Translation for this volume by Lydia Patton of Chapter 9 (pages 179-200) of Émilie du Châtelet's Institutions de Physique (Foundations of Physics). Original publication date 1750. Paris: Chez Prault Fils.

If the allusive stratagems can claim to define a new type of systematicity, it is because they give access to a space where the singularity, the diagram and the metaphor may interlace, to penetrate further into the physico-mathematic intuition and the discipline of the gestures which precede and accompany ‘formalisation’. This interlacing is an operation where each component backs up the others: without the diagram, the metaphor would only be a short-lived fulguration because it would be unable to operate: without (...) the metaphor, the diagram would only be a frozen icon, unable to jump over its bold features which represent the images of an already acquired knowledge; without the subversion of the functional by the singular, nothing would come to oppose the force of habit. (shrink)

This paper explores the theory of freedom that Emilie du Châtelet advances in her essay “On Freedom.” Using contemporary terminology, we can characterize this theory as a version of agent-causal compatibilism. More specifically, the theory has the following elements: (a) freedom consists in the power to act in accordance with one’s choices, (b) freedom requires the ability to suspend desires and master passions, (c) freedom requires a power of self-motion in the agent, and (d) freedom is compatible with moral necessity (...) but not with physical necessity. While these elements may at first appear disparate, the paper shows that they fit together quite well. The resulting theory is a surprising combination of doctrines that appear to be based on Samuel Clarke’s libertarian account of free will and doctrines that are reminiscent of the compatibilist accounts of John Locke, Anthony Collins, Gottfried Leibniz, and Thomas Hobbes. (shrink)

- Emilie du Châtelet offers an interesting and unusual account of the origin of our representation of extension. - She is an idealist about the essence extension, bodies and space, regarding them as mental constructs. - Du Châtelet's account requires a brute fact about the mind, in apparent tension with the Principle of Sufficient Reason.

There is a tension in Emilie Du Châtelet’s thought on mathematics. The objects of mathematics are ideal or fictional entities; nevertheless, mathematics is presented as indispensable for an account of the physical world. After outlining Du Châtelet’s position, and showing how she departs from Christian Wolff’s pessimism about Newtonian mathematical physics, I show that the tension in her position is only apparent. Du Châtelet has a worked-out defense of the explanatory and epistemic need for mathematical objects, consistent with their metaphysical (...) nonfundamentality. I conclude by sketching how Du Châtelet’s conception of mathematical indispensability differs interestingly from many contemporary approaches. (shrink)

Much early modern metaphysics grew with an eye to the new science of its time, but few figures took it as seriously as Emilie du Châtelet. Happily, her oeuvre is now attracting close, renewed attention, and so the time is ripe for looking into her metaphysical foundation for empirical theory. Accordingly, I move here to do just that. I establish two conclusions. First, du Châtelet's basic metaphysics is a robust realism. Idealist strands, while they exist, are confined to non-basic regimes. (...) Second, her substance realism seems internally coherent, so her foundational project appears successful.I have two aims in this paper. Historically, I show that du Châtelet's main source of inspiration was Christian... (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)

The Southern Journal of Philosophy, EarlyView.

In this chapter, I examine similarities and divergences between Du Châtelet and Descartes on their endorsement of the use of hypotheses in science, using the work of Condillac to locate them in his scheme of systematizers. I conclude that, while Du Châtelet is still clearly a natural philosopher, as opposed to modern scientist, her conception of hypotheses is considerably more modern than is Descartes’, a difference that finds its roots in their divergence on the nature of first principles.

There is a growing consensus that Emilie Du Châtelet’s challenging essay “On Freedom” defends compatibilism. I offer an alternative, libertarian reading of the essay. I lay out the prima facie textual evidence for such a reading. I also explain how apparently compatibilist remarks in “On Freedom” can be read as aspects of a sophisticated type of libertarianism that rejects blind or arbitrary choice. To this end, I consider the historical context of Du Châtelet’s essay, and especially the dialectic between various (...) strands of eighteenth-century libertarianism and compatibilism. (shrink)

This projecrt aims to present an online Reading Guide to help students, teachers and researchers navigate through Du Châtelet’s Foundations of Physics, or Institutions de physique (1740/42) and to make this important text visible to a broad audience.

