One of the most influential scientific treatises in Cauchy's era was J.-L. Lagrange's Mécanique Analytique, the second edition of which came out in 1811, when Cauchy was barely out of his teens. Lagrange opens his treatise with an unequivocal endorsement of infinitesimals. Referring to the system of infinitesimal calculus, Lagrange writes:Lorsqu'on a bien conçu l'esprit de ce système, et qu'on s'est convaincu de l'exactitude de ses résultats par la méthode géométrique des premières et dernières raisons, ou par la méthode analytique (...) des fonctions dérivées, on peut employer les infiniment petits comme un instrument sûr et commode pour abréger et simplifier les demonstrations.Lagrange's renewed enthusiasm for .. (shrink)

We apply a framework developed by C. S. Peirce to analyze the concept of clarity, so as to examine a pair of rival mathematical approaches to a typical result in analysis. Namely, we compare an intuitionist and an infinitesimal approaches to the extreme value theorem. We argue that a given pre-mathematical phenomenon may have several aspects that are not necessarily captured by a single formalisation, pointing to a complementarity rather than a rivalry of the approaches.

Abraham Robinson’s framework for modern infinitesimals was developed half a century ago. It enables a re-evaluation of the procedures of the pioneers of mathematical analysis. Their procedures have been often viewed through the lens of the success of the Weierstrassian foundations. We propose a view without passing through the lens, by means of proxies for such procedures in the modern theory of infinitesimals. The real accomplishments of calculus and analysis had been based primarily on the elaboration of novel techniques for (...) solving problems rather than a quest for ultimate foundations. It may be hopeless to interpret historical foundations in terms of a punctiform continuum, but arguably it is possible to interpret historical techniques and procedures in terms of modern ones. Our proposed formalisations do not mean that Fermat, Gregory, Leibniz, Euler, and Cauchy were pre-Robinsonians, but rather indicate that Robinson’s framework is more helpful in understanding their procedures than a Weierstrassian framework. (shrink)

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)

In relation to a thesis put forward by Marx Wartofsky, we seek to show that a historiography of mathematics requires an analysis of the ontology of the part of mathematics under scrutiny. Following Ian Hacking, we point out that in the history of mathematics the amount of contingency is larger than is usually thought. As a case study, we analyze the historians’ approach to interpreting James Gregory’s expression ultimate terms in his paper attempting to prove the irrationality of \. Here (...) Gregory referred to the last or ultimate terms of a series. More broadly, we analyze the following questions: which modern framework is more appropriate for interpreting the procedures at work in texts from the early history of infinitesimal analysis? As well as the related question: what is a logical theory that is close to something early modern mathematicians could have used when studying infinite series and quadrature problems? We argue that what has been routinely viewed from the viewpoint of classical analysis as an example of an “unrigorous” practice, in fact finds close procedural proxies in modern infinitesimal theories. We analyze a mix of social and religious reasons that had led to the suppression of both the religious order of Gregory’s teacher degli Angeli, and Gregory’s books at Venice, in the late 1660s. (shrink)

Did Leibniz exploit infinitesimals and infinities à la rigueur or only as shorthand for quantified propositions that refer to ordinary Archimedean magnitudes? Hidé Ishiguro defends the latter position, which she reformulates in terms of Russellian logical fictions. Ishiguro does not explain how to reconcile this interpretation with Leibniz’s repeated assertions that infinitesimals violate the Archimedean property (i.e., Euclid’s Elements, V.4). We present textual evidence from Leibniz, as well as historical evidence from the early decades of the calculus, to undermine Ishiguro’s (...) interpretation. Leibniz frequently writes that his infinitesimals are useful fictions, and we agree, but we show that it is best not to understand them as logical fictions; instead, they are better understood as pure fictions. (shrink)

The small, the tiny, and the infinitesimal have been the object of both fascination and vilification for millenia. One of the most vitriolic reviews in mathematics was that written by Errett Bishop about Keisler’s book Elementary Calculus: an Infinitesimal Approach. In this skit we investigate both the argument itself, and some of its roots in Bishop George Berkeley’s criticism of Leibnizian and Newtonian Calculus. We also explore some of the consequences to students for whom the infinitesimal approach is congenial. The (...) casual mathematical reader may be satisfied to read the text of the five act play, whereas the others may wish to delve into the 130 footnotes, some of which contain elucidation of the mathematics or comments on the history. (shrink)

Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy’s proof, and discuss the related epistemological questions involved in comparing distinct interpretive paradigms. Cauchy’s proof is often interpreted in the modern framework of a Weierstrassian paradigm. We analyze Cauchy’s proof closely and show that it finds closer proxies in a different modern framework.

