Theoretical commentaries on AI often operate as a metadiscourse on the way in which science represents itself to a wider public. The sciences and humanities do the same kind of work but in different fields that encourage them to talk about their work differently: science refers to a natural world that does not talk back, and the humanities refer continually to a world with communicative people in it. This paper suggests that much AI commentary is misconceived because it models itself (...) on the way that science represents itself, rather than on the actual practice of science.AI theorists have become increasingly worried about the lack of evaluation in AI, the lack of reflexivity, and the lack of contact with society. Frequently these writers turn to concepts of tacit knowledge to work through these worries. In doing so they are recognising the problem of AI's second-order representation of science and trying to deal with it. However, this recognition of a problem with the representations of science simply turns back to the legitimation crisis of Western politics where many commentators use science precisely as a ‘model’ for western political institutions. They do so because science is one of the few areas of knowledge where it has been legitimate to use plausible methodology for representation that allows for arbitrary designations of authority as well as parallel systems of different authority. However, the plausible rejects any control on reflexivity, assumes an ethnocentric club culture and does not address social context.It is in this sense that the problems of legitimation in political liberalism are similar to those of legitimation in sciences, both are rooted in their uses of representation. AI's link with the representation of science places it in the heart of this debate about legitimacy. This paper suggests that AI does need to learn about reflexivity and that it might well do so by looking at the recent work on experimentation and representation by historians of science, and by looking to the debates about representation by historians of science, and by looking to the debates about representation within the humanities. However, reflexivity may not be enough. Devising rules of thumb for the appropriate halting of reflexivity, is also needed to address social context and take action. (shrink)

Journal editorials, career features, and the popular press commonly talk of a graduate student mental health crisis. To date, studies on graduate student mental health have employed cross-sectional designs, limiting any causal conclusions regarding the relationship between entry into graduate study and mental health. Here, we draw on data from a longitudinal study of undergraduate students in Aotearoa New Zealand, allowing us to compare participants who did, and did not, transition into PhD study following the completion of their undergraduate degree. (...) Using multilevel Bayesian regression, we identified a difference in mental wellbeing between those who entered PhD study and those who did not. This difference, however, was largely due to those not entering PhD study displaying an increase in mental wellbeing. Participants that entered PhD study displayed a small decrease in mental wellbeing, with the posterior distribution of the simple effect heavily overlapping zero. This latter finding was orders of magnitude smaller than one might expect based on previous cross-sectional research and provides an important message; that a marked drop in mental health is not an inevitable consequence of entering graduate study. (shrink)

Ethics is enabling of agency, but also normative and conventional. At the moment a gendered ethics, or the gendering of ethics, is a helpful approach because it is concerned with issues to do with people often peripheral to and excluded from power. At the moment it can work to keep ethics responsive, but how do we halt the drift into the normative, both as prescriptive and as ideological? A feminist ethics maintains the responsive and undermines prescriptive categories, and is committed (...) to involving disempowered voices in the conversation. The article is particularly concerned with the articulation of the situated, and raises questions about attending to, learning how to listen to and learning how to speak, so that many people from different places can get involved in ethics. Otherwise ethics isn’t ethical. (shrink)

_Critiques of Knowing_ explores what happens to science and computing when we think of them as texts. Lynette Hunter elegantly weaves together vast areas of thought: rhetoric, politics, AI, computing, feminism, science studies, aesthetics and epistemology. _Critiques of Knowing_ shows us that what we need is a radical shake-up of approaches to the arts if the critiques of science and computing are to come to any fruition.

This book discusses affective practices in performance through the study of four contemporary performers – Keith Hennessy, Ilya Noé, Caro Novella, and duskin drum – to suggest a tentative rhetoric of performativity generating political affect and permeating attempts at social justice that are often alterior to discourse. The first part of the book makes a case for the political work done alongside discourse by performers practising with materials that are not-known, in ways that are directly relevant to people carrying out (...) their daily lives. In the second part of the book, four case study chapters circle around figures of irresolvable paradox – hendiadys, enthymeme, anecdote, allegory – that gesture to what is not-known, to study strategies for processes of becoming, knowing and valuing. These figures also shape some elements of these performances that make up a suggested rhetorical stance for performativity. (shrink)

