Before Edward Gibbon began his history of the Christian empire, he ended the first volume of the “Decline and Fall” with two chapters on the rise of Christianity before Constantine. These were believed to deny or ignore its character as revelation. It was also pointed out that this purpose was irrelevant to the history he had set out to write. The church historians he read focussed on the interactions between the Christian gospel and Hellenic philosophy. Gibbon, however, chose to (...) emphasize the Christian rejection of cultic polytheism, and gave a Humean account of the early Christians as enthusiasts. Five years elapsed between the first and second volumes of his history. By the latter date his reputation as an unbeliever was established, and has since received more attention than the history he wrote. (shrink)

Anticipated nostalgia is a new construct that has received limited empirical attention. It concerns the anticipation of having nostalgic feelings for one’s present and future experiences. In three...

In this dialogue we explain why nonrelativistic and relativistic quantum mechanics are basically the same and how the Lorentz group operates canonically only on the dynamics.

This paper describes the application of eight statistical and machine-learning methods to derive computer models for predicting mortality of hospital patients with pneumonia from their findings at initial presentation. The eight models were each constructed based on 9847 patient cases and they were each evaluated on 4352 additional cases. The primary evaluation metric was the error in predicted survival as a function of the fraction of patients predicted to survive. This metric is useful in assessing a model’s potential to assist (...) a clinician in deciding whether to treat a given patient in the hospital or at home. We examined the error rates of the models when predicting that a given fraction of patients will survive. We examined survival fractions between 0.1 and 0.6. Over this range, each model’s predictive error rate was within 1% of the error rate of every other model. When predicting that approximately 30°K of the patients will survive, all the models have an error rate of less than 1.5%. The models are distinguished more by the number of variables and parameters that they contain than by their error rates; these differences suggest which models may be the most amenable to future implementation as paper-based guidelines. (shrink)

BackgroundAlthough the number of reporting guidelines has grown rapidly, few have gone through an updating process. The STARD statement (Standards for Reporting Diagnostic Accuracy), published in 2003 to help improve the transparency and completeness of reporting of diagnostic accuracy studies, was recently updated in a systematic way. Here, we describe the steps taken and a justification for the changes made.ResultsA 4-member Project Team coordinated the updating process; a 14-member Steering Committee was regularly solicited by the Project Team when making critical (...) decisions. First, a review of the literature was performed to identify topics and items potentially relevant to the STARD updating process. After this, the 85 members of the STARD Group were invited to participate in two online surveys to identify items that needed to be modified, removed from, or added to the STARD checklist. Based on the results of the literature review process, 33 items were presented to the STARD Group in the online survey: 25 original items and 8 new items; 73 STARD Group members (86 %) completed the first survey, and 79 STARD Group members (93 %) completed the second survey.Then, an in-person consensus meeting was organized among the members of the Project Team and Steering Committee to develop a consensual draft version of STARD 2015. This version was piloted in three rounds among a total of 32 expert and non-expert users. Piloting mostly led to rewording of items. After this, the update was finalized. The updated STARD 2015 list now consists of 30 items. Compared to the previous version of STARD, three original items were each converted into two new items, four original items were incorporated into other items, and seven new items were added.ConclusionsAfter a systematic updating process, STARD 2015 provides an updated list of 30 essential items for reporting diagnostic accuracy studies. (shrink)

Due to Gӧdel’s incompleteness results, the categoricity of a sufficiently rich mathematical theory and the semantic completeness of its underlying logic are two mutually exclusive ideals. For first- and second-order logics we obtain one of them with the cost of losing the other. In addition, in both these logics the rules of deduction for their quantifiers are non-categorical. In this paper I examine two recent arguments –Warren (2020), Murzi and Topey (2021)– for the idea that the natural deduction rules for (...) the first-order universal quantifier are categorical, i.e., they uniquely determine its semantic intended meaning. Both of them make use of McGee’s open-endedness requirement and the second one uses in addition Garson’s (2013) local models for defining the validity of these rules. I argue that the success of both these arguments is relative to their semantic or infinitary assumptions, which could be easily discharged if the introduction rule for the universal quantifier is taken to be an infinitary rule, i.e. non-compact. Consequently, I reconsider the use of the ω-rule and I show that the addition of the ω-rule to the standard formalizations of first-order logic is categorical. In addition, I argue that the open-endedness requirement does not make the first-order Peano Arithmetic categorical and I advance an argument for its categoricity based on the inferential conservativity requirement. (shrink)

