This paper reexamines the historical debate between Leibniz and Newton on the nature of space. According to the traditional reading, Leibniz (in his correspondence with Clarke) produced metaphysical arguments (relying on the Principle of Sufficient Reason and the Principle of Identity of Indiscernibles) in favor of a relational account of space. Newton, according to the traditional account, refuted the metaphysical arguments with the help of an empirical argument based on the bucket experiment. The paper claims that Leibniz’s and Newton’s arguments (...) cannot be understood apart from the distinct dialectics of their respective positions vis-à-vis Descartes’ theory of space and physics. Against the traditional reading, the paper argues that Leibniz and Newton are operating within a different metaphysics and different conceptions of “place,” and that their respective arguments can largely remain intact without undermining the other philosopher’s conception of space. The paper also takes up the task of clarifying the distinction between true and absolute motion, and of explaining the relativity of motion implied by Leibniz’s account. The paper finally argues that the two philosophers have different conceptions of the relation between metaphysics and science, and that Leibniz’s attempt to base physical theory on an underlying metaphysical account of forces renders his account of physics unstable. (shrink)

: This paper offers my current view of a joint research project, with Bernard R. Goldstein, that examines Kepler's unification of physics and astronomy. As an organizing theme, I describe the extent to which the work of Kepler led to the appearance of the form of Copernicanism that we accept today. In the half century before Kepler's career began, the understanding of Copernicus and his work was significantly different from the modern one. In successive sections I consider the modern conception (...) of Kepler's contribution to Copernicanism, the most influential sixteenth century view of Copernicus's work and its sequel, Kepler's work from the viewpoint of this tradition, and finally the historical origins of the modern view of Copernicanism. (shrink)

Descartes. An Intellectual Biography by Stephen Gaukroger, Clarendon Press, Oxford, 1995. xx + 499pp. £25.00 ISBN 0–19–823994–7Descartes. Biographie by Genèvieve Rodis‐Lewis, Calmann‐Lévy, Paris, 1995. 371pp.

There is a popular view that Descartes and Pascal were antagonists. I argue instead that Pascal was a Cartesian, in the manner of other Cartesians in the seventeenth century. That does not, of course, mean that Pascal accepted everything Descartes asserted, given that there were Cartesian atomists, for example, when Descartes was a plenist and anti-atomist. Pascal himself was a vacuuist and thus in opposition to Descartes in that respect, but he did accept some of the more distinctive and controversial (...) aspects of Cartesianism, including his mechanistic philosophy and the consequent view that animals are automata. (shrink)

Within Descartes' philosophy, the problem of the Eucharist provides scholars the occasion to investigate a nexus of questions belonging to different domains of his thought. In taking up this problem, about which there has been much written in the past few decades , I hope first of all to discern some order in the texts themselves, as well also as in their various interpretations, and then, from there, to propose a new perspective.

Leibniz’s argument against Descartes’s conservation principle in the Brevis demonstratio (1686) has traditionally been read as passing from the premise that motive force must be conserved to the conclusion that motive force is not identical to quantity of motion and, finally, that quantity of motion is not conserved. In a lesser-known draft of the same year, Christiaan Huygens claimed that Descartes had in fact never held the view that Leibniz was attacking. Huygens is right as far as the traditional reading (...) is concerned. However, if the Brevis demonstratio is seen, as it should be, in the context of Leibniz’s attempt to ground mechanics in the foundational metaphysical axiom of the equivalence of full cause and entire effect, then Huygens’s objections can be answered. Leibniz may have committed Descartes to the foundational axiom because of the Traité de la méchanique, which was available to Leibniz at that time. Leibniz had used the equivalence of full cause and entire effect both in discovering the conservation of vis viva earlier and in various arguments for it later. Thus, the Brevis demonstratio should be viewed with Leibniz’s broader foundational mission in mind. (shrink)

Many critics, Descartes himself included, have seen Hobbes as uncharitable or even incoherent in his Objections to the Meditations on First Philosophy. I argue that when understood within the wider context of his views of the late 1630s and early 1640s, Hobbes's Objections are coherent and reflect his goal of providing an epistemology consistent with a mechanical philosophy. I demonstrate the importance of this epistemology for understanding his Fourth Objection concerning the nature of the wax and contend that Hobbes's brief (...) claims in that Objection are best understood as a summary of the mechanism for scientific knowledge found in his broader work. Far from displaying his confusion, Hobbes's Fourth Objection in fact pinpoints a key weakness of Descartes's faculty psychology: its unintelligibility within a mechanical philosophy. (shrink)

