Dugundji proved in 1940 that most parts of standard modal systems cannot be characterized by a single finite deterministic matrix. In the eighties, Ivlev proposed a semantics of four-valued non-deterministic matrices (which he called quasi-matrices), in order to characterize a hierarchy of weak modal logics without the necessitation rule. In a previous paper, we extended some systems of Ivlev’s hierarchy, also proposing weaker six-valued systems in which the (T) axiom was replaced by the deontic (D) axiom. In this paper, we (...) propose even weaker systems, by eliminating both axioms, which are characterized by eight-valued non-deterministic matrices. In addition, we prove completeness for those new systems. It is natural to ask if a characterization by finite ordinary (deterministic) logical matrices would be possible for all those Ivlev-like systems. We will show that finite deterministic matrices do not characterize any of them. (shrink)

In this historical article, Newton da Costa discusses Francisco Miró Quesada’s philosophical ideas about logic. He discusses the topics of reason, logic, and action in Miró Quesada’s work, and in the final section he offers his critical view. In particular, he disagrees with Miró Quesada’s stance on the historicity of reason, for whom “reason is essentially absolute”, whereas for da Costa it “is being constructed in the course of history”. Da Costa concludes by emphasizing the importance of Miró Quesada’s (...) theory of logic and reason, despite it still being incomplete. -/- Historical article by Newton da Costa, annotated and translated by J. C. Cifuentes and L. F. Bartolo Alegre. (shrink)

The System of the World, Isaac Newton's first draft for the third volume of his classic work Philosophiae Naturalis Principia Mathematica (1687; Mathematical Principles of Natural Philosophy), is an important document in the history of science, using the principles of mechanics to construct the first complete scientific system on the workings of the universe in human history. -/- This book of 78 treatises briefly describes the principles established in the first two volumes of the Mathematical Principles of Natural Philosophy, (...) then applies these principles to the derivation of the actual orbits of the solar system and comets, laying out in layman's terms the universality of the law of gravitation and, from this, studying the shape of the earth, explaining the planetary precession and the tides of the oceans, probing the motion of the moon, and determining the orbits of comets. In this book, Newton does not construct abstract mathematical models, but analyses them in relation to astronomical phenomena, using only a small amount of mathematical language to explain these intriguing elements, making its content suitable for a general audience. -/- The appendices of this Chinese translation by Haixuan Pan(潘海璇) include Life of Sir Issac Newton by N. W. Chittenden, Newtonian Studies by Alexandre Koyré, which introduce Newton's life and main achievements, as well as the debates and evaluations of the main academic views of Newton by the leading philosophers and scientists of the time, and are important supplementary and reference materials when reading The System of the World. (shrink)

I argue that the key dynamical concepts and laws of Newton's Principia never gained a solid foothold in Germany before Kant in the 1750s. I explain this absence as due to Leibniz. Thus I make a case for a robust Leibnizian legacy for Enlightenment science, and I solve what Jonathan Israel called “a meaningful historical problem on its own,” viz. the slow and hesitant reception of Newton in pre-Kantian Germany.

This chapter looks at Euler’s relation to Newton, and at his role in the rise of ‘Newtonian’ mechanics. It aims to give a sense of Newton’s complicated legacy for Enlightenment science, and to raise awareness that some key ‘Newtonian’ results really come from Euler.

The Oxford Handbook of the History of Physics brings together cutting-edge writing by more than twenty leading authorities on the history of physics from the seventeenth century to the present day. By presenting a wide diversity of studies in a single volume, it provides authoritative introductions to scholarly contributions that have tended to be dispersed in journals and books not easily accessible to the general reader. While the core thread remains the theories and experimental practices of physics, the Handbook contains (...) chapters on other dimensions that have their place in any rounded history. These include the role of lecturing and textbooks in the communication of knowledge, the contribution of instrument-makers and instrument-making companies in providing for the needs of both research and lecture demonstrations, and the growing importance of the many interfaces between academic physics, industry, and the military. (shrink)

This essay explores the role of God’s omnipresence in Newton’s natural philosophy, with special emphasis placed on how God is related to space. Unlike Descartes’ conception, which denies the spatiality of God, or Gassendi and Charleton’s view, which regards God as completely whole in every part of space, it is argued that Newton accepts spatial extension as a basic aspect of God’s omnipresence. The historical background to Newton’s spatial ontology assumes a large part of our investigation, but (...) with attention also focused on the details of Newton’s unique approach to these traditional Scholastic conceptions. (shrink)

