Chapter Outline of Byzantine history: the political context This chapter goes no further than an attempt at a sketch of the history of the Byzantine ...

This work defines its course in reference to Nietzsche's Also Sprach Zarathustra.

We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...) Bos and Laugwitz seek to explore Eulerian methodology, practice, and procedures in a way more faithful to Euler’s own. Euler’s use of infinite integers and the associated infinite products are analyzed in the context of his infinite product decomposition for the sine function. Euler’s principle of cancellation is compared to the Leibnizian transcendental law of homogeneity. The Leibnizian law of continuity similarly finds echoes in Euler. We argue that Ferraro’s assumption that Euler worked with a classical notion of quantity is symptomatic of a post-Weierstrassian placement of Euler in the Archimedean track for the development of analysis, as well as a blurring of the distinction between the dual tracks noted by Bos. Interpreting Euler in an Archimedean conceptual framework obscures important aspects of Euler’s work. Such a framework is profitably replaced by a syntactically more versatile modern infinitesimal framework that provides better proxies for his inferential moves. (shrink)

H. G. Liddell & R. Scott, A Greek-English Lexicon, rev. and aug. by Sir H. S. Jones. with the ass. of R. McKenzie, Oxford, Clarendon Press, 1940. ῥυθμός , Ion. ῥυσμός (v. infr. 111, IV), ὁ : (ῥέω) :— A. any regular recurring motion (“πᾶς ῥ. ὡρισμένῃ μετρεῖται κινήσει” Arist.Pr.882b2) : I. measured motion, time, whether in sound or motion, Democr.15c ; = ἡ τῆς κινήσεως τάξις, Pl.Lg.665a, cf. 672e ; “ὁ ῥ. ἐκ τοῦ ταχέος (...) - Études grecques et (...) latines. (shrink)

New anti‐obesity medications (AOMs) have received widespread acclaim in medical journals and the media, but they also raise critical ethical, public health, and public policy concerns that have largely been ignored. AOMs are very costly, need to be taken by a patient in perpetuity (since significant rebound weight gain otherwise occurs), and threaten to shift resources and focus away from other crucial efforts at obesity treatment and prevention. Many people may feel less motivated to exercise or reduce their caloric consumption, (...) if they assume that obesity is now medically treatable. Policy‐makers may similarly come to feel that the solution to the obesity pandemic is simply to prescribe medications and that prevention efforts are far less necessary. These drugs raise concerns about justice (since AOMs will disproportionately benefit the wealthy), medicalization, and marketing. Policy‐makers, clinicians, and others need to engage in multipronged educational and policy efforts to address these challenges. (shrink)

A model of information technology (IT) ethical work climates is presented. Using these ethical work climates and data collected from a national mail survey of Association for Computing Machinery (ACM) members, empirical measures were developed and evaluated. A mailing of 2446 questionnaires was sent to ACM members and 136 usable responses were returned (5.6%). Using these data, an exploratory factor analysis was performed using principle components analysis to identify the IT ethical work climates from the data. Six of these work (...) climates were identified as predicted by the model. Two ethical work climates that were combinations of the proposed climates were also identified.From the results of the exploratory factor analysis, a confirmatory factor analysis was performed using Calis in PC SAS version 8. The purpose of this analysis was to evaluate the overall fit of these measures to the data and evaluate the psychometric properties of the measures. The fit of the IT ethical work climates model was acceptable. The psychometric properties of these measures were good. Based on these results, conclusions, limitations of the study, and directions for future research are proposed. (shrink)

Originally published in 1934, this book contains the last three books of the Latin text of Cicero's Disputations at Tusculum, the second volume of Dougan's two-volume critical edition of the text. The Latin is accompanied by a running commentary, and Dougan provides an introduction on the arguments contained in the books and the manuscript sources for the text. This book will be of value to anyone with an interest in the works of Cicero.

Alfred North Whitehead 's treatise Universal Algebra classifies algebras as either non-numerical or numerical according to whether they satisfy the law of idempotency, a + a = a. We undertake a technical critique of this classification scheme and examine how its flaws may reflect certain mathematical and philosophical biases in Whitehead 's outlook. We argue further that Whitehead 's presumption of immutable foundations for mathematics and his early commitment to the priority of objects over relations may in part account for (...) his relative obscurity as a mathematician. (shrink)