Despite holding to the essential distinction between mind and body, Descartes did not adopt a life-body dualism. Though humans are the only creatures which can reason, as they are the only creatures whose body is in an intimate union with a soul, they are not the only finite beings who are alive. In the present note, I attempt to determine Descartes'' criteria for something to be ''living.'' Though certain passages associate such a principle with the presence of a properly functioning (...) heart, I show that there are important reasons for also understanding life in terms of a degree of complexity of design. (shrink)

I survey the debate over rationalism and empiricism in science. This chapter contains sections titled: The New Experimental Science as a Challenge to Intuition, Geometry and Intuition, The Mathematical Tradition and Theoretical Science.

As a practicing life scientist, Descartes must have a theory of what it means to be a living being. In this paper, I provide an account of what his theoretical conception of living bodies must be. I then show that this conception might well run afoul of his rejection of final causal explanations in natural philosophy. Nonetheless, I show how Descartes might have made use of such explanations as merely hypothetical, even though he explicitly blocks this move. I conclude by (...) suggesting that there is no reason for him to have blocked the use of hypothetical final causes in this way. (shrink)

In the period of emergence of early modern science, ‘monsters’ or individuals with physical congenital anomalies were considered as rare events which required special explanations entailing assumptions about the laws of nature. This concern with monsters was shared by representatives of the new science and Late Scholastic authors of university textbooks. This paper will reconstruct the main theses of the treatment of monsters in Late Scholastic textbooks, by focusing on the question as to how their accounts conceived nature’s regularity and (...) teleology. It shows that they developed a naturalistic teratology in which, in contrast to the naturalistic explanations usually offered by the new science, finality was at central stage. This general point does not impede our noticing that some authors were closer to the views emerging in the Scientific Revolution insofar as they conceived nature as relatively autonomous from God and gave a relevant place to efficient secondary causation. In this connection, this paper suggests that the concept of the laws of nature developed by the new science –as exception-less regularities—transferred to nature’s regularity the ‘strong’ character that Late Scholasticism attributed to finality and that the decline of the Late Scholastic view of finality played as an important concomitant factor permitting the transformation of the concept of laws of nature. (shrink)

What is early modern philosophy? Two interpretative trends have predominated in the related literature. One, with roots in the work of Hegel and Heidegger, sees early modern thinking either as the outcome of a process of gradual rationalization (leading to the principle of sufficient reason, and to "ontology" as distinct from metaphysics), or as a reflection of an inherent subjectivity or representational semantics. The other sees it as reformulations of medieval versions of substance and cause, suggested by, or leading to, (...) early modern scientific developments. -/- This book proposes a rather different kind of explanation. It suggests that the concept of relation, specifically that of dyadic, anti-symmetrical relations, can throw light on a wide variety of developments in early modern thought, such as those concerning causality, sense perception, temporality, and the mereological approach to substance. The book argues that these relations are grounded in an interpretation of causal influence, and not in semantic theories or subjectivity. -/- Furthermore, if it is correct that the problem of unity was, for most of classical antiquity, what the problems of motion, causality and perception were for early modern thinkers, then early modern thought is much closer to the thought of Aristotle than is commonly supposed. The genesis of early modern thought might instead be taken to have occurred in opposition to one aspect of the thought of Duns Scotus (an aspect that lives on in contemporary Neo-Aristotelianism), and that can be explained once the relational perspective examined here is taken into account. (shrink)

The distinction between the mental operations of abstraction and exclusion is recognized as playing an important role in many of Descartes’ metaphysical arguments, at least after 1640. In this paper I first show that Descartes describes the distinction between abstraction and exclusion in the early Rules for the Direction of the Mind, in substantially the same way he does in the 1640s. Second, I show that Descartes makes the test for exclusion a major component of the method proposed in the (...) Rules. Third, I argue that in Rule 14 the exclusion-abstraction distinction is connected to a theory of distinctions, which includes a notion of real distinction as essentially tied to the imagination. This sheds light on Descartes’ development in and after the Rules. (shrink)

