Isaac Newton

Transandantal Estetik, her ne kadar Kant’ın eleştirel felsefesi için oldukça önemli görünse de Cassirer ve Guyer gibi bazı yorumcular tarafından başarısız görülmüştür. Cassirer’e göre Transandantal Estetikteki argümanlar savunulamaz ve Kant’ın eleştiri öncesi dönemine ait bir kalıntı olarak görülmelidir, öyle ki bu bölümdeki argümanlar Kant’ın esas ve olgun öğretisiyle uyumsuzdur. Guyer’e göre de Metafiziksel Açımlama başarısızdır; bu kısımdaki argümanların hiçbiri Kant’ın savunmak istediği sonucu türetmek bakımından işe yaramaz. Kant’ın savunmak istediği sonuç şudur: zaman ve mekânın kaynağı insan zihnidir, dolayısıyla kendinde şeyler (...) zaman ve mekândan münezzehtir; gene de zaman ve mekân empirik olarak gerçektir, yani bütün empirik var olanlar veya görünüşler açısından gerçek veya geçerlidir. Bu makalede ise Transandantal Estetiğin başarılı bir pozisyonu savunduğu iddia edilmektedir. Buna göre Kant Metafiziksel Açımlamada zaman ve mekânın a priori görüler ve duyarlığın saf formları olduğunu tanıtlamıştır; öyleyse bunlar insan zihni tarafından kaynaklanmaktadır. Ayrıca Kant zamanın ve mekânın transandantal olarak gerçek olduğunu savunan Newton’un görüşü ile bunların empirik olarak ideal olduğunu savunan Leibniz’in görüşünü başarıyla çürütmüştür; dolayısıyla elimizde kalan tek savunulabilir görüş bunların transandantal olarak ideal empirik olarak gerçek olduğudur. Ayrıca bu makalede Guyer’in Metafizik Açımlama yerine Transandantal Açımlamaya yatırım yapıp onu yeniden inşa eden “geometriden hareketle argüman”ının stratejisi eleştirilmiştir. Guyer’a göre Kant Öklidyen geometrinin de re zorunluluğunu savunmuş, buradan ise kendinde şeylerin zamansız ve mekânsız olduğu önermesini türetmiştir. Bu makalede Guyer’in bu alternatif stratejisinin çalışmadığı gösterilmektedir. Guyer’in iddia ettiğinin aksine, Kant geometrinin apodeiktikliğinden bahsederken, göz önünde bulundurduğu şey geometrik nesneler değil önermelerdir. (shrink)

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)

Cover Philosophical Mechanics in the Age of Reason Katherine Brading and Marius Stan Description From pebbles to planets, tigers to tables, pine trees to people; animate and inanimate, natural and artificial; bodies are everywhere. Bodies populate the world, acting and interacting with one another, and they are the subject-matter of Newton's laws of motion. But what is a body? And how can we know how they behave? In Philosophical Mechanics in the Age of Reason, Katherine Brading and Marius Stan examine (...) the struggle for a theory of bodies. -/- At the beginning of the 18th century, physics was the branch of philosophy that studied bodies in general. Its primary task was to provide a qualitative account of the nature of bodies, including their essential properties, causal powers, and generic behaviors. Pursued by a variety of figures both canonical (from Leibniz to Kant) and less familiar (from Du Châtelet and Euler to d'Alembert and Lagrange), this proved a difficult task. At stake were the appropriate epistemologies and methods for theorizing about the natural world. Solutions demanded the combined resources of philosophy, physics, and mechanics: what Brading and Stan call a “philosophical mechanics.” -/- Brading and Stan analyze a century of widespread, concerted efforts to solve “the problem of bodies,” they examine the consequences of the many failures, both for the problem itself and for philosophy more generally. They reveal relationships among disparate themes of 18th century physics and philosophy, from the nature of matter to the motion of a vibrating string; causation to the principle of least action; and the role of subtle matter in collision theory to analytic mechanics. All of these, Brading and Stan argue, are related to the eventual emergence of physics as an independent discipline, autonomous from philosophy, more than a century after Newton's Principia. This book provides a new framing of natural philosophy and its transformations in the Enlightenment; and it proposes an account of how physics and philosophy evolved into distinct fields of inquiry. (shrink)

