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When Isaac Newton died in 1727 without a will, he left behind a wealth of papers that, when examined, gave his followers and his family a deep sense of unease. Some of what they contained was wildly heretical and alchemically obsessed, hinting at a Newton altogether stranger and less palatable than the one enshrined in Westminster Abbey as the paragon of English rationality. These manuscripts had the potential to undermine not merely Newton's reputation, but that of the scientific method he embodied. They were immediately suppressed as "unfit to be printed," and, aside from brief, troubling glimpses spread across centuries, the papers would remain hidden from sight for more than seven generations. In The Newton Papers, Sarah Dry illuminates the tangled history of these private writings over the course of nearly three hundred years, from the long span of Newton's own life into the present day. The writings, on subjects ranging from secret alchemical formulas to impassioned rejections of the Holy Trinity, would eventually come to light as they moved through the hands of relatives, collectors, and scholars. The story of their disappearance, dispersal, and rediscovery is populated by a diverse cast of characters who pursued and possessed the papers, from economist John Maynard Keynes to controversial Jewish Biblical scholar Abraham Yahuda. Dry's captivating narrative moves between these varied personalities, depicting how, as they chased the image of Newton through the thickets of his various obsessions, these men became obsessed themselves with the allure of defining the "true" Newton. Dry skillfully accounts for the ways with which Newton's pursuers have approached his papers over centuries. Ultimately, The Newton Papers shows how Newton has been made and re-made throughout history by those seeking to reconcile the cosmic contradictions of an extraordinarily complex man.
Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon B.Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.
Sir Isaac Newton’s publications, and those he inspired, were among the most significant works published during the long eighteenth century in Britain. Concepts such as attraction and extrapolation—detailed in his landmark monograph Philosophiae Naturalis Principia Mathematica—found their way into both scientific and cultural discourse. Understanding the trajectory of Newton’s diverse critical and popular reception in print demands consideration of how his ideas were disseminated in a marketplace comprised of readers with varying levels of interest and expertise. Reading Popular Newtonianism focuses on the reception of Newton's works in a context framed by authorship, print, editorial practices, and reading. Informed by sustained archival work and multiple critical approaches, Laura Miller asserts that print facilitated the mainstreaming of Newton's ideas. In addition to his reading habits and his manipulation of print conventions in the Principia, Miller analyzes the implied readership of various "popularizations" as well as readers traced through the New York Society Library's borrowing records. Many of the works considered—including encyclopedias, poems, and a work written "for the ladies"—are not scientifically innovative but are essential to eighteenth-century readers’ engagement with Newtonian ideas. Revising the timeline in which Newton’s scientific ideas entered eighteenth-century culture, Reading Popular Newtonianism is the first book to interrogate at length the importance of print to his consequential career.
A collection of twenty original essays on the history of science and mathematics. The topics covered embrace the main themes of Whiteside's scholarly work, emphasising Newtonian topics: mathematics and astronomy to Newton; Newton's manuscripts; Newton's Principia; Newton and eighteenth-century mathematics and physics; after Newton: optics and dynamics. The focus of these themes gives the volume considerable coherence. This volume of essays makes available important original work on Newton and the history of the exact sciences. This volume has been published in honour of D. T. Whiteside, famous for his edition of The Mathematical Papers of Isaac Newton.
Historical research in previous decades has done a great deal to explore the social and political context of early modern natural and moral inquiries. Particularly since the publication of Steven Shapin and Simon Schaffer’s Leviathan and the Air-Pump (1985) several studies have attributed epistemological stances and debates to clashes of political and theological ideologies. The present volume suggests that with an awareness of this context, it is now worth turning back to questions of the epistemic content itself. The contributors to the present collection were invited to explore how certain non-epistemic values had been turned into epistemic ones, how they had an effect on epistemic content, and eventually how they became ideologies of knowledge playing various roles in inquiry and application throughout early modern Europe.
An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.
What might be described as a Pentecostal worldview has become a powerful cultural phenomenon, but it is often at odds with modernity and globalization. Science and the Spirit confronts questions of spirituality in the face of contemporary science. The essays in this volume illustrate how Pentecostalism can usefully engage with technology and scientific discovery and consider what might be distinctive about a Pentecostal dialogue with the sciences. The authors conclude that Pentecostals, with their unique perspectives on spirituality, can contribute new insights for a productive interaction between theology and science.
This volume sign posts several paths of multimodality research and theory-building today. The chapters represent a cross-section of current perspectives on multimodal discourse with a special focus on theoretical and methodological issues (mode hierarchies, modelling semiotic resources as multiple semiotic systems, multimodal corpus annotation). In addition, it discusses a wide range of applications for multimodal description in fields like mathematics, entertainment, education, museum design, medicine and translation.
In recent years philosophers of science have urged that many scientific theories are extremely useful and successful despite being internally inconsistent. Via an investigation of eight alleged 'inconsistent theories' in the history of science, Peter Vickers urges that this view is at best overly simplistic. Most of these cases can only be described as examples of 'inconsistent science' if we employ reconstructions of science which depart from the real (history of) science to an unacceptable degree. And where we do find genuine inconsistency he argues that the nature of—and correct response to—the inconsistency differs dramatically depending on the details of the science in question. Thus we are warned against making overly general claims about 'science': what are all called 'theories' in the history of science are actually significantly different entities, which work in different ways and react to inconsistency in different ways. Vickers argues that the traditional goal of philosophy to make substantial, fully general claims about 'how science works' is misguided, and can be significantly circumvented if we re-frame our debates such that reference to 'theories' is eliminated. In this way one is not tempted to think of the history of science as a history of instances of the same kind—theory—about which one could hope to say something substantial and general. And in addition eliminating theory means that we avoid fruitless debates about the 'real' nature and content of 'theories'. Vickers' account leads to a particularist philosophy of science, where the reader is urged to appreciate the often dramatic differences between the different 'inconsistencies in science' which have been identified.