We argue that a conflict between two conceptions of “quantity of matter” employed in a corollary to proposition 6 of Book III of the Principia illustrates a deeper conflict between Newton’s view of the nature of extended bodies and the concept of mass appropriate for the theoretical framework of the Principia. We trace Newton’s failure to recognize the conflict to the fact that he allowed for the justification of natural philosophical claims by two types of a posteriori, empiricist methodologies. Newton's (...) thoughts on these methodologies demonstrate that his natural philosophy continued to develop after the publication of the first edition of Principia and that De Grav should be understood as an early, and not necessarily representative, text. (shrink)

Newton’s Regulae philosophandi—the rules for reasoning in natural philosophy—are maxims of causal reasoning and induction. This essay reviews their significance for Newton’s method of inquiry, as well as their application to particular propositions within the Principia. Two main claims emerge. First, the rules are not only interrelated, they defend various facets of the same core idea: that nature is simple and orderly by divine decree, and that, consequently, human beings can be justified in inferring universal causes from limited phenomena, if (...) only fallibly. Second, the rules make substantive ontological assumptions on which Newton’s argument in the Principia relies. (shrink)

Newton began his Principia with three Axiomata sive Leges Motus. We offer an interpretation of Newton’s dual label and investigate two tensions inherent in his account of laws. The first arises from the juxtaposition of Newton’s confidence in the certainty of his laws and his commitment to their variability and contingency. The second arises because Newton ascribes fundamental status both to the laws and to the bodies and forces they govern. We argue the first is resolvable, but the second is (...) not. However, the second tension shows that Newton conceives laws as formal causes of bodies and forces. This neo-Aristotelian conception goes missing in Kantian accounts of laws, as well as accounts that stress laws’ grounding in powers and capacities. (shrink)

I argue that Isaac Newton's De Gravitatione should not be considered an authoritative expression of his thought about the metaphysics of space and its relation to physical inquiry. I establish the following narrative: In De Gravitatione (circa 1668–84), Newton claimed he had direct experimental evidence for the work's central thesis: that space had "its own manner of existing" as an affection or emanative effect. In the 1710s, however, through the prodding of Roger Cotes and G. W. Leibniz, he came to (...) see that this evidence relied on assumptions that his own Principia rendered unjustifiable. Consequently, he (i) revised the conclusions he explicitly drew from the experimental evidence, (ii) rejected the idea that his spatial metaphysics was grounded in experimental evidence, and (iii) reassessed the epistemic status of key concepts in his metaphysics and natural philosophy. The narrative I explore shows not only that De Gravitatione did not constitute the metaphysical backdrop of the Principia as Newton ultimately understood it, but that it was the Principia itself that ultimately lead to the demise of key elements of De Gravitatione. I explore the implications of this narrative for Andrew Janiak's and Howards Stein's interpretations of Newton's metaphysics. (shrink)

This is the first volume of original commissioned papers on the subject of Newton and empiricism. The chapters, contributed by a leading team of both established and younger international scholars, explore the nature and extent of Newton's relationship to a variety of empiricisms and empiricists.

Newton's Principia begins with eight formal definitions and a scholium, the so-called scholium on space and time. Despite a history of misinterpretation, scholars now largely agree that the purpose of the scholium is to establish and defend the de fi nitions of key concepts. There is no consensus, however, on how those definitions differ in kind from the Principia's formal definitions and why they are set-off in a scholium. The purpose of the present essay is to shed light on the (...) scholium by focusing on Newton's notion and use of de fi nition. The resulting view is developmental. I argue that when Newton first wrote the Principia, he viewed the scholium's definitions as items of “natural philosophy.” By the time of the third edition, however, he came to view their methodological status differently; he viewed them as belonging to the more qualified “manner of geometers.” I explicate the two methods of natural inquiry and draw out their implications for Newton's account of space. (shrink)

The introduction considers the state of scholarship on empiricism as a philosophical and historical category, particularly as it pertains to experimental philosophy. It concludes that empiricism properly understood is a rich category encompassing epistemic, semantic, methodological, experimental, and moral elements. Its richness makes it a suitable lens through which to account for actual historical complexity. The introduction relates the category to the work of Sir Isaac Newton, who influenced all of empiricism’s elements.

