This is an English translation of Emilie Du Châtelet's "Sur la liberté." This 18th century text discusses freedom of the will, determinism, and divine foreknowledge. Translated from French by Julia Jorati, with the help of Julie Roy. French edition of this text, on which this translation is based: “Sur la liberté,” in Oeuvres complètes de Voltaire, vol. 14, edited by William H. Barber, 484–502. Oxford: Voltaire Foundation, 1989.

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)

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)

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)

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)

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)

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)

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)

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)

El siglo XVIII está considerado como una época en la que el método de investigación newtoniano está bien establecido y su uso no se cuestiona, según autores como Kuhn. Sin embargo, como veremos, esto está muy alejado de la realidad, ya que aquí planteamos los dos objetivos siguientes: por un lado, observaremos como dentro de los propios llamados newtonianos no hay un uso uniforme del método newtoniano y que algunos de ellos incluso lo modifican en sus obras donde exponen la (...) doctrina de Newton. Por otro lado, expondremos el método de Émilie du Châtelet, quien, habiendo leído a Newton y a estos pensadores, siente rechazo hacia la metodología que proponen y se dispone a elaborar lo que se puede considerar un precedente del método hipotético-deductivo utilizado hoy día. Lo que se persigue con el presente estudio, en definitiva, es arrojar luz sobre la situación del newtonianismo del siglo XVIII y mostrar el trabajo de du Châtelet como un puente entre dos épocas en relación a la metodología. (shrink)

I investigate Du Châtelet's contribution to the concept of time and position the relevance and content of that contribution between Leibniz and Kant. I argue that Du Châtelet advances Leibniz's concept of time by explaining how we form the idea of time in our mind and how time as an ideal being relates to succession in real beings. I show that Du Châtelet, differently to Kant, recognizes the dependency of time in its constitution on succession in "real (...) things" and that her concept of time is in this respect superior to Kant's. With a detailed investigation into Du Châtelet's notion of time in its own right and without prematurely "fitting" it into a defined debate between her contemporaries, I am aiming to reveal her original contribution to an understanding of time. I locate her concept of time in a context that is explicitly philosophical in terms of an investigation into how the idea of time is formed and constituted rather than a physical debate on the nature of time as a phenomenon relating to the movement of bodies. (shrink)

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.

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 (...) class='Hi'>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)

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

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)

This chapter discusses methodology in feminist history of philosophy and shows that women philosophers made interesting and original contributions to the debates concerning the cosmological argument. I set forth and examine the arguments of Mary Astell, Damaris Masham, Catherine Trotter Cockburn, Emilie Du Châtelet, and Mary Shepherd, and discuss their involvement with philosophical issues and debates surrounding the cosmological argument. I argue that their contributions are original, philosophically interesting, and result from participation in the ongoing debates and controversies about (...) the cosmological argument, causal principles, and necessary existence. (shrink)

På mange måter er dette en bok som blir utgitt alt for sent. Det er den første antologien av sitt slag, og retter fokus på kvinnelige metafysikere som virket i den tidlige moderne perioden (16. og tidlig 17. århundre). Redaktør Emily Thomas skriver i introduksjonen at til tross for at flere antologier om moderne metafysikk allerede finnes, er kvinnelige filosofer fortsatt underrepresentert og den filosofiske kanon mannsdominert. De ni filosofene som blir omtalt i totalt 13 kapitler var alle originale og (...) velkjente tenkere i sin samtid, men har blitt glemt i filosofihistoriens løp. (shrink)

Of all twentieth century philosophers, it is Gilles Deleuze whose work agitates most forcefully for a worldview privileging becoming over being, difference over sameness; the world as a complex, open set of multiplicities. Nevertheless, Deleuze remains singular in enlisting mathematical resources to underpin and inform such a position, refusing the hackneyed opposition between ‘static’ mathematical logic versus ‘dynamic’ physical world. This is an international collection of work commissioned from foremost philosophers, mathematicians and philosophers of science, to address the wide range (...) of problematics and influences in this most important strand of Deleuze’s thinking. Contributors are Charles Alunni, Alain Badiou, Gilles Châtelet, Manuel DeLanda, Simon Duffy, Robin Durie, Aden Evens, Arkady Plotnitsky, Jean-Michel Salanskis, Daniel Smith and David Webb. (shrink)

