We will study patterns which occur when considering how Σ 1 -elementary substructures arise within hierarchies of structures. The order in which such patterns evolve will be seen to be independent of the hierarchy of structures provided the hierarchy satisfies some mild conditions. These patterns form the lowest level of what we call patterns of resemblance . They were originally used by the author to verify a conjecture of W. Reinhardt concerning epistemic theories 449–460; Ann. Pure Appl. Logic, to appear), (...) but their relationship to axioms of infinity and usefulness for ordinal analysis were manifest from the beginning. This paper is the first part of a series which provides an introduction to an extensive program including the ordinal analysis of set theories. Future papers will conclude the introduction and establish, among other things, that notations we will derive from the patterns considered here represent the proof-theoretic ordinal of the theory KPℓ 0 or, equivalently, Π 1 1 −CA 0. (shrink)

This study examines a moderated/mediated model of ethical leadership on follower job satisfaction and affective organizational commitment. We proposed that managers have the potential to be agents of virtue or vice within organizations. Specifically, through ethical leadership behavior we argued that managers can virtuously influence perceptions of ethical climate, which in turn will positively impact organizational members’ flourishing as measured by job satisfaction and affective commitment to the organization. We also hypothesized that perceptions of interactional justice would moderate the ethical (...) leadership-to-climate relationship. Our results indicate that ethical leadership has both a direct and indirect influence on follower job satisfaction and affective commitment. The indirect effect of ethical leadership involves shaping perceptions of ethical climate, which in turn, engender greater job satisfaction and affective organizational commitment. Furthermore, when interactional justice is perceived to be high, this strengthens the ethical leadership-to-climate relationship. (shrink)

The US neutrino community gathered at the Workshop on the Intermediate Neutrino Program at Brookhaven National Laboratory February 4-6, 2015 to explore opportunities in neutrino physics over the next five to ten years. Scientists from particle, astroparticle and nuclear physics participated in the workshop. The workshop examined promising opportunities for neutrino physics in the intermediate term, including possible new small to mid-scale experiments, US contributions to large experiments, upgrades to existing experiments, R&D plans and theory. The workshop was organized into (...) two sets of parallel working group sessions, divided by physics topics and technology. Physics working groups covered topics on Sterile Neutrinos, Neutrino Mixing, Neutrino Interactions, Neutrino Properties and Astrophysical Neutrinos. Technology sessions were organized into Theory, Short-Baseline Accelerator Neutrinos, Reactor Neutrinos, Detector R&D and Source, Cyclotron and Meson Decay at Rest sessions.This report summarizes discussion and conclusions from the workshop. (shrink)

Rising energy costs, increasing herd sizes, and other structural changes affecting the New York dairy industry may make farmers receptive to new energy production technologies. Anaerobic digestion represents a possible benefit to farmers by reducing odor while producing methane for electricity. However, current digester designs are for herd sizes of 300 or more cows, with significant economies of scale, so smaller operators may have little interest in the technology. Moreover, without a favorable policy environment and reliable grant programs, the initial (...) investments required for digester installation might deter operators. One solution to these issues may be community digesters, which are centrally located facilities that accept manure from multiple farms. Data from a survey of New York dairy farmers were used to assess farmers’ interest in community digesters. In general, interest was associated with power generation outcomes and reservations about organic farming practices; advocates might encourage their use among smaller conventional farm operators looking for new sources of profit and diversification. (shrink)

We will introduce a partial ordering $\preceq_1$ on the class of ordinals which will serve as a foundation for an approach to ordinal notations for formal systems of set theory and second-order arithmetic. In this paper we use $\preceq_1$ to provide a new characterization of the ubiquitous ordinal $\epsilon _{0}$.

We will investigate patterns of resemblance of order 2 over a family of arithmetic structures on the ordinals. In particular, we will show that they determine a computable well ordering under appropriate assumptions.

