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"Around the turn of the eighteenth century, one of the most pressing practical scientific problems was accurate prediction of the moon's position. Although Isaac Newton had hoped to solve this problem using the dynamic approach developed in Principia in 1687, he never succeeded in doing so. Instead, he reverted to an old-fashioned kinematic theory, using epicyclic motion. A terse summary of the theory was published in 1702 by David Gregory as part of his Astronomiae elementa. The present work includes Newton's full text with annotations explaining terms and relating the text to Kollerstrom's analysis. In this detailed study, Kollerstrom solves the enigma of Newton's "forgotten" lunar theory. He ascertains, for the first time ever, just what Newton's theory did and did not achieve."--Amazon.
An account of European knowledge of the natural world, c.1500-1700.
In this monograph, Steffen Ducheyne provides a historically detailed and systematically rich explication of Newton’s methodology. Throughout the pages of this book, it will be shown that Newton developed a complex natural-philosophical methodology which encompasses procedures to minimize inductive risk during the process of theory formation and which, thereby, surpasses a standard hypothetico-deductive methodological setting. Accordingly, it will be highlighted that the so-called ‘Newtonian Revolution’ was not restricted to the empirical and theoretical dimensions of science, but applied equally to the methodological dimension of science. Furthermore, it will be documented that Newton’s methodology was far from static and that it developed alongside with his scientific work. Attention will be paid not only to the successes of Newton’s innovative methodology, but equally to its tensions and limitations. Based on a thorough study of Newton’s extant manuscripts, this monograph will address and contextualize, inter alia, Newton’s causal realism, his views on action at a distance and space and time, the status of efficient causation in the /Principia/, the different phases of his methodology, his treatment of force and the constituents of the physico-mathematical models in the context of Book I of the /Principia/, the analytic part of the argument for universal gravitation, the meaning and significance of his regulae philosophandi, the methodological differences between his mechanical and optical work, and, finally, the interplay between Newton’s theology and his natural philosophy.
An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.
This book explores the development of navigation in the eighteenth and nineteenth centuries. It examines the role of men of science, seamen and practitioners across Europe, and the realities of navigational practice, showing that old and new methods were complementary not exclusive, their use dependent on many competing factors.
Mathematics is, in many ways, the most generic and abstract of all systems of human thought. Once Newton found he could describe dynamics and planetary motions using purely mathematical laws and deductive processes, he understood that there was no limit to what else could be explained — given time and ingenuity every aspect of Nature would find its mathematical roots. Newton himself repeatedly stated how aspects of chemistry, biology and even human thought could be accessed by his method. He also acknowledged how immense the task would be, involving many contributors over many centuries, however once the system was in place, it could be extended indefinitely. Although not fully understood during his lifetime, the Newtonian method has since been applied to many subjects outside of physics, including chemistry, physiology and philosophy. This book analyses the Newtonian method and demonstrates how it represents the very roots of our understanding of the great world system we live in today.
This book builds on the path-breaking work of George E. Smith and further explores the notions of evidence and confirmation in the exact sciences from two perspectives: conceptual and historical. Contributions in this volume investigate the philosophical presuppositions, explanatory scope, and historical precursors of evidence in mathematical physics and related disciplines. The papers are written by and of interest to philosophers and historians of science.
In the 18th century, purely scientific interests as well as the practical necessities of navigation motivated the development of new theories and techniques to accurately describe celestial and lunar motion. "Between Theory and Observations" presents a detailed and accurate account, not to be found elsewhere in the literature, of Tobias Mayer's important contributions to the study of lunar motion—including the creation of his famous set of lunar tables, which were the most accurate of their time.
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.