The inductive category formation framework, an influential set of theories of learning in psychology and artificial intelligence, is deeply flawed. In this framework a set of necessary and sufficient features is taken to define a category. Such definitions are not functionally justified, are not used by people, and are not inducible by a learning system. Inductive theories depend on having access to all and only relevant features, which is not only impossible but begs a key question in learning. The crucial (...) roles of other cognitive processes (such as explanation and credit assignment) are ignored or oversimplified. Learning necessarily involves pragmatic considerations that can only be handled by complex cognitive processes.We provide an alternative framework for learning according to which category definitions must be based on category function. The learning system invokes other cognitive processes to accomplish difficult tasks, makes inferences, analyses and decides among potential features, and specifies how and when categories are to be generated and modified. We also examine the methodological underpinnings of the two approaches and compare their motivations. (shrink)

This book offers an interdisciplinary approach to concepts of the self associated with the development of humanism in England, and to strategies for both inclusion and exclusion in structuring the early modern nation state. It addresses writings about rhetoric and behavior from 1495–1660, beginning with Erasmus’ work on sermo or the conversational rhetoric between friends, which considers the reader as an ‘absent audience’, and following the transference of this stance to a politics whose broadening democratic constituency needed a legitimate structure (...) for governance-at-a-distance. Unusually, the book brings together the impact on behavior of these new concepts about rhetoric, with the growth of the publishing industry, and the emergence of capitalism and of modern medicine. It explores the effects on the formation of the ‘subject’ and political legitimation of the early liberal nation state. It also lays new ground for scholarship concerned with what is left out of both selfhood and politics by that state, studying examples of a parallel development of the ‘self’ defined by friendship not only from educated male writers, but also from women writers and writers concerned with socially ‘middling’ and laboring people and the poor. (shrink)

Allegories, rhetoric, imagery, commonplaces, cliches and archetypes are discussed in connection with the literary work of authors such as Montaigne, Shakespeare, Jules Verne, Emile Zola and James Joyce.

Diverse Nations, Diverse Responses provides a rich overview of the historical, demographic, and political forces that shape social cohesion. It also provides a comparative analysis of the policy goals that have been pursued, the programs that have been implemented, the ways that social cohesion has been defined and measured, and the effects of such issues on immigrants, minorities, and host communities. The volume provides a cross-national conversation on approaches to social cohesion and will appeal to researchers, policy-makers, and practitioners interested (...) in immigration, diversity management, and the factors that affect policy choice, diversity, and outcomes. (shrink)

The Clever Object presents a multidisciplinary exploration of the ways objects materialise, embody, or negotiate various forms of intelligence, revealing its use as an analytic tool of art-historical interpretation. Presents an original theory (“the clever object”) that draws on contributions from a variety of fields, including history of art, anthropology, philosophy of science, and design history Features interviews with two contemporary artists Advances a theoretical conversation by combining historical contributions (from medieval/early modern) with contemporary perspectives Represents the results of a (...) project developed from an intensive research seminar in which all contributors participated and developed their work in evolving dialogue. (shrink)

Proceeding from a phenomenological perspective, the present study investigated the experiences of seven homeless women who had lived through childhood trauma and subsequent substance abuse, with specific focus on the recovery process experienced by each. Applying the analytical protocol of Giorgi to the written accounts obtained from the participants, 15 constituent themes of the recovery process were identified. In order to illuminate the participants’ experiences with minimal influence of any possible researcher bias, the researcher refrained from labelling, judging or diagnosing (...) the women’s life circumstances. Consequently, no treatment paradigm was applied to help explain, predict or judge the behaviour of the participants during the course of this research. (shrink)

Background Stroke is a worldwide problem with a limited number of approved treatments. Obtaining informed consent for acute stroke therapy is complicated by the breadth of information that must be communicated in a short period of time, the hectic nature of the emergency environment, the possible lack of understanding by the patient and/or family, and the critically time-sensitive nature of treatment for stroke. Complicating matters even further, patients are often unable to consent for themselves, placing the burden on surrogates to (...) infer patients’ wishes regarding treatment, and potentially limiting acute treatment by practitioners. Innovation An advance directive for acute stroke therapy was created, entitled COAST (Coordinating Options for Acute Stroke Therapy). This clinical initiative is being piloted at a large comprehensive stroke center, including the development of the advance directive form, integration of the form with electronic medical records, training healthcare providers, and outreach to patients. Conclusions COAST is an advance directive for stroke designed to make stroke care more efficient, optimize patients’ autonomy, improve the quality of healthcare, and streamline the ethical management of complex care decisions in acute stroke. The inherent benefit of COAST is in providing patients and their families with more information regarding stroke and its treatment options, allowing them to take a more active role in their care. (shrink)

