Apostoli and Brown have shown that the class of formulae valid with respect to the class of -ary relational frames is completely axiomatized by Kn: an n-place aggregative system which adjoins [RM], [RN], and a complete axiomatization of propositional logic, with [Kn]:□α1 ∧...∧□αn+1 → □2/ is the disjunction of all pairwise conjunctions αi∧αj )).Their proof exploits the chromatic indices of n-uncolourable hypergraphs, or n-traces. Here, we use the notion of the χ-product of a family of sets to formulate an alternative (...) definition of an n-trace, which in turn enables a new and simpler completeness proof. (shrink)

: Aristotle struggles with two basic tensions in his understanding of reality or substance that have parallels in Indian metaphysical speculation. The first of these tensions, between the understanding of reality as the underlying substrate (to hupokeimenon) and as the individual "this" (tode ti), finds a parallel in the concept of dravya in Patañjali's Mahābhāsa. The second tension, between the understanding of reality as the individual this and as the intelligible essence of the individual this (to ti ēn einai), corresponds (...) to an ambiguity in the concept of vastu in Kumārila's Ślokavārttika. (shrink)

A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes (...) the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features: The text is aimed at transition courses preparing students to take analysis Promotes creativity, intuition, and accuracy in exposition The language of proof is established in the first two chapters, which cover logic and set theory Includes chapters on cardinality and introductory topology. (shrink)

Genomic research—including whole genome sequencing and whole exome sequencing—has a growing presence in contemporary biomedical investigation. The capacity of sequencing techniques to generate results that go beyond the primary aims of the research—historically referred to as “incidental findings”—has generated considerable discussion as to how this information should be handled—that is, whether incidental results should be returned, and if so, which ones.Federal regulations governing most human subjects research in the United States require the disclosure of “the procedures to be followed” in (...) the research as part of the informed consent process. It seems reasonable to assume—and indeed, many commentators have concluded—that genomic investigators will be expected to inform participants about, among other procedures, the prospect that incidental findings will become available and the mechanisms for dealing with them. Investigators, most of whom will not have dealt with these issues before, will face considerable challenges in framing meaningful disclosures for research participants.To help in this task, we undertook to identify the elements that should be included in the informed consent process related to incidental findings. We did this by surveying a large number of genomic researchers (n = 241) and by conducting in‐depth interviews with a smaller number of researchers (n = 28) and genomic research participants (n = 20). Based on these findings, it seems clear to us that routine approaches to informed consent are not likely to be effective in genomic research in which the prospect of incidental findings exists. Ensuring that participants’ decisions are informed and meaningful will require innovative approaches to dealing with the consent issue. We have identified four prototypical models of a consent process for return of incidental findings. (shrink)

Two experiments examined the typicality structure of contrasting political categories. In Experiment 1, two separate groups of participants rated the typicality of 15 individuals, including political figures and media personalities, with respect to the categories Democrat or Republican. The relation between the two sets of ratings was negative, linear, and extremely strong, r = −.9957. Essentially, one category was treated as a mirror image of the other. Experiment 2 replicated this result, showing some boundary conditions, and extending the result to (...) liberal and conservative categories. The same method was applied to two other pairs of contrasting categories, healthy and junk foods, and male and female jobs. For those categories, the relation between contrasting pairs was weaker and there was less of a direct trade-off between typicality in one category versus typicality in its opposite. The results are discussed in terms of implications for political decision making and reasoning, and conceptual representation. (shrink)

In his latest book, Eric Scerri presents a completely original account of the nature of scientific progress. It consists of a holistic and unified approach in which science is seen as a living and evolving single organism. Instead of scientific revolutions featuring exceptionally gifted individuals, Scerri argues that the "little people" contribute as much as the "heroes" of science. To do this he examines seven case studies of virtually unknown chemists and physicists in the early 20th century quest to discover (...) the structure of the atom. They include the amateur scientist Anton van den Broek who pioneered the notion of atomic number as well as Edmund Stoner a then physics graduate student who provided the seed for Pauli's Exclusion Principle. Another case is the physicist John Nicholson who is virtually unknown and yet was the first to propose the notion of quantization of angular momentum that was soon put to good use by Niels Bohr. Instead of focusing on the logic and rationality of science, Scerri elevates the role of trial and error and multiple discovery and moves beyond the notion of scientific developments being right or wrong. While criticizing Thomas Kuhn's notion of scientific revolutions he agrees with Kuhn that science is not drawn towards an external truth but is rather driven from within. The book will enliven the long-standing debate on the nature of science, which has increasingly shied away from the big question of "what is science?". (shrink)

It has become customary to conceptualize the living cell as an intricate piece of machinery, different to a man-made machine only in terms of its superior complexity. This familiar understanding grounds the conviction that a cell's organization can be explained reductionistically, as well as the idea that its molecular pathways can be construed as deterministic circuits. The machine conception of the cell owes a great deal of its success to the methods traditionally used in molecular biology. However, the recent introduction (...) of novel experimental techniques capable of tracking individual molecules within cells in real time is leading to the rapid accumulation of data that are inconsistent with an engineering view of the cell. This paper examines four major domains of current research in which the challenges to the machine conception of the cell are particularly pronounced: cellular architecture, protein complexes, intracellular transport, and cellular behaviour. It argues that a new theoretical understanding of the cell is emerging from the study of these phenomena which emphasizes the dynamic, self-organizing nature of its constitution, the fluidity and plasticity of its components, and the stochasticity and non-linearity of its underlying processes. (shrink)

Examines the women's movement, discusses feminist theories, and considers the writings of Locke and Marx concerning the separation of family and state.