To explore the extent of embeddability of Leibnizian infinitesimal calculus in first-order logic (FOL) and modern frameworks, we propose to set aside ontological issues and focus on pro- cedural questions. This would enable an account of Leibnizian procedures in a framework limited to FOL with a small number of additional ingredients such as the relation of infinite proximity. If, as we argue here, first order logic is indeed suitable for developing modern proxies for the inferential moves found in Leibnizian infinitesimal (...) calculus, then modern infinitesimal frameworks are more appropriate to interpreting Leibnizian infinitesimal calculus than modern Weierstrassian ones. (shrink)

We analyze the developments in mathematical rigor from the viewpoint of a Burgessian critique of nominalistic reconstructions. We apply such a critique to the reconstruction of infinitesimal analysis accomplished through the efforts of Cantor, Dedekind, and Weierstrass; to the reconstruction of Cauchy’s foundational work associated with the work of Boyer and Grabiner; and to Bishop’s constructivist reconstruction of classical analysis. We examine the effects of a nominalist disposition on historiography, teaching, and research.

We explore the potential of Simon Stevin’s numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.

Researchers from diverse disciplines, including organismal and cellular physiology, sports science, human nutrition, evolution and ecology, have sought to understand the causes and consequences of the surprising variation in metabolic rate found among and within individual animals of the same species. Research in this area has been hampered by differences in approach, terminology and methodology, and the context in which measurements are made. Recent advances provide important opportunities to identify and address the key questions in the field. By bringing together (...) researchers from different areas of biology and biomedicine, we describe and evaluate these developments and the insights they could yield, highlighting the need for more standardisation across disciplines. We conclude with a list of important questions that can now be addressed by developing a common conceptual and methodological toolkit for studies on metabolic variation in animals. (shrink)

Relational, selfless, caring, polite, nice, and kind are not how we imagine a woman giving birth in U.S. culture. Rather, we picture her as screaming, yelling, self-centered, and demanding drugs or occasionally as numbed and passive from pain-killing medication. Using in-depth interviews with women about their labor and childbirth, the author presents data to suggest that white, middle-class, heterosexual women often worry about being nice, polite, kind, and selfless in their interactions during labor and childbirth. This finding is important not (...) only because it contradicts the dominant cultural image of the birthing woman but because it reveals that an internalized sense of gender plays a role in disciplining women and their bodies during childbirth. The feminist sociological literatures on birth are concerned with how women and their bodies are controlled, yet they have overlooked this other dimension of control that is not institutional but is a product of how gender is internalized. (shrink)

In early 2011, news emerged that United States authorities had begun to apply injections of pentobarbital, a substance provided by Danish pharmaceutical company Lundbeck, when executing capital punishments. Lundbeck reported to be appalled by such unintended usage of pentobarbital, which is licensed for treatment of refractory forms of epilepsy and for usage as an anaesthetic.The human rights NGOs Reprieve and Amnesty International urged Lundbeck to ensure that pentobarbital was not made available to U.S. authorities for use in capital punishments. Lundbeck (...) argued that complete halting of provision of pentobarbital would be detrimental to patients suffering from conditions of severe epilepsy for whom the substance was developed and intended for treatment for life-threatening epileptic seizures. Lundbeck’s Danish headquarters also argued that controlling the provision of pentobarbital was out of Danish Lundbeck’s hands because the substance is produced at Lundbeck’s plant in the United States. Eventually, after talks with Amnesty International and Reprieve, Lundbeck in July 2011 announced that it would seek to put a stop to using pentobarbital in capital punishment through the introduction of a “drop-ship” program. (shrink)