Clinical trials of xenotransplantation (XTx) may begin early in the next decade, with kidneys from genetically modified pigs transplanted into adult humans. If successful, transplanting pig hearts into children with advanced heart failure may be the next step. Typically, clinical trials have a specified end date, and participants are aware of the amount of time they will be in the study. This is not so with XTx. The current ethical consensus is that XTx recipients must consent to lifelong monitoring. While (...) this presents challenges to the right to withdraw in the adult population, additional and unanswered questions also linger in the paediatric population. In paediatric XTx, parents or guardians consent not only to the initial treatment of the child but also to lifelong monitoring, thus making a decision whose consequences will remain present as the child develops the capacity for assent, and finally the capacity for informed consent or refusal. This article presents and evaluates unanswered paediatric ethical questions in regard to the right to withdraw from XTx follow-up in the paediatric population. (shrink)

One of the more recent approaches in attempting a reinterpretation of the philosophy of Johann Gottlieb Fichte has been to concentrate on his theory of interpersonality as a key to his system. But a study of Fichte’s interpersonal theory in its early forms shows, among other things, a rather surprising lack of treatment of an important form of immediate interpersonal experience: love. And yet if interpersonality lies at the core of Fichte’s philosophy, one could expect that a treatment of some (...) sort of love experience would be central to his view of the life-world. (shrink)

Persistent and pervasive rudeness and lack of respect are unfortunately common in workplaces today. The deleterious effects of this incivility at work may be even worse than previously demonstrated, impacting not only employee victims but also trickling down to those who employees contact. However, we propose that leaders who prioritize their followers’ needs above their own, also known as servant leaders, may be a critical preventative mechanism to reduce group-level incivility through promoting a virtuous climate. Applying social learning theory and (...) social information processing theory, we argue that servant leaders role model virtuous character that contributes to a virtuous climate that influences group members to reduce incivility and, in turn, treat others well. We utilize the healthcare setting to support this hypothesized process across multi-source measures of incivility from coworkers and team supervisors and three indicators of quality of patient care. Specific findings and implications for managers in healthcare settings and beyond are discussed. (shrink)

In this book, leading Christian political thinkers and practitioners critique the Rawlsian concepts of “justice as fairness” and “public reason” from the perspective of Christian political theory and practice. It provides a new level of analysis from Christian perspectives, including implications for such hot topics as the culture war.

In 1989 Smart problematised law as a masculinist knowledge which disqualified other forms of knowledge, particularly feminism. Twenty-one years later Smart characterises the relationship between law and feminism quite differently. In this account law responds to feminism and outcomes are progressive. Smart suggests that rather than continuing to focus on law’s disciplinary and normalising role, it is more productive to conceptualise contemporary family law as a creative kinning practice. We argue, however, that we must also bring into this account the (...) changes to the state brought about by neo-liberalism. The paper tests these observations about the trajectories of feminism, law and neo-liberalism by reflecting upon our study of the Albert Kennedy Trust (AKT). AKT was established in 1989, in the wake of gay and lesbian resistance to Clause 28, to provide homes with gay and lesbian adults for homeless gay and lesbian teenagers. We are interested in AKT’s shift in its description of the adults’ relationship with the teenagers in their care from ‘brothers and sisters’ to ‘carers’ as it moved from a marginal force to mainstream partner/provider. In this context we explore the complexity of law’s responsiveness to feminism’s dynamism, its contingent recognition of kinning practices and, in the light of neo-liberalism, its continuing disciplinary role. (shrink)

Can we dispense with mimesis in representation? Content Type Journal Article Category Essay Review Pages 1-6 DOI 10.1007/s11016-011-9529-1 Authors José A. Díez, Department of Logic, History and Philosophy of Science/LOGOS Research Group, University of Barcelona, C/Montalegre, 6-8, 08001 Barcelona, Spain Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

