Historians have long sought putative connections between different areas of Newton’s scientific work, while recently scholars have argued that there were causal links between even more disparate fields of his intellectual activity. In this paper I take an opposite approach, and attempt to account for certain tensions in Newton’s ‘scientific’ work by examining his great sensitivity to the disciplinary divisions that both conditioned and facilitated his early investigations in science and mathematics. These momentous undertakings, exemplified by research that he wrote (...) up in two separate notebooks, obey strict distinctions between approaches appropriate to both new and old ‘natural philosophy’ and those appropriate to the mixed mathematical sciences. He retained a fairly rigid demarcation between them until the early eighteenth century. At the same time as Newton presented the ‘mathematical principles’ of natural philosophy in his magnum opus of 1687, he remained equally committed to a separate and more private world or ontology that he publicly denigrated as hypothetical or conjectural. This is to say nothing of the worlds implicit in his work on mathematics and alchemy. He did not lurch from one overarching ontological commitment to the next but instead simultaneously—and often radically—developed generically distinct concepts and ontologies that were appropriate to specific settings and locations as well as to relevant styles of argument. Accordingly I argue that the concepts used by Newton throughout his career were intimately bound up with these appropriate generic or quasi-disciplinary ‘structures’. His later efforts to bring together active principles, aethers and voids in various works were not failures that resulted from his ‘confusion’ but were bold attempts to meld together concepts or ontologies that belonged to distinct enquiries. His analysis could not be ‘coherent’ because the structures in which they appeared were fundamentally incompatible.Author Keywords: Connectionism; Incoherence; Appropriateness; Setting; Discipline; Genre; Structure. (shrink)

In the 1720s the antiquary and Newtonian scholar Dr. William Stukeley described his friend Isaac Newton as ‘the Great Restorer of True Philosophy’. Newton himself in his posthumously published Observations upon the prophecies of Daniel, and the Apocalypse of St. John predicted that the imminent fulfilment of Scripture prophecy would see ‘a recovery and re-establishment of the long-lost truth’. In this paper I examine the background to Newton’s interest in ancient philosophy and theology, and how it related to modern natural (...) philosophical discovery. I look at the way in which the idea of a ‘long-lost truth’ interested others within Newton’s immediate circle, and in particular how it was carried forward by Stukeley’s researches into ancient British antiquities. I show how an interest in and respect for ancient philosophical knowledge remained strong within the first half of the eighteenth century.Author Keywords: Isaac Newton; William Stukeley; Ancient theology; Antiquarianism; Arianism; Stonehenge; Avebury. (shrink)

John Theophilus Desaguliers’s allegorical poem The Newtonian system of the world, the best model of government crystallizes the contribution of several important French Protestant exiles to the construction of early Newtonianism. In the context of diverging interpretations of Newton’s scientific achievement in terms of natural religion, writers such as Des Maizeaux, Coste, Le Clerc and others actively disseminated a version of Newtonianism which was close to Newton’s own intention. Through public experiments, translations, correspondence, reviews and books, they managed to convey (...) a vision of Newtonian science which coincided with their propaganda of English liberties in Church and State. Therefore their effort on behalf of Newtonianism can be interpreted as part of a wider strategy of assimilation into English society at a time when most exiled Huguenots had given up hope of ever recreating a French Reformed Church at home.Author Keywords: Isaac Newton; John Theophilus Desaguliers; Pierre Coste; Pierre Des Maizeaux; Abraham de Moivre; Huguenots; Physico-theology; Translation; Vulgarization; Enlightenment. (shrink)

The acceptance of Newton’s ideas and Newtonianism in the early German Enlightenment is usually described as hesitant and slow. Two reasons help to explain this phenomenon. One is that those who might have adopted Newtonian arguments were critics of Wolffianism. These critics, however, drew on indigenous currents of thought, pre-dating the reception of Newton in Germany and independent of Newtonian science. The other reason is that the controversies between Wolffians and their critics focused on metaphysics. Newton’s reputation, however, was that (...) of a mathematician, and one point, on which Wolffians and their opponents agreed, was that mathematics was of no use in the solution of metaphysical questions. The appeal to Newton as an authority in metaphysics, it was argued, was the fault of Newton’s over-zealous disciples in Britain, who tried to transform him from a mathematician into the author of a general philosophical system. It is often argued that the Berlin Academy after 1743 included a Newtonian group, but even there the reception of Newtonianism was selective. Philosophers such as Leonhard Euler were also reluctant to be labelled ‘Newtonians’, because this implied a dogmatic belief in Newton’s ideas. Only after the mid-eighteenth century is ‘Newtonianism’ increasingly accepted in the sense of a philosophical system.Author Keywords: Natural philosophy; Mathematics; Metaphysics; Isaac Newton; Newtonianism; German Enlightenment. (shrink)