Newtons experimentum crucis hat ein komplementares Gegenstück, d.h. ein Experiment, in dem die Rollen von Licht und Schatten genau ausgetauscht sind. Statt wie Newton in der Dunkelkammer zu experimentieren, müssen wir das Komplement des experimentum crucis in einer Streulichtkammer aufbauen (deren Wände sog. Lambertstrahler sind). Wenn es dieses umgestülpte Experiment wirklich gibt, dann liefert es für jeden newtonischen Beweis einen umgestülpten Gegenbeweis, dessen Konklusion die Heterogenitat der Schatten wäre (also die Behauptung, dass nicht weißes Licht, sondern schwarze Schatten eine (...) heterogene Mischung verschiedenfarbiger Strahlen mit unterschiedlichen Brechungseigenschaften seien). Dass Newtons experimentum crucis in diesem Sinne umgestülpt werden kann, wird von Newtons eigener Theorie impliziert. Mehr noch, inzwischen ist der empirische Nachweis der Umstülpung gelungen. (shrink)

Newton published his deduction of universal gravity in Principia (first ed., 1687). To establish the universality (the particle-to-particle nature) of gravity, Newton must establish the additivity of mass. I call ‘additivity’ the property a body's quantity of matter has just in case, if gravitational force is proportional to that quantity, the force can be taken to be the sum of forces proportional to each particle's quantity of matter. Newton's argument for additivity is obscure. I analyze and assess (...) manuscript versions of Newton's initial argument within his initial deduction, dating from early 1685. Newton's strategy depends on distinguishing two quantities of matter, which I call ‘active’ and ‘passive’, by how they are measured. These measurement procedures frame conditions on the additivity of each quantity so measured. While Newton has direct evidence for the additivity of passive quantity of matter, he does not for that of the active quantity. Instead, he tries to infer the latter from the former via conceptual analyses of the third law of motion grounded largely on analogies to magnetic attractions. The conditions needed to establish passive additivity frustrate Newton's attempted inference to active additivity. (shrink)

When Newton articulated the concept of absolute time in his treatise, Philosophae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), along with its correlate, absolute space, he did not present it as anything controversial. Whereas his references to attraction are accompanied by the self- protective caveats that typically signal an expectation of censure, the Scholium following Principia’s definitions is free of such remarks, instead elaborating his ideas as clarifications of concepts that, in some manner, we already possess. This is (...) not surprising. The germ of the concept emerged naturally from astronomers’ findings, and variants of it had already been formulated by other seventeenth century thinkers. Thus the novelty of Newton’s absolute time lay mainly in the use to which he put it. (shrink)

Newton rested his theory of mechanics on distinct metaphysical and epistemological foundations. After Leibniz's death in 1716, the Principia ran into sharp philosophical opposition from Christian Wolff and his disciples, who sought to subvert Newton's foundations or replace them with Leibnizian ideas. In what follows, I chronicle some of the Wolffians' reactions to Newton's notion of absolute space, his dynamical laws of motion, and his general theory of gravitation. I also touch on arguments advanced by Newton's (...) Continental followers, such as Leonhard Euler, who made novel attempts to defend his mechanical foundations against the pro-Leibnizian attack. This examination grants us deeper insight into the fate of Newton's mechanics on the Continent during the early eighteenth century and, more specifically, sheds needed light on the conflicts and tensions that characterized the reception of Newton's philosophy of mechanics among the Leibnizians. (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)

This paper investigates Newton’s ontology of space in order to determine its commitment, if any, to both Cambridge neo-Platonism, which posits an incorporeal basis for space, and substantivalism, which regards space as a form of substance or entity. A non-substantivalist interpretation of Newton’s theory has been famously championed by Howard Stein and Robert DiSalle, among others, while both Stein and the early work of J. E. McGuire have downplayed the influence of Cambridge neo-Platonism on various aspects of (...) class='Hi'>Newton’s own spatial hypotheses. Both of these assertions will be shown to be problematic on various grounds, with special emphasis placed on Stein’s influential case for a non-substantivalist reading. Our analysis will strive, nonetheless, to reveal the unique or forward-looking aspects of Newton’s approach, most notably, his critical assessment of substance ontologies, that help to distinguish his theory of space from his neo-Platonic contemporaries and predecessors. (shrink)

Berkeley, Newton, Explanation, and Causation -/- I argue in this paper that Berkeley’s conception of natural law explanations, which echoes Newton’s, fails to solve a fundamental problem, which I label “explanatory asymmetry"; that the model of explanation Berkeley uses fails to distinguish between explanations and justifications, particularly since Berkeley denies real (efficient causes) in non-minded nature. At the end I suggest Berkeley might endorse a notion of understanding, say in astronomy or mechanics, which could be distinguished from explanation.