The U.S. National Institute of Allergies and Infectious Diseases and the National Institute of Mental Health have a new research priority: inclusion of terminally ill persons living with HIV in HIV cure-related research. For example, the Last Gift is a clinical research study at the University of California San Diego for PLWHIV who have a terminal illness, with a prognosis of less than 6 months. As end-of-life HIV cure research is relatively new, the scientific community has a timely opportunity to (...) examine the related ethical challenges. Following an extensive review of the EOL and HIV cure research ethics literature, combined with deliberation from various stakeholders and our experience with the Last Gift study to date, we outline considerations to ensure that such research with terminally ill PLWHIV remains ethical, focusing on five topics: 1) protecting autonomy through informed consent, 2) avoiding exploitation and fostering altruism, 3) maintaining a favorable benefits/risks balance, 4) safeguarding against vulnerability through patient-participant centeredness, and 5) ensuring the acceptance of next-of-kin/loved ones and community stakeholders. EOL HIV cure-related research can be performed ethically and effectively by anticipating key issues that may arise. While not unique to the fields of EOL or HIV cure-related research, the considerations highlighted can help us support a new research approach. We must honor the lives of PLWHIV whose involvement in research can provide the knowledge needed to achieve the dream of making HIV infection curable. (shrink)

During the first years of organized agricultural research in Mexico in the 1940s, two agencies ran separate programs for corn improvement. The Rockefeller Foundation's Office of Special Studies and the Mexican government's Office of Experiment Stations carried out research on corn with distinct aims and methods. That they differed strongly is well established in the literature. Many authors have discussed a Rockefeller Foundation program that reportedly emphasized hybrid corn, a technical choice that embodied a preference for assisting wealthy farmers who (...) could afford hybrid corn and the necessary agricultural inputs. Conversely, these authors attribute to the Mexican program a focus on open-pollinated corn, which presumably manifested its concern for Mexico's small farmers who saved seed. This article argues that the reverse was true. The Rockefeller Foundation program initially was committed to a type of improved open-pollinated corn while the Mexican program proceeded with a strict, U.S.-style hybrid program. I try to illuminate each group's priority on yield, as well as additional significant, and complicating, breeding priorities that precluded any collaboration between the two. (shrink)

The article discusses the dynamics of currencies, of media of exchange in a perspective of longue durée. It explores the concept of ›toxic media‹ and of an ›ecology of practices‹ by tracing discussions on cacao as money and as consumable since the 15th century. Furthermore, historically specifi c versions of general purpose money, such as the Spanish Silver-Peso and the U.S. dollar are compared with to self-restricting currencies: currencies that are more tightly knit into the »web of life« ( Jason (...) Moore), into local economies and ecologies and into cultural systems. The article determines toxic effects of generalized media of exchange in the Capitalocene and discusses the interplay of situated money-regimes with generalized, globalized media of exchange. (shrink)

The article discusses the dynamics of currencies, of media of exchange in a perspective of longue durée. It explores the concept of ›toxic media‹ and of an ›ecology of practices‹ by tracing discussions on cacao as money and as consumable since the 15th century. Furthermore, historically specifi c versions of general purpose money, such as the Spanish Silver-Peso and the U.S. dollar are compared with to self-restricting currencies: currencies that are more tightly knit into the »web of life« ( Jason (...) Moore), into local economies and ecologies and into cultural systems. The article determines toxic effects of generalized media of exchange in the Capitalocene and discusses the interplay of situated money-regimes with generalized, globalized media of exchange. (shrink)

During the first years of organized agricultural research in Mexico in the 1940s, two agencies ran separate programs for corn improvement. The Rockefeller Foundation's Office of Special Studies and the Mexican government's Office of Experiment Stations (later called the Agricultural Research Institute) carried out research on corn with distinct aims and methods. That they differed strongly is well established in the literature. Many authors have discussed a Rockefeller Foundation program that reportedly emphasized hybrid corn, a technical choice that embodied a (...) preference for assisting wealthy farmers who could afford hybrid corn and the necessary agricultural inputs. Conversely, these authors attribute to the Mexican program a focus on open-pollinated corn, which presumably manifested its concern for Mexico's small farmers who saved seed. This article argues that the reverse was true. The Rockefeller Foundation program initially was committed to a type of improved open-pollinated corn while the Mexican program proceeded with a strict, U.S.-style hybrid program. I try to illuminate each group's priority on yield, as well as additional significant, and complicating, breeding priorities that precluded any collaboration between the two. (shrink)

After decades of single issue movements and identity politics on the U.S. left, the series of large demonstrations beginning in 1999 in Seattle have led many to wonder if activist politics can now come together around a common theme of global justice. This book pursues the prospects for progressive political movements in the 21st century with case studies of ten representative movements, including the anti-globalization forces, environmental interest groups, and new takes on the peace movement.