To commemorate the 50th anniversary of his passing, this special book features studies on Alexandre Koyré, one of the most influential historians of science of the 20th century, who re-evaluated prevalent thinking on the history and philosophy of science. In particular, it explores Koyré’s intellectual matrix and heritage within interdisciplinary fields of historical, epistemological and philosophical scientific thought. Koyré is rightly noted as both a versatile historian on the birth and development of modern science and for his interest in philosophical (...) questions on the nature of scientific knowledge. In the 1940s and 1950s his activities in the United States established a crucial bridge between the European historical tradition of science studies and the American academic environments, and an entire generation of historians of science grew up under his direct influence. The book brings together contributions from leading experts in the field, and offers much-needed insights into the subject from historical, nature of science, and philosophical perspectives. It provides an absorbing and revealing read for historians, philosophers and scientists alike. (shrink)

The career of John Jackson , Arian theologian and controversialist, provides a key to unlocking the early reception and quick collapse of a Newtonian natural apologetic originally developed by Samuel Clarke. The importance of friendship and discipleship in eighteenth-century intellectual enquiry is emphasised, and the links between Newton and his followers are traced alongside those of a group of Cambridge Lockeans, led by Jackson’s direct contemporary Daniel Waterland, who proved instrumental in the initial dismantling of Clarke’s brand of Newtonian apologetic. (...) The controversial context of this engagement is shown to have been largely provided by the religiously compromising rise of freethinking, and Tindal’s Christianity as old as the creation signalled the dangers to proponents of natural religion as an adjunct of Christian apologetic in such a heated atmosphere. Religious division of the sort that resulted paradoxically played into the hands of the freethinkers in the anticlerical atmosphere of the 1730s, and accusations were exchanged between Newtonians and Lockeans accordingly. The dynamic of England’s Enlightenment experience is, then, a complicated one, and, as the career and writings of Jackson and William Whiston demonstrate, it was one which absorbed as well as repudiated ‘enthusiasm’.Author Keywords: Newtonianism; Enlightenment; Enthusiasm; Natural religion; Arianism; John Jackson. (shrink)

In January and February 1720 John Theophilus Desaguliers, a fellow of the Royal Society and a popular lecturer and experimenter, engaged in a public argument with two booksellers, William Mears and John Woodward. Each side offered for sale a translation of Willem Jacob ’sGravesande’s Physices elementa mathematica, experimentis confirmata, an introduction to Isaac Newton’s natural philosophy. The adversaries challenged each other in letters placed within advertisements for their respective translations that appeared in the Post Boy. While historians of science have (...) long noted the existence of the two translations, the events following their publication have not been explored fully. Setting Desaguliers as the focal point allows the complexities buried beneath the surface of this affair to be revealed. Desaguliers’s behavior resulted from his past experiences with the book trade, the competition among public lecturers in London, his financial situation, and concerns about the preservation of his reputation. This episode demonstrates the necessity of finding a prominent role for newspaper advertisements in the study of public science and in histories of the book. (shrink)

In the early eighteenth century Newtonianism became popular in the Netherlands both in academic and non-academic circles. The ‘Book of Nature’ was interpreted with the help of Newton’s natural philosophy and his ideas about a providential deity, thereby greatly enhancing the attractiveness of physico-theology in the eighteenth-century United Provinces. Like other Europeans the Dutch welcomed physico-theology as a strategic means in their battle against irreligion and atheism. Bernard Nieuwentijt, Johan Lulofs, Petrus Camper, and Johannes Florentius Martinet were prominent experts in (...) the field. Combining Newtonian notions with Leibnizian optimism and romanticist trends, physico-theology remained popular in the Netherlands well into the nineteenth century.Author Keywords: Apologetics; Dutch Enlightenment; Physico-theology; Prophetic theology; Argument from design; Empiricism. (shrink)