Several distinguished philosophers have argued that since the state of affairs where nothing exists is the simplest and least arbitrary of all cosmological possibilities, we have reason to be surprised that there is in fact a non-empty universe. We review this traditional argument, and defend it against two recent criticisms put forward by Peter van Inwagen and Derek Parfit. Finally, we argue that the traditional argument nevertheless needs reformulation, and that the cogency of the reformulated argument depends partly on whether (...) there are certain conceptual limitations to what a person can hypothetically doubt. (shrink)

A notation for an ordinal using patterns of resemblance is based on choosing an isominimal set of ordinals containing the given ordinal. There are many choices for this set meaning that notations are far from unique. We establish that among all such isominimal sets there is one which is smallest under inclusion thus providing an appropriate notion of normal form notation in this context. In addition, we calculate the elements of this isominimal set using standard notations based on collapsing functions. (...) This provides a capstone to the results in [2, 6, 8, 9, 7], using further refinement of ordinal arithmetic developed in [8] which then both allows for a simple characterization of normal forms for patterns of order one and will play a key role in the arithmetical analysis of pure patterns of order two, [5]. (shrink)

Several philosophers have argued that our cosmos is either purposely created by some rational being, or else just one among a vast number of actually existing cosmoi. According to John Leslie and Peter van Inwagen, the existence of a cosmos containing rational beings is analogous to drawing the winning straw among millions of straws. The best explanation in the latter case, they maintain, is that the drawing was either rigged by someone, or else many such lotteries have taken place. Arnold (...) Zuboff claims that each person is justified in concluding that her existence did not depend on a particular sperm cell first reaching the egg. If it did so depend, her existence would be extremely improbable, and an incredible coincidence for her. Similarly, intelligent life would be an incredible coincidence for us, if this were the only actual cosmos. We reject both these purported analogies. Referring to the nonheredity of 'surprise value', we conclude that an evolutionary explanation of the presence of rational beings is sufficient; there is no further need to explain the basic features of our cosmos which make intelligent life possible. This point concerning surprise value also reveals a fundamental disanalogy between straw-drawing and cosmos creation. (shrink)

The theory of ranked partial structures allows a reinterpretation of several of the standard results of model theory and first-order logic and is intended to provide a proof-theoretic method which allows for the intuitions of model theory. A version of the downward Löwenheim-Skolem theorem is central to our development. In this paper we will present the basic theory of ranked partial structures and their logic including an appropriate version of the completeness theorem.

We show that for various set theories T including ZF, T + AC is conservative over T for sentences of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\forall x \exists! y}$$\end{document}A(x, y) where A(x, y) is a Δ0 formula.

Background: The Declaration of Helsinki, the World Medical Association’s statement of ethical guidelines regarding medical research, is published in the three official languages of the WMA: English, French and Spanish.Methods: A detailed comparison of the three official language versions was carried out to determine ways in which they differed and ways in which the wording of the three versions might illuminate the interpretation of the document.Results: There were many minor linguistic differences between the three versions. However, in paragraphs 1, 6, (...) 29, 30 and in the note of clarification to paragraph 29, there were differences that could be considered potentially significant in their ethical relevance.Interpretation: Given the global status of the Declaration of Helsinki and the fact that it is translated from its official versions into many other languages for application to the ethical conduct of research, the differences identified are of concern. It would be best if such differences could be eliminated but, at the very least, a commentary to explain any differences that are unavoidable on the basis of language or culture should accompany the Declaration of Helsinki. This evidence further strengthens the case for international surveillance of medical research ethics as has been proposed by the WMA. (shrink)

SummaryIn a relational epistemology and ontology, we are allowed to speak freely about the existence of atoms, chairs, love, and God, on the condition that we are prepared to give an account of the relations we have to them. At first sight, Caputo seems to endorse such a relational view. When it comes to concepts like democracy, hospitability, justice, and God, though, Caputo argues that the relations we have to the realities to which these concepts refer inhibit us to speak (...) of their existence. They are events which insist, but do not exist. In this article, it is argued that the differences between the relations of human beings to existing X’s and the relations of human beings to insisting X’s are not as fundamental as to make a distinction in principle between insistence and existence. In our relational view, insistence is a particular instance of existence. (shrink)

Corballis's explanation for right-handedness in humans relies heavily on the gestural protolanguage hypothesis, which he argues for by a series of “intuition pumps.” Scrutinizing the mirror system hypothesis and modern gesture as components of the argument, we find that they do not provide the desired evidence of a gestural precursor to speech.