Einstein’s razor, a corollary of Ockham’s razor, is often paraphrased as follows: make everything as simple as possible, but not simpler. This rule of thumb describes the challenge that designers of a legal system face—to craft simple laws that produce desired ends, but not to pursue simplicity so far as to undermine those ends. Complexity, simplicity’s inverse, taxes cognition and increases the likelihood of suboptimal decisions. In addition, unnecessary legal complexity can drive a misallocation of human capital toward comprehending and (...) complying with legal rules and away from other productive ends. While many scholars have offered descriptive accounts or theoretical models of legal complexity, most empirical research to date has been limited to simple measures of size, such as the number of pages in a bill. No extant research rigorously applies a meaningful model to real data. As a consequence, we have no reliable means to determine whether a new bill, regulation, order, or precedent substantially effects legal complexity. In this paper, we begin to address this need by developing a proposed empirical framework for measuring relative legal complexity. This framework is based on “knowledge acquisition”, an approach at the intersection of psychology and computer science, which can take into account the structure, language, and interdependence of law. We then demonstrate the descriptive value of this framework by applying it to the U.S. Code’s Titles, scoring and ranking them by their relative complexity. We measure various features of a title including its structural size, the net flow of its intra-title citations and its linguistic entropy. Our framework is flexible, intuitive, and transparent, and we offer this approach as a first step in developing a practical methodology for assessing legal complexity. (shrink)

Bringing Human Rights Education to US Classrooms presents ten research-based human rights projects powerfully implemented in a range of U.S. classrooms, from elementary school through community college and university. In these classrooms, the students--primarily young people of color who have experienced or witnessed human rights abuses such as discrimination and poverty--are exposed for the first time to thinking about their own lives and the world through an empowering human rights lens. Unique in integrating theory and classroom practice, and in addressing (...) human rights issues with special relevance for communities of color in the US, Katz and Spero provide indispensable guidance for those studying and teaching human rights. (shrink)

Among the many parodic elements in theHomeric Hymn to Hermesis the day-old baby's fart-omen. As is well-known, sneezing was considered prophetic in the ancient world, and the humour of the scene comes from the immediately preceding fart and the fact that Hermes’ bodily emissions are deliberate (σɉυ… øρασσάμευoζ ‘contriving’). Apollo has, in fact, gone in search of his baby brother on the basis of a standard bird-omen (note 2131 ‖ oìωυɂυ and 215 ‖༐σσυμέυωζ, echoed exactly in the later passage) and (...) confronted with Hermes’ signs, he recognizes that the crepitation is just as much an omen as the sneeze, witness the plural τoúτoιζ oìωυoîσι a few lines later (303). We may compare a passage in Aristophanes’Knights(638—42) where the Sausage-seller reports that he took courage before speaking to the Council from a good omen: a man farted to the right, ༐κ δπξιâζ ᾤπέπαρδε (639). Aristophanes’ formulation suggests to me that the composer of the hymn may be intentionally setting up a play on words (or even the possibility for a slip of the tongue or mishearing): the only difference between the verbal form ༐πέπταδε ‘sneezed’ (aorist to ༐πι-πτάρυuμαι, -πταíρω and its near-homophone ༐πέπαρδε ‘farted’ (aorist to ༐πι-πρδoμαι) is the (cross-linguistically trivial) reversal of the liquid and the dental stop. (shrink)

