The novel understanding of the physical world that characterized the Scientific Revolution depended on a fundamental shift in the way its protagonists understood and described space. At the beginning of the seventeenth century, spatial phenomena were described in relation to a presupposed central point; by its end, space had become a centerless void in which phenomena could only be described by reference to arbitrary orientations. David Marshall Miller examines both the historical and philosophical aspects of this far-reaching development, including the (...) rejection of the idea of heavenly spheres, the advent of rectilinear inertia, and the theoretical contributions of Copernicus, Gilbert, Kepler, Galileo, Descartes, and Newton. His rich study shows clearly how the centered Aristotelian cosmos became the oriented Newtonian universe, and will be of great interest to students and scholars of the history and philosophy of science. (shrink)

Newton’s argument for universal gravitation in the Principia eventually rested on the third “Rule of Philosophizing,” which warrants the generalization of “qualities of bodies.” An analysis of the rule and the history of its development indicate that the term ‘quality’ should be taken to include both inherent properties of bodies and relations among systems of bodies, generalized into `laws'. By incorporating law‐induction into the rule, Newton could legitimately rebuff objections to his theory by claiming that universal gravitation was justified by (...) his method even if he could not specify the cause of gravity . †To contact the author, please write to: Department of Philosophy, Duke University, 201 West Duke Building, Box 90743, Durham, NC 27708; e‐mail: [email protected]. (shrink)

The history of the Parallelogram Rule for composing physical quantities, such as motions and forces, is marked by conceptual difficulties leading to false starts and halting progress. In particular, authors resisted the required assumption that the magnitude and the direction of a quantity can interact and are jointly necessary to represent the quantity. Consequently, the origins of the Rule cannot be traced to Pseudo-Aristotle or Stevin, as commonly held, but to Fermat, Hobbes, and subsequent developments in the latter part of (...) the seventeenth century. (shrink)

Galileo’s telescopic lunar observations, announced in Siderius Nuncius (1610), were a triumph of observational skill and ingenuity. Yet, unlike the Medicean stars, Galileo’s lunar “discoveries” were not especially novel. Indeed, Plutarch had noted the moon’s uneven surface in classical times, and many other renaissance observers had also turned their gaze moonward, even (in Harriot’s case) aided by telescopes of their own. Moreover, what Galileo and his contemporaries saw was colored by the assumptions they already had. Copernicans assumed the moon was (...) a terrestrial satellite, thus Galileo saw its mountains and Kepler “saw” the dwellings of its inhabitants. Aristotelians assumed the moon was a perfect sphere, so they saw differences in density and rarity in the lunar body. Theory corrected the results of observation, so Galileo’s lunar observations, like those that had come before, proved nothing. Yet this failure contained the germ of Galileo’s success, since the Siderius Nuncius gave observation a rhetorical force it did not have before. Observers on all sides set out to see for themselves what Galileo reported. Hence, all parties now had to answer to what they saw, whatever they believed. Thus, the Siderius Nuncius ultimately changed the grounds upon which natural philosophical argument and debate was carried out. In this new empirical arena, the Galilean science would eventually prevail. (shrink)

One of the distinctive features of modern science is a commitment to empiricism—a fundamental expectation that theoretical hypotheses will survive encounters with observations. Those that comport with the theory's explanations and predictions confirm the theory. Anomalous observations that do not fit theoretical expectations disconfirm it. Moreover, experiments can be contrived to generate observations that might serve to confirm or disconfirm a theory. Philosophers of science may disagree as to how exactly all of this is supposed to work, but the basic (...) empiricist expectation almost goes without saying. To deny it is to rule one's self out of the bounds of the scientificenterprise.Strange as it might seem to modern... (shrink)

Science lies at the intersection of ideas and society, at the heart of the modern human experience. The study of past science should therefore be central to our humanistic attempt to know ourselves. Nevertheless, past science is not studied as an integral whole, but from two very different and divergent perspectives: the intellectual history of science, which focuses on the development of ideas and arguments, and the social history of science, which focuses on the development of science as a social (...) undertaking within its broader contexts. There is almost universal agreement that this bifurcation of the field is lamentable, and nearly universal disagreement about where, exactly, the problem lies. In order to identify the difficulty, this paper examines the institutional histories and disciplinary philosophies that have constituted the study of past science. I argue that science history, eventually allied itself with either History or Philosophy in order to find institutional support, thereby suffering the artificial imposition of the disciplinary prejudices of its allied fields, which lead science historians to adopt either the intellectual or the social perspective. Science history must reconcile its distinctions on its own terms, as an integrated unity with its own disciplinary bounds, and apart from History and Philosophy. As a catalyst for rapprochement, the historical and philosophical examination also yields a mapping of the field of science history that can be used to locate the problematic divisions in present scholarship and to draw new disciplinary bounds. (shrink)

