Isaac Newton is best known as a mathematician and physicist. He invented the calculus, discovered universal gravitation and made significant advances in theoretical and experimental optics. His master-work on gravitation, the Principia, is often hailed as the crowning achievement of the scientific revolution. His significance for philosophers, however, extends beyond the philosophical implications of his scientific discoveries. Newton was an able and subtle philosopher, working at a time when science was not yet recognized as an activity distinct from philosophy. He (...) engaged with the work of Rene Descartes and G.W. Leibniz, and showed sensitivity to the work of John Locke, Francis Bacon, Pierre Gassendi and Henry More, to name just a few. In his time, Newton was not perceived as a scientific outsider, but as an active and knowledgeable participant in philosophical debates.... (shrink)

In this study, we test the security of a crucial plank in the Principia’s mathematical foundation, namely Newton’s path leading to his solution of the famous Inverse Kepler Problem: a body attracted toward an immovable center by a centripetal force inversely proportional to the square of the distance from the center must move on a conic having a focus in that center. This path begins with his definitions of centripetal and motive force, moves through the second law of motion, then (...) traverses Propositions I, II, and VI, before coming to an end with Propositions XI, XII, XIII and this trio’s first corollary. To test the security of this path, we answer the following questions. How far is Newton’s path from being truly rigorous? What would it take to clarify his ambiguous definitions and laws, supply missing details, and close logical gaps? In short, what would it take to make Newton’s route to the Inverse Kepler Problem completely convincing? The answer is very surprising: it takes far less than one might have expected, given that Newton carved this path in 1687.Keywords: Isaac Newton; Principia; Centripetal force; Second law of motion; Conic orbits; Inverse Kepler Problem. (shrink)

This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the (...) field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. -/- The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. -/- The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. Each chapter engages in an assessment of the strengths and weakness of the research addressed, and suggests potentially fruitful avenues of future research. A key element of the handbook’s broader analytical framework is its identification and examination of unnoticed philosophical assumptions in science and mathematics research. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. (shrink)

In 1675, Burchard de Volder became the first university physics professor to introduce the demonstration of experiments into his lectures and to create a special university classroom, The Leiden Physics Theatre, for this specific purpose. This is surprising for two reasons: first, early pre-Newtonian experiment is commonly associated with Italy and England, and second, de Volder is committed to Cartesian philosophy, including the view that knowledge gathered through the senses is subject to doubt, while that deducted from first principles is (...) certain. On the surface, it is curious that such a man would bring experiments to university physics. After all, in demonstrating experiments to his students, he was teaching them through their senses, not reason. However, if we consider the institutional context of de Volder’s teaching, we come to see de Volder’s Cartesian experimentalism as representative of a certain form of pre-Newtonian Dutch Cartesian science, as well as part of a larger tradition of teaching through observation at the University of Leiden. Considering de Volder’s institutional context will help us see that de Volder’s experimentalism was not in spite of his Cartesianism, but motivated by it. This paper will describe de Volder’s physics curriculum, the Theatre in which it was taught and how his work predates similar efforts in other European Universities. The second part will consider three aspects of the culture at the University of Leiden: a tradition of teaching through observation, a particular reception of Cartesianism, and an eclectic approach to the New Philosophy. The concluding portion shows how de Volder would have understood his enterprise in Cartesian terms. (shrink)

El siglo XVIII está considerado como una época en la que el método de investigación newtoniano está bien establecido y su uso no se cuestiona, según autores como Kuhn. Sin embargo, como veremos, esto está muy alejado de la realidad, ya que aquí planteamos los dos objetivos siguientes: por un lado, observaremos como dentro de los propios llamados newtonianos no hay un uso uniforme del método newtoniano y que algunos de ellos incluso lo modifican en sus obras donde exponen la (...) doctrina de Newton. Por otro lado, expondremos el método de Émilie du Châtelet, quien, habiendo leído a Newton y a estos pensadores, siente rechazo hacia la metodología que proponen y se dispone a elaborar lo que se puede considerar un precedente del método hipotético-deductivo utilizado hoy día. Lo que se persigue con el presente estudio, en definitiva, es arrojar luz sobre la situación del newtonianismo del siglo XVIII y mostrar el trabajo de du Châtelet como un puente entre dos épocas en relación a la metodología. (shrink)