The ArgumentThe article studies a small Hebrew book called “The Wars of God” composed by an Anglo-Jewish jeweler who lived in London at the end of the eighteenth century. The book is interesting in further documenting the Jewish response to Newtonianism, that amalgam of scientific, political, and religious ideas that pervaded the culture of England and the Continent throughout the century. Hart, while presenting Newton in a favorable light, departs from other Jewish Newtonians in voicing certain reservations about Newton's alleged (...) religious orthodoxy, specifically his fear that the force of gravitation might be explained independent of God's divine providence. The key to understanding Hart's unique stance is his reliance on two eighteenth-century Christian theologians: William Whiston and Robert Greene, particularly the latter. In staking out this position, Hart also endorsed the theological position of his more well known Jewish colleague David Levi, the publisher of his Hebrew text. Both men reveal together the capacity of Jewish thinkers to absorb the dominant trends of thinking by the majority culture while defending honestly and defiantly the integrity of their religious faith and community. (shrink)

After the birth of thermodynamics’ second principle—outlined in Carnot's Réflexions sur la puissance motrice du feu —several studies provided new arguments in the field. Mainly, they concerned the thermodynamics’ first principle—including energy conceptualisation—, the analytical aspects of the heat propagation, the statistical aspects of the mechanical theory of heat. In other words, the second half of nineteenth century was marked by an intense interdisciplinary research activity between physics and chemistry: new disciplines applied to the heat developed in the form of (...) analytical, mechanical and statistical theories. Inside all these theories, entropy—the brand-new function that Clausius coined in his Mechanical theory of heat—started to play a central epistemic role. In the present paper, we analyse some steps of the historical process of conceptualisation of such function from 1850 to 1902. Particularly, we retrace the historical–foundational path that—starting from Clausius’ Second Law—lead Boltzmann and Gibbs to their distinguished formulations of statistical entropy. As usual, our research has been unrolled through the analyses of primary sources and by leaning on critical readings of the secondary literature. As for the methodological approach, text analysis of historical documents constituted our privileged modus operandi. This paper is the expression of a collaborative historical research program focused on the thermodynamic foundations of physics–chemistry relationship; early results have already been published by the same authors upon the concepts of reversibility––and––thermal equilibrium. (shrink)

Forums, I extensively analysed Tartaglia’s corpus: science of weights, geometry, arithmetic, mathematics and physics–trajectories of the projectiles, fortifications, included its intelligibility science in the military architecture. The latter is exposed in Book VI of the Quesiti et invention diverse (hereafter Quesiti). In Quesiti there is La Gionta del sesto libro—a kind of appendix to the Book VI containing drawings of the geometric shape of the Italian fortifications. It is based on Euclidean geometry and other figures where a scale is displayed. (...) The interest—included intellectual history and cultural foundations of science—is: what is the role–played by La Gionta del sesto libro in the Quesiti? Is it independent booklet/speeches? If yes, when Tartaglia did write it? In this paper, I present an historical–philological–foundational hypothesis on the Tartaglia’s fortifications corpus, as exposed in the Book VI and La Gionta del sesto libro; with respect to dates of editions of Quesiti (1546, 1554). This goal is important to make historically clear both the editorial role–played by Curzio Troiano Navò (fl. 16th) in the Tartaglia’s corpus before—after Tartaglia’s death (1557) and the particular interest and development of subject of fortifications by Tartaglia between 1537–1546 and 1554. (shrink)

Forums, I extensively analysed Tartaglia’s corpus: science of weights, geometry, arithmetic, mathematics and physics–trajectories of the projectiles, fortifications, included its intelligibility science in the military architecture. The latter is exposed in Book VI of the Quesiti et invention diverse. In Quesiti there is La Gionta del sesto libro—a kind of appendix to the Book VI containing drawings of the geometric shape of the Italian fortifications. It is based on Euclidean geometry and other figures where a scale is displayed. The interest—included (...) intellectual history and cultural foundations of science—is: what is the role–played by La Gionta del sesto libro in the Quesiti? Is it independent booklet/speeches? If yes, when Tartaglia did write it? In this paper, I present an historical–philological–foundational hypothesis on the Tartaglia’s fortifications corpus, as exposed in the Book VI and La Gionta del sesto libro; with respect to dates of editions of Quesiti. This goal is important to make historically clear both the editorial role–played by Curzio Troiano Navò in the Tartaglia’s corpus before—after Tartaglia’s death and the particular interest and development of subject of fortifications by Tartaglia between 1537–1546 and 1554. (shrink)