Newton’s First Law of Motion is typically understood to govern only the motion of force-free bodies. This paper argues on textual and conceptual grounds that it is in fact a stronger, more general principle. The First Law limits the extent to which any body can change its state of motion –– even if that body is subject to impressed forces. The misunderstanding can be traced back to an error in the first English translation of Newton’s Principia, which was published a (...) few years after Newton’s death. (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)

Early modern foundations for mechanics came in two kinds, nomic and material. I examine here the dynamical laws and pictures of matter given respectively by Newton, Leibniz, and Kant. I argue that they fall short of their foundational task, viz. to represent enough kinematic behavior; or at least to explain it. In effect, for the true foundations of classical mechanics we must look beyond Newton, Leibniz, and Kant.

Much scholarship has claimed the physics of Emilie du Châtelet’s treatise, Institutions de physique, is Newtonian. I argue against that idea. To do so, I distinguish three strands of meaning for the category ‘Newtonian science,’ and I examine her book against them. I conclude that her physics is not Newtonian in any useful or informative sense. To capture what is specific about it, we need better interpretive categories.

En este artículo describo la forma de trabajar de Newton ante los textos descubiertos en la segunda mitad del siglo xx. Tradicionalmente se ha asociado a Newton con la metodología cartesiana, sin embargo, esto es una equivocación cronológica. Si bien la mecánica clásica es posible identificarla con el mecanicismo y también con el mecanicismo cartesiano, el sistema que desarrolla Newton tiene otros objetivos. El más importante es probar la magnificencia de Dios. Considero que los objetivos y la metodología de Newton (...) son exactamente lo opuesto a Descartes, ya que para Descartes la ciencia parte de los principios a priori, mientras que Newton considera que la ciencia parte de la experimentación. (shrink)

El campo interpretativo sobre la obra de Newton ha sido ampliamente discutido y, particularmente, el tema de las hipótesis no ha sido la excepción. El objetivo de este texto es mostrar que la filosofía natural de Newton pareciera, en principio, rechazar la hipótesis, pero en realidad no es opuesta a la formulación de estas, si diferenciamos a qué tipo de hipótesis se hace referencia. Así pues, se muestra, en primer lugar, cómo desarrolla Newton su filosofía natural, y cómo es contrapuesta (...) a las hipótesis. Luego se muestra que bajo condiciones determinadas las hipótesis son aceptadas. Y, por consiguiente, se concluye que la filosofía de Newton no rechaza radicalmente las hipótesis, sino que, por el contrario, se puede valer de su formulación para el progreso de la investigación científica, dependiendo a qué tipo de hipótesis se haga referencia. (shrink)

En este artículo expongo las críticas que presenta George Berkeley, filósofo y Obispo de Cloyne, a la noción de fluxón que Newton introduce en su desarrollo delcálculo fluxional. En su propuesta Isaac Newton considera que se puede hablar dedos tipos de puntos: los puntos sin dimensiones y aquellos que surgen del movimiento y que pueden tener alguna clase de medida/magnitud/métrica, es gracias a la existencia de estos últimos que Newton puede realizar el cálculo de la fluxión aun cuando al final (...) del procedimiento, vuelva a considerarlo como un punto sin dimensiones. Una vez expuesta la propuesta de Newton sobre las fluxiones,presentaré la crítica de Berkeley a diversos elementos tanto conceptuales como metodológicos del trabajo de su predecesor, Finalmente ofreceré algunas conclusiones acerca de la validez de las críticas del obispo de Cloyne a Newton. -/- . (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)

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.

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.