This article investigates the relationship between Hume’s causal philosophy and Newton ’s philosophy of nature. I claim that Newton ’s experimentalist methodology in gravity research is an important background for understanding Hume’s conception of causality: Hume sees the relation of cause and effect as not being founded on a priori reasoning, similar to the way that Newton criticized non - empirical hypotheses about the properties of gravity. However, according to Hume’s criteria of causal inference, the law of (...) universal gravitation is not a complete causal law, since it does not include a reference either to contiguity or to temporal priority. It is still argued that because of the empirical success of Newton ’s theory—the law is a statement of an exceptionless repetition—Hume gives his support to it in interpreting gravity force instrumentally as if it bore a causal relation to motion. (shrink)

This paper investigates the question of, and the degree to which, Newton’s theory of space constitutes a third-way between the traditional substantivalist and relationist ontologies, i.e., that Newton judged that space is neither a type of substance/entity nor purely a relation among such substances. A non-substantivalist reading of Newton has been famously defended by Howard Stein, among others; but, as will be demonstrated, these claims are problematic on various grounds, especially as regards Newton’s alleged rejection of (...) the traditional substance/accident dichotomy concerning space. Nevertheless, our analysis of the metaphysical foundations of Newton’s spatial theory will strive to uncover its unique and innovative characteristics, most notably, the distinctive role that Newton’s “immaterialist” spatial ontology plays in his dynamics. (shrink)

The Black Panther Party was founded to bridge the radical theorizing that swept college campuses in the mid-1960s and the lumpen proletariat abandoned by the so-called ‘Great Society’. However, shortly thereafter, Newton began to harshly criticize the academic Left in general for their drive to find ‘a set of actions and a set of principles that are easy to identify and are absolute.’ This article reconstructs Newton’s critique of progressive movements grounded primarily in academic debates, as well as (...) his conception of vanguard political theory. Newton’s grasp of revolution as a gradual, open, and above all dialectical process, not only provides a corrective to many dominant academic accounts of the nature of progressive change but, more importantly, it also grounds an emancipatory philosophy that can direct collective struggle, precisely because it remains grounded in the imperfect and internally conflicted lives of those whose freedom is to be won through it. (shrink)

This article investigates the problem of the identity of the parts of space in Newton’s natural philosophy, as well as the holistic or structuralist nature of Newton’s ontology of space. Additionally, this article relates the lessons reached in this historical and philosophical investigation to analogous debates in contemporary space-time ontology. While previous contributions, by Nerlich, Huggett, and others, have proven to be informative in evaluating Newton’s claims, it will be argued that the underlying goals of Newton’s (...) views have largely eluded prior analysis and that Newton’s approach is similar, and lends support, to several current structuralist trends in the conception of space-time ontology. (shrink)

Als Goethe in seiner monumentalen Farbenlehre einen Angriff auf Newtons Theorie des Lichts und der Farben lancierte, setzte er eine Methode ein, die er als Vermannigfachung der Erfahrungen bezeichnete: Er variierte verschiedene Parameter der newtonischen Experimente, um neuen Spielraum für Alternativen zur Theorie Newtons zu gewinnen. Dabei erzielte er durchaus Erfolge. U.a. entdeckte er das Komplement zum newtonischen Spektrum (das aussieht wie dessen Farbnegativ und durch Vertauschung der Rollen von Licht und Finsternis entsteht). Kürzlich hat der Wiener Maler Ingo Nussbaumer (...) Goethes Methode kongenial fortgeführt. Dabei hat er sechs weitere Farbspektren entdeckt. Sie entstehen, wenn man anstelle des Hell/Dunkel-Kontrasts (in Newtons und Goethes Experimenten) mit Paaren bunter Komplementärfarben arbeitet. Die neuen Farbspektren sehen genauso differenziert aus wie Newtons und Goethes Spektrum; doch anders als diese enthalten sie die unbunten "Farben" Schwarz und Weiß. Die vielfältigen Ordnungsbeziehungen und Symmetrien, die Ingo Nussbaumer in der Farbenwelt der insgesamt acht Spektren ausgemacht hat, verhelfen uns vielleicht zu einem tieferen Verständnis der Prinzipien menschlicher Farbwahrnehmung. Und sie tauchen die überkommenen Prinzipien der additiven und der subtraktiven Farbmischung in neues Licht. (shrink)

We may distinguish two interpretations of the relation between Newton’s natural philosophy and Hume’s science of human nature. The first interpretation can be called ‘traditional,’ the second ‘critical.’ This article will not side with either readings of Hume’s Newtonianism (or with some middle positions). Instead, essential points of confluence and divergence will be discussed.

In this article, I channel the autobiography of Black Panther cofounder Huey P. Newton, entitled Revolutionary Suicide, against the misogyny of the alt-right movement today. Both Newton and the alt-right have been powerfully influenced by Nietzsche, but one way of grasping the central difference between them is by comparing their conceptions of Dionysus. While the alt-right sticks closer to Nietzsche’s conception, which minimizes the god’s androgyny, Newton’s thought resonates with that androgyny, thereby bringing him closer to the (...) most influential Dionysus scholar since Nietzsche, Walter Otto. I therefore turn to the latter’s Dionysus: Myth and Cult, whose analyses I synthesize into the following image inspired by the god’s closest animal familiar: the dancingly-graceful panther as aqueous-androgynous soul-hunter. Reimagining Newton’s Black Panther in this way, finally, can help us overcome the alt-right. (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)