This article situates Descartes’ physical thinking within the nexus of machine science, which rests upon different foundational piers than regular classical mechanics of a Newtonian stripe. In particular, connected cyclic processes of the sort encountered in clockwork mechanisms (and Descartes’ own vortices) become central rather than impactive collisions of any kind. Such a placement supplies a more sympathetic understanding of many of his most notorious claims: conservation of ‘quantity of motion’, relationalism with respect to space, relative rest as an explanation (...) of particle cohesion, etc. Of course, the resulting system of ideas is not perfect, but the mistakes are more subtle than usually presumed. (shrink)

This paper contains a discussion of striking similarities between influential philosophical concepts of the past and the approaches currently employed in selected areas of computer science. In particular, works of the Pythagoreans, Plato, Abelard, Ash’arites, Malebranche and Berkeley are presented and contrasted with such computer science ideas as digital computers, object-oriented programming, the modelling of an object’s actions and causality in virtual environments, and 3D graphics rendering. The intention of this paper is to provoke the computer science community to go (...) off the beaten path in order to find inspiration for the development of new approaches in software engineering. (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.

This paper explores the possibility of constructing a Cartesian space-time that can resolve the dilemma posed by a famous argument from Newton's early essay, De gravitatione. In particular, Huygens' concept of a center-of-mass reference frame is utilized in an attempt to reconcile Descartes' relationalist theory of space and motion with both the Cartesian analysis of bodily impact and conservation law for quantity of motion. After presenting a modern formulation of a Cartesian space-time employing Huygens' frames, a series of Newtonian counter-replies (...) are developed in order to estimate the viability of this relationalist project. (shrink)

This essay explores two of the more neglected hypotheses that comprise, or supplement, Descartes’ relationalist doctrine of bodily motion. These criteria are of great importance, for they would appear to challenge Descartes’ principal judgment that motion is a purely reciprocal change of a body’s contiguous neighborhood. After critiquing the work of the few commentators who have previously examined these forgotten hypotheses, mainly, D. Garber and M. Gueroult, the overall strengths and weaknesses of Descartes’ supplementary criteria will be assessed. Overall, despite (...) their ingenuity, it will be demonstrated that Descartes’ criteria cannot rescue his brand of natural laws from the inherent limitations of his strong relational account of motion. (shrink)

This paper examines Descartes' problematic relational theory of motion, especially when viewed within the context of his dynamics, the Cartesian natural laws. The work of various commentators on Cartesian motion is also surveyed, with particular emphasis placed upon the recent important texts of Garber and Des Chene. In contrast to the methodology of most previous interpretations, however, this essay employs a modern "spacetime" approach to the problem. By this means, the role of dynamics in Descartes' theory, which has often been (...) neglected in favor of kinematic factors, is shown to be central to finding a solution to the puzzle of Cartesian motion. (shrink)

In De gravitatione, Newton contends that Descartes' physics is fundamentally untenable since the "fixed" spatial landmarks required to ground the concept of inertial motion cannot be secured in the constantly changing Cartesian plenum. Likewise, it is has often been alleged that the collision rules in Descartes' Principles of Philosophy undermine the "relational" view of space and motion advanced in this text. This paper attempts to meet these challenges by investigating the theory of connected gears (or "kinematics of mechanisms") for a (...) potential Cartesian method of positing the permanent reference frames necessary to uphold Descartes' conservation law for the quantity of motion. In particular, the insights gained from an examination of the kinematics of mechanisms will provide the Cartesian with much needed resources to counter the two threats posed above. (shrink)

Spinoza’s bold claim that there exists only a single infinite substance entails that finite things pose a deep challenge: How can Spinoza account for their finitude and their plurality? Taking finite bodies as a test case for finite modes in general I articulate the necessary conditions for the existence of finite things. The key to my argument is the recognition that Spinoza’s account of finite bodies reflects both Cartesian and Hobbesian influences. This recognition leads to the surprising realization there must (...) be more to finite bodies than their finitude, a claim that goes well beyond the basic substance-monism claim, namely, that anything that is, is in God. This leads to the conclusion, which may seem paradoxical, that finite bodies have both an infinite as well as a finite aspect to them. Finite bodies, I argue, both actively partially determine all the other finite bodies, thereby partially causing their existence insofar as they are finite, as well as are determined by the totality of other bodies. I articulate precisely what this infinite aspect is and how it is distinct from the general substance-monism dictum. (shrink)