Forums, I extensively analysed Tartaglia’s corpus: science of weights, geometry, arithmetic, mathematics and physics–trajectories of the projectiles, fortifications, included its intelligibility science in the military architecture. The latter is exposed in Book VI of the Quesiti et invention diverse. In Quesiti there is La Gionta del sesto libro—a kind of appendix to the Book VI containing drawings of the geometric shape of the Italian fortifications. It is based on Euclidean geometry and other figures where a scale is displayed. The interest—included (...) intellectual history and cultural foundations of science—is: what is the role–played by La Gionta del sesto libro in the Quesiti? Is it independent booklet/speeches? If yes, when Tartaglia did write it? In this paper, I present an historical–philological–foundational hypothesis on the Tartaglia’s fortifications corpus, as exposed in the Book VI and La Gionta del sesto libro; with respect to dates of editions of Quesiti. This goal is important to make historically clear both the editorial role–played by Curzio Troiano Navò in the Tartaglia’s corpus before—after Tartaglia’s death and the particular interest and development of subject of fortifications by Tartaglia between 1537–1546 and 1554. (shrink)

Francesco Algarotti's Newtonianism for Ladies , a series of lively dialogues on optics, was a landmark in the popularization of Newtonian philosophy. In this essay I shall explore Algarotti's sociocultural world, his aims and ambitions, and the meaning he attached to his own work. In particular I shall focus on Algarotti's self-promotional strategies, his deployment of gendered images and his use of popular philosophy within the broader cultural and experimental campaign for the success of Newtonianism. Finally, I shall suggest a (...) radical reading of the dialogues, reconstructing the process that brought them to their religious condemnation. What did Newtonianism mean to Algarotti? In opposition to mainstream apologetic interpretations, he seems to have framed the new experimental methodology in a sensationalistic epistemology derived mainly from Locke, pointing at a series of subversive religious and political implications. Due to the intervention of religious authorities Algarotti's radical Newtonianism became gradually less visible in subsequent editions and translations. It is only through the study of the first – clandestine – edition of the dialogues that one can begin reconstructing the meaning of Algarotti's experiments and his cultural battle for a regenerated Europe. (shrink)

This paper discusses the contribution of Madame Du Châtelet to the reception of Newtonianism in France prior to her translation of Newton’s Principia. It focuses on her Institutions de physique, a work normally considered for its contribution to the reception of Leibniz in France. By comparing the different editions of the Institutions, I argue that her interest in Newton antedated her interest in Leibniz, and that she did not see Leibniz’s metaphysics as incompatible with Newtonian science. Her Newtonianism can be (...) seen to be in the course of development between 1738 and 1742 and it was shaped by contemporary French debates and the achievement of French Newtonians like Maupertuis in confirming his theories. Her Institutions therefore is linked to the same drive to disseminate Newtonianism undertaken by popularisations such as Voltaire’s Elements de la philosophie de Newton and Algarotti’s Newtonianismo per le dame.Author Keywords: Emilie du Châtelet; Isaac Newton; Voltaire; French reception of Newtonianism. (shrink)

Unlike all preceding theorists of cometary tail formation, Newton introduced a mechanism in which a comet's tail was produced by the convection of rarified ethereal particles which carried with them particles from the comet's upper atmosphere, which in turn became heated by reflecting of the sun's rays. The centrality of the action of the ether particles in this theory made it problematic, as a consistent theory of the ether was not then available. As a result, the theory was not wholly (...) accepted even by some of Newton's closest colleagues and disciples. This paper briefly presents Newton's theory of tail formation and examines its reception, primarily in England. I review seven accounts of cometary tail formation that were developed in a Newtonian framework and published between 1696 and 1757 by William Whiston, David Gregory, Henry Pemberton, Voltaire, Colin Maclaurin, J. T. Desaguliers, and Benjamin Martin. Newton's comet theory showed both philosophical and practical defects typical of his better known work, and I identify four major issues that early Newtonians disputed. These disagreements show that we still have much to learn about the way Newton's physics was studied in the 18th century. (shrink)