: Although Galileo's struggle to mathematize the study of nature is well known and oft discussed, less discussed is the form this struggle takes in relation to Galileo's first new science, the science of the second day of the Discorsi. This essay argues that Galileo's first science ought to be understood as the science of matter—not, as it is usually understood, the science of the strength of materials. This understanding sheds light on the convoluted structure of the Discorsi's first day. (...) It suggests that the day's meandering discussions of the continuum, infinity, the vacuum, and condensation and rarefaction establish that a formal treatment of the "eternal and necessary" properties of matter is possible; i.e., that matter as such can be considered mathematically. This would have been a necessary, and indeed revolutionary, preliminary to the mathematical science of the second day because matter itself was thought in the Aristotelian tradition to be responsible for the departure of natural bodies from the unchanging and thus mathematizable character of abstract objects. In addition, the first day establishes that when considered physically, these properties account for matter's force of cohesion and resistance to fracture. This essay closes by showing that this dual style of reasoning accords with the conceptual structure of mixed mathematics. (shrink)

We argue that the idea of embodiment and the strategies for carrying out embodied approaches are some of the most prevalent and interdisciplinary legacies of early modern science. The idea of embodiment is simple: to explain the behavior of bodies, we must understand them as unified wholes in their environments. Embodied approaches eschew explanations in terms of qualitative descriptions of the intrinsic properties of bodies and promote explanation in terms of the interaction between bodies. This idea can be found in (...) Kepler's optics, Descartes' physics, and Newton's physico-mathematics. The Senses Considered as Perceptual Systems (Gibson, 1966) is the culmination of this centuries-long embodiment movement which can be traced back to the 17th century. (shrink)

Accounts of Hobbes’s ‘system’ of sciences oscillate between two extremes. On one extreme, the system is portrayed as wholly axiomtic-deductive, with statecraft being deduced in an unbroken chain from the principles of logic and first philosophy. On the other, it is portrayed as rife with conceptual cracks and fissures, with Hobbes’s statements about its deductive structure amounting to mere window-dressing. This paper argues that a middle way is found by conceiving of Hobbes’s _Elements of Philosophy_ on the model of a (...) mixed-mathematical science, not the model provided by Euclid’s _Elements of Geometry_. I suggest that Hobbes is a test case for understanding early-modern system-construction more generally, as inspired by the structure of the applied mathematical sciences. This approach has the additional virtue of bolstering, in a novel way, the thesis that the transformation of philosophy in the long seventeenth century was heavily indebted to mathematics, a thesis that has increasingly come under attack in recent years. (shrink)

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)

Review Essay of ‘Isaac Newton’s Scientific Method’ by William L. Harper.

Teaching Newtonian physics involves the replacement of students’ ideas about physical situations with precise concepts appropriate for mathematical applications. This paper focuses on the concepts of ‘matter’ and ‘mass’. We suggest that students, like some pre-Newtonian scientists we examine, use these terms in a way that conflicts with their Newtonian meaning. Specifically, ‘matter’ and ‘mass’ indicate to them the sorts of things that are tangible, bulky, and take up space. In Newtonian mechanics, however, the terms are defined by Newton’s Second (...) Law: ‘mass’ is simply a measure of the acceleration generated by an impressed force. We examine the relationship between these conceptions as it was discussed by Newton and his editor, Roger Cotes, when analyzing a series of pendulum experiments. We suggest that these experiments, as well as more sophisticated computer simulations, can be used in the classroom to sufficiently differentiate the colloquial and precise meaning of these terms. (shrink)

We examine the contrast between the “Newtonian style” and the Cartesian, hypothetico-deductive method in order to expand on George Smith's account of working hypotheses and theory-mediation. We stress the pivotal role of theory-mediation in turning experience into well-defined phenomena and introduce the complementary notions of conditional and independent evidence. Conditional evidence is evidence in favor of an hypothesis that is based on phenomena that would not be constituted as phenomena without the hypothesis in question. Direct evidence is evidence based on (...) phenomena that are independently available. We use the distinction to interrogate the role of mathematical representation as the most basic constitutive posit of the Newtonian style, as the working hypothesis that enables all further theory-mediation. Our primary examples are Newton's struggles with motion in fluids and his defense of the Laws of Motion. (shrink)

This volume is a collection of original essays focusing on a wide range of topics in the History and Philosophy of Science. It is a festschrift for Peter Machamer, which includes contributions from scholars who, at one time or another, were his students. The essays bring together analyses of issues and debates spanning from early modern science and philosophy through the 21st century. Machamer’s influence is reflected in the volume’s broad range of topics. These include: underdetermination, scientific practice, scientific models, (...) mechanistic explanation in contemporary and historical science, values in science, the relationship between philosophy and psychology, experimentation, supervenience and reductionism. (shrink)