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)

This article centers on Hume’s position on the intelligibility of natural philosophy. To that end, the controversy surrounding universal gravitation shall be scrutinized. It is very well-known that Hume sides with the Newtonian experimentalist approach rather than with the Leibnizian demand for intelligibility. However, what is not clear is Hume’s overall position on the intelligibility of natural philosophy. It shall be argued that Hume declines Leibniz’s principle of intelligibility. However, Hume does not eschew intelligibility altogether; his concept of causation itself (...) stipulates mechanical intelligibility. (shrink)

Modern science began as natural philosophy, an admixture of philosophy and science. It was then killed off by Newton, as a result of his claim to have derived his law of gravitation from the phenomena by induction. But this post-Newtonian conception of science, which holds that theories are accepted on the basis of evidence, is untenable, as the long-standing insolubility of the problem of induction indicates. Persistent acceptance of unified theories only in physics, when endless equally empirically successful disunified rivals (...) are available, means that physics makes a persistent, problematic metaphysical assumption about the universe: that all disunified theories are false. This assumption, precisely because it is problematic, needs to be explicitly articulated within physics, so that it can be critically assessed and, we may hope, improved. The outcome is a new conception of science—aim-oriented empiricism—that puts science and philosophy together again, and amounts to a modern version of natural philosophy. Furthermore, aim-oriented empiricism leads to the solution to the problem of induction. Natural philosophy pursued within the methodological framework of aim-oriented empiricism is shown to meet standards of intellectual rigour that science without metaphysics cannot meet. (shrink)

Nimeni nu ştie sigur dacă amintirea lui Newton despre măr a fost corectă, dar perspectiva lui aceasta este. Filosofii au crezut încă de la greci că mişcarea “naturală” a stelelor, planetelor, Soarelui şi Lunei este circulară. Kepler a stabilit că orbitele sunt de fapt eliptice, dar a crezut că mişcările planetelor este dictată de către o “forţă divină” emanată de la Soare, iar Newton şi-a dat seama că aceeaşi forţă care face ca o piatră aruncată să cadă înapoi pe Pământ, (...) ţine şi planetele pe orbita Soarelui, şi Luna pe orbita Pământului. În 1687, Isaac Newton a publicat Principia, în care face ipoteza legii pătratelor inverse a gravitației universale. Aplicarea legii gravitației lui Newton a permis obținerea multor informații detaliate pe care le avem despre planetele din Sistemul Solar, masa Soarelui și detalii despre quasari; chiar și existența unei materii întunecate se deduce din legea gravitației lui Newton. Deși nu am călătorit pe toate planetele și nici pe Soare, cunoaștem masele lor. Aceste mase se obțin prin aplicarea legilor gravitației la caracteristicile măsurate ale orbitei. În spațiu un obiect își menține orbita datorită forței gravitaționale care acționează asupra ei. Planeta orbitează stelele, stelele orbitează în centre galactice, galaxiile orbitează un centru de masă în grupuri și clusterele orbitează în superclustere. CUPRINS: Gravitația - Istoria teoriei gravitației - - Revoluția științifică - - Teoria lui Newton a gravitației - - Principiul echivalenței - - Relativitatea generală - - Gravitația și mecanica cuantică - Aspecte specifice - - Gravitația Pământului - - Ecuațiile pentru un corp care cade aproape de suprafața Pământului - - Gravitația și astronomia - - Radiații gravitaționale - - Viteza gravitației - Anomalii și discrepanțe Istoria teoriei gravitației - Antichitate - Era modernă - - Teoria lui Newton despre gravitație - - Explicații mecanice ale gravitației - - Relativitatea generală - - Gravitația și mecanica cuantică Isaac Newton - Ortodoxia creștină - Dumnezeu ca maestru creator - Alte credințe - Scrieri Legea gravitaţiei universale a lui Newton - Istorie - Forma modernă - - Forma vectorială - - Comparaţie cu forţa electromagnetică - - Reticenţele lui Newton - Aspecte problematice - - Preocupări teoretice privind expresia lui Newton - - Observații care contravin formulei lui Newton - - Reticențele lui Newton - - Soluția lui Einstein Isaac Newton vs. Robert Hooke - Opera și revendicările lui Hooke - Opera și revendicările lui Newton - Recunoașterea lui Newton - Controversa modernă a priorității - Schopenhauer despre Newton și Hooke Acțiunea la distanță - Ipotezele eterului - Corespondența cu Richard Bentley - Concluzii Explicarea gravitației prin eter - Curenți - Presiune statică Constanta gravitațională universală, G Legea inversului pătratului în gravitație - Formula - Justificare - Gravitația Gravitaţia Pământului - Ecuațiile pentru un corp în cădere în apropiere de suprafața Pământului Greutatea și imponderabilitatea - Greutatea în mecanica newtoniană - Istorie - - Newton - Relativitatea Mareele și gravitația - Caracteristici - Constituienți - Istoria fizicii mareelor - Forțe - Ecuațiile de maree ale lui Laplace - Mareele oceanelor - - Amplitudine și ciclu - - Batimetrie - Mareea Pământului - - Forța fluxului - - Mareea corporală - - Ceilalți contribuabili ai mareelor Pământului - Mareea atmosferei Pământului - - Caracteristici generale - Mareele lunare - - Componenta principală lunară semi-diurnă Câmpul gravitațional - Mecanica clasică Gravitația în interiroul unei planete (Teorema carcasei) - Dovezile lui Newton - - Forța pe un punct în interiorul unei sfere goale - Modelul preliminar de referință al pământului (PREM) Referințe Despre autor - Nicolae Sfetcu - - De același autor - - Contact Editura - MultiMedia Publishing . (shrink)