Among the many parodic elements in theHomeric Hymn to Hermesis the day-old baby's fart-omen. As is well-known, sneezing was considered prophetic in the ancient world, and the humour of the scene comes from the immediately preceding fart and the fact that Hermes’ bodily emissions are deliberate (σɉυ… øρασσάμευoζ ‘contriving’). Apollo has, in fact, gone in search of his baby brother on the basis of a standard bird-omen (note 2131 ‖ oìωυɂυ and 215 ‖༐σσυμέυωζ, echoed exactly in the later passage) and (...) confronted with Hermes’ signs, he recognizes that the crepitation is just as much an omen as the sneeze, witness the plural τoúτoιζ oìωυoîσι a few lines later (303). We may compare a passage in Aristophanes’Knights(638—42) where the Sausage-seller reports that he took courage before speaking to the Council from a good omen: a man farted to the right, ༐κ δπξιâζ ᾤπέπαρδε (639). Aristophanes’ formulation suggests to me that the composer of the hymn may be intentionally setting up a play on words (or even the possibility for a slip of the tongue or mishearing): the only difference between the verbal form ༐πέπταδε ‘sneezed’ (aorist to ༐πι-πτάρυuμαι, -πταíρω and its near-homophone ༐πέπαρδε ‘farted’ (aorist to ༐πι-πρδoμαι) is the (cross-linguistically trivial) reversal of the liquid and the dental stop. (shrink)

A typical discussion around health reform in the U.S. focuses on how the nation can most effectively and efficiently extend insurance coverage to the rising number of people who have none. Furthermore, discussions about health care reform typically are centered on times of normalcy, when the health care system is not overly taxed and there is the luxury of time to think about everyday matters of health and health care, including health care services needed to prevent illness, treat conditions, and (...) address individual emergencies. But in light of the lessons learned over the past decade, it is also essential to consider how any reformed health care system will react to and mitigate the consequences of a public health emergency. (shrink)

The under-representation of women on boards is a heavily discussed topic—not only in Germany. Based on critical mass theory and with the help of a hand-collected panel dataset of 151 listed German firms for the years 2000–2005, we explore whether the link between gender diversity and firm performance follows a U-shape. Controlling for reversed causality, we find evidence for gender diversity to at first negatively affect firm performance and—only after a “critical mass” of about 30 % women has been reached—to (...) be associated with higher firm performance than completely male boards. Given our sample firms, the critical mass of 30 % women translates into an absolute number of about three women on the board and hence supports recent studies on a corresponding “magic number” of women in the boardroom. (shrink)

Misuse or misunderstanding of medication information is a common and costly problem in the U.S. The risks of misunderstanding medication information are compounded for the large and growing population of individuals with limited English proficiency that often lacks access to this information in their own language. This paper examines practices related to translation of medication information in the European Union that may serve as a model for future U.S. policy efforts to improve the quality and availability of medication information for (...) individuals with limited English proficiency. (shrink)

Access to clear and concise medication information is essential to support safe and effective use of prescription drugs. Patient misunderstanding of medication information is a common reason for non-adherence to medication regimens and a leading cause of outpatient medication errors and adverse drug events in the U.S. Medication errors are the most common source of risk to patient safety, leading to poor health outcomes, hospitalizations, and deaths. Over half a million adverse drug events occur in the outpatient setting each year (...) at a cost of approximately $1 billion annually.Nearly half of adults in the U.S. experience difficulty understanding and acting upon health information. Even individuals with high levels of general literacy may find medication information difficult to understand or use. The risk of misunderstanding medication information is compounded for patients with limited English proficiency who may not have access to this information in their own language. (shrink)