How does Newton approach the challenge of mechanizing gravity and, more broadly, natural philosophy? By adopting the simple machine tradition’s mathematical approach to a system’s co-varying parameters of change, he retains natural philosophy’s traditional goal while specifying it in a novel way as the search for impressed forces. He accordingly understands the physical world as a divinely created machine possessing intrinsically mathematical features, and mathematical methods as capable of identifying its real features. The gravitational force’s physical cause remains an (...) outstanding problem, however, as evidenced by Newton’s onetime reference to active principles as the “genuine principles of the mechanical philosophy”. (shrink)

We investigate the structure common to causal theories that attempt to explain a (part of) the world. Causality implies conservation of identity, itself a far from simple notion. It imposes strong demands on the universalizing power of the theories concerned. These demands are often met by the introduction of a metalevel which encompasses the notions of 'system' and 'lawful behaviour'. In classical mechanics, the division between universal and particular leaves its traces in the separate treatment of cinematics and dynamics. This (...) analysis is applied to the mechanical theories of Newton and Leibniz, with some surprising results. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Newton's Metaphysics: Essays by Eric SchliesserMarius StanEric Schliesser. Newton's Metaphysics: Essays. Oxford: Oxford University Press, 2021. Pp. 328. Hardback, $99.90.Newton owes his high regard to the quantitative science he left us, but his overall picture of the world had some robustly metaphysical threads woven in as well. Posthumous judgment about the value of these threads has varied wildly. Christian Wolff thought him a metaphysical rustic, (...) as did Hans Reichenbach some two centuries later ("Die Bewegungslehre bei Newton, Leibniz und Huygens," Kant-Studien 29 [1924]: 416–38). In the 1960s, the tide would turn, as Howard Stein and James Edward McGuire separately began to show that Newton's metaphysics was not just sophisticated, but often more compelling than its early modern alternatives (see respectively "Newtonian Spacetime," Texas Quarterly 10 [1967]: 174–200; and Tradition and Innovation: Newton's Metaphysics of Nature [Dordrecht: Kluwer Academic Publishers, 1995]). Eric Schliesser's book unfolds in that same register of appreciative, high scholarship, and it attests to the enduring attraction of its subject.The book grew out of previous discrete papers, to which he added a few more for this occasion. Accordingly, it does not come with a master argument. Rather, it is an in-depth exploration of some key metaphysical themes in Newton. As such, it befits its subject figure, who reflected on themes and concepts while stopping short of working out systems.The first major theme is Newton and Spinozism. The latter does not denote Spinoza's metaphysics. In fact, Schliesser explains, Newton shared with Spinoza some weighty commitments, for example, to space being actually infinite, and to substance monism: "for Newton, there is strictly speaking only one genuine substance," namely, God (33). Rather, "Spinozism" is an interpreter's category for a bundle of three theses: identifying God and nature; denying final causation in the physical world; and the assumption of "blind" metaphysical necessity. Some counted Hobbes and John Toland as Spinozist in this sense, and even Epicurus, avant la lettre. Newton and his followers argued vehemently against this package, as Schliesser shows in chapters 4, 5, and 8. Their chief complaint was that Spinozism is unable to account for the "origin of motion," for a certain type of order, and for the stability of cosmological structure—and to do so in a way that "meets the standards of Newtonian mechanics" (122). This interpretive lens allows Schliesser to draw Kant in, by reading his youthful Theory of Heaven as a possible Spinozist reply to their objections (chapter 3). [End Page 157]A second theme is the metaphysics of mechanics, where Schliesser weaves together several strands. One is the ontology of gravity, for which he offers a novel construal: for Newton, gravity counts as real, but in a qualified sense. Namely, it is not essential and not intrinsic: "even after creation, a lonely partless particle of matter in the universe would not be said to gravitate." And gravity is relational: a "shared quality" of two or more bits of matter, which obtains in virtue of their sharing a nature (19). Another strand is Newton's ontology of time—really, a subtle, difficult topic long neglected. Famously, Newton in Principia defends absolute, true, and mathematical time. The question is what these three qualifiers denote, and whether Newton thought they were synonymous. Schliesser in chapter 7 argues for the provocative view that "absolute" and "true" time are not identical concepts; rather, they pick out different entities. These entities share a common structure, namely, metric and topological. That makes them species of "mathematical" time (179). But, Schliesser contends, Newton has unequal warrant for his two concepts of time.Yet another theme is formal causation. It comes to the fore in chapter 5, which grapples with Newton's opaque idea that space is an "emanative effect." Schliesser explains that here, "emanation picks out a species of formal causation" (147), but in a novel, early modern sense that comes from Bacon, not Aristotle. If space has a formal cause, then so has its twin brother, time, the topic of chapter 7. God is their common formal cause. Then in chapter 6 (coauthored with Zvi Biener) Schliesser adds that, for Newton, laws... (shrink)