In 1596, in the Mysterium Cosmographicum, a twenty-five-year-old Johannes Kepler rashly banished lines from the universe. They “scarcely admit of order,” he wrote, and God himself could have no use for them in this “well-ordered universe.” Twenty-five years later, though, Kepler had come to repent the temerity of his youth. “O male factum!” he lamented in a 1621 second edition of the Mysterium – “O what a mistake” it was to dismiss lines, for linearity is revealed in those most perfect (...) and divine motions – the revolutions of the heavenly orbs. Why did Kepler come to lament the rashness of his youth? The answer lies deep in the details of Kepler’s discovery of elliptical orbits in 1605. Kepler struggled to find an empirically adequate description and physically plausible explanation of Mars’s path through the heavens. He realized, though, that his originally spherical notion of location and direction were insufficient to reconcile descriptions and explanations of the planet’s motion. Crucially inspired by the “magnetic philosophy” of William Gilbert, Kepler adopted an oriented conception of space, which finally allowed a plausible mechanism to be constructed for elliptical motion – the true path of the planet. Yet, this oriented space required the stipulation of straight lines. Without straight lines, even God could not construct the planets’ elliptical orbits. (shrink)

In Dynamics of Reason (2001), Michael Friedman uses the example of Galilean rectilinear inertia to support his defense of scientific rationality against post-positivist skepticism. However, Friedman’s treatment of the case is flawed, such that his model of scientific change fails to fit the historical evidence. I present the case of Galileo, showing how it supports Friedman’s view of scientific knowledge, but undermines his view of scientific change. I then suggest reciprocal iteration as an amendment of Friedman’s view that better accounts (...) for scientific change. (shrink)

Galileo’s impractical science Content Type Journal Article Pages 1-3 DOI 10.1007/s11016-011-9534-4 Authors David Marshall Miller, Department of Philosophy, Duke University, 201 West Duke, Durham, NC 27708, USA Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

Based on an examination of Galileo’s mechanics, Peter Machamer and Andrea Woody (and Machamer alone in subsequent articles) proposed the scientific use of what they call models of intelligibility. As they define it, a model of intelligibility (MOI) is a concrete phenomenon that guides scientific understanding of problematic cases. This paper extends Machamer and Woody’s analysis by elaborating the semantic function of MOIs. MOIs are physical embodiments of theoretical representations. Therefore, they eliminate the interpretive distance between theory and phenomena, creating (...) classes of concrete referents for theoretical concepts. Meanwhile, MOIs also provide evidence for historical analyses of concepts, like ‘body’ or ‘motion’, that are otherwise thought to be too basic for explicit explication. These points are illustrated by two examples also drawn from Galileo. First, I show how the introduction of the balance as an MOI leads Galileo to reject the Aristotelian conception of elemental natures. Second, Galileo’s rejection of medieval MOIs of circular motion constrains the reference of ‘conserved motion’ to curvilinear translations, thereby excluding the rotations that had been included in its scope. Both uses of MOIs marked important steps toward modern classical mechanics. (shrink)

The early modern era produced the Scientific Revolution, which originated our present understanding of the natural world. Concurrently, philosophers established the conceptual foundations of modernity. This rich and comprehensive volume surveys and illuminates the numerous and complicated interconnections between philosophical and scientific thought as both were radically transformed from the late sixteenth to the mid-eighteenth century. The chapters explore reciprocal influences between philosophy and physics, astronomy, mathematics, medicine, and other disciplines, and show how thinkers responded to an immense range of (...) intellectual, material, and institutional influences. The volume offers a unique perspicuity, viewing the entire landscape of early modern philosophy and science, and also marks an epoch in contemporary scholarship, surveying recent contributions and suggesting future investigations for the next generation of scholars and students. (shrink)

All too often, historians of the ‘Galileo Affair’ fail to recognize the dynamic – indeed, tumultuous – nature of the political landscape surrounding Galileo’s condemnation and the events leading to it. This was a landscape rent by the Thirty Years War, which dominated the affairs of Europe’s rulers, including Galileo’s patrons. In fact, Galileo’s publication of the Dialogo in 1632 could not have come at a more ill-advised moment: in the aftermath of the battle of Breitenfeld, the nadir of Catholicism (...) in Germany. Blame for this calamitous defeat fell on Galileo’s most important protector, Pope Urban VIII. Thus, when Galileo’s book appeared, Galileo became a useful example by which Urban could consolidate his severely weakened position. The Pope carefully crafted the public image of an unusual trial, at the expense of his old friend. Certainly, Galileo’s trial resulted from profound intellectual and political tensions that pervaded early modern Rome, but it must also be understood in light of the European exigencies of the moment. (shrink)

Most historians of science eagerly acknowledge that the early modern period witnessed a shift from a prevailing Aristotelian, spherical, centered conception of space to a prevailing Cartesian, rectilinear, oriented spatial framework. Indeed, this shift underlay many of the important advances for which the period is celebrated. However, historians have failed to engage the general conceptual shift, focusing instead on the particular explanatory developments that resulted. This historical lacuna can be attributed to a historiographical problem: the lack of an adequate unit (...) of analysis by which to investigate the conceptual change. Here, a philosophical argument is made for representations of space as an appropriate category of historical investigation, and methods of textual interrogation are suggested to this end. Finally, two examples, taken from Aristotle and Newton, demonstrate the feasibility and importance of this project. (shrink)