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.

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)

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 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.

One of the greatest philosophical controversies of the eighteenth century was the competition organized in 1746 by the Berlin Academy of Sciences. Although the specific object of the competition was the theory of monads, this particular question nevertheless referred to a deeper and more radical opposition between the two contending parties, Newtonians and Wolffians. In this contribution, we will first focus on the reasons for Newtonian opposition to Wolff’s philosophy. In this context, particular attention will be paid to the positions (...) of Euler and Maupertuis. We will then proceed to a comparison between the positions of Wolff and Maupertuis on the crucial question of the relationship between mathematical and philosophical method. Our analysis will attempt to show the existence, in Maupertuis’s thought, of an effort to apply the mathematical method to disciplines other than mathematics itself, which will allow us to determine his opposition to Wolffian philosophy. Finally, we will clarify the affinities and divergences between Wolff and Maupertuis, trying to show that the real reasons for their opposition should be sought in their respective epistemologies and metaphysics. (shrink)

The essays gathered in this issue of the journal Noctua focus on the various relationships that were established between philosophy and mathematics from Galileo and Descartes to Kant, passing by Newton.

Willem Jacob ’s Gravesande is widely remembered as a leading advocate of Isaac Newton’s work. In the first half of the eighteenth century, ’s Gravesande was arguably Europe’s most important proponent of what would become known as Newtonian physics. ’s Gravesande himself minimally described this discipline, which he called «physica», as studying empirical regularities mathematically while avoiding hypotheses. Commentators have as yet not progressed much beyond this view of ’s Gravesande’s physics. Therefore, much of its precise nature, its methodology, and (...) its relation to Newton’s actual work remains unclear. This article discusses one particular methodological element that ’s Gravesande himself often stressed in detail, namely the use of mathematics in philosophy and physics. In doing so, it takes exception to the claim that mathematics played only a minor role in ’s Gravesande’s work, a view put forward in recent historiography. Besides that, this article casts new light on the interpretation of ’s Gravesande’s philosophical notion of «mathematical reasoning», a notion that has remained somewhat obscure thus far. (shrink)

In the mid-seventeenth century a movement of self-styled experimental philosophers emerged in Britain. Originating in the discipline of natural philosophy amongst Fellows of the fledgling Royal Society of London, it soon spread to medicine and by the eighteenth century had impacted moral and political philosophy and even aesthetics. Early modern experimental philosophers gave epistemic priority to observation and experiment over theorising and speculation. They decried the use of hypotheses and system-building without recourse to experiment and, in some quarters, developed a (...) philosophy of experiment. The movement spread to the Netherlands and France in the early eighteenth century and later impacted Germany. Its important role in early modern philosophy was subsequently eclipsed by the widespread adoption of the Kantian historiography of modern philosophy, which emphasised the distinction between rationalism and empiricism and had no place for the historical phenomenon of early modern experimental philosophy. The re-emergence of interest in early modern experimental philosophy roughly coincided with the development of contemporary x-phi and there are some important similarities between the two. (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)