Anhand der genaueren Analyse von Newtons experimentum crucis und der Argumentation, die er auf dieses Experiment stützt, sowie Goethes Kritik hieran sollen im Folgenden zwei verbreitete Vorurteile revidiert werden: -/- 1. Newton ist kein Dogmatiker, der methodische Ansprüche vertritt, die er nicht einlösen kann, sondern gründet seinen Anspruch, experimentelle Beweise führen zu können, auf einer vorbildlichen Methodologie kausaler Erklärungen, was seine Kritiker allerdings übersehen. 2. Goethe ist kein Antiwissenschaftler, der einen einzigartigen Kontrapunkt zur vorherrschenden wissenschaftlichen Tradition bildet, sondern steht (...) inmitten traditioneller Auffassungen zur Farbenlehre, deren experimentelle und methodologische Grundlagen bezüglich eines Erklärungsanspruches denen Newtons unterlegen sind. (shrink)

In this paper, I discuss how Newton’s inductive argument of the Principia can be defended against criticisms levelled against it by Duhem, Popper and myself. I argue that Duhem’s and Popper’s criticisms can be countered, but mine cannot. It requires that we reconsider, not just Newton’s inductive argument in the Principia, but also the nature of science more generally. The methods of science, whether conceived along inductivist or hypothetico-deductivist lines, make implicit metaphysical presuppositions which rigour requires we make (...) explicit within science so that they can be critically assessed, alternatives being developed and assessed, in the hope that they can be improved. Despite claiming to derive his law of gravitation by induction from phenomena without resource to hypotheses, Newton does nevertheless acknowledge in the Principia that his rules of reasoning make metaphysical presuppositions. To this extent, Newton has a more enlightened view of scientific method than most 20th and 21st century scientists and historians and philosophers of science. (shrink)

Essay review of William R. Newman: Newton the alchemist: science, enigma, and the quest for nature’s “secret fire.” Princeton: Princeton University Press, 2019, 560 pp, $39.95.

In a 2004 paper, “Hume’s Missing Shade of Blue Reconsidered from a Newtonian Perspective,” Eric Schliesser argues that Hume’s well-known discussion of the missing shade of blue “reveals considerable ignorance of Newton’s achievement in optics,” and that Hume has failed to assimilate the lessons taught by Newton’s optical experiments. I argue in this paper, contrary to Schliesser, that Hume’s views on color are logically and evidentially independent of Newton’s results. In developing my reading, I will argue that (...) Schliesser accepts an overly broad interpretation of the implications of Newton’s experimental results, and takes inadequate account of Hume’s disciplined methodological restrictions on the kinds of experiential evidence that are to be admitted in building the foundations of his science of human nature. (shrink)

The regularity in social relations is deduced on the base of natural human reactions. The regularity is similar to the Newton’s Third Law. The new approach to phenomenon and definition of violence is offered as a consequence of the discovered regularity. Violence is considered as an action with an object without consent of the owner. It is shown that a person herself is responsible for significant part of violence against her, namely for the violence which is just reaction for (...) her own violence. The regularity of deliberate rejection of violence in society in historical perspective is proved. (shrink)

Interpretarea textelor lui Isaac Newton a suscitat numeroase controverse, până în zilele noastre. Una din cele mai aprinse dezbateri este legată de acțiunea între două corpuri aflate la distanță unul de celălalt (atracția gravitațională), și în ce măsură Newton a implicat pe Dumnezeu în acest caz. Practic, majoritatea lucrărilor discută patru tipuri de atracții gravitaționale în cazul corpurilor aflate la distanță: acțiunea la distanță directă ca proprietate intrinsecă a corpurilor în sens epicurian; acțiunea la distanță directă mediată divin, (...) de Dumnezeu; acțiunea la distanță mediată printr-un eter material; sau acțiunea la distanță mediată printr-un eter imaterial. Scopul acestei lucrări este argumentarea opiniei proprii conform căreia Newton a refuzat categoric tipurile de acțiune directă ca proprietate intrinsecă a corpurilor, și acțiunea la distanță mediată printr-un eter material. În ceea ce privește celelalte două tipuri de acțiune, directă prin intervenție divină și mediată printr-un mediu imaterial, Newton a declarat în mai multe rânduri că nu cunoaște cauza exactă a gravitației, dar în amândouă cazuri a implicat pe Dumnezeu, în mod direct în primul caz și ca fiind cauza primară (mediul/eterul fiind cauza secundară) în acțiunea mediată imaterial. Însă, întrucât o recunoaștere a acțiunii directe la distanță ar fi putut da oarecare credit celor care considerau că gravitația poate fi esențială pentru materie, și în consecință ateismului, Newton nu a recunoscut niciodată în mod deschis acceptarea posibilității unei astfel de idei. Spre finele vieții, Newton a înclinat mai mult spre o acțiune la distanță mediată de un eter imaterial. -/- DOI: 10.58679/TW52523. (shrink)

