simulation, we explore whether Partial Least Squares Structural Equation Modelling can move statistical analysis beyond correlational analysis to support realist identification of the mechanisms that generate correlations. Conclusion: We tentatively conclude that PLS-SEM, with its ability to identify ‘points of action’, has the potential to provide direction for researchers and practitioners in terms of how, for whom, when, where and in what circumstances an intervention has worked. (shrink)

This book details the underlining philosophical approaches to ethical theories and how these can be used to structure an approach to day-to-day ethical issues, and thereby resolve them. It provides an understanding of the ethical theories which underpin decisions in health care by first laying the foundation with a philosophical framework and then going on to develop this into an examination of contemporary health care dilemmas and professional issues. Not available in the U.S.

In this article I shall be supporting two main claims. The first is that the essence of the difference between particularism and generalism lies in where they locate ethical correctness. The second is that generalism, although to be preferred to particularism, is not the final resting place for ethical correctness. Ultimately, ethical correctness resides in ethical theories that provide the rationale for generalism. Particularism is presented as a theory that allows attention to be paid to specific cases and shows a (...) sensitivity to the particular case. Generalism, with its appeal to moral principles, is supposed to lack this sensitivity to specific cases. I argue that although this might be true of subsumptive generalism, it is not true of what I call judgmental generalism. This latter type of generalism retains an appeal to moral principles while requiring sensitivity to the particular case. I consider Kantian ethics as an example of this sort of generalism. Furthermore, I support the claim that this judgmental generalism is to be preferred to particularism. I argue against a prominent form of particularism, put forward by Jonathan Dancy, based on an appeal to the holism of reasons. This doctrine involves the claim that the value of a complex whole is not necessarily identical with the value of its parts. I show that Dancy’s discussion of this involves inconsistencies and also appears to incorporate subsumptive generalism. This statement of particularism is ultimately incoherent. (shrink)

Put briefly: perhaps the entire evolution of the spirit is a question of the body; it is the history of the development of a higher body that emerges into our sensibility. The organic is rising to yet higher levels. Our lust for knowledge of nature is a means through which the body desires to perfect itself. Or rather: hundreds of thousands of experiments are made to change the nourishment, the mode of living and of dwelling in the body; consciousness and (...) evaluations in the body, all kinds of pleasure and displeasure, are signs of these changes and experiments. In the long run, it is not a question of man at all: he is to be overcome (Nietzsche 1967: 358). (shrink)

Reading Beauvoir's “Must We Burn Sade?” alongside the chapter called “Sexual Initiation” in The Second Sex, I argue that the problem with Sade is not his perversity, but his perpetual virginity. In The Second Sex, Beauvoir advances a new understanding of sexual initiation as a physical and spiritual movement toward the other, disqualifying any purely physical machination as sufficient to initiate one into “authentic erotic reality.” Sade's refusal of Eros as described in “Must We Burn Sade?” demonstrates that the Marquis's (...) commitment to his characteristic Sadism in fact condemned him to a barren promiscuity, a trenchant and joyless virginity that he elected to perpetuate. Finally, I argue that we should reread Sadism not as a perversion but as based on the Greek model of the “virgin ailment.” As such, Sadism may turn out to be a more genuine and widespread threat than we ordinarily acknowledge. (shrink)

Gaze behavior is an important component of children’s language, cognitive, and sociocultural development. This is especially true for young deaf children acquiring a signed language—if they are not looking at the language model, they are not getting linguistic input. Deaf caregivers engage their deaf infants and toddlers using visual and tactile strategies to draw in, support, and promote their child’s visual attention; we argue that these caregiver actions create a developmental niche that establishes the visual modality capital their child needs (...) for successful sign language learning. But most deaf children do not have deaf signing parents and they will need to rely on adult signing teachers if they are to acquire a signed language at an early age. This study examines classroom interactions between a Deaf teacher, her teacher’s aide, and six deaf preschoolers to document the teachers’ “everyday practices” as they socialize the gaze behavior of these children. Utilizing a detailed behavioral and linguistic analysis of two video-recorded book-sharing contexts, we present data summarizing the teacher’s attention-getting actions directed toward the children and the discourse-embedded cues that signal the teacher’s expectations for student participation in the signed conversation. We observed that the teacher’s behaviors differed according to the parent status of the deaf preschooler suggesting that Deaf children of Deaf parents arrive to the preschool classroom with well-developed self-regulation of their attention or gaze. The teachers also used more physical and explicit cueing with the deaf children of hearing parents—possibly to promote their ability to leverage the visual modality for sign language acquisition. We situate these socialization patterns within a framework that integrates notions of intuitive or indigenous practices, developmental niche, and modality capital. Implications for early childhood deaf education are also discussed. (shrink)

This article presents a review of the literature, summarizes current initiatives, and provides a heuristic for assessing the effectiveness of a range of institutional review board collaborative strategies that can reduce the regulatory burden of ethics review while ensuring protection of human subjects, with a particular focus on international research. Broad adoption of IRB collaborative strategies will reduce regulatory burdens posed by overlapping oversight mechanisms and has the potential to enhance human subjects protections.