Positivism and, especially, Max Weber's vision of the modern disen chantment of the world are incoherent because they separate human culture from the environment in which human agents pursue their life- projects. The same problem is manifested, more blatantly, in current social studies of science, which take the project of disenchantment further by disenchanting science itself. A different image of science is traced to classical empiricism, whose paradigm of learning is belief and, more specifically, the practical nature of the believer's (...) experience of the environment of his or her actions. The believer's ecological imagery of the world, as it was elaborated by classical empiricism, provides the means to transcend the disenchanted image of the world and its prob lems. (shrink)

This paper compares Newton’s and Descartes’s conceptions of the complex relationship between physics and metaphysics.

In this discussion paper, I seek to challenge Hylarie Kochiras’ recent claims on Newton’s attitude towards action at a distance, which will be presented in Section 1. In doing so, I shall include the positions of Andrew Janiak and John Henry in my discussion and present my own tackle on the matter . Additionally, I seek to strengthen Kochiras’ argument that Newton sought to explain the cause of gravity in terms of secondary causation . I also provide some specification on (...) what Kochiras calls ‘Newton’s substance counting problem’ . In conclusion, I suggest a historical correction .Keywords: Isaac Newton ; Action at a distance; Cause of gravity; Fourth letter to Bentley. (shrink)

The 300th anniversary of the publication of Isaac Newton’s Opticks in 1704 provides an occasion to review the history of its composition and publication. As a preliminary to presenting that history, Newton’s attitude to publication and response to criticism are examined. Newton’s clashes with Hooke and his presumed role as the cause of the delay in the publication of the Opticks until after his death are also scrutinized. Rather than simply presenting Newton and Hooke as quarrelsome, which they indeed were, (...) they are presented as rivals to be England’s leading optical authority. Although Newton announced his intention to publish a book very much like the Opticks in the winter of 1675–76, he did not begin to write it until 1687. It was composed in various stages, including new experimental investigations, by 1692, except for the part on diffraction. A planned, but unfulfilled, revision of the part on diffraction was responsible for delaying its publication for a number of years. (shrink)

Recent studies have fruitfully examined the intersection between early modern science and visual culture by elucidating the functions of images in shaping and disseminating scientific knowledge. Given its rich archival sources, it is possible to extend this line of research in the case of the Royal Society to an examination of attitudes towards images as artifacts—manufactured objects worth commissioning, collecting, and studying. Drawing on existing scholarship and material from the Royal Society Archives, I discuss Fellows’ interests in prints, drawings, varnishes, (...) colorants, images made out of unusual materials, and methods of identifying the painter from a painting. Knowledge of production processes of images was important to members of the Royal Society, not only as connoisseurs and collectors, but also as those interested in a Baconian mastery of material processes, including a “history of trades.” Their antiquarian interests led to discussion of painters’ styles, and they gradually developed a visual memorial to an institution through portraits and other visual records. (shrink)

Robert Hooke’s theory of gravitation is a promising case study for probing the fruitfulness of Menachem Fisch’s insistence on the centrality of trading zone mediators for rational change in the history of science and mathematics. In 1679, Hooke proposed an innovative explanation of planetary motions to Newton’s attention. Until the correspondence with Hooke, Newton had embraced planetary models, whereby planets move around the Sun because of the action of an ether filling the interplanetary space. Hooke’s model, instead, consisted in the (...) idea that planets move in the void space under the influence of a gravitational attraction directed toward the sun. There is no doubt that the correspondence with Hooke allowed Newton to conceive a new explanation for planetary motions. This explanation was proposed by Hooke as a hypothesis that needed mathematical development and experimental confirmation. Hooke formulated his new model in a mathematical language which overlapped but not coincided with Newton’s who developed Hooke’s hypothetical model into the theory of universal gravitation as published in the Mathematical Principles of Natural Philosophy (1687). The nature of Hooke’s contributions to mathematized natural philosophy, however, was contested during his own lifetime and gave rise to negative evaluations until the last century. Hooke has been often contrasted to Newton as a practitioner rather than as a “scientist” and unfavorably compared to the eminent Lucasian Professor. Hooke’s correspondence with Newton seems to me an example of the phenomenon, discussed by Fisch in his philosophical works, of the invisibility in official historiography of “trading zone mediators,” namely, of those actors that play a role, crucial but not easily recognized, in promoting rational scientific framework change. (shrink)