Proofs of God in Early Modern Europe offers a fascinating window into early modern efforts to prove God’s existence. Assembled here are twenty-two key texts, many translated into English for the first time, which illustrate the variety of arguments that philosophers of the seventeenth and eighteenth centuries offered for God. These selections feature traditional proofs—such as various ontological, cosmological, and design arguments—but also introduce more exotic proofs, such as the argument from eternal truths, the argument from universal aseity, and the (...) argument ex consensu gentium. Drawn from the work of eighteen philosophers, this book includes both canonical figures (such as Descartes, Spinoza, Newton, Leibniz, Locke, and Berkeley) and noncanonical thinkers (such as Norris, Fontenelle, Voltaire, Wolff, Du Châtelet, and Maupertuis). -/- Lloyd Strickland provides fresh translations of all selections not originally written in English and updates the spelling and grammar of those that were. Each selection is prefaced by a lengthy headnote, giving a biographical account of its author, an analysis of the main argument(s), and important details about the historical context. Strickland’s introductory essay provides further context, focusing on the various reasons that led so many thinkers of early modernity to develop proofs of God’s existence. -/- Proofs of God is perfect for both students and scholars of early modern philosophy and philosophy of religion. (shrink)

Diagrams by Connor Camburn -/- The relationship between axiomatization, mechanization, creative individuation, and virtual/physical individuation presents a fascinating interplay of concepts that have significantly influenced various fields, including mathematics, physics, philosophy, and art. This essay explores these relationships by drawing insights from André Weil's "From Metaphysics to Mathematics," Gilles Châtelet's works, and Schmid's discussion on Gnostic Futurism. -/- Axiomatization: Weil and Grothendieck -/- Axiomatization, as discussed in André Weil's "From Metaphysics to Mathematics," represents the transformation of metaphysical concepts into (...) formal mathematical structures. Weil's document highlights the progression from vague metaphysical ideas to concrete mathematical theories. This process is evident in the works of mathematicians like Lagrange and Galois, where initial metaphysical notions eventually crystallized into the formal structures of modern algebra. Similarly, Alexander Grothendieck's work in algebraic geometry involved the creation of an abstract framework that could unify various mathematical concepts, demonstrating the power of axiomatization in providing a foundational structure for complex ideas. -/- Mechanization: Oppenheimer, Watson-Crick, and Von Neumann -/- Mechanization, in the context of scientific development, refers to the application of mechanical principles to solve problems and the automation of processes. Figures like Oppenheimer in physics, Watson and Crick in biology, and Von Neumann in computing and mathematics, represent the pinnacle of mechanization in their respective fields. Their work exemplifies how mechanization has enabled the simplification and automation of complex processes, leading to alienating discoveries such as the atomic bomb, the structure of DNA, and the development of modern computers. -/- Creative Individuation: Gnostic Futurism -/- Eric Schmid's discussion on Gnostic Futurism, as found in his document, offers a perspective on creative individuation. Gnostic Futurism, rooted in Kantian-Hegelian transcendental universalism, represents a departure from conventional realism, emphasizing a transcendental nature and integration of mythopoeia. This movement in art and philosophy underscores the role of creativity and individual expression in transcending traditional forms and norms. It embodies the idea of creative individuation, where individual creativity leads to the formation of new, often revolutionary, artistic and philosophical expressions. -/- Virtual/Physical Individuation: Châtelet's Perspective -/- Gilles Châtelet's works, particularly "Figuring Space: Philosophy, Mathematics, and Physics," delve into the concept of virtual/physical individuation. Châtelet discusses the configuration of space in mathematics and physics, emphasizing the role of diagrams in scientific discovery. This exploration of space, both virtual (as in mathematical abstractions) and physical (as in tangible representations), reflects the process of individuation in both realms. Châtelet's perspective highlights how mathematical and physical representations are not just tools for understanding the world but are also expressions of individual and collective intellectual endeavors. -/- Interconnections and Synthesis -/- The synthesis of these concepts reveals a complex tapestry of intellectual development across disciplines. Axiomatization provides a foundational structure that enables the mechanization of processes, as seen in the works of Oppenheimer, Watson-Crick, and Von Neumann. This mechanization, in turn, paves the way for creative individuation, where individuals can transcend established norms and frameworks, as exemplified in Gnostic Futurism. Finally, the concept of virtual/physical individuation, as explored by Châtelet, represents the culmination of these ideas, where the abstract and the tangible intersect, leading to new forms of understanding and expression. -/- In conclusion, the relationship between axiomatization, mechanization, creative individuation, and virtual/physical individuation is a testament to the dynamic and interconnected nature of intellectual progress. From the formal structures of mathematics to the revolutionary changes in art and philosophy, these concepts demonstrate how human thought and creativity continue to evolve, challenging existing paradigms and forging new paths of understanding and expression. (shrink)