Descartes notoriously characterizes substance in two ways: first, as an ultimate subject of properties ; second, as an independent entity. The characterizations have appeared to many to diverge on the definition as well as the scope of the notion of substance. For it is often thought that the ultimate subject of properties need not—and, in some cases, cannot—be independent. Drawing on a suite of historical, textual, and philosophical considerations, this essay argues for an interpretation that reconciles Descartes's two characterizations. It (...) proposes that both characterizations invoke a type of independence that obtains just in case there is no relation to another entity that holds by the nature of the entity in question. Even though the ultimate subject of properties is sometimes not independent in other respects, it satisfies this independence-by-nature condition. (shrink)

This chapter contains section titled: The Rejection of Teleology and Its Limits Reconciling God's Goodness with Misjudgment and Misperception The Clock Analogy and Engineering the Body The Special Place of the Passions The Structure of the Passions of the Soul The Need for a General Remedy Notes References and Further Reading.

In a 1669 letter to his mentor Thomasius, Leibniz writes that "hardly any of the Cartesians have added anything to the discoveries of their master" insofar as they "have published only paraphrases of their leader."1 The book that is the focus of my remarks here—Roger Ariew's Descartes and the First Cartesians —shows that Leibniz was most certainly incorrect. In particular, Ariew draws attention to the fact that there was a concerted effort to present a new sort of Cartesianism that conforms (...) to the structure of the early modern French scholastic curriculum. Though this effort was inspired by Descartes's own attempt to present his views in this manner, the later "Cartesian scholasticism"... (shrink)

There is a strong need of a reasoned defense of what was known as the “independence” position of the science–religion relationship but that more recently has been denigrated as the “accommodationist” position, namely that while there are parts of religion—fundamentalist Christianity in particular—that clash with modern science, the essential parts of religion do not and could not clash with science. A case for this position is made on the grounds of the essentially metaphorical nature of science. Modern science functions because (...) of its root metaphor of the machine: the world is seen in mechanical terms. As Thomas Kuhn insisted, metaphors function in part by ruling some questions outside their domain. In the case of modern science, four questions go unasked and hence unanswered: Why is there something rather than nothing? What is the foundation of morality? What is mind and its relationship to matter? What is the meaning of it all? You can remain a nonreligious skeptic on these questions, but it is open for the Christian to offer his or her answers, so long as they are not scientific answers. Here then is a way that science and religion can coexist. (shrink)

This paper is on Descartes’ account of modality and, in particular, his account of the necessity of the laws of nature. He famously argues that the necessity of the “eternal truths” of logic and mathematics depends on God’s will. Here I suggest he has the same view about the necessity of the laws of nature. Further, I argue, this is a plausible theory of laws. For philosophers often talk about something being nomologically or physically necessary because of the laws of (...) nature, but this necessity is thought to be metaphysically contingent. However, they struggle to explain how the laws could be genuinely necessary while being metaphysically contingent. The chief advantage of Descartes view, I argue, is that God’s will can plausibly explain both the necessity of the laws and the contingency of the laws. So, Descartes’ theistic account of laws provides a plausible explanation, perhaps the best explanation, of the contingent-necessity of laws of nature. (shrink)

Tradicionalmente se le atribuye a Descartes la tesis del «animal-máquina». De acuerdo con ésta los animales carecen de capacidades cognitivas, emociones y, en general, de conciencia. Esta interpretación, que todavía sigue vigente, se apoya en los avances de la filosofía natural cartesiana, que rompió con la aristotélico-escolástica, de carácter cualitativo, proponiendo un modelo físico-matemático cuantitativo mucho más cercano al nuestro. Pero, la propuesta de Descartes en su vertiente fisiológica, que en el fondo supone una concepción del ser humano innovadora, dejaba (...) muchas cosas por fuera: como la vida, la salud, o los fines de la conducta. Sin embargo, tales elementos reaparecen en su tratamiento terapéutico y moral de las pasiones, al considerar al sujeto como unión primitiva de mente y cuerpo. Dicha solución cartesiana también puede alcanzar a los animales que, concluiremos, no necesariamente son frías y desapasionadas máquinas. (shrink)