The first part of the book traces the role of interpretation in everyday perceptual experiences. The second half explores the question: What makes an interpretation true? The book concludes by showing what observations on language are prompted by the herm.

This book offers a reassessment of the political philosophy of the British Idealists, a group of once influential and now neglected nineteenth-century Hegelian philosophers, whose work has been much misunderstood. Peter Nicholson focuses on F. H. Bradley's idea of morality and moral philosophy; T. H. Green's theory of the Common Good, of the social nature of rights, of freedom, and of state interference; and Bernard Bosanquet's notorious theory of the General Will. By examining the arguments offered by the Idealists (...) and by their critics the author is able to penetrate the deep layers of hostile comment laid down by several generations of later writers and to show that these ideas, once properly understood, are not only defensible but interesting and important. (shrink)

Розкрито сутність поняття «рейтинг». Доведено значущість рейтингової оцінки для суб’єктів фінансового ринку, зокрема для страхових компаній, потенційних страхувальників, інвесторів та кредиторів.

Some postcolonial theorists argue that the idea of a single system of belief known as "Hinduism" is a creation of nineteenth-century British imperialists. Andrew J. Nicholson introduces another perspective: although a unified Hindu identity is not as ancient as some Hindus claim, it has its roots in innovations within South Asian philosophy from the fourteenth to seventeenth centuries. During this time, thinkers treated the philosophies of Vedanta, Samkhya, and Yoga, along with the worshippers of Visnu, Siva, and Sakti, as (...) belonging to a single system of belief and practice. Instead of seeing such groups as separate and contradictory, they re-envisioned them as separate rivers leading to the ocean of Brahman, the ultimate reality. Drawing on the writings of philosophers from late medieval and early modern traditions, including Vijnanabhiksu, Madhava, and Madhusudana Sarasvati, Nicholson shows how influential thinkers portrayed Vedanta philosophy as the ultimate unifier of diverse belief systems. This project paved the way for the work of later Hindu reformers, such as Vivekananda, Radhakrishnan, and Gandhi, whose teachings promoted the notion that all world religions belong to a single spiritual unity. In his study, Nicholson also critiques the way in which Eurocentric concepts—like monism and dualism, idealism and realism, theism and atheism, and orthodoxy and heterodoxy—have come to dominate modern discourses on Indian philosophy. (shrink)

In 1926, Haldane published an essay titled 'On Being the Right Size' in which he argued that the structure, function, and behavior of an organism are strongly conditioned by the physical forces that exert the greatest impact at the scale at which it exists. This chapter puts Haldane’s insight to work in the context of contemporary cell and molecular biology. Owing to their minuscule size, cells and molecules are subject to very different forces than macroscopic organisms. In a sense, macroscopic (...) and microscopic entities inhabit different “worlds”: the former is ruled by gravity and inertia, whereas the latter is governed by Brownian motion. One implication is that we should be extremely skeptical of models and analogies that seek to explain properties of microscopic entities by appealing to properties of macroscopic ones. Unfortunately, this is precisely what the appeal to engineering metaphors in molecular biology attempts to do. Molecular biologists routinely resort to such metaphors because they are familiar and intuitively intelligible. But if our machines were the size of molecules it would be impossible for them to function the way they do. It follows that we should avoid distorting biological reality by construing it in engineering terms. In this chapter I examine four key metaphors in molecular biology – “genetic program,” “cellular circuitry,” “molecular machine,” and “molecular motor” – and I argue that their deficiencies derive from their neglect of scale. I also try to explain why many biologists today appear to have forgotten the importance of scale that Haldane drew attention to in his essay. I suggest that the reason has to do with the influence of Schrödinger’s argument in 'What is Life?' regarding the stability of the gene. (shrink)

Although the field of surgical ethics focuses primarily on informed consent, surgical decision‐making, and research ethics, some surgeons have started to consider ethical questions regarding justice and solidarity with poor and minoritized populations. To date, those calling for social justice in surgical care have emphasized increased diversity within the ranks of the surgical profession. This article, in contrast, foregrounds the agency of those most affected by injustice by bringing to bear an ethic of accompaniment. The ethic of accompaniment is born (...) from a theological tradition that has motivated work to improve health outcomes in those at the margins through its emphasis on listening, solidarity against systemic drivers of disease, and proximity to individuals and communities. Through a review of surgical ethics and exploration of a central patient case, we argue for applying an ethic of accompaniment to the care of surgical patients and their communities. (shrink)

This article explores the substitution and complementary effects between political and social strategies on firm performance in the context of an emerging market (EM). Using in‐depth, historical case‐study approach, the article investigates how companies integrate political and social resources in this market. Corporate performance includes traditional measures, such as accounting performance and nonfinancial measures like the ease of doing business. The study finds that social strategies are stronger enablers of firm long‐term performance than political strategies. The latter have a short‐term (...) impact on performance, but their success over time is limited. The main drawback of reliance on political resources in EMs is the lack of political stability, fragmented polity, and weak political coalitions. We identify rather limited evidence of firms using these two strategies as complements. Thus, we suggest that firms should employ both these strategies in the EM. (shrink)

In considering the patient's right to a certain quality of dying, this essay outlines how the legal and ethical justifications for passive euthanasia depend on the doctrine of acts and omissions. It is suggested that this doctrine is untenable and that alternative justifications are needed. The development of the modern mechanistic approach to death is traced, showing that a possible basis for an humane way of death lies in a reacceptance of a metaphysical concept of life.