ABSTRACT This essay argues that a new way of understanding science and nature emerged and flourished in the human sciences in America between roughly 1920 and 1970. This new outlook was characterized by the prefiguration of all subjects of study as systems defined by their structures, not their components. Further, the essay argues that the rise of this new outlook was closely linked to the Organizational Revolution in American society, which provided new sets of problems, new patrons, and new control (...) technologies as “tools to think with” for researchers in this period. As examples of this new way of thinking and of the multidirectional traffic connecting control technologies, the Organizational Revolution, and the social sciences, the essay looks at Chester Barnard and his book The Functions of the Executive, at Warren Weaver and his essays on communication theory and on science and “organized complexity,” and at the works of J. C. R. Licklider and Robert Taylor on human/computer symbiosis through computer-based communications. (shrink)

Recent studies of the evolution of religion have revealed the cognitive underpinnings of belief in supernatural agents, the role of ritual in promoting cooperation, and the contribution of morally punishing high gods to the growth and stabilization of human society. The universality of religion across human society points to a deep evolutionary past. However, specific traits of nascent religiosity, and the sequence in which they emerged, have remained unknown. Here we reconstruct the evolution of religious beliefs and behaviors in early (...) modern humans using a global sample of hunter-gatherers and seven traits describing hunter-gatherer religiosity: animism, belief in an afterlife, shamanism, ancestor worship, high gods, and worship of ancestors or high gods who are active in human affairs. We reconstruct ancestral character states using a time-calibrated supertree based on published phylogenetic trees and linguistic classification and then test for correlated evolution between the characters and for the direction of cultural change. Results indicate that the oldest trait of religion, present in the most recent common ancestor of present-day hunter-gatherers, was animism, in agreement with long-standing beliefs about the fundamental role of this trait. Belief in an afterlife emerged, followed by shamanism and ancestor worship. Ancestor spirits or high gods who are active in human affairs were absent in early humans, suggesting a deep history for the egalitarian nature of hunter-gatherer societies. There is a significant positive relationship between most characters investigated, but the trait “high gods” stands apart, suggesting that belief in a single creator deity can emerge in a society regardless of other aspects of its religion. (shrink)

These notes are the result of some work done a year or two ago on the Medicean MS. of Aeneas Tacticus1 in preparation for an edition of that unduly neglected author which I hope will soon see the light. I should not have thought it worth while to publish them separately were it not for two papers, at once laborious and brilliant, read by Mr. A. C. Clark to the Oxford Philological Society on the text of Cicero′s speeches, in May, (...) 1912, and February, 1913. The extreme plausibility with which the reader then explained numberless corruptions, transpositions, etc., in the text of Cicero, by reconstructing the length of line and pagination of the MSS. in their several degrees of descent, led me to think that it might be of some interest to publish the results at which I arrived by working on the same lines with a Greek author. In my case the problem has been a far simpler one, as I only had one MS. to deal with; but as I came to my own conclusions quite independently, before I knew that the method was being applied elsewhere, I give them for what they are worth, only too glad to find myself in such good company. (shrink)

This study throws new light on the composition of Boyle's Free Enquiry into the Vulgarly Receiv'd Notion of Nature ; it also draws more general conclusions about Boyle's methods as an author and his links with his context. Its basis is a careful study of the extant manuscript drafts for the work, and their relationship with the published editions. Section 2 describes Boyle's characteristic method of composition from the late 1650s onwards, involving the dictation of discrete sections of text to (...) amanuenses; it also assesses the effect this had on the structure and presentation of Boyle's writings. Section 3 considers the published text section by section and indicates which parts were written when; it also surveys unpublished draft material relating to the work. Section 4 places the work in context, considering the intellectual threats that Boyle sought to confront in it, both when he initially composed it in the 1660s and when he rewrote it c. 1680. It thus anchors him more precisely than hitherto in the intellectual debates of his day. (shrink)

The influence of Aśvaghoṣa on the later tradition of kāvya was largely passed over in the South Asian tradition, even though the debt to his influence is clear in processional scenes developed by Kālidāsa and the attempted seduction of Arjuna developed by Bhāravi in his Kirātārjunīyam. We know from the testimony of the Chinese pilgrim Yijing that the Buddhacarita was a revered object of study in the Sumatran capital Śrībhoga near the close of the seventh century CE. It thus perhaps (...) comes as no surprise that three tropes or themes developed by Aśvaghoṣa were developed by several important composers of kakawin, the Old Javanese literary genre comparable to the kāvya of South Asia. This paper looks at the development of the themes of processions, divine battles and attempted seductions in a long history beginning with Aśvaghoṣa and closing with the work of the Javanese author Mpu Tantular, who completed the Buddhist kakawin Sutasoma c. 1365–1389 CE. This paper is partly based on a revised perspective on the history of the Shailendra and Sañjaya dynasties of central Java developed by examining the role of the “Shailendra royal preceptors” in bringing Sanskrit learning to Central Java in the period 778–847 CE. (shrink)

