James Gow's A Short History of Greek Mathematics provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. Parts I and (...) II concern Greek arithmetic, including the origin of alphabetic numerals and the nomenclature for operations; Part III constitutes a complete history of Greek geometry, from its earliest precursors in Egypt and Babylon through to the innovations of the Ionic, Sophistic, and Academic schools and their followers. Particular attention is given to Pythagorus, Euclid, Archimedes, and Ptolemy, but a host of lesser-known thinkers receive deserved attention as well. (shrink)

Part I of this essay will be devoted to Gauthier's principle of minimax relative concession. Part II will focus, more generally, on the variety of possible strategies available to liberal theory. In Part I, I will argue that the principle of minimax relative concession does not define “essential justice” as Gauthier claims. In Part II, I will argue that the difficulties facing Gauthier's strategy are common to other strategies of die same general kind. I will close by suggesting what I (...) think may prove to be a more promising approach. (shrink)

Halin in 1965 proved that if a graph has [Formula: see text] many pairwise disjoint rays for each [Formula: see text] then it has infinitely many pairwise disjoint rays. We analyze the complexity of this and other similar results in terms of computable and proof theoretic complexity. The statement of Halin’s theorem and the construction proving it seem very much like standard versions of compactness arguments such as König’s Lemma. Those results, while not computable, are relatively simple. They only use (...) arithmetic procedures or, equivalently, finitely many iterations of the Turing jump. We show that several Halin-type theorems are much more complicated. They are among the theorems of hyperarithmetic analysis. Such theorems imply the ability to iterate the Turing jump along any computable well ordering. Several important logical principles in this class have been extensively studied beginning with work of Kreisel, H. Friedman, Steel and others in the 1960s and 1970s. Until now, only one purely mathematical example was known. Our work provides many more and so answers Question 30 of Montalbán’s Open Questions in Reverse Mathematics in 2011. Some of these theorems including ones in Halin in 1965 are also shown to have unusual proof theoretic strength as well. (shrink)

With the development of the division of labor, the household has declined in importance as a unit of economic production. Yet even as the individual wage earner has assumed a central place in modern exchange economies, the household has still been seen as an important unit of distribution, in which wage earners provide for their non-income-producing family members. With the breakdown of the family in recent decades, however, the communal income-sharing function of the family has, in significant part, been taken (...) overby the state. In this essay, I examine this fundamental change in the structure of production and distribution in modern exchange economies. Going beyond this, I propose a new structure of markets–markets for rights to influence collective decision-making within a society. Such markets, I suggest, wouldprovide a source of income for each member of the society. (shrink)

The sounds that make up spoken words are heard in a series and must be mapped rapidly onto words in memory because their elements, unlike those of visual words, cannot simultaneously exist or persist in time. Although theories agree that the dynamics of spoken word recognition are important, they differ in how they treat the nature of the competitor set—precisely which words are activated as an auditory word form unfolds in real time. This study used eye tracking to measure the (...) impact over time of word frequency and 2 partially overlapping competitor set definitions: onset density and neighborhood density. Time course measures revealed early and continuous effects of frequency (facilitatory) and on set based similarity (inhibitory). Neighborhood density appears to have early facilitatory effects and late inhibitory effects. The late inhibitory effects are due to differences in the temporal distribution of similarity within neighborhoods. The early facilitatory effects are due to subphonemic cues that inform the listener about word length before the entire word is heard. The results support a new conception of lexical competition neighborhoods in which recognition occurs against a background of activated competitors that changes over time based on fine-grained goodness-of-fit and competition dynamics. (shrink)

R. Douglas Geivett and James S. Spiegel present a textbook for philosophy courses that uses classic and current films to explore major philosophical themes such as the human condition, mind and knowledge, the moral life, faith and religion.

A vibrant new translation of Seneca’s “On the Shortness of Life,” a pointed reminder to make the most of our time Who doesn’t worry sometimes that smart phones, the Internet, and TV are robbing us of time and preventing us from having a life? How can we make the most of our time on earth? In the first century AD, the Stoic philosopher Seneca the Younger offered one of the most famous answers to that question in his essay “On the (...) Shortness of Life”—a work that has more to teach us today than ever before. In How to Have a Life, James Romm presents a vibrant new translation of Seneca’s brilliant essay, plus two Senecan letters on the same theme, complete with the original Latin on facing pages and an inviting introduction. With devastating satiric wit, skillfully captured in this translation, Seneca lampoons the ways we squander our time and fail to realize how precious it is. We don’t allow people to steal our money, yet we allow them to plunder our time, or else we give it away ourselves in useless, idle pursuits. Seneca also describes how we can make better use of our brief days and years. In the process, he argues, we can make our lives longer, or even everlasting, because to live a real life is to attain a kind of immortality. A counterweight to the time-sucking distractions of the modern world, How to Have a Life offers priceless wisdom about making our time—and our lives—count. (shrink)