L'une des controverses les disputées sur la priorité des découvertes scientifiques est celle de la loi de la gravitation universelle, entre Isaac Newton et Robert Hooke. Hooke a accusé Newton de plagiat, de reprendre ses idées exprimées dans des travaux antérieurs. J'essaie de montrer, sur la base d'une analyse précédente, que tous les deux scientifiques avaient tort: Robert Hooke parce que sa théorie n'était fondamentalement que des idées qui ne se seraient jamais matérialisées sans l'appui mathématique d'Isaac (...) class='Hi'>Newton; et ce dernier avait tort de ne pas reconnaître les idées de Hooke dans l'élaboration de la théorie de la gravité. En outre, après la mort de Hooke et son accession à la présidence de la Royal Society, Newton a retiré de l'institution toute trace de l'ancien président Robert Hooke. Pour cela, je détaille les accusations et les arguments de chacune des parties, et comment ce différend a été perçu par les contemporains des deux scientifiques. Je termine le papier avec les conclusions tirées du contenu. -/- TABLE: -/- Abstract Introduction La contribution de Robert Hooke à la loi de la gravitation universelle La contribution d'Isaac Newton à la loi de la gravitation universelle La revendication de priorité de Robert Hooke sur la loi de la gravitation universelle La défense de Newton La controverse dans l'opinion des scientifiques contemporains Ce que disent les supporters d'Isaac Newton Ce que disent les supporters de Robert Hooke Conclusions Bibliographie Notes -/- DOI: 10.13140/RG.2.2.20313.06245. (shrink)

Goethe carried out an enormous number of experiments before criticizing Newton's theory of light and colours in the Farbenlehre (1810). He managed to show that Newton's reasoning is based on a rather narrow choice of experiments, in which parameters such as the distance between the prism and the screen are fixed arbitrarily: Newton's famous spectrum (with its green centre) occurs only at a specific distance. Once you reduce the distance, the green centre disappears, and you see the (...) two border spectra instead. Newton can of course explain these border spectra; but things can be explained just as well the other way around: Then you start with a theory based on the two border spectra in order to derive the Newtonian spectrum. Both accounts fit many data (available in Newton and Goethe's days) equally well. Thus by insisting that the step to theory is not forced upon us by "reason and experiments" alone (as Newton would have it), Goethe revealed our own free, creative contribution to theory construction. And surprisingly, his theory of the prismatic colours seems no worse off than Newton's, even taking into account additional criteria of theory choice, such as simplicity or elegance. (shrink)

A significant thread in Boris Hessen‟s iconic essay, The Social and Economic Roots of Newton’s Principia (1931), is his critique of Newton‟s involving God in his physics. Contra Newton, Hessen believes that nature does not need God in order to function properly. Hessen gives two, quite distinct, „internal‟ explanations of Newton‟s failure to see this. The first explanation is that Newton‟s failure is caused by his believing that motion is a mode instead of an attribute (...) or essence of matter. The second explanation is that Newton‟s failure is owed to his considering mechanical motion as the sole form of the motion of matter: Newton, in Hessen‟s view, did not realize that matter has many forms of motion which constantly transform into one another while conserving energy. In the present paper, I defend the thesis that none of these explanations can account for Newton‟s failure. Hessen‟s first explanation is problematic because even if Newton believed that motion is an attribute or essence of matter, he would still be obliged to involve God in physics. His second explanation fails too because he does not show exactly how the multiplicity and inter-transformation of forms of motion can account for nature‟s organizational structure. (shrink)

One of the most disputed controversy over the priority of scientific discoveries is that of the law of universal gravitation, between Isaac Newton and Robert Hooke. Hooke accused Newton of plagiarism, of taking over his ideas expressed in previous works. In this paper I try to show, on the basis of previous analysis, that both scientists were wrong: Robert Hooke because his theory was basically only ideas that would never have materialized without Isaac Newton's mathematical support; and (...) the latter was wrong by not recognizing Hooke's ideas in drawing up the theory of gravity. Moreover, after Hooke's death and taking over the Royal Society presidency, Newton removed from the institution any trace of the former president Robert Hooke. For this, I detail the accusations and arguments of each of the parts, and how this dispute was perceived by the contemporaries of the two scientists. I finish the paper with the conclusions drawn from the contents. -/- Keywords: Isaac Newton, Robert Hooke, law of gravity, priority, plagiarism -/- CONTENTS -/- Abstract Introduction Robert Hooke's contribution to the law of universal gravitation Isaac Newton's contribution to the law of universal gravitation Robert Hooke's claim of his priority on the law of universal gravitation Newton's defense The controversy in the opinion of other contemporary scientists What the supporters of Isaac Newton say What the supporters of Robert Hooke say Conclusions Bibliography -/- DOI: 10.13140/RG.2.2.19370.26567 . (shrink)

As John Henry states, Newton simply wants to reaffirm the truth of God's omnipresence without directly involving him in the physics of the world system. Newton simply wants to distance himself from a Cartesian concept of God and convince the atheists that God is a real presence extended in the world. God must exist in space for the space to exist, but God does not only act through contact. Henry believes that Andrew Janiak and Hylarie Kochiras give us (...) a wrong picture of a Newton who believes in opportunism. Newton, Henry asserts, has always assumed that God acted through secondary causes: DOI: 10.13140/RG.2.2.35495.39846. (shrink)