"Der vorliegende Band hebt sich aus der wachsenden Zahl der Publikationen zur Spatantike und namentlich zur spatantiken Philosophie schon durch die Originalitat des behandelten Themas hervor, das eine Forschungsluecke schlieat. Die Beitrage von Wissenschaftlern verschiedener europaischer Nationen, die als Spezialisten fuer die Spatantike gelten konnen, bieten sowohl einzeln als auch in der Zusammenstellung einen echten Forschungsfortschritt." Plekos "a a valuable contribution. The volume also shows, as the product of predominantly young scholars, that the future of scholarship in the area of (...) ancient and Patristic philosophy is in good hands." Vigiliae Chritianae Inhalt: S. Follinger: Philosophische Theorien in Arnobius' apologetischer Argumentation J. Althoff: Zur Epikurrezeption bei Laktanz C. Riedweg: Philosophische Argumentationsstrukturen in Julians Contra Galilaeos D. J. O'Meara: Epicurus Neoplatonicus R. Thiel: Stoische Ethik im neuplatonischen System (Simplikios' Kommentar zu Epiktets Enchiridion) M. Erler: Hellenistische Philosophie im Platonismus der Spatantike M. Bettetini: Ai limiti della materia, tra neoplatonismo e cristianesimo K. Schlapbach: Ciceronisches und Neuplatonisches in den Proomien von Augustin, Contra Academicos 1 und 2 S. Harwardt: Die Gluecksfrage der Stoa in Augustins De beata vita C. Horn: Augustinus ueber Tugend, Moralitat und das hochste Gut T. Fuhrer: Zum wahrnehmungstheoretischen Hintergrund von Augustins Glaubensbegriff C. Oser-Grote: Virtus Romana und Virtus Christiana - ein romischer Wertbegriff bei Prudentius J. Opsomer / C. Steel: Proclus' Doctrine on the Origin of Evil K. Pollmann: Fiktionalitat in der Philosophie des Hellenismus und in der Spatantike U. Eigler: Strukturen und Voraussetzungen zum Erhalt von philosophischem Wissen in der Spatantike Stellenregister. (shrink)

In this eye-opening look at the doctor-patient decision-making process, physician and law professor Jay Katz examines the time-honored belief in the virtue of silent care and patient compliance. Historically, the doctor-patient relationship has been based on a one-way trust -- despite recent judicial attempts to give patients a greater voice through the doctrine of informed consent. Katz criticizes doctors for encouraging patients to relinquish their autonomy, and demonstrates the detrimental effect their silence has on good patient care. Seeing (...) a growing need in this age of medical science and sophisticated technology for more honest and complete communication between physician and patients, he advocates a new, informed dialogue that respects the rights and needs of both sides. In a new foreword to this edition of The Silent World of Doctor and Patient , Alexander Morgan Capron outlines the changes in medical ethics practice that have occurred since the book was first published in 1984, paying particular attention to the hotly debated issues of physician-assisted suicide and informed consent in managed care. (shrink)

This article analyzes the question of how the size of bribes should impact criminal sanctions. In contrast to the commonly held view that punishment should increase with the size of the bribe, we argue to the contrary: that the punishment of the bribee should decrease with the size of the bribe. Our conclusion is based both on a philosophical argument and an economic argument. We argue that all else being equal, as an agent’s reservation price for selling public interests decreases, (...) the culpability of the agent willing to receive a bribe increases. In addition, from an economic perspective, the expected social harm of an official acting with a low reservation price for bribes is much greater than one acting with a high reservation price: both the susceptibility of being bribed as well as the potential for social harm is much greater when the reservation price is low. (shrink)

Yeshayahu Leibowitz (1903–1994) was an Israeli philosopher and scientist. For decades, his thinking and persona were the embodiment of a Judaism in Israel. Getting to know him is getting to know a great Israeli thinker and also invites a window into the life of Israel and its problems.

This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove (...) the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof. (shrink)

How does science create knowledge? Epistemic cultures, shaped by affinity, necessity, and historical coincidence, determine how we know what we know. In this book, Karin Knorr Cetina compares two of the most important and intriguing epistemic cultures of our day, those in high energy physics and molecular biology. The first ethnographic study to systematically compare two different scientific laboratory cultures, this book sharpens our focus on epistemic cultures as the basis of the knowledge society.

In feminist media studies, the growing body of research on media production has indicated that journalism remains divided along gender lines. The purpose of this study is to address the lack of relevant multi-method research on gender inequality in journalism. To assess the structural position of women in the journalistic workforce, the authors conducted a large-scale survey of journalists in Belgium. The survey results were explored in more depth by conducting qualitative interviews with 19 female journalists. The analysis confirms the (...) existence of all traditional barriers that women journalists experience. The added value of this study is that it enumerates several additional difficulties, and offers insight into the strategies that the respondents use to deal with gender-related career obstacles. These strategies were associated with the degree of flexibility in the newsroom for journalists with children, the choice to work part-time or freelance, and the use of new communication technologies. (shrink)