(2009). The Role of Natural Philosophy in the Development of Locke's Empiricism. British Journal for the History of Philosophy: Vol. 17, No. 1, pp. 55-83.

In this paper, I consider Isaac Newton’s fevered accusation that John Locke is a ‘Hobbist.’ I suggest a number of ways in which Locke’s account of the mind–body relation could plausibly be construed as Hobbesian. Whereas Newton conceives of the human mind as an immaterial substance and venerates it as a finite image of the Divine Mind, I argue that Locke utterly deflates the religious, ethical, and metaphysical significance of an immaterial soul. Even stronger, I contend that there is good (...) reason to suspect that Locke is a crypto-materialist, at least with respect to human beings, and in this respect, could reasonably be labeled a ‘Hobbist.’. (shrink)

Distributed cognition is widely recognized as an approach to the study of all cognition. It identifies the distribution of cognitive processes between persons and technology, among people, and across time in the development of the social and material contexts for thinking. This paper suggests an ectoderm-centric perspective as the basis for distributed cognition, and in so doing redefines distributed cognition as the ability of an organism to interact with its environment for the purpose of satisfying its most basic physiological (internal (...) and external) and social needs in order to survive and sustain itself. Underlying this ectoderm-centric perspective is a proposed theory of reactive and interactive learning. (shrink)

The mathematical nature of modern science is an outcome of a contingent historical process, whose most critical stages occurred in the seventeenth century. ‘The mathematization of nature’ (Koyré 1957 , From the closed world to the infinite universe , 5) is commonly hailed as the great achievement of the ‘scientific revolution’, but for the agents affecting this development it was not a clear insight into the structure of the universe or into the proper way of studying it. Rather, it was (...) a deliberate project of great intellectual promise, but fraught with excruciating technical challenges and unsettling epistemological conundrums. These required a radical change in the relations between mathematics, order and physical phenomena and the development of new practices of tracing and analyzing motion. This essay presents a series of discrete moments in this process. For mediaeval and Renaissance philosophers, mathematicians and painters, physical motion was the paradigm of change, hence of disorder, and ipso facto available to mathematical analysis only as idealized abstraction. Kepler and Galileo boldly reverted the traditional presumptions: for them, mathematical harmonies were embedded in creation; motion was the carrier of order; and the objects of mathematics were mathematical curves drawn by nature itself. Mathematics could thus be assigned an explanatory role in natural philosophy, capturing a new metaphysical entity: pure motion. Successive generations of natural philosophers from Descartes to Huygens and Hooke gradually relegated the need to legitimize the application of mathematics to natural phenomena and the blurring of natural and artificial this application relied on. Newton finally erased the distinction between nature’s and artificial mathematics altogether, equating all of geometry with mechanical practice. (shrink)

Dans cet article, nous proposons une étude du rapport qu’entretient la notion d’espace avec la doctrine de la prisca theologia dans le manuscrit « Tempus et locus » d’Isaac Newton. Nous nous efforçons de montrer que ce manuscrit méconnu remet en question la lecture positiviste qu’il peut être tentant de faire du concept d’espace absolu, tel qu’il est défini à la même période dans la première édition des Principes mathématiques de la philosophie naturelle. Il s’agit au contraire de comprendre l’importance (...) des enjeux théologiques de la construction de ce concept afin d’en saisir la richesse et l’importance dans l’œuvre scientifique du savant anglais. (shrink)