Robertson's earlier work, The New Renaissance projected the likely future impact of computers in changing our culture. Phase Change builds on and deepens his assessment of the role of the computer as a tool driving profound change by examining the role of computers in changing the face of the sciences and mathematics. He shows that paradigm shifts in understanding in science have generally been triggered by the availability of new tools, allowing the investigator a new way of seeing into (...) questions that had not earlier been amenable to scientific probing. (shrink)

Tibetan Buddhist Philosophy of Mind and Nature is a philosophical overview of Tibetan Buddhist thought. Charting the different ways Buddhist traditions in Tibet configure the relationship between Madhyamaka and Mind-Only, Duckworth shows how these configurations inform the shape of distinct contemplative practices.

The experimental testing of the Lorentz transformations is based on a family of sets of coordinate transformations that do not comply in general with the principle of equivalence of the inertial frames. The Lorentz and Galilean sets of transformations are the only member sets of the family that satisfy this principle. In the neighborhood of regular points of space-time, all members in the family are assumed to comply with local homogeneity of space-time and isotropy of space in at least one (...) free-falling elevator, to be denoted as Robertson'sab initio rest frame [H. P. Robertson,Rev. Mod. Phys. 21, 378 (1949)].Without any further assumptions, it is shown that Robertson's rest frame becomes a preferred frame for all member sets of the Robertson family except for, again, Galilean and Einstein's relativities. If one now assumes the validity of Maxwell-Lorentz electrodynamics in the preferred frame, a different electrodynamics spontaneously emerges for each set of transformations. The flat space-time of relativity retains its relevance, which permits an obvious generalization, in a Robertson context, of Dirac's theory of the electron and Einstein's gravitation. The family of theories thus obtained constitutes a covering theory of relativistic physics.A technique is developed to move back and forth between Einstein's relativity and the different members of the family of theories. It permits great simplifications in the analysis of relativistic experiments with relevant “Robertson's subfamilies.” It is shown how to adapt the Clifford algebra version of standard physics for use with the covering theory and, in particular, with the covering Dirac theory. (shrink)

Efforts to institutionalize ethics in corporations have been discussed without first addressing the desirability of norm conformity or the possibility that the means used to elicit conformity will be coercive. This article presents a theoretical context, grounded in models of social control, within which ethics initiatives may be evaluated. Ethics initiatives are discussed in relation to variables that already exert control in the workplace, such as environmental controls, organizational controls, and personal controls.

The best interest standard is the threshold most frequently employed by physicians and ethics consultants in challenging a parent’s refusal to provide consent for a child’s medical care. In this article, I will argue that the best interest standard has evolved to serve two different functions, and that these functions differ sufficiently that they require separate standards. While the best interest standard is appropriate for choosing among alternative treatment options for children, making recommendations to parents, and making decisions on behalf (...) of a child when the legal decision makers are either unable to make a decision or are in dispute, a different standard is required for deciding when to seek state interference with parental decision-making authority. I will suggest that the harm principle provides a more appropriate threshold for determining when to seek state intervention than the best interest standard. (shrink)

It is argued that Hellman's arguments purporting to demonstrate that constructive mathematics cannot cope with unbounded operators on a Hilbert space are seriously flawed, and that there is no evidence that his thesis is correct.

In the informal setting of Bishop-style constructive reverse mathematics we discuss the connection between the antithesis of Specker’s theorem, Ishihara’s principle BD-N, and various types of equicontinuity. In particular, we prove that the implication from pointwise equicontinuity to uniform sequential equicontinuity is equivalent to the antithesis of Specker’s theorem; and that, for a family of functions on a separable metric space, the implication from uniform sequential equicontinuity to uniform equicontinuity is equivalent to BD-N.