The increasing availability of brain data within and outside the biomedical field, combined with the application of artificial intelligence (AI) to brain data analysis, poses a challenge for ethics and governance. We identify distinctive ethical implications of brain data acquisition and processing, and outline a multi-level governance framework. This framework is aimed at maximizing the benefits of facilitated brain data collection and further processing for science and medicine whilst minimizing risks and preventing harmful use. The framework consists of four primary (...) areas of regulatory intervention: binding regulation, ethics and soft law, responsible innovation, and human rights. (shrink)

This study shows the link between teaching ethics in a college setting and the evolution of student thinking about ethical dilemmas. At the beginning of the semester, students have a rigid "black and white" conception of ethics. By the end of the semester, they are thinking more flexibly about the responsibilities of leaders in corporate ethical dilemmas, and they are able to appreciate complex situations that influence ethical behavior. The study shows that education in ethics produces more "enlightened" consumers of (...) ethics information who are able to make sound determinations about responsibility in ethical dilemmas. (shrink)

Followers’ perceptions of their leaders’ ethics have the potential to impact the way they react to the influence of these leaders. The present study of 365 U.S. Air Force Academy Cadets examined how followers’ perceptions of their leaders’ ethics moderated the relationships found between the leaders’ use of power, as conceptualized by French and Raven, and the followers’ contextual performance. Our results indicated that leaders’ use of expert, referent, and reward power was associated with higher levels of organizational citizenship behaviors (...) among their followers when the followers perceived these leaders to be more ethical. Moreover, when followers perceived their leaders to be less ethical, these followers reported lower levels of OCBs when their leaders’ utilized referent power. Practical implications, limitations, and future research are also discussed. (shrink)

Motivated by analogous applications to sonoluminescence, neutron stars mergers are examined in the context of Schwinger's dynamical Casimir effect. When the dielectric properties of the QED vacuum are altered through the introduction of dense matter, energy shifts in the zero-point fluctuations can appear as photon bursts at gamma-ray frequencies. The amount of radiation depends upon the properties and amount of matter in motion and the suddenness of the transition. It is shown that the dynamical Casimir effect can convert sufficient energy (...) of neutron star mergers into gamma rays. Using information extracted from simulations of matter flow in neutron star mergers by Ruffert and Janka, we estimate that the total Casimir energy released can exceed 10 53 ergs in gamma-ray frequencies. The Casimir energy approach is capable of explaining the most energetic gamma-ray bursts. (shrink)

This book examines influential conceptions of sport and then analyses the interplay of challenging borderline cases with the standard definitions of sport. It is meant to inspire more thought and debate on just what sport is, how it relates to other activities and human endeavors, and what we can learn about ourselves by studying sport.

Although previous work has linked parent autonomy support to the development of children’s executive function skills, the role of specific autonomy-supportive behaviors has not been thoroughly investigated. We compiled data from four preschool-age samples in the Midwestern United States to examine three relevant autonomy-supportive behaviors and their associations with child EF. We coded parent autonomy-supportive behaviors from a 10-min interaction between parent and child dyads working on challenging jigsaw puzzles together. Children completed a battery of EF. Overall, child EF was (...) most consistently correlated with the offering choice subscale. Additionally, only the offering choice subscale predicted child EF while controlling for the other autonomy support subscales and child age. These results suggest that parent provision of choice is an especially relevant aspect of autonomy-supportive parenting and may be important to the development of EF in early childhood. Future research should directly measure children’s experience with choice and how it relates to emerging EF. (shrink)

Abstract Many political theorists have argued that religious reasons should play a rather limited role in public or political settings. So, for example, according to the Doctrine of Religious Restraint, citizens and legislators ought not allow religious reasons to play a decisive role in justifying public policies. Many military professionals seem to believe that some version of that doctrine applies in military settings, that is, that military professionals should not allow their religious convictions to determine how they exercise command authority. (...) We explain why the Doctrine of Religious Restraint should not apply to military professionals and articulate an alternative understanding of the justificatory role legitimately played by religious considerations in military settings. This alternative understanding assumes that military professionals will exercise command authority with tact, wisdom, and due respect for both the spirit and letter of the law, even when they are guided by robust faith commitments. (shrink)

The Computational History of Philosophy of Science Dataset aims to be a comprehensive set of article and book chapter metadata for philosophy of science. The dataset covers the full run of over 40 journals and 3 major book series in the field. An automated author disambiguation script is used to construct canonical names for each author, and a combination of gender attribution methods is used to attribute the gender of each author. The full code used to generate the dataset is (...) available at [URL not allowed]. See the file data_dictionary.txt for data dictionary and additional information. (shrink)