Thomas Hobbes based his natural philosophy on definitions and general principles of matter in motion, which he refrained from calling “laws of nature.” Across the channel, René Descartes had presented his own account of matter in motion in such a way that laws of nature play a central causal-explanatory role. Despite some notable differences in the two systems of natural philosophy, the content of the three Cartesian laws of nature is shared by Hobbesian principles of motion. Why is it the (...) case that Hobbes never ‘transferred’ the concept of law of nature from the sphere of civil society to the realm of nature? What is the status of the Hobbesian principles of motion if they are not laws? Answering these questions is the main aim of this article. It is shown that Hobbes made available an importantly different and genuinely original way to do natural philosophy, which renders it free of metaphysics and eschews the need to ground it in anything other than ‘natural reason’. Briefly put, Hobbes took the category of ‘laws of nature’ to involve commitments that cannot be met in the natural world, unless natural philosophy loses its autonomy from theology and metaphysics. (shrink)

‘God needs no instruments to act,’ Malebranche writes in Search 6.2.3; “it suffices that He wills in order that a thing be, because it is a contradiction that He should will and that what He wills should not happen. Therefore, His power is His will”. After nearly identical language in Treatise 1.12, Malebranche writes that “[God's] wills are necessarily efficacious … His power differs not at all from His will”. God exercises His causal power, here, via His volitions; what He (...) causes depends not merely on the fact that He wills, but specifically on the content of His volitions, on “what He wills.” Yet despite the obviously key role the ordinary notion of volitional content plays for Malebranche, recent writers have paid surprisingly little attention either to it or its exegetical implications. I hope partly to rectify this situation here.The plan of this paper is this: to borrow current work in the philosophy of mind to sketch the notion of an incomplete volition, i.e. one whose content is ‘incomplete’ in a sense to be explained; to note that Malebranche accepts and uses something like this notion. (shrink)

This paper explicates Descartes’ theory of intuition (intuitus). Departing from certain commentators, I argue that intuition, for Descartes, is a form of clear and distinct intellectual perception. Because it is clear and distinct, it is indubitable, infallible, and provides a grade of certain knowledge he calls ‘cognitio’. I pay special attention to why he treats intuition as a form of perception, and what he means when he says it is ‘clear and distinct’. Finally, I situate his view in relation to (...) those of his Scholastic predecessors on one hand and current theories on the other. His view anticipates the contemporary ‘perceptual model of intuition’, though it is much bolder with its promise of certainty. (shrink)

This paper explicates Descartes’ theory of intuition (intuitus). Departing from certain commentators, I argue that intuition, for Descartes, is a form of clear and distinct intellectual perception. Because it is clear and distinct, it is indubitable, infallible, and provides a grade of certain knowledge he calls ‘cognitio’. I pay special attention to why he treats intuition as a form of perception, and what he means when he says it is ‘clear and distinct’. Finally, I situate his view in relation to (...) those of his Scholastic predecessors on one hand and current theories on the other. His view anticipates the contemporary ‘perceptual model of intuition’, though it is much bolder with its promise of certainty. (shrink)

Descartes says that the Meditations contains the foundations of his physics. But how does the work advance his geometrical view of the corporeal world? His argument for this view of matter is often taken to be concluded with the proof of the existence of bodies in the Sixth Meditation. This paper focuses on the work that follows the proof, where Descartes pursues the question of what we should think about qualities such as light, sound and pain, as well as the (...) size and shape of particular bodies. His inquiry makes crucial use of the notion of a teaching of nature originating from God, as contrasted with an apparent teaching of nature originating from habit. I attempt to reconstruct Descartes's use of these notions in order to clarify the way in which he makes space for his geometrical conception of the corporeal world. (shrink)

Descartes held that practicing mathematics was important for developing the mental faculties necessary for science and a virtuous life. Otherwise, he maintained that the proper uses of mathematics were extremely limited. This article discusses his reasons which include a theory of education, the metaphysics of matter, and a psychologistic theory of deductive reasoning. It is argued that these reasons cohere with his system of philosophy.