The literature on the relationship between religion and belief in the paranormal is complex and sometimes seemingly contradictory. However, previous research suggests that this relationship depends on the religious characteristics of the sample and the measures of religion. Research also suggests that science knowledge is unrelated to paranormal beliefs, but critical thinking is at odds with paranormal beliefs. Psychology college students and conservative Christians answered questions about paranormal beliefs, religious beliefs, Bible knowledge, science knowledge, and evidence-based thinking. Conservative Christians displayed (...) the lowest belief in the paranormal. Religious beliefs and paranormal beliefs were unrelated, but attendance at services was negatively related to paranormal beliefs. Evidence-based thinking was also negatively related to paranormal beliefs. (shrink)

The case of Ashley X involved a young girl with profound and permanent developmental disability who underwent growth attenuation using high-dose estrogen, a hysterectomy, and surgical removal of her breast buds. Many individuals and groups have been critical of the decisions made by Ashley's parents, physicians, and the hospital ethics committee that supported the decision. While some of the opposition has been grounded in distorted facts and misunderstandings, others have raised important concerns. The purpose of this paper is to provide (...) a brief review of the case and the issues it raised, then address 25 distinct substantive arguments that have been proposed as reasons that Ashley's treatment might be unethical. We conclude that while some important concerns have been raised, the weight of these concerns is not sufficient to consider the interventions used in Ashley's case to be contrary to her best interests, nor are they sufficient to preclude similar use of these interventions in the future for carefully selected patients who might also benefit from them. (shrink)

Clinical ethics training programs are responsible for preparing their trainees to be competent ethics consultants worthy of the trust of patients, families, surrogates, and healthcare professionals. While the American Society for Bioethics and Humanities (ASBH) offers a certification examination for healthcare ethics consultants, no tools exist for the formal evaluation of ethics trainees to assess their progress toward competency. Medical specialties accredited by the Accreditation Council for Graduate Medical Education (ACGME) use milestones to report trainees’ progress along a continuum of (...) professional development as a means of “operationalizing and implementing” medical competencies. Utilizing the Core Competencies for Healthcare Ethics Consultation and the ACGME and American Board of Pediatrics’ (ABP) Pediatric Milestones Project, we developed milestones for 17 subcompetencies in clinical ethics consultation and academic bioethics. As the field of clinical ethics becomes more standardized, such tools will be needed to promote the development of robust training programs and to certify that their graduates are competent practitioners. (shrink)

The literature on the relationship between religion and belief in the paranormal is complex and sometimes seemingly contradictory. However, previous research suggests that this relationship depends on the religious characteristics of the sample and the measures of religion. Research also suggests that science knowledge is unrelated to paranormal beliefs, but critical thinking is at odds with paranormal beliefs. Psychology college students and conservative Christians answered questions about paranormal beliefs, religious beliefs, Bible knowledge, science knowledge, and evidence-based thinking. Conservative Christians displayed (...) the lowest belief in the paranormal. Religious beliefs and paranormal beliefs were unrelated, but attendance at services was negatively related to paranormal beliefs. Evidence-based thinking was also negatively related to paranormal beliefs. (shrink)

The nature of modern constructive mathematics, and its applications, actual and potential, to classical and quantum physics, are discussed.

Continuing the study of apartness in lattices, begun in [8], this paper deals with axioms for a product a-frame and with their consequences. This leads to a reasonable notion of proximity in an a-frame, abstracted from its counterpart in the theory of set-set apartness.

The scholarly enterprise known as the psychology of religion can be understood as the psychological study of religious practice, belief, and experience. With one foot in the stream of psychological theory and research and the other in the flow of religious experience and understanding, it seeks to illuminate the latter through use of the former. In other words, religion becomes the object of psychological analysis, that is, in some sense subordinated to psychology. This relative inequality raises significant methodological issues for (...) anyone attempting to study religion in this way. In particular, one is confronted with the prospect of becoming reductionistic, that is, of explaining what is in fact a complex phenomenon in terms too simple and uni-dimensional, distorting the object of study in the process. (shrink)

Emptiness ( śūnyatā ) is one of the most important topics in Buddhist thought and also is one of the most perplexing. Buddhists in Tibet have developed a sophisticated tradition of philosophical discourse on emptiness and ineffability. This paper discusses the meaning(s) of emptiness within three prominent traditions in Tibet: the Geluk ( dge lugs ), Jonang ( jo nang ), and Nyingma ( rnying ma ). I give a concise presentation of each tradition’s interpretation of emptiness and show how (...) each interpretation represents a distinctive aspect of its meaning. Given that Buddhist traditions (1) accept an extra-linguistic reality and (2) maintain a strong tradition of suspicion of language with the belief that language both constructs and distorts reality, this paper responds to an issue that is not so much whether or not an inexpressible reality can be expressed, but rather how it is best articulated. (shrink)

Buddhist traditions understand emptiness in various ways, and two streams of interpretation, “self-emptiness” and “other-emptiness” , have emerged in Tibet that help bring into focus the extent to which interpretations diverge.1 In contrast to self-emptiness, other-emptiness does not refer to a phenomenon’s lack of its own essence; it refers to the ultimate reality’s lack of all that it is not. Rather than claiming the universality of self-emptiness , proponents of other-emptiness assert another way to understand emptiness with regard to the (...) ultimate . These two interpretations of emptiness—as ground and as groundless .. (shrink)

We propose a natural definition of what it means in a constructive context for a Banach space to be reflexive, and then prove a constructive counterpart of the Milman-Pettis theorem that uniformly convex Banach spaces are reflexive.

