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)

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.

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)

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?

The paradigmatic bases, which sustain traditional western psychological interpretative efforts, need not be just a footnote to Plato. In this paper we introduce the Talmudic interpretative perspective, which we use to point at some weaknesses we identify in contemporary research imaginings. While the empiricist approach may be traced to Plato and the interpretative and the critical approaches may be traced to Heraclitus, we argue that the Talmudic approach is a differentiated and unique perspective that, because of its non-epistemic nature, its (...) dialogical character, and its recognition of two intermingled levels of interpretation, can make an important contribution to new ways of thinking about understanding and meaning in research. (shrink)

This paper addresses the phenomenon of judicial greatness by developing a general concept of greatness and applying it to law. Under the view offered in the paper, greatness is connected to theoretical or methodological diversification. When applied to adjudication, this means that great judges are revered because they successfully make a prima facie case for their novel adjudicative methods. This is not a judicial duty but rather a voluntary project. However, once a judge succeeds in making such a prima facie (...) case, he is exempt from other judicial duties. This thesis challenges many theories of judicial duty, which do not allow normative room for supererogatory actions in law. The paper demonstrates these claims by discussing two paradigmatic great judges – Chief Justice Marshall and Justice Holmes. (shrink)

During World War I, Bertrand Russell's outspoken pacifism resulted in his being committed to jail. When he entered the prison, he was met by the warden who showed himself to be quite ecumenical in his religious beliefs, as indicated by this anecdote: ‘I was much cheered on my arrival by the warder at the gate, who had to take particluars about me. He asked my religion and I replied “agnostic”. He asked how to spell it, and remarked with a sigh: (...) “Well, there are many religions, but I suppose they all worship the same God”. This remark kept me cheerful about a week.’. (shrink)

The emergence and persistence of the jews other.

This paper deals with decision makers who choose among information systems. It shows that the properties of Schur convexity and of quasi-convexity are equivalent, even when general preferences are considered. Since Schur convexity is closely related to having a willingness to accept information and since quasi-convexity is closely related to having a preference for early resolution of the uncertainty about which information system prevails, then it follows that the equivalence implies that decision makers prefer more information to less if, and (...) only if, they prefer early resolution of uncertainty to later resolution. (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)

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)

The present work is aimed at filling a hiatus in the literature dealing with the Young Hegelians and the early thought of Karl Marx. Despite the prevalent view in the past few decades that Bruno Bauer played an important part in the radical activity of Hegel's young disciples in the eighteen forties in Germany, no comprehensive work has so far been published on the relations between Bauer and Marx. In 1927 Ernst Bar nikol promised to write a monograph on the (...) subject, but he never did. For the purpose of this study I perused material in numerous library collections and I would like to express my gratitude to the staff of the following institutions: Tel Aviv University Library, the Library and Archive of the International Institute of Social History in Am sterdam, the Heidelberg University Library, the Library of Gottingen University, the Tiibingen University Library, Frankfurt University Library, the State Library at Marburg, the Manuscript Department of the State Archives in Berlin. (shrink)

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 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)

This article presents a short reflection on the confluence between politics and pandemics as they are reflected in Israel in March and April 2020.

In his recent comment on my brief essay on concepts of God in this journal Peter Slater raises some pivotal questions that I feel obligated to answer.

Rabbinic literature contains several examples of a manner of silencing impious arguments that is usually identified only with later forms of piety, namely, ascribing the arguments to the evil inclination . Arguments attributed to the yetzer represent serious discursive threats against rabbinic doctrine, marking fundamental problems in both its legal and nonlegal parts. Identifying a question or refutation as belonging to the yetzer automatically invalidates it. By ascribing arguments to the yetzer , the rabbis prevent their audience from actually engaging (...) them, thus marking the limits of rabbinic dialogism. (shrink)

New modes of environmental regulation are said to have transcended the public/private divide. These new regulatory schemes - referred to as non-coercive orderings, self-regulation, co-regulation, metaregulation and social regulation - set aside the formal nature of the regulating entity, the regulated entity, and the tools of regulation. Instead of asking whether the means, objects and formulators of the regulation are public or private, the focus lies on the substance and effectiveness of the regulation in mitigating environmental harms. In this Article (...) we argue that despite these claims, often advanced by new governance proponents, the public/private divide in in fact alive and well, informing and impacting the ways in which various regulatory schemes are justified and legitimated. We exemplify this argument through an analysis of the role of three entities in international environmental regulation: the state, local governments, and civil society entities. This Article then suggests three consequences of the persistence of the public/private dichotomy and its denial: it produces a “tilt” towards the private; it tends to hide conflicts and disagreements, projecting an image of a frictionless world; and it prevents an imagination of a different world that transcends the structure of social life embedded in it. (shrink)

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)

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)

: 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)

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

ABSTRACTMost legal theorists and philosophers of law who work in the analytic tradition believe that intellectual progress in their fields necessarily means going ‘deeper’: coming up with more nuan...

Scaling of pattern with size has been described and studied for over a century, yet its molecular basis is understood in only a few cases. In a recent, elegant study, Inomata and colleagues proposed a new model explaining how bone morphogenic protein (BMP) activity gradient scales with embryo size in the early Xenopus laevis embryo. We discuss their results in conjunction with an alternative model we proposed previously. The expansion‐repression mechanism (ExR) provides a conceptual framework unifying both mechanisms. Results of (...) Inomata and colleagues implicate the chordin‐stabilizing protein sizzled as the expander molecule enabling scaling, while we attributed this role to the BMP ligand Admp. The two expanders may work in concert, as suggested by the mathematical model of Inomata et al. We discuss approaches for differentiating the contribution of sizzled and Admp to pattern scaling. (shrink)

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)