This paper defends a realist account of the composition of Newtonian forces, dubbed ‘residualism’. According to residualism, the resultant force acting on a body is identical to the component forces acting on it that do not prevent each other from bringing about its acceleration. Several reasons to favor residualism over alternative accounts of the composition of forces are advanced. (i) Residualism reconciles realism about component forces with realism about resultant forces while avoiding any threat of causal overdetermination. (ii) Residualism provides (...) a systematic semantics for the term ‘force’ within Newtonian mechanics. (iii) Residualism allows us to precisely apportion the causal responsibility of each component force in the ensuing acceleration. (iv) Residualism handles special cases such as null forces, single forces, and antagonistic forces in a natural way. (v) Residualism provides a neat picture of the causal powers of forces: each force essentially has two causal powers⎯the power to bring about accelerations (sometimes together with other co-directionnal forces) and the power to prevent other forces from doing so⎯exactly one of which is manifested at a time. (vi) Residualism avoids commitment to unobservable effects of forces: forces cause either stresses (tensile or compressive) or accelerations. (shrink)

Newton had a fivefold argument that true motion must be motion in absolute space, not relative to matter. Like Newton, Kant holds that bodies have true motions. Unlike him, though, Kant takes all motion to be relative to matter, not to space itself. Thus, he must respond to Newton’s argument above. I reconstruct here Kant’s answer in detail. I prove that Kant addresses just one part of Newton’s case, namely, his “argument from the effects” of rotation. And, to show that (...) rotation is relative to matter, Kant changes the meaning of ‘relative motion.’ However, that change puts Kant’s doctrine in deep tension with Newton’s science. Based on my construal, I correct earlier readings of Kant by John Earman and Martin Carrier. And, I argue that we need to revise Michael Friedman’s influential view of Kant. Kant’s struggle, I conclude, illustrate the difficulties that early modern relationists faced as they turned down Newtonian absolute space ; and it typifies their selective engagement with Newton’s case for it. (shrink)

I explain and assess here Huygens’ concept of relative motion. I show that it allows him to ground most of the Law of Inertia, and also to explain rotation. Thereby his concept obviates the need for Newton’s absolute space. Thus his account is a powerful foundation for mechanics, though not without some tension.

In the seventeenth century, Newton used bis famous prism to found the physics of spectral light, thus revolutionising our thinking about colours; more than a hundred years later, Goethe protested against Newton's theory and discovered a number of new prismatic colour phenomena. Did these episodes in the history of science have any influence on the visual arts? For a decade now my visits to art museums have had an agenda: I have been looking for nineteenth-century paintings with certain spectral colour (...) (which will be described in the first half of this paper). While my search has been unsuccessful in traditional Western art, I found what I was looking for in Japa­nese art: in woodblock prints by Hokusai and Hiroshige. This is surprising; little Western science had reached Japan in their time. The second half of the paper pre­sents this riddle, which I am nowhere near solving. Even without a solution, however, a riddle can be instructive. In this case, it may help to bring into focus the fascinating exchange between two distant cultures. Much has been written on the cultural relativ­ity of colour perception, colour systematisation and colour aesthetics; I want to intro­duce a new and so far unknown case that might contribute to this debate - though the debate itself remains beyond the scope of this paper. (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)

British Journal for the History of Philosophy, Volume 21, Issue 1, Page 207-209, January 2013.

Although Newton carefully eschews questions about gravity’s causal basis in the published Principia, the original version of his masterwork’s third book contains some intriguing causal language. “These forces,” he writes, “arise from the universal nature of matter.” Such remarks seem to assert knowledge of gravity’s cause, even that matter is capable of robust and distant action. Some commentators defend that interpretation of the text—a text whose proper interpretation is important since Newton’s reasons for suppressing it strongly suggest that he continued (...) to endorse its ideas. This article argues that the surface appearance of Newton’s causal language is deceptive. What does New- ton intend with his causal language if not a full causal hypothesis? His remarks actually indicate a way of considering the force mathematically, something he contrasts to the structure of the force as it really is in nature. In explaining that, he identifies a significant disjunction between the physical force itself and mathematical ways of considering it, and the text’s significance lies in its view of the force’s structure and in the questions raised about the relationship between mathematical representations and the physical world. (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)

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)

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)