Interpretarea textelor lui Isaac Newton a suscitat numeroase controverse, până în zilele noastre. Una din cele mai aprinse dezbateri este legată de acțiunea între două corpuri aflate la distanță unul de celălalt (atracția gravitațională), și în ce măsură Newton a implicat pe Dumnezeu în acest caz. Practic, majoritatea lucrărilor discută patru tipuri de atracții gravitaționale în cazul corpurilor aflate la distanță: acțiunea la distanță directă ca proprietate intrinsecă a corpurilor în sens epicurian; acțiunea la distanță directă mediată divin, (...) de Dumnezeu; acțiunea la distanță mediată printr-un eter material; sau acțiunea la distanță mediată printr-un eter imaterial. DOI: 10.13140/RG.2.2.33372.03203. (shrink)

L'interprétation des textes d'Isaac Newton a suscité une controverse à ce jour. L'un des débats les plus animés a trait à l'action entre deux corps distants l'un de l'autre (l'attraction gravitationnelle), et à la mesure dans laquelle Newton a impliqué Dieu dans ce cas. Pratiquement, la plupart des articles traitent quatre types d’attractions gravitationnelles dans le cas des corps distants : l’action directe à la distance en tant que propriété intrinsèque des corps au sens épicurien du terme ; (...) action directe à distance divinement médiée par Dieu ; action à distance médiée par un éther matériel ; ou action à distance médiée par un éther immatériel. Le but de cet article est d'argumenter que Newton a catégoriquement rejeté les types d'action directe en tant que propriété intrinsèque des corps et l'action à distance médiée par un éther matériel. En ce qui concerne les deux autres types d’actions, directe par intervention divine et médiatisée par un environnement immatériel, Newton a répété à plusieurs reprises qu’il ne connaissait pas la cause exacte de la gravité, mais dans les deux cas, il avait directement impliqué Dieu, directement dans le premier cas. et comme cause principale (l'environnement/éther étant la cause secondaire) dans l'action médiatisée immatérielle. Mais comme la reconnaissance de l'action directe à distance aurait pu donner quelque crédit à ceux qui pensaient que la gravité pouvait être essentielle à la matière, et donc à l'athéisme, Newton n'a jamais ouvertement reconnu la possibilité d'une telle idée. Vers la fin de sa vie, Newton s'est penché davantage vers une action à distance médiée par un éther immatériel. -/- SOMMAIRE: -/- Abstract Introduction Principia Correspondance avec Richard Bentley Questions de l'Opticks Conclusions Bibliographie -/- DOI: 10.13140/RG.2.2.31322.70080 . (shrink)

A presentation of Hooke’s 1674 monograph introducing the idea of universal gravity was included in the Philosophical Transactions (Royal Society 1775) and subsequently several letters containing observations, including one of Huygens. But obviously, after the publication of Principia in 1687, Hooke’s priority in proposing universal gravitation was forgotten. Hooke, considered as a “mechanical genius” rather than a scientist, was often at a social disadvantage to Newton, the noble theorist, or Huygens. Hooke’s inferior social status did not allow him to (...) identify with “free and unconfin’d” gentlemen such as Boyle, for example. DOI: 10.13140/RG.2.2.13746.45763. (shrink)

The interpretation of Isaac Newton's texts has sparked controversy to this day. One of the most heated debates relates to the action between two bodies distant from each other (the gravitational attraction), and to what extent Newton involved God in this case. Practically, most of the papers discuss four types of gravitational attractions in the case of remote bodies: direct distance action as intrinsic property of bodies in epicurean sense; direct remote action divinely mediated by God; remote action (...) mediated by a material ether; or remote action mediated by an immaterial ether. The purpose of this paper is to argue that Newton categorically rejected the types of direct action as the intrinsic property of bodies, and remote action mediated by a material ether. Concerning the other two types of action, direct through divine intervention and mediated through an immaterial environment, Newton has repeatedly stated that he does not know the exact cause of gravity, but in both cases, he has directly involved God, directly in the first case and as the primary cause (the environment/ether being the secondary cause) in immaterial mediated action. But since recognition of direct distance action could have given some credit to those who thought gravity could be essential to matter, and hence to atheism, Newton never openly acknowledged the possibility of such an idea. -/- Keywords: Isaac Newton, action at a distance, God, gravity, gravity law, gravitation -/- CONTENTS -/- Abstract Introduction Principia Correspondence with Richard Bentley Queries in Opticks Conclusions Bibliography -/- ISBN 978-606-033-201-5, DOI: 10.58679/TW14959. (shrink)