Presently, the social responsibility literature is replete with the diverse ways in which work organizations and the regulatory nation states in which they are domiciled can improve the quality of their workers’ lives. But do workers themselves become motivated to contribute (i.e., give back) to society when they experience a work life of better quality than their peers? Specifically, which sectors of society do such workers contribute to? Through a questionnaire that was administered to a cross section of workers in (...) the private sector of Nigeria, this study found out that quality of work life (QWL) correlates significantly and positively with workers’ motivation to contribute to society. However, workers were less motivated to contribute to Nigeria’s government sector that is globally known for corruption than making contributions to the piety and social infrastructural sectors. Results also revealed that both the paternalistic and consultative forms of social responsibility were positively related with QWL. These results imply that social responsibility should be seen as a veritable platform on which satisfied stakeholders of business organizations can reciprocally make their own contributions for the overall good of society. By virtue of stakeholders’ contributions, the benefits of corporate social responsibility can actually reverberate into other sectors of societal life (e.g., the piety sector) that were never thought of during the design phase of socially responsible programmes. Finally, the study’s findings give credence to Anil Sarin’s Contributory Theory of Existence which states that people who have once received help from a particular organ of society (e.g., educational system, health care system, etc.) will be motivated to contribute to that organ or other organs of society. (shrink)

The starting point of the present study is the interpretation of intuitionistic linear logic in Petri nets proposed by U. Engberg and G. Winskel. We show that several categories of order algebras provide equivalent interpretations of this logic, and identify the category of the so called strongly coherent quantales arising in these interpretations. The equivalence of the interpretations is intimately related to the categorical facts that the aforementioned categories are connected with each other via adjunctions, and the compositions of the (...) connecting functors with co-domain the category of strongly coherent quantales are dense. In particular, each quantale canonically induces a Petri net, and this association gives rise to an adjunction between the category of quantales and a category whose objects are all Petri nets. (shrink)

This paper aims to explore the space of possible particularistic approaches to Philosophy of Science by examining the differences and similarities between Jonathan Dancy’s moral particularism—as expressed in both his earlier writings (e.g., Moral Reasons , 1993), and, more explicitly defended in his book Ethics without Principles (2004)—and Nancy Cartwright’s particularism in the philosophy of science, as defended in her early collection of essays, How the Laws of Physics Lie (1983), and her later book, The Dappled World: A Study of (...) the Boundaries of Science (1999). I shall argue that Dancy’s particularism is more radical, but also more plausible, than Cartwright’s, concluding that we have good reason to embrace a scientific particularism that is far closer to Dancy’s ethical particularism than any view defended by Nancy Cartwright, or any other philosopher from the ‘Stanford school’ of scientific theory. (shrink)

The Royal Society possesses three long-focus simple lenses of diameters 195, 210 and 230 mm, all inscribed with the signature ‘C. Huygens’ and various dates in the year 1686. These prove to have been made by Constantine Huygens, the elder brother of the famous Christiaan Huygens. All three lenses have been examined by a variety of physical and chemical methods, both to define their optical characteristics and to establish the composition of dated samples of late-seventeenth-century Continental glass. The focal (...) lengths of 37·9, 50·1 and 65·2 metres found by combination agree with Huygens' own values of 122, 170 and 210 feet respectively, and are so great that practical employment of the lenses in aerial telescopes has rarely been achieved. All are made from the same very poor glass—a heterogeneous and discoloured potash-rich ‘forest glass’—with a refractive index of 1·516, a costringence of 60, and a density of 2·5 g cm−3. The three lenses were ground with just two concave laps, of radii of curvature 27·11 and 71·15 metres, one lens being plano-convex to a high degree of accuracy. A claim by previous investigators that one lens was a ‘light flint’ glass has been disproved. (shrink)

Dans le 4e livre de sa Chronique du monde, Jean Malalas décrit l'histoire du lieu de pèlerinage de l'archange Michel à Anaplous près de Constantinople. Cette histoire comprend deux parties dont la première relate la construction d'un temple par les argonautes qui rebaptise la place Sosthenion c'est-à-dire la place du salut et dont la seconde parle de la visite du site par Constantin qui aura la révélation de l'identité de la statue de Michel à travers un rêve. Pour l'A. ce (...) récit a une signification réelle au sein de l'oeuvre idéologique de la Chronique. Le lieu de pèlerinage se place dans la continuité de l'histoire du salut instaurée par le Christ et s'élargie sous l'empereur Constantin. Celui-ci joue un rôle essentiel dans la rédemption du sanctuaire païen de Sosthène : l'épisode de son rêve préfigure sa conversion. (shrink)