Summary In about 1735, Emilie Du Châtelet began to translate Mandeville's Fable of the Bees. Her work, which is largely ignored by scholars, did, as this article demonstrates, turn out to be one of transformation rather than of translation and came at a crucial moment in the emerging French luxury debate. So far commercial society and luxury had been defended in purely economic terms, for instance in Melon's Essai politique, or as an aspect of divine providence for fallen man, by (...) Pierre Nicole amongst others. There was as yet no coherent defence on the level of secular ethics. As this article shows, Du Châtelet set out to remedy this. In co-operation with Voltaire, with whose recent praise of English society in the Lettres philosophiques she strongly identified, she rewrote the Fable to offer a defence of modern commercial society as both natural and moral. The article argues that she was able to do so by taking recourse to classic Epicureanism in the guise of Lucretius' De rerum natura, as an alternative to the Neo-Epicureanism, with its Augustinian overtones, as espoused by Mandeville. Voltaire in turn used her translation to lay the foundations for his defence of commercial society and progress in his Traité de métaphysique in which he uses the precise passages she had inserted into Mandeville's original. This article analyses the further aspects Voltaire adds to her arguments. Taken together, Du Châtelet's ?translation? and Voltaire's Traité offer a coherent defence of bourgeois society that would underlie Voltaire's later historiographical and philosophical works and which were crucial to his concept of ?Enlightenment? and ?progress? (shrink)

In the second chapter of her <i>Institutions de Physique</i> Emilie Du Chatelet gives two cosmological arguments for the existence of God. In this chapter I focus on the first of these arguments. I argue that, while it bears some significant similarities to arguments given by John Locke and Christian Wolff, it improves on these arguments in at least two ways. First, it avoids a potential equivocation in Locke's argument; and second, it avoids Wolff's mere stipulation that whoever claims that (...) there cannot be an infinite regress of contingent beings does not understand what a sufficient reason is. I finally argue that her argument avoids a related objection, considered by David Hume, on which to explain a causal chain is merely to explain each link in the chain. (shrink)

This paper examines Du Châtelet’s and Kant’s responses to the famous vis viva controversy – Du Châtelet in her Institutions Physiques (1742) and Kant in his debut, the Thoughts on the True Estimation of Living Forces (1746–49). The Institutions was not only a highly influential contribution to the vis viva controversy, but also a pioneering attempt to integrate Leibnizian metaphysics and Newtonian physics. The young Kant’s evident knowledge of this work has led some to speculate about his indebtedness to her (...) philosophy. My study corrects such speculations as well as misunderstandings of the Living Forces. This corrective result has implications for how to investigate Kant’s relation to the ever-evolving landscape of Leibniz exegeses. (shrink)

To provide metaphysical grounds for the physics of her time, Du Châtelet argued for the notion of an active force. This was different from the impressed force in Newton’s second law. The former force was a property of a body, whereas the latter was an external cause. I shall study this discrepancy and argue that the interactive concept of force in Newton’s third law is consistent with Du Châtelet’s standards for an intelligible physics. Consequently, the interaction entailed by the law (...) of universal gravitation complies with Du Châtelet’s principles of human knowledge. (shrink)

I begin by outlining Du Châtelet’s ontology of mathematical objects: she is an idealist, and mathematical objects are fictions dependent on acts of abstraction. Next, I consider how this idealism can be reconciled with her endorsement of necessary truths in mathematics, which are grounded in essences that we do not create. Finally, I discuss how mathematics and physics relate within Du Châtelet’s idealism. Because the primary objects of physics are partly grounded in the same kinds of acts as yield mathematical (...) objects, she thinks we are sometimes licensed in drawing conclusions about physical things from mathematical premises. (shrink)

In her Discourse on Happiness, Émilie du Châtelet argues susceptibility to illusion is one of the five ‘great machines of happiness,’ and that ‘we owe most of our pleasures to illusions’. However, many who read the Discourse find this aspect of her view puzzling and in tension with her claims that we must always seek truth and obey reason. To understand better her claims in the Discourse on Happiness, this article explores Du Châtelet's discussions of illusions in her Foundations of (...) Physics, On Liberty, and the Dissertation on the Nature and Propagation of Fire. I distinguish four types of illusions that Du Châtelet posits and clarify the ways in which these relate to her views on happiness and love in the Discourse and argue that she avoids deceptive or perpetual illusions of happiness through the use of the principle of sufficient reason. (shrink)