Sir Isaac Newton (1642–1727) discovered a problem in theoretical physics that is still unresolved to this day. He recognized that the periodic forces of gravity produced by the planets of the solar system degrade their orbits over long time spans, to produce either collisions of planets, ejections of planets into interstellar space, or incineration in the Sun. Although the calculated effects may be small for a given instant of time, over millions of years those small effects accumulate to produce problems (...) of instability of the solar system. Fully aware of this situation, he therefore wrote: “. . . the Planets move one and the same way in Orbs concentrick, some inconsiderable Irregularities excepted, which may have arisen from the mutual Actions of Comets and Planets upon one another, and which will be apt to increase, till this System wants a Reformation.” Due to the fact that the various planets in the solar system gravitationally interact with one another and thus perturb the orbital paths they follow, Newton realized that the system was ultimately unstable and thus divine intervention was needed to restore the balance in the planetary orbits that we observe today. (shrink)

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 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 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)

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)

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)

Newton fächert einen weißen Lichtstrahl durch prismatische Brechung (Refraktion) auf und entdeckt dadurch sein Vollspektrum, das die größte Farbenvielfalt zeigt und aus Lichtstrahlen unterschiedlicher Refrangibilität besteht (1672). Laut Newtons Theorie müsste sich die Farbvielfalt seines Vollspektrums steigern lassen, wenn man den Auffangschirm immer weiter vom brechenden Prisma entfernt; denn dadurch müssten zuvor noch vermischte Lichtbündel ähnlicher Farbe schließlich doch auseinanderstreben. Diese Prognose ist empirisch falsch, wie Goethe in seiner Farbenlehre (1810) herausstreicht: Das Endspektrum enthält weniger Farben, insbesondere fehlt dort das (...) Gelb. Das ist eine Anomalie (à la Kuhn) der newtonischen Theorie. Wie lässt sich diese Anomalie erklären? Der Gelbverlust im Endspektrum muss irgendetwas mit der Licht- und Farbempfindlichkeit des menschlichen Auges zu tun haben. Aber was? Der Bezold/Brücke-Effekt bietet offenbar keine befriedigende Erklärung des Phänomens, wie ich mit Matthias Rangs experimenteller Hilfe empirisch zeige. Ein zweiter Erklärungsansatz beruft sich auf die rot/grüne spektrale Umgebung, die das Gelb offenbar in den Hintergrund treten lässt. Die Farbwahrnehmung einer farbigen Figur hat ja immer auch mit der Umgebungsfarbe zu tun, wie zum Beispiel beim Simultankontrast. Das zeigt sich im Experiment: Man kann das Gelb im Endspektrum zurückgewinnen, wenn man die anderen Farben des Spektrums abdeckt. Woran das wiederum liegt, ist bis heute ungeklärt. Es lässt sich jedenfalls nicht als Spezialfall des Simultankontrasts verstehen. (shrink)

This thesis provides a new analysis of early contributions to the development of the theory of absolute time—the notion that time exists independently of the presence or actions of material bodies and has no material cause. Though popularly attributed to Newton, I argue that this conception of time first appeared in medieval philosophy, as a solution to a peculiar theological problem generated by a widespread misrepresentation of Aristotle. I trace the subsequent evolution of the theory of absolute time through to (...) the seventeenth-century, and argue that Newton, if anything, retreats from a full endorsement of the doctrine. (shrink)

This paper defends the view that Newtonian forces are real, symmetrical and non-causal relations. First, I argue that Newtonian forces are real; second, that they are relations; third, that they are symmetrical relations; fourth, that they are not species of causation. The overall picture is anti-Humean to the extent that it defends the existence of forces as external relations irreducible to spatio-temporal ones, but is still compatible with Humean approaches to causation (and others) since it denies that forces are a (...) species of causation. (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)

This article tries to establish the scopes and limits of the main interpretations on Newton during the 20th century, highlighting on the one hand the textual evidence at disposal, and on the other hand the philosophical and epistemological currents that defines the main features of those interpretations. It will be shown that the rejection of positivism is not sufficient condition for establishing an adequate interpretation and, together with the strengthening of the research from Newton’s manuscript, it is necessary a wider, (...) and more detailed model that those established by some of the most outstanding scholars like Alexandre Koyré, I. Bernard Cohen, Betty Dobbs, and Richard Westfall. (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)