Mr. Norman H. Baynes thinks that the conclusions which I reached in my essay on the ‘Chronology of the Ninth Book of the Ecclesiastical History of Eusebius’ are ‘difficult to believe.’ That is due, he says, to the fact that I based my reconstruction ‘on one of the most doubtful sections of that book’—that in which Eusebius states that the Emperor Maximin wrote his letter to Sabinus after he received the ‘Edict of Milan.’ From it I inferred that the letter (...) was dispatched early in 313. No doubt Eusebius' assertion raises difficulties. But when a contemporary witness of high authority speaks it may be wise not to reject his evidence before the difficulties which seem to overthrow it are scrutinized. In the present instance the difficulties seem to me to vanish on examination. But Mr. Baynes appears to have overlooked my attempt to deal with them. His own view of the date of the letter is expressed in a single sentence ‘In November of 312 Maximin would receive news of Constantine's victory [at the Milvian Bridge], and as a result he issues the letter to Sabinus permitting Christian worship late in 312.’ But where is his evidence? All I can find is that in his edict of toleration Maximin affirms that ‘last year’ he wrote the letter. ‘This passage proves that that letter dates from the year 312.’ Yes, if Maximin's year began in January. But is that certain? In the East, New Year's Day was not uncommonly in September. (shrink)

In this study we examine the information in the sources concerning the Byzantine family of Opoi in the eleventh and twelfth centuries. According to the sources, the Opoi were an important family in that period. Although they did not belong to the major aristocratic families, many of them were distinguished in the military administration of the Empire, such as Constantine Opos during the reign of Romanos III Argyros and Michael IV Paphlagon , the homonymous officer of Alexios I Komnenos (...) , the megas hetaireiarches Opos under John II Komnenos and Constantine Opos under Manuel I Komnenos. (shrink)

This chapter contains sections titled: Introduction Particularism vs. Universalism Modern vs. Traditional Philosophy and Language Conceptual Decolonization and the Question of Democracy and Consensus The Problem of Linguistic Inadequacy Whither African Philosophy?

Classical temples in ancient Greece show two deterministic illusionistic principles of architecture, which govern their functional design: geometric proportionalism and a set of illusion-strengthening rules in the proportionalism's stochastic margin. Animal morphology, in its mechanistic-deductive revival, applies just one architectural principle, which is not always satisfactory. Whether a Greek Classical situation occurs in the architecture of living structure is to be investigated by extreme testing with deductive methods.Three deductive methods for explanation of living structure in animal morphology are proposed: the (...) parts, the compromise, and the transformation deduction. The methods are based upon the systems concept for an organism, the flow chart for a functionalistic picture, and the network chart for a structuralistic picture, whereas the optimal design serves as the architectural principle for living structure. These methods show clearly the high explanatory power of deductive methods in morphology, but they also make one open end most explicit: neutral issues do exist. (shrink)

Some ways of defending inequality against the charge that it is unjust require premises that egalitarians find easy to dismiss—statements, for example, about the contrasting deserts and/or entitlements of unequally placed people. But a defense of inequality suggested by John Rawls and elaborated by Brian Barry has often proved irresistible even to people of egalitarian outlook. The persuasive power of this defense of inequality has helped to drive authentic egalitarianism, of an old-fashioned, uncompromising kind, out of contemporary political philosophy. The (...) present essay is part of an attempt to bring it back in. (shrink)

1. The present paper is a continuation of my “Self-Ownership, World Ownership, and Equality,” which began with a description of the political philosophy of Robert Nozick. I contended in that essay that the foundational claim of Nozick's philosophy is the thesis of self-ownership, which says that each person is the morally rightful owner of his own person and powers, and, consequently, that each is free to use those powers as he wishes, provided that he does not deploy them aggressively against (...) others. To be sure, he may not harm others, and he may, if necessary, be forced not to harm them, but he should never be forced to help them, as people are in fact forced to help others, according to Nozick, by redistributive taxation. (shrink)

In this stimulating work of political philosophy, acclaimed philosopher G. A. Cohen sets out to rescue the egalitarian thesis that in a society in which distributive justice prevails, peopleâes material prospects are roughly equal. Arguing against the Rawlsian version of a just society, Cohen demonstrates that distributive justice does not tolerate deep inequality. In the course of providing a deep and sophisticated critique of Rawlsâes theory of justice, Cohen demonstrates that questions of distributive justice arise not only for the state (...) but also for people in their daily lives. The right rules for the macro scale of public institutions and policies also apply, with suitable adjustments, to the micro level of individual decision-making. Cohen also charges Rawlsâes constructivism with systematically conflating the concept of justice with other concepts. Within the Rawlsian architectonic, justice is not distinguished either from other values or from optimal rules of social regulation. The elimination of those conflations brings justice closer to equality. (shrink)