Newton, along with a number of other seventeenth-century scientists, is frequently charged with having held an inconsistent view of nature and its operations, believing on the one hand in immutable laws of nature, and on the other in divine interventions into the natural order. In this paper I argue that Newton, William Whiston, and Samuel Clarke, came to understand miracles, not as violations of laws of nature, but rather as beneficent coincidences which were remarkable either because they were unusual, or (...) were beyond current understandings of nature. In this manner the Newtonians managed to reconcile their scientific pursuits with their religious convictions. (shrink)

SummaryThis contribution examines the circumstances of composition of the annotated edition of Newton's Principia that was printed in Geneva in 1739–1742, which ran to several editions and was still in print in Britain in the mid-nineteenth century. This edition was the work of the Genevan Professor of Mathematics, Jean Louis Calandrini, and of two Minim friars based in Rome, Thomas Le Seur and François Jacquier. The study of the context in which this edition was conceived sheds light on the early (...) reception of Newtonianism in Geneva and Rome. By taking into consideration the careers of Calandrini, Le Seur and Jacquier, as authors, lecturers and leading characters of Genevan and Roman cultural life, I will show that their involvement in the enterprise of annotating Newton's Principia answered specific needs of Genevan and Roman culture. The publication and reception of the Genevan annotated edition has also a broader European dimension. Both Calandrini and Jacquier were in touch with the French république des lettres, most notably with Clairaut and Du Châtelet, and with the Bernoulli family in Basel. Therefore, this study is also relevant for the understanding of the dissemination of Newton's ideas in Europe. (shrink)

According to the received view, eighteenth-century British mathematicians were responsible for a decline of mathematics in the country of Newton; a decline attributed to chauvinism and a preference for geometrical thinking. This paper challenges this view by first describing the complexity of Newton's mathematical heritage and its reception in the early decades of the eighteenth century. A section devoted to Maclaurin's monumental Treatise of Fluxions describes its attempt to reach a synthesis of the different strands of Newton's mathematical legacy, and (...) compares it with contemporary Continental work. It is shown that in the middle of the eighteenth century academic Continental mathematicians such as Euler and Lagrange were driven by local cultural assumptions in directions which sensibly diverged from the ones followed by Maclaurin and his fellow countrymen. (shrink)

The ArgumentThe article explores the reasons for the rise to prominence of Newtonian natural theology in the period following the publication of thePrincipiain 1687, its continued importance throughout the eighteenth and first half of the nineteenth centuries, and possible explanations for its rapid decline in the second half of the nineteenth century. It argues that the career of Newtonian natural theology cannot be explained solely in terms of internal intellectual developments such as the theology of Newton's clerical admirers or the (...) impact of the work of Hume or of Charles Darwin. While such intellectual movements are undoubtedly of considerable importance in accounting for the rise and fall of Newtonian natural theology, they do not of themselves explain why British society was more receptive to particular bodies of thought in some periods rather than in others. Hence this article – in common with a number of recent studies – attempts to draw some connections between the growth of Newtonian natural theology and the character of Augustan society and politics; it also attempts to link the decline of this tradition with such nineteenth-century developments as the growing separation between church and state and the secularization of the universities and of scientific and intellectual life more generally. (shrink)

The industrial revolution and the scientific revolution of the sixteenth and seventeenth centuries were two of the most important events in the whole of human history and the question of how these two relate to each other must therefore form one of the most vital of all inquiries in the history of science. As the industrial revolution began in England- and largely provincial England- the question of how scientific knowledge came to be disseminated to these regions forms a crucial part (...) of such an enquiry. Using Derby as a case study, this paper examines how Newtonian philosophy came to be spread, how and why science became a cultural activity as part of the Habermasean public sphere, and how scientific theory related to early industrial and technologicalventures in an English provincial town. The richness of Derby's scientific culture is revealed by the careers of John Whitehurst FRS, John Arden, Thomas Simpson FRS, Benjamin Parker and George Sorocold and the importance of science in the curriculum of the local Dissenting academy. (shrink)