A randomly selected microcosm of the people can usefully play an official role in the lawmaking process. However, there are serious issues to be confronted if such a random sample were to take on the role of a full-scale, full-time second chamber. Some skeptical considerations are detailed. There are also advantages to short convenings of such a sample to take on some of the roles of a second chamber. This article provides a response to the skeptical considerations. Precedents from ancient (...) Athens show how such short-term convenings of a deliberating microcosm can be positioned before, during, or after other elements of the lawmaking process. The article draws on experience from Deliberative Polling to show how this is both practical and productive for the lawmaking process. (shrink)

This article reflects on one potential relationship the anthropological study of religion might enjoy with a critical orientation to religion. To do so, I highlight a burgeoning dialog between anthropology and theology. Ultimately, I propose that a focus on religion and human flourishing provides one wavelength on which an anthropology–theology collaboration can thrive. I follow the observation that anthropologists and theologians are united by concern with shared problems. If human and social flourishing is one such problem, then what might a (...) collaborative configuration look like? The example I consider is how ethnographic evidence of religion in public life can be mobilized to advance prophetic theological critiques of injustice. (shrink)

Paul Draper argues that given theism we should not expect the amount of pain and suffering we observe in the world. And since the prevalence of such evils is not surprising from a non-theistic perspective, we should reject the theistic hypothesis. But not all surprising observations are necessarily a demerit when it comes to the assessment of a given theoretical perspective. I propose that on Christian theism the prevalence of evil is a surprising feature that contributes to the overall aesthetic (...) merit of the theistic hypothesis. This element of surprise in the world, when considered as a divine drama, sets the stage for an even more surprising dramatic upswing where the work of God solves the central narrative riddle of human history, namely evil and how it can be conquered. (shrink)

Wage inequality, including the college/high school education premium, has increased substantially in the United States. A key part of the most widely accepted explanation for this is that skill-biased technological change accelerated during this time. This article suggests that the impact of skill-biased technological change was closer to constant in the second half of the twentieth century. This leaves a large unexplained decrease in the college/high school education premium in the 1940s and a large unexplained increase in the 1980s. The (...) current article provides evidence that the upsurge and decline in union power during those respective periods provide a good explanation for these unexplained wage inequality changes. (shrink)

This article explores four major areas of moral concern regarding virtual reality technologies. First, VR poses potential mental health risks, including Depersonalization/Derealization Disorder. Second, VR technology raises serious concerns related to personal neglect of users’ own actual bodies and real physical environments. Third, VR technologies may be used to record personal data which could be deployed in ways that threaten personal privacy and present a danger related to manipulation of users’ beliefs, emotions, and behaviors. Finally, there are other moral and (...) social risks associated with the way VR blurs the distinction between the real and illusory. These concerns regarding VR naturally raise questions about public policy. The article makes several recommendations for legal regulations of VR that together address each of the above concerns. It is argued that these regulations would not seriously threaten personal liberty but rather would protect and enhance the autonomy of VR consumers. (shrink)

The prelims comprise: The Athenian Solution The Filter The Mirror The “Mob” The Apparent Conundrum Referendum Democracy versus Deliberation Modern Deliberative Microcosms The Role of Representatives Notes Bibliography.

Current DHHS regulations require that policies and procedures developed by institutions to handle allegations of scientific misconduct include provisions for “undertaking diligent efforts to protect the positions and reputations of those persons who, in good faith, make allegations.” Analogously, institutions receiving PHS funds are required to protect the confidentiality of those accused of such misconduct or, failing that, to restore their reputations if the allegations are not confirmed. Based on two surveys, one of whistleblowers and one of individuals accused but (...) exonerated of scientific misconduct, this paper examines how well the system works to protect both sets of participants in cases of alleged misconduct. Contrary to popular impressions created by notorious cases, substantial minorities of both whistleblowers and exonerated scientists experience no adverse outcomes at the time the allegations are made and pursued. During this period, however, whistleblowers report more negative outcomes and more severe negative outcomes than their accused but exonerated counterparts. In the longer run, majorities of both groups report little impact on different aspects of their careers or professional activities, though those who report any impacts generally report negative ones. The accused but exonerated, however, appear to fare worse than whistleblowers in impacts on several aspects of their personal lives; their mental health, physical health, self-esteem, and self-identity. (shrink)

Committing financial fraud is a serious breach of business ethics. However, there are few large scale studies of financial fraud, which involve ethical considerations. In this study, we investigate the pervasive financial scandals, which by the end of 2012 involved more than a third of the US-listed Chinese companies. Based on a sample of 262 US-listed Chinese companies, we analyze factors that differentiate between firms that commit financial fraud and those that do not. We find that firms more predisposed to (...) unethical behavior, due to their low regional social trust in the home country and low respect for regulations and laws as proxied by political connections, are more likely to commit accounting and financial fraud. They take advantage of low hurdles for listing via reverse mergers and avoid third-party monitoring through poor governance and auditors. Finally, we find evidence, after these scandals, of non-fraudulent firms differentiating themselves from the fraudulent firms by sending costly signals such as insiders purchasing shares, increasing dividends, and going private. (shrink)

An examination of the role of the scientist in the process of understanding the world, and a reexamination of scientific objectivity, model building, and the place of scientists in the hierarchy of natural systems.