The glueing of (sequentially, pointwise, or uniformly) continuous functions that coincide on the intersection of their closed domains is examined in the light of Bishop-style constructive analysis. This requires us to pay attention to the way that the two domains intersect.

Thousands of U.S. parents choose to refuse or delay the administration of selected vaccines to their children each year, and some choose not to vaccinate their children at all. While most physicians continue to provide care to these families over time, using each visit as an opportunity to educate and encourage vaccination, an increasing number of physicians are choosing to dismiss these families from their practice unless they agree to vaccinate their children. This paper will examine this emerging trend along (...) with the reasons given by those who advocate such an approach. I will argue that the strategy of refusing to allow families into a clinic unless they agree to vaccinate their children is misguided, and the arguments for doing so fail to stand up to close scrutiny. Such a strategy does not benefit the child or the health of the community, and may have a negative impact on both. Furthermore, some of the arguments in support of dismissal policies ignore the importance of professional obligation and appear to favor self-interest over the interest of the patient. (shrink)

Jamgön Mipam (1846–1912) is one of the most extraordinary figures in the history of Tibet.

We examine, from a constructive perspective, the relation between the complements of S, T, and S ∩ T in X, where X is either a metric space or a normed linear space. The fundamental question addressed is: If x is distinct from each element of S ∩ T, if s ϵ S, and if t ϵ T, is x distinct from s or from t? Although the classical answer to this question is trivially affirmative, constructive answers involve Markov's principle and (...) the completeness of metric spaces. (shrink)

With each novel infectious disease outbreak, there is scholarly attention to healthcare providers’ obligation to assume personal risk while they care for infected patients. While most agree that healthcare providers have a duty to assume some degree of risk, the extent of this obligation remains uncertain. Furthermore, these analyses rarely examine healthcare institutions’ obligations during these outbreaks. As a result, there is little practical guidance for healthcare institutions that are forced to weigh whether or when to exclude healthcare providers from (...) providing care or allow them to opt out from providing care to protect themselves. This article uses the COVID-19 pandemic to examine the concept of risk and the professional duties of both healthcare providers and healthcare institutions, and proposes a framework that can be used to make concrete institutional policy choices. This framework should be a useful tool for any hospital, clinic, or health agency that must make these choices during the current pandemic and beyond. (shrink)

Two new notions of compactness, each classically equivalent to the standard classical one of sequential compactness, for apartness spaces are examined within Bishop-style constructive mathematics.

It is shown how, under certain circumstances and within Bishop‐style constructive mathematics, one can construct a product of two a‐frames (the structures underlying the constructive theory of apartness on frames).

God Never ChangesOr does he? God has been getting a makeover of late, a "reinvention" that has incited debate and troubled scholars and laypeople alike. Modern theological sectors as diverse as radical feminism and the new “open theism” movement are attacking the classical Christian view of God and vigorously promoting their own images of Divinity.God Under Fire refutes the claim that major attributes of the God of historic Christianity are false and outdated. This book responds to some increasingly popular alternate (...) theologies and the ways in which they cast classical Christian theism in a negative light. Featuring an impressive cast of world-class biblical scholars, philosophers, and apologists, God Under Fire begins by addressing the question, “Should the God of Historic Christianity Be Replaced?” From there, it explores issues as old as time and as new as the inquest into the “openness of God.” How, for instance, does God risk, relate, emote, and change? Does he do these things, and if so, why? These and other questions are investigated with clarity, bringing serious scholarship into popular reach.Above all, this collection of essays focuses on the nature of God as presented in the Scriptures and as Christians have believed for centuries. God Under Fire builds a solid and appealing case for the God of classical Christian theism, who in recent years—as through the centuries—has been the God under fire. (shrink)