In this paper; having somewhat arbitrarily adopted a general line of interpretation of Wittgenstein on forms of life in which the word ’life' is taken in a biological sense, I try to work out ways of being more specific than that, which (a) are philosophically interesting, (b) are consistent with Wittgenstein's uses of the expression form of life' and with other remarks of his that seem closely connected, and (c) that take seriously both his disavowal of THESES in philosophy and (...) his (related) belief that the job of philosophy is not to devise better theories, but to show how the problem itself arises from a particular kind of misunderstanding of language. A number of ways in which the idea of a form of life could play that sort of part are explored, for example the question how we know from which direction a sound comes, which we might initially have supposed to be answerable by reference to a calculation of the time difference in the arrival of a sound wave at one ear and then the other is rejected in favour of a supposition that the waves affect the nervous system and thereby causes us to look in the correct direction. This is an important difference. A neurologist might spend half a lifetime tracking down the nerves that calculate the direction, ana fail because no such calculation is done. Misdirected questions about identifying and locating pains, and about mastery are investigated, and finally Wittgenstein is depicted as holding that the nervous system, together with membership in a community provides all the assurance we need of the general correctness of calculations. (shrink)

In their thoughtful article, Malm and Navin (2020) raise concerns about a potentially unjust generational welfare tradeoff between children and adults when it comes to chicken pox. We share their c...

This is the best general book on philosophy for university students: not just an introduction, but a guide which will serve them throughout their studies. It comprises specially commissioned explanatory surveys of the main areas of philosophy, written by thirteen leading philosophers.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Salmanticenses, On the Motive of the Incarnation by Dylan SchraderJustus HunterThe Salmanticenses, On the Motive of the Incarnation, trans. Dylan Schrader. Early Modern Catholic Sources 1. Washington, D.C.: The Catholic University of America Press, 2019. Pp. xlix + 203. $65.00. ISBN: 978-0-813-23179-2. This is the first volume in the much-anticipated Early Modern Catholic Sources Series edited by Ulrich Lehner and Trent Pomplun. Fr. Dylan Schrader has done (...) an admirable job, in quality of translation and notes, as well as in offering a concise yet robust historical introduction to the argument of the text. This is a seminal text on a topic of perennial interest, from a period of time too often neglected in contemporary theological discourse in general, and on the motive for the incarnation in particular. The translation spans the four dubia of the second disputatio (de motivo incarnationis) of tractatus 21 (de incarnatione) of the famous Cursus theologicus of the Discalced Carmelites of the College of San Elias at the University of Salamanca (the Salmanticenses). The Cursus itself occupied the Salmanticenses for nearly a century; the first volume was published in 1631, and the final in 1712. Tractatus 21 was produced by Juan de la Anunciación and published in 1687. It was reprinted in an editio nova, correcta in 1878, though Schrader tells us there are no substantial differences between the original and the new editions with respect to tract. 21, d. 2 (xiii).Schrader's translation is preceded by a 40-page introduction, including a brief synopsis of the historical origins of the text, an overview of the history of debates over the motive for the incarnation from its origins in Anselm's Cur Deus homo? down to the present, and notes on the translation. The extended history of debates is especially notable. Schrader covers the standard terrain accurately and efficiently (perhaps too efficiently with respect to the Summa Halensis), leading up to the seminal figures of Thomas Aquinas and John Duns Scotus. Most valuable, however, is Schrader's narration of the subsequent history of the debates over the motive for the incarnation. [End Page 241]Schrader's introduction is a welcome alternative to Juniper Carol's Why Jesus Christ? (Trinity Communications, 1987). Carol's study is a remarkably comprehensive analysis of the entire history of debates over the motive for the incarnation. While Carol is unparalleled in his analysis of the issues at stake, key conceptual developments, and the sheer volume of texts considered, his analysis tends to be shaped by his constructive arguments for the Scotist position, and the book struggles at times with the task of sorting hundreds of figures into Carol's typology. Schrader, in his even-handedness and concision, has produced a superb primer on the history of the same debates. It is a much crisper, briefer, and descriptive account of major moments in the debates over the reason for the incarnation between the High Middle Ages and the twentieth century, the standard periods treated by contemporary theologians. He shows the important contributions of familiar figures like Cajetan, Molina, and Suarez, but also the significance of lesser known (usually Franciscan) theologians like Juan de Rada and Francesco Lychetus. The introduction is both a helpful historical background for the translation that follows, in which the Salmanticenses develop several important "mitigated" Thomistic themes (e.g. Capreolus's distinction between the finis cuius gratia and the finis cui), as well as an instructive historical overview of the history of the question itself. Schrader extends beyond the Salmanticenses into the present, showing both important subsequent developments of the Salmanticenses arguments in figures like Billuart and Gotti, as well as transitions in emphasis and approach with figures like Scheeben and Barth. The result is a clear sense that there are many arguments awaiting recovery and reconsideration, and Schrader offers helpful direction to those who would pursue them. He has already pursued some of them, especially in conversation with modern theologians Karl Rahner and Hans Urs von Balthasar, in his constructive A Thomistic Christocentrism: Recovering the Carmelites of Salamanca on the Logic of the Incarnation (The Catholic University of America Press, 2021). Regarding the translation itself... (shrink)