Emilie Du Chatelet and Christian Wolff both argue, from the principle of sufficient reason, that extended objects and composite objects simpliciter must ultimately be composed of simple beings (monads). Leonhard Euler, who makes extended use of the principle of sufficient reason in his works on mechanics and natural science, argues the contrary: Every extended object is composed of other, composite, extended objects. In this chapter I attempt to locate the differences between these figures that drive them to disparate conclusions. (...) I argue that the difference comes, not from their different applications of the principle of sufficient reason, but from two other sources. First, they endorse different explicability principles which do not themselves follow from the principle of sufficient reasons; and second, they differ with respect to the kinds of explanations (what I call that-explanations and how-explanations) that the question of the composition of extension requires. (shrink)

This paper discusses the contribution of Madame Du Châtelet to the reception of Newtonianism in France prior to her translation of Newton’s Principia. It focuses on her Institutions de physique, a work normally considered for its contribution to the reception of Leibniz in France. By comparing the different editions of the Institutions, I argue that her interest in Newton antedated her interest in Leibniz, and that she did not see Leibniz’s metaphysics as incompatible with Newtonian science. Her Newtonianism can be (...) seen to be in the course of development between 1738 and 1742 and it was shaped by contemporary French debates and the achievement of French Newtonians like Maupertuis in confirming his theories. Her Institutions therefore is linked to the same drive to disseminate Newtonianism undertaken by popularisations such as Voltaire’s Elements de la philosophie de Newton and Algarotti’s Newtonianismo per le dame.Author Keywords: Emilie du Châtelet; Isaac Newton; Voltaire; French reception of Newtonianism. (shrink)

A survey article on the metaphysics, physics and methodology of Du Châtelet.

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.

Im Mittelpunkt der vorliegenden Studie steht die Frage nach der Tragweite und Anwendungsrelevanz der Methodenlehre Émilie du Châtelets für die Physik im 18. Jahrhundert, mit der sich die Französin an der Diskussion um Energie- und Impulserhaltung und um das Prinzip der kleinsten Wirkung beteiligte. Andrea Reichenberger zeigt, dass Prinzipien und Hypothesen für Émilie du Châtelet als Fundament und Gerüst wissenschaftlicher Erkenntnis gelten. Im Zusammenspiel beider Komponenten erweisen sich das Prinzip des Widerspruchs und das Prinzip des zureichenden Grundes als regulative Leitlinien (...) und Handlungsmaxime für die auf Hypothesen gestützte Theoriebildung und -begründung. Die sich daraus ergebenden Konsequenzen für den Status und Inhalt der Newtonschen Axiome werden exemplarisch aufgezeigt. (shrink)

Many commentators have suggested that the metaphysical portions of Emilie du Châtelet's Institutions de physique are a mere retelling of Leibniz's views. I argue that a close reading of the text shows that du Châtelet's cosmological argument and discussion of God's nature contains both Lockean and Leibnizian elements. I discuss where she follows Locke in her arguments, what Leibnizian elements she brings in, and how this enables her to avoid some of the mistakes commonly attributed to Locke's formulation of the (...) cosmological argument. I show that while du Châtelet accepts the causal principle ex nihilo nihil fit, she does not utilize Locke's stronger causal principle. I also discuss her use of the principle of sufficient reason in both improving the Lockean cosmological argument and in proving the attributes of God. (shrink)

Émilie Du Châtelet’s Foundations of Physics (Institutions de physique, 1740/42) has recently been attracting increasing interest from analytical philosophy in the anglophone world. Du Châtelet’s conception of space and time constitutes a controversial issue. I argue that the current debate underestimates the modal approach and epistemological turn in Du Châtelet’s view on space and time. A historical perspective on Abraham Gotthelf Kästner’s criticism and Jean Henry Samuel Formey’s plagiarism of Du Châtelet underlines the significance of this turning point. Against this (...) background, I revisit Leonhard Euler’s space-time realism and its influence on Immanuel Kant. -/- Les Institutions de physique (1740/1742) d’Émilie Du Châtelet suscitent depuis peu un intérêt croissant dans le monde anglophone, chez les philosophes analytiques. Une question controversée concerne les concepts d’espace et de temps de Du Châtelet. Je soutiens que le débat actuel sous-estime l’approche modale et la tournure épistémologique des considérations de Du Châtelet sur l’espace et le temps. Un regard historique sur la critique d’Abraham Gotthelf Kästner et le plagiat de Du Châtelet par Jean Henry Samuel Formey souligne l’importance de ce tournant. Dans ce contexte, je revisite le réalisme spatio-temporel de Leonhard Euler et son influence sur Emmanuel Kant. (shrink)