Huey P. Newton, founder of the Black Panther Party, is perhaps one of the most interesting and intriguing American intellectuals from the last half of the 20th century. Newton’s genius rested in his ability to amalgamate and synthesize others’ thinking, and then reinterpreting and making it relevant to the situation that existed in the United States in his time, particularly for African-Americans in the densely populated urban centers in the North and West. Newton saw himself continuing the (...) Marxist-Leninist tradition and one of the most important aspects of his thought was his reinterpretation of Marxist class structure. This paper presents Newton’s position that it is the urban poor—who Newton identifies with the lumpenproletariat—that act as the revolutionary class that will bring about a change in the socio-economic order. To that end, there is first a discussion of Newton’s view of the lumpenproletariat and how it differs from the traditional Marxist understanding. Then there is an explanation of the role of the vanguard and its relationship to the lumpenproletariat. The paper concludes with a comparison of Frantz Fanon’s and Newton’s understanding of the lumpenproletariat, and responds to the “problem of lumpenization” in the Black Panther Party. (shrink)

ONE of the most celebrated mathematical physicists, Pierre-Simon Laplace is often remembered as the mathematician who showed that despite appearances, the Solar System does conform to Newton’s theories. Together with distinguished scholars Robert Fox and Ivor Grattan-Guinness, Charles Gillispie gives us a new perspective, showing that Laplace did not merely vindicate Newton’s system, but had a uniquely creative and independent mind.

I examine Du Châtelet’s methodology for physics and metaphysics through the lens of her engagement with Newton’s Rules for Reasoning in Natural Philosophy. I first show that her early manuscript writings discuss and endorse these Rules. Then, I argue that her famous published account of hypotheses continues to invoke close analogues of Rules 3 and 4, despite various developments in her position. Once relevant experimental evidence and some basic constraints are met, it is legitimate to inductively generalize from observations; (...) general hypotheses can thereafter be assumed as true until contrary experiments show otherwise. I conclude by arguing that this account of induction plays an essential role in her metaphysics, both in an argument for simple substances—which has an inductive premise—and in her attempt to distinguish acceptable and unacceptable metaphysical commitments. (shrink)

Isaac Newton, in popular imagination the Ur-scientist, was an outstanding humanist scholar. His researches on, among others, ancient philosophy, are thorough and appear to be connected to and fit within his larger philosophical and theological agenda. It is therefore relevant to take a closer look at Newton’s intellectual choices, at how and why precisely he would occupy himself with specific text-sources, and how this interest fits into the larger picture of his scientific and intellectual endeavours. In what follows, (...) we shall follow Newton into his study and look over his shoulder while reading compendia and original source-texts in his personal library at Cambridge, meticulously investigating and comparing fragments and commentaries, and carefully keeping track in private notes of how they support his own developing ideas. Indeed, Newton was convinced that precursors to his own insights and discoveries were present already in Antiquity, even before the Greeks, in ancient Egypt, and he puts a lot of time and effort into making the point, especially, and not incidentially, in the period between the first and the second edition of the Principia. A clear understanding of his reading of the classic sources therefore matters to our understanding of its content and gestation process. In what follows we will confine ourselves to the classical legacy, and investigate Newton’s intellectual intercourse with it. (shrink)

Attempts to ‘naturalize’ phenomenology challenge both traditional phenomenology and traditional approaches to cognitive science. They challenge Edmund Husserl’s rejection of naturalism and his attempt to establish phenomenology as a foundational transcendental discipline, and they challenge efforts to explain cognition through mainstream science. While appearing to be a retreat from the bold claims made for phenomenology, it is really its triumph. Naturalized phenomenology is spearheading a successful challenge to the heritage of Cartesian dualism. This converges with the reaction against Cartesian thought (...) within science itself. Descartes divided the universe between res cogitans, thinking substances, and res extensa, the mechanical world. The latter won with Newton and we have, in most of objective science since, literally lost our mind, hence our humanity. Despite Darwin, biologists remain children of Newton, and dream of a grand theory that is epistemologically complete and would allow lawful entailment of the evolution of the biosphere. This dream is no longer tenable. We now have to recognize that science and scientists are within and part of the world we are striving to comprehend, as proponents of endophysics have argued, and that physics, biology and mathematics have to be reconceived accordingly. Interpreting quantum mechanics from this perspective is shown to both illuminate conscious experience and reveal new paths for its further development. In biology we must now justify the use of the word “function”. As we shall see, we cannot prestate the ever new biological functions that arise and constitute the very phase space of evolution. Hence, we cannot mathematize the detailed becoming of the biosphere, nor write differential equations for functional variables we do not know ahead of time, nor integrate those equations, so no laws “entail” evolution. The dream of a grand theory fails. In place of entailing laws, a post-entailing law explanatory framework is proposed in which Actuals arise in evolution that constitute new boundary conditions that are enabling constraints that create new, typically unprestatable, Adjacent Possible opportunities for further evolution, in which new Actuals arise, in a persistent becoming. Evolution flows into a typically unprestatable succession of Adjacent Possibles. Given the concept of function, the concept of functional closure of an organism making a living in its world, becomes central. Implications for patterns in evolution include historical reconstruction, and statistical laws such as the distribution of extinction events, or species per genus, and the use of formal cause, not efficient cause, laws. (shrink)