The purpose of this article is to point out that, contrary to popular belief, David Gregory did not lecture on the Newtonian philosophy when he was Professer of Mathematics at Edinburgh University. This belief has arisen because of a statement of Whiston's which attributes to David a paper written by his younger brother James. Nevertheless, some of David's Edinburgh students were acquainted with Newton's work, and I shall examine the extent to which this was so, and look at the other (...) sources which he used in his teaching. Finally, Gregory's attitudes are seen to be typical of those prevailing in the Scottish universities of his day. (shrink)

Like it or not, a big picture of the history of science is something which we cannot avoid. Big pictures are, of course, thoroughly out of fashion at the moment; those committed to specialist research find them simplistic and insufficiently complex and nuanced, while postmodernists regard them as simply impossible. But however specialist we may be in our research, however scornful of the immaturity of grand narratives, it is not so easy to escape from dependence – acknowledged or not – (...) on a big picture. When we define our research as part of the history of science, we implicitly invoke a big picture of that history to give identity and meaning to our specialism. When we teach the history of science, even if we do not present a big picture explicitly, our students already have a big picture of that history which they bring to our classes and into which they fit whatever we say, no matter how many complications and refinements and contradictions we put before them – unless we offer them an alternative big picture. (shrink)

A rather cheeky philosopher, I think it was Hamlet, Prince of Denmark, said that there were a lot of things in heaven and on earth that were not in our textbooks. If this simpleminded man, who as known was out of his mind, so sneered at our textbooks, then one might answer him, consoled: Good, but there are also a lot of things in our textbooks that are neither in heaven nor on earth.

In this paper, I propose the idea that the French mathematician Michel Chasles developed a foundational programme for geometry in the period 1827–1837. The basic concept behind the programme was to show that projective geometry is the foundation of the whole of geometry. In particular, the metric properties can be reduced to specific graphic properties. In the attempt to prove the validity of his conception, Chasles made fundamental contributions to the theory of polarity and also understood that a satisfactory development (...) of projective geometry has to overcome the specificity of that theory itself. In this perspective, he developed his ideas on duality and homography, showing their dependence on the concept that he was going to pose at the basis of geometry: the anharmonic ratio, today called cross-ratio. The conceptual itinerary that starts from Chasles’ studies on polarity and ends with his results based on the cross-ratio represents the itinerary of his foundational programme. I will follow this complex and interesting line of thought, place it in the context of what was then called descriptive geometry, and outline a connection with the later great results of Von Staudt, Cayley, and Klein. (shrink)

Sir Isaac Newton was one of the greatest scientists of all time, a thinker of extraordinary range and creativity who has left enduring legacies in mathematics and the natural sciences. In this volume a team of distinguished contributors examine all the main aspects of Newton's thought, including not only his approach to space, time, mechanics, and universal gravity in his Principia, his research in optics, and his contributions to mathematics, but also his more clandestine investigations into alchemy, theology, and prophecy, (...) which have sometimes been overshadowed by his mathematical and scientific interests. (shrink)

Isaac Newton's Scientific Method examines Newton's argument for universal gravity and his application of it to resolve the problem of deciding between geocentric and heliocentric world systems by measuring masses of the sun and planets. William L. Harper suggests that Newton's inferences from phenomena realize an ideal of empirical success that is richer than prediction. Any theory that can achieve this rich sort of empirical success must not only be able to predict the phenomena it purports to explain, but also (...) have those phenomena accurately measure the parameters which explain them. Harper explores the ways in which Newton's method aims to turn theoretical questions into ones which can be answered empirically by measurement from phenomena, and to establish that propositions inferred from phenomena are provisionally accepted as guides to further research. This methodology, guided by its rich ideal of empirical success, supports a conception of scientific progress that does not require construing it as progress toward Laplace's ideal limit of a final theory of everything, and is not threatened by the classic argument against convergent realism. Newton's method endorses the radical theoretical transformation from his theory to Einstein's. Harper argues that it is strikingly realized in the development and application of testing frameworks for relativistic theories of gravity, and very much at work in cosmology today. (shrink)