From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authored by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional, and analytical relationships between mathematics and music are unfolded and explored (...) with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques. (shrink)

Introduction. During the past two decades philosophers of psychology have considered a large variety of computational models for philosophy of mind and more recently for cognitive science. Among the suggested models are computer programs, Turing machines, pushdown automata, linear bounded automata, finite state automata and sequential machines. Many philosophers have found finite state automata models to be the most appealing, for various reasons, although there has been no shortage of defenders of programs and Turing machines. A paper by Arthur Burks (...) convinced me long ago that “all natural human functions” are, or can be fruitfully modeled to be, finite state automata with output. Further work in the field has reinforced this conviction. There is room, however, for the use of any of the above models in philosophy of mind and in the ongoing development of cognitive science. (shrink)

In this paper it is argued that certain stimulus-response learning models which are adequate to represent finite automata (acceptors) are not adequate to represent noninitial state input-output automata (transducers). This circumstance suggests the question whether or not the behavior of animals if satisfactorily modelled by automata is predictive. It is argued in partial answer that there are automata which can be explained in the sense that their transition and output functions can be described (roughly, Hempel-type covering law explanation) while their (...) behaviors are in principle not predictable short of possession of their complete histories or of information concerning present internal states by indirect observation. (shrink)

Volume 20, Issue 10, October 2020, Page 96-98.

Calcium ions act as modulators of many fundamental processes in eukaryotic cells. Although these processes apparently involve initial interactions between calcium ions and cell membranes, the identity of the putative membrane Ca2+‐binding proteins has until recently been obscure. This article describes a recently discovered family of mammalian membrane proteins, of perhaps ancient origin, that may fulfil this function.

In the mid-nineteenth century, healthcare delivery began transitioning from an individual, private payment model to a third-party payment model, dominated by the insurance industry. During the same time, productivity shifted from a transformational model, centered on the provider-patient relationship, to a transactional model, based on the distribution of services. The emergence of medical insurance and other third-party payers removed providers and patients from discussions about treatment plans, payment, and risk. This resulted in a weakening, if not fracturing, of the provider-patient (...) relationship. All healthcare providers enter their profession to care for people, yet what has most frequently been lost in the transformed relationship over the past century is context, communication, and trust—all elements of a relational ethic, or what ethicist and psychologist Carol Gilligan first described as, “the ethics of care.” This loss of relationality has led to a model of healthcare delivery that is fractured, isolated, and uncoordinated, with an epidemic of medical errors that by some estimates results in the death of approximately 400,000 individuals per year. Thus far, isolated foci on patient quality, outcomes, and safety have been feckless and unimpressive. However, new advanced payment models, such as value-based purchasing and patient-centered medical homes, have the potential to reduce medical error by addressing its root cause. In linking payment to factors such as context, communication, and trust, they bring relationality back into the healthcare system. This essay traces the historic devolution of the provider-patient relationship and the promise of new payment models to restore it. (shrink)

Ethical fiduciaries in health care lack sufficient criteria for making ethical decisions. The authors introduce criteria from The Theory of Comfort as developed in the nursing literature. According to the theory, comfort is based in observation, measurable, and represents a nearly universal human need and interest. Use of the theory is illustrated through three case studies.

In this paper I discuss William Lane Craig’s response to problems faced by Molinists who hold that an eternal hell exists and that most people who fail to accept Christ during their earthly lives end up there. Craig suggests that it is plausible to suppose that most people who fail to accept Christ suffer from transworld damnation, and that the fact that they do ensures that it is fair that they end up in hell regardless of whether they hear the (...) Gospel message. I argue that whether this suggestion-which I call ‘Craig’s contentious suggestion’-is true depends on how transworld damnation is understood. I present four interpretations of transworld damnation, and argue that on three of the interpretations Craig’s suggestion is clearly unacceptable, but that it may be acceptable on the fourth. (shrink)