This essay proposes a new interpretation of a central, and yet overlooked, argument Leibniz offers against Descartes’s power-free ontology of the corporeal world. Appealing to considerations about the successiveness of motion, Leibniz attempts to show that the reality of motion requires force. It is often assumed that the argument is driven by concerns inspired by Zeno. Against such a reading, this essay contends that Leibniz’s argument is instead best understood against the background of an Aristotelian view of the priority of (...) real being over time. The essay also shows how this alternative interpretation can help to shed new light on the difference between Leibnizian forces and Aristotelian powers, as well as on Leibniz’s famous claim that accounting for force leads us beyond the mechanistic corporeal realm. (shrink)

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

The Newtonian universe is usually understood to contain two classes of causal factors: universal regularitiesand initial conditions. I demonstrate that,in fact, the Newtonian universe contains no causal factors other thanuniversal regularities: the initial conditions ofany physical system are merely theconsequence of universal regularities acting on previoussystems. It follows that aNewtonian universe lacks the degree of contingency that is usually attributed to it. This is a necessary precondition for maintaining that the Newtonian universe is a block universe that exhibits no temporal (...) development. It follows also that Newtonian physics is inconsistent, since a Newtonian universe as a whole exhibits some properties – such as the total mass of the universe – that are not determined by the laws of Newtonian physics, and that must therefore be considered contingent. (shrink)

This paper presents a praxiological analysis of three everyday educational practices or strategies that can be considered as being directed at the moral formation of the emotions. The first consists in requests to imagine other's emotional reactions. The second comprises requests to imitate normative emotional reactions and the third to re-appraise the features of a situation that are relevant to an emotional response. The interest of these categories is not just that they help to organize and recognize the significance of (...) what might otherwise appear to be a disparate set of ordinary moral-educational interactions between children and educators. We suggest, further, that this analysis provides some new insight into what distinguishes the broad and recurrent conceptions of moral education from one another. Rather than being straightforwardly reducible to intractable differences over core normative or meta-ethical questions they can also be seen as correlating with different suppositions about the central role of the emotions in moral life and, correspondingly, different but to a large degree compatible interpretations of what the. (shrink)

There does not seem to be a consistent way to ground the concept of “force” in Cartesian first principles. In this article, I first review the literature on the subject. Then, I offer an alternative interpretation of force—one that seems to be coherent and consistent with Descartes’ project. Not only does the new position avoid the problems of previous interpretations, but it does so in such a way as to support and justify those previous interpretations. *Received June 2007; revised June (...) 2009. †To contact the author, please write to: Department of Philosophy, University of Washington, Box 353350, Seattle, WA 98195; e‐mail: [email protected]. (shrink)

This is about the tension between Epicurean and Galilean accounts of motion in Gassendi. For my more recent thoughts on this, see http://philpapers.org/rec/LOLCEG.

In Spinoza’s substance monism, radically different attributes constitute the essence of one and the same substance qua a strongly unified whole. Showing how this is possible poses a formidable Cartesian challenge to Spinoza’s metaphysics. In this paper I suggest a reconstruction of Spinoza’s notion of substance that meets this challenge and explains a major feature of this notion. I then show how this reconstruction can be used to resolve two fundamental problems of the Cartesian framework that pertain to Spinoza’s metaphysics. (...) On this basis, I then explain two further major features of Spinoza’s notion of substance. While my suggested reconstruction has all these advantages and accords well with Spinoza’s conceptual framework, it goes beyond what he explicitly says concerning substance monism. It is in the spirit of his metaphysical framework rather than in its letter. Thus, all I intend to show is that Spinoza has the conceptual resources for coming to terms with some of the deep problems that beset his metaphysics. (shrink)

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)

Scholars have long recognized that Newton regarded Descartes as his principal philosophical interlocutor when composing the first edition of Philosophiae Naturalis Principia Mathematica in 1687. The arguments in the Scholium on space and time, for instance, can profitably be interpreted as focusing on the conception of space and motion in part two of Descartes's Principles of Philosophy (1644). What is less well known, however, is that this Cartesian conception, along with Descartes's attempt to avoid Galileo's fate in 1633, serves as (...) an essential background to understanding Newton's own (poorly understood) view of the theological implications of his theory of space and motion. In particular, after withdrawing Le Monde from publication in 1633 because of its Copernican leanings, Descartes later introduced what some regard as a “fudge factor” into the theory of motion in the Principles: from an ordinary perspective the earth does move; but from a philosophical one, it does not. This background indicates the novelty and originality of Newton's own attempt to explicate how scriptural passages concerning the motions of the heavenly bodies can be reconciled with the philosophical views he developed during the 1680s. New evidence from archival sources and correspondence supports this argument, shedding light on the Scholium and on Newton's conception of philosophy's relation to theology. (shrink)