Public participation in scientific research has gained prominence in many scientific fields, but the theory of participatory research is still limited. In this paper, we suggest that the divergence of values and goals between academic researchers and public participants in research is key to analyzing the different forms this research takes. We examine two existing characterizations of participatory research: one in terms of public participants' role in the research, the other in terms of the virtues of the research. In our (...) view, each of these captures an important feature of participatory research but is, on its own, limited in what features it takes into account. We introduce an expanded conception of norms of collaboration that extends to both academic researchers and public participants. We suggest that satisfying these norms requires consideration of the two groups' possibly divergent values and goals, and that a broad characterization of participatory research that starts from participants' values and goals can motivate both public participants’ role in the research and the virtues of the research. The resulting framework clarifies the similarities and differences among participatory projects and can help guide the responsible design of such projects. (shrink)

Evolution, mathematics, and the evolution of mathematics -- Mathematics and the Greeks' view of the world -- Mathematics and the view of the world in early modern times -- Mathematics and the modern view of the world -- The mathematics of randomness -- The mathematics of human behavior -- computations and computers -- Is there really no doubt? -- The nature of research in mathematics -- Why is teaching and learning mathematics so hard?

What is sovereignty? Often taken for granted or seen as the ideology of European states vying for supremacy and conquest, the concept of sovereignty remains underexamined both in the history of its practices and in its aesthetic and intellectual underpinnings. Using global intellectual history as a bridge between approaches, periods, and areas, The Scaffolding of Sovereignty deploys a comparative and theoretically rich conception of sovereignty to reconsider the different schemes on which it has been based or renewed, the public stages (...) on which it is erected or destroyed, and the images and ideas on which it rests. The essays in The Scaffolding of Sovereignty reveal that sovereignty has always been supported, complemented, and enforced by a complex aesthetic and intellectual scaffolding. This collection takes a multidisciplinary approach to investigating the concept on a global scale, ranging from an account of a Manchu emperor building a mosque to a discussion of the continuing power of Lenin’s corpse, from an analysis of the death of kings in classical Greek tragedy to an exploration of the imagery of “the people” in the Age of Revolutions. Across seventeen chapters that closely study specific historical regimes and conflicts, the book’s contributors examine intersections of authority, power, theatricality, science and medicine, jurisdiction, rulership, human rights, scholarship, religious and popular ideas, and international legal thought that support or undermine different instances of sovereign power and its representations. (shrink)

In this stunning reappraisal of the celebrated case of Daniel Paul Schreber, Lothane takes the reader on a richly documented tour of all the ingredients that made Schreber's illness a unique psychiatric event. Building outward from a close examination of Schreber's troubled relationship to his two psychiatrists, Flechsig and Weber, Lothane elaborates the personal, familial, and cultural contexts of Schreber's illness. Incorporating extensive new archival and bibliographic research, and providing extensive accounts of the personalities and theories of Schreber's two psychiatrists, (...) Paul Flechsig and Guido Weber, Zvi Lothane offers a stunning reappraisal of the Schreber case that overturns virtually all previous opinion. Lothane examines both the man and his milieu in a way that allows the reader fresh access not only to the tragedy of Schreber's illness but also to his heroic, if doomed, attempts to come to terms with his condition through writing. In the process, he persuasively demonstrates that important issues of both psychiatric diagnosis and psychoanalytic interpretation have heretofore been compromised by a failure to pay sufficient attention to Schreber's interpersonal, cultural, and historical contexts. (shrink)

The emergence and persistence of the jews other.

All families are political, each in its own way. Nevertheless, the diversity of family politics has not negated, by and large, patriarchal influence on the Political Family. This Article introduces the Political Family as a key concept in a scholarly and activist movement in family law studies which I identify as Critical Family Law. In Part I a reminder is offered that “alternative families” have existed since the dawn of history. However, I argue that despite constant changes in the configuration (...) of the family, for the most part all family forms have adhered to patriarchy. Part II offers a brief overview of some of the central themes in contemporary critical study of family law. I show how dichotomies such as private/public and intervention/autonomy have lain at the basis of the definition of the family since antiquity, constantly shifting the very meaning of the family across time, cultures and legal traditions, but rarely challenging its patriarchal ideology. Such challenges necessitate a critical look at the language of rights and obligations within the family, in acknowledgment that this very discourse is already saturated with ideology and biased preconceptions. Under the umbrella of “Critical Family Law,” I explore the potential for promoting such a shift, discussing articles in this issue. In memory of Paula Ettelbrick, 1955-2011. (shrink)

Herbert Marcuse visited Israel in late December 1971 . Summing up his political conclusions at the end of his visit, he published an article in the English-language Israeli newspaper The Jerusalem Post under the title “Israel is Strong Enough to Concede.”1 A Hebrew translation of that article appeared concurrently in the Israeli daily Haaretz under the title “My Opinions on the Arab-Israeli Conflict: Israel Must Accept the Existence of a Palestinian State.”2 A few days prior to the publication of his (...) article in the Israeli press, Marcuse met with journalists and other guests…. (shrink)