ABSTRACT Contrary to Laurel Gleason's assertions, Deliberative Polling among random samples is not a process that is dominated by “experts” or by certain categories of deliberator; it produces genuine gains among the participants in knowledge of information that has been verified as true and relevant; it does not cause ideological polarization; and it is not intended as a substitute for, rather than a supplement to, deliberation on the part of the general public.

Converse's seminal 1964 article explored three crucial limitations of public opinion as it is revealed in conventional polls: information levels, belief systems, and nonattitudes. These limitations are significant from the standpoint of democratic theory, but it is possible to design forms of public consultation and of social‐science research that will reveal what public opinion might be like if these limitations were somehow overcome. Deliberative Polling is an effort to explore the contours of such a counterfactual public opinion—one that is more (...) informed and engaged than is the mass public. Doing so requires going beyond “polling alone.”. (shrink)

It is becoming increasingly common for authoritarian regimes to leverage digital technologies to surveil, repress and manipulate their citizens. Experts typically refer to this practice as digital authoritarianism (DA). Existing definitions of DA consistently presuppose a politically repressive agent intentionally exploiting digital technologies to pursue authoritarian ends. I refer to this as the intention-based definition. This paper argues that this definition is untenable as a general description of DA. I begin by illustrating the current predominance of the intention-based definition (Section (...) 2). Section 3 then presents four counterexamples to this definition: benign surveillance; digital sovereignty; attention-harvesting algorithms; and tech-induced loneliness. In each case, we witness authoritarianism being promoted by digital technologies without any evidence of this being intentionally caused by politically repressive agents. Based on these observations, I contend that the intention-based definition is underinclusive and is therefore unsustainable. Section 4 outlines an improved definition of DA – what I call the promotion-based definition. Since this more expansive definition does not posit intentional, politically repressive agency as a precondition of DA, it can accommodate the counterexamples discussed in Section 3. Moreover, it enables us to catch a broader spectrum of cases of DA, such as tech-induced loneliness, which those adhering to the intention-based definition are prone to overlook. After outlining further practical benefits of the promotion-based definition, I argue that we still need to distinguish between intentional and unintentional forms of DA since they call for distinct types of remedial action. -/- . (shrink)

A new interpretation of educational philosophy that traces its origins to both social science and philosophy.

It’s one of the most common complaints against Christians: “They’re all a bunch of hypocrites!” Yet surprisingly, the topic of hypocrisy has remained largely unaddressed both in Christian and secular literature. In Hypocrisy, James Spiegel draws insights from ethics, theology, psychology, apologetics, and spiritual formation to guide you through this complex subject.

Play The concept of play has received considerable attention in the past, yet one can generally conclude from modern work on the subject that its stature ...

Scholar and author James Spiegel affirms the classic view of God's omniscience and omnipotence and shows how it answers difficult questions that Christians wrestle with, including the problem of evil.

In this essay I review three important volumes for the field of secular studies: Varieties of Secularism in a Secular Age, Rethinking Secularism, and The Power of Religion in the Public Sphere. All three volumes explore the nature of the secular and the status, role, and possible futures of religion in our late modern, globalized world. The volumes present 34 essays by 30 authors representing seven disciplines, and at least six end games. For some, questions of religion-secular entanglement are a (...) historical matter and the task is to map intellectual and ideological trajectories. A second purpose is to empirically document the complexities of particular religion-secular entanglements in particular socio-cultural locations. For others, the remit is theoretical, to discern a conceptual agenda for the ongoing study of religion-secular entanglements. Others are more philosophical, chasing the existential consequences of secularity. A fifth end game is applied in nature: reflections on how political actors might best engage the religious and the secular in acts of governance and international relations. Finally, there are normative voices, those seeking to name what a good, productive religion-secular entanglement ought to look like. Taken together, the volumes mark a thriving, mature field of scholarly inquiry: secular studies has come of age. (shrink)

Discussing authorial power, landscape metaphor and the notions of community and sense of place, this explores the ways in which spatial and cultural analysis have found much common ground in making sense of ourselves and the landscape we inhabit.

At first glance, Fichte and Nietzsche might strike us as intellectual contraries. This impression is reinforced by Nietzsche’s disparaging remarks about Fichte. The dearth of critical literature comparing the two thinkers also could easily lead us to believe that they are, for all intents and purposes, irrelevant to one another. In this paper, however, I argue that their theories of subjectivity are in many respects remarkably similar and worthy of comparison. But I further explain how, despite this convergence, their normative (...) philosophies end up so conspicuously at odds with one another. After examining the resemblance between their denials of the substantial self, I respectively analyse Fichte’s and Nietzsche’s positive accounts of subjectivity, self-cultivation, and the political preconditions of self-cultivation. I locate the conceptual juncture at which their practical outlooks begin to part ways in their divergent drive psychologies and in their distinct conceptions of conscience. These apparently minor theoretical differences generate a large-scale disagreement regarding the political systems they believe best enable self-cultivation, with Fichte favouring a democratic regime, while Nietzsche opts for a markedly more aristocratic one. I close by sketching a possible way out of this dilemma. (shrink)