Non-epistemic values play important roles in classificatory practice, such that philosophical accounts of kinds and classification should be able to accommodate them. Available accounts fail to do so, however. Our aim is to fill this lacuna by showing how non-epistemic values feature in scientific classification, and how they can be incorporated into a philosophical theory of classification and kinds. To achieve this, we present a novel account of kinds and classification, discuss examples from biological classification where non-epistemic values play decisive (...) roles, and show how this account accommodates the role of non-epistemic values. (shrink)

Natural kinds are often contrasted with other kinds of scientific kinds, especially functional kinds, because of a presumed categorical difference in explanatory value: supposedly, natural kinds can ground explanations, while other kinds of kinds cannot. I argue against this view of natural kinds by examining a particular type of explanation—mechanistic explanation—and showing that functional kinds do the same work there as traditionally recognized natural kinds are supposed to do in “standard” scientific explanations. Breaking down this categorical distinction between traditional natural (...) kinds and other kinds of kinds, I argue, delivers two goods: It provides us with a view of natural kindhood that does justice to the epistemic roles of kinds in scientific explanations. And it allows us to solve a problem that HPC theory, currently one of the more popular accounts of natural kindhood, confronts. (shrink)

The book edited by Roman Frigg and Matthew C. Hunter is a great example of interdisciplinary collaborative work, bringing together contributions by scholars of science and of art, around the topic of representation. The collection consists of eleven essays, seven of which were presented in early form at a conference organized by the two editors at the London School of Economics and the Courtauld Institute of Art in June 2006; the other four have been added subsequently. The result is (...) a high-standard, remarkably edited book. (shrink)

List of contributors; Acknowledgments; Introduction Robert S. Westman and David C. Lindberg; 1. Conceptions of the scientific revolution from Bacon to Butterfield: a preliminary sketch David C. Lindberg; 2. Conceptions of science in the scientific revolution Ernan McMullin; 3. Metaphysics and the new science Gary Hatfield; 4. Proof, portics, and patronage: Copernicus’s preface to De revolutionibus Robert S. Westman; 5. A reappraisal of the role of the universities in the scientific revolution John Gascoigne; 6. Natural magic, hermetism, and occultism in (...) early modern science Brian P. Copenhaver; 7. Natural history and the emblematic world view William B. Ashworth, Jr.; 8. From the secrets of nature to public knowledge William Eamon; 9. Chemistry in the scientific revolution: problems of language and communication Jan V. Golinski; 10. The new philosophy and medicine in seventeenth-century England Harold J. Cook; 11. Science and heterodoxy: an early modern problem reconsidered Michael Hunter; 12. Infinitesimals and transcendent relations: the mathematics of motion in the late seventeenth century Michael S. Mahoney; 13. The case of mechanics: one revolution or many? Alan Gabbey; Index. (shrink)