In diesem Band werden neueste Forschungen zur Physikerin, Mathematikerin und Philosophin Emilie Du Châtelet vorgestellt. Emilie Du Châtelet genoss in der deutschen Aufklärung eine hohe Reputation. Sie verband Leibniz Metaphysik mit der Physik von Newton und gelangte zu erstaunlichen Ergebnissen, die die Physik auf den Weg zu Einsteins Energieformel führte. Ihre Werke wurden sofort ins Deutsche übersetzt, Kant nimmt in seiner ersten Dissertation von 1747 auf sie Bezug. Die Sammlung stellt Texte vor, die den Einfluss der deutschen Aufklärung auf Du (...) Châtelets und Du Châtelets Einfluss auf die deutsche Philosophie diskutieren. Die großen Namen der Epoche stehen hier zur Debatte, Leibniz, Wolff, Boskovic, Euler, Friedrich II, Voltaire, La Mettrie und viele weitere Größen der Aufklärung werden in ihrem Zusammenhang mit Du Châtelet vorgestellt. (shrink)

I argue that Émilie Du Châtelet breaks with Christian Wolff regarding the scope and epistemological content of the principle of sufficient reason, despite his influence on her basic ontology and their agreement that the principle of sufficient reason has foundational importance. These differences have decisive consequences for the ways in which Du Châtelet and Wolff conceive of science.

Du Châtelet holds that mathematical representations play an explanatory role in natural science. Moreover, she writes that things proceed in nature as they do in geometry. How should we square these assertions with Du Châtelet’s idealism about mathematical objects, on which they are ‘fictions’ dependent on acts of abstraction? The question is especially pressing because some of her important interlocutors (Wolff, Maupertuis, and Voltaire) denied that mathematics informs us about the properties of material things. After situating Du Châtelet in this (...) debate, this chapter argues, first, that her account of the origins of mathematical objects is less subjectivist than it might seem. Mathematical objects are non-arbitrary, public entities. While mathematical objects are partly mind-dependent, so are material things. Mathematical objects can approximate the material. Second, it is argued that this moderate metaphysical position underlies Du Châtelet’s persistent claims that mathematics is required for certain kinds of general knowledge, including in natural science. The chapter concludes with an illustrative example: an analysis of Du Châtelet’s argument that matter is continuous. A key premise in the argument is that mathematical representations and material nature correspond. (shrink)

In the mid-eighteenth century, it was usually taken for granted that all curves described by a single mathematical function were continuous, which meant that they had a shape without bends and a well-defined derivative. In this paper I discuss arguments for this claim made by two authors, Emilie du Châtelet and Roger Boscovich. I show that according to them, the claim follows from the law of continuity, which also applies to natural processes, so that natural processes and mathematical functions have (...) a shared characteristic of being continuous. However, there were certain problems with their argument, and they had to deal with a counterexample, namely a mathematical function that seemed to describe a discontinuous curve. (shrink)

This article discusses Du Châtelet’s challenging claim that entertaining illusions, especially illusions of being esteemed by posterity, is conducive to happiness. It does so by taking a contextualizing approach, contrasting her views with some Epicurean aspects of the views on illusions and happiness in Bernard de Fontenelle and Julien Offray de La Mettrie. I will argue for three claims: (1) Du Châtelet’s comparison between self-related illusions and illusions in the theater is vulnerable to objections deriving from some distinctions that Fontenelle’s (...) poetics draws between the role of illusions in the theater and the role of illusions in real life. (2) Examining Fontenelle’s analysis of the detrimental effects of self-related illusions indicates several respects in which Du Châtelet has underestimated the ambivalent nature of illusions. (3) Du Châtelet’s view that illusions are akin to sensations that are favorable to us problematically generalizes La Mettrie’s insight that some acts of the imagination have a quasi-perceptual nature. (shrink)

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