In lieu of an abstract, here is a brief excerpt of the content:Henry James—Aristotle's Ally, An Exclusive Pact?Jane SingletonIMany claims are advanced for the importance of narrative art works in philosophy. This paper will concentrate on one specific thesis put forward by Martha Nussbaum about the relationship between certain works of literature and moral philosophy. Although Nussbaum explores many roles for narrative artworks in philosophy,1 I shall concentrate on those works where she argues for a close connection between the novels (...) of Henry James and Aristotle's ethics. These are Love's Knowledge,2 where other authors other than James are also considered, and "Exactly and Responsibly: A Defense of Ethical Criticism," an article that formed part of a debate with Richard Posner and Wayne Booth in 1997 and 1998 in Philosophy and Literature.3 It is this latter work that provides the central thesis to be considered.I argue that there are least four possible attributes or combinations of them that Nussbaum might be suggesting are present in James's novels when she claims that James is an ally of Aristotle. My claim will be that James can only be regarded as an ally of Aristotle with respect to some of these attributes. It is a second question to determine precisely how the legitimate attributes isolated in James's novels are to be used to provide an ally for Aristotle's ethics. I shall claim that in any sense in which it is legitimate to regard James as an ally of Aristotle, he could also be regarded as an ally of a generalist theory. This is an important point to emphasise since Nussbaum explicitly enlists James as an ally of Aristotle because of the normative primacy that he gives to the particular. I shall use Kant's theory as an example of a generalist theory. Henry [End Page 61] James, I argue, can be an ally of both Aristotle and Kant but both can adopt an isolationist policy.IIThe specific thesis put forward by Nussbaum in 1998 is as follows:My claim is that in order to investigate this Aristotelian ethical view fully and fairly, we need to turn to texts in which the case for that sort of rationality is made out in a powerful and convincing way—and this cannot be done if we confine ourselves to works written in the abstract style characteristic of most contemporary theory... Aristotle's conception is much more dependent on "allies" who will make out the force of such obscure claims as the claim that "the discernment rests with perception," and that correct action "lies in a mean." Because Aristotle's conception leaves so much to particularized contextual judgment, one cannot well assess the conception without studying complex examples of such particularized judgment; and of course Aristotle's text does not supply such material. I claim that Henry James is a powerful ally of Aristotle, and one whom Aristotle badly needs if he is to convince us of his claims.("ER," pp. 347–48)It is the clarification and discussion of this that provides my point of departure. I shall then consider the four possible characteristics of James's novels that I have isolated. These are: exemplars of good choice, illustrations of the direction of thought to follow for the discernment of the particular, vehicles for developing imagination and sources that enable us to develop an understanding of and engagement of emotions. In each case I shall consider how, if at all, these characteristics enable James to be an ally of either Aristotle or Kant.IIINussbaum's thesis is limited to the late novels of James. "I assert that there is a distinctive type of ethical view... that requires literary works of a very specific type, primarily exemplified by the late novels of James, for its complete investigation" ("ER," p. 348). These include The Wings of the Dove (1902), The Ambassadors (1903), and The Golden Bowl (1904). I shall use examples from each of these although, as Posner notes, The Wings of The Dove, is one book that Nussbaum does not discuss in the article.4 [End Page 62]What attributes or characteristics do these late novels of James possess? They all have in common... (shrink)

Kant starts the Groundwork of the Metaphysics of Morals by emphasizing the importance of separating the a priori or rational part of moral philosophy from the a posteriori or empirical aspects. Indeed, he reserves the term moral philosophy for the rational part. He writes ‘ethics … the empirical part might be given the special title practical anthropology, the term moral philosophy being properly used to refer just to the rational part’. Throughout his writings in both theoretical and practical philosophy the (...) distinction between what is a priori and what is a posteriori is given paramount importance. We need to separate that which has its source a priori from its application to, for example human beings. (shrink)

The nucleon spin problem raises experimental and theoretical questions regarding the contribution of the orbital angular momentum of the quarks to the total spin of the nucleon. In this article we examine the commutation relationships of various operators that contribute to the total angular momentum of the nucleon. We find that the sum of the orbital plus gluon field angular momenta should satisfy the angular momentum commutators, at least up to the one-loop level. This, requirement on the sum of these (...) operators imposes a non-trivial restriction on the form of the color electric and magnetic fields. This is similar to the magnetic monopole/electric charge system where it is only the sum of the orbital plus field angular momentum that satisfies the correct commutation relationships. (shrink)