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)

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.

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)

For Émilie Du Châtelet, I argue, a central role of the principle of sufficient reason is to discriminate between better and worse explanations. Her principle of sufficient reason does not play this role for just any conceivable intellect: it specifically enables understanding for minds like ours. She develops this idea in terms of two criteria for the success of our explanations: “understanding how” and “understanding why.” These criteria can respectively be connected to the determinateness and contrastivity of explanations. The crucial (...) role Du Châtelet’s principle of sufficient reason plays in identifying good explanations is often overlooked in the literature, or else run together with questions about the justification and likelihood of explanations. An auxiliary goal of the article is to situate Du Châtelet’s principle of sufficient reason with respect to some of the general epistemological and metaphysical commitments of her Institutions de Physique, clarifying how it fits into the broader project of that work. (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)

The following article describes a pilot study on the possible integration of digital historiography into teaching practice. It focuses on Émilie Du Châtelet’s considerations of space and time against the background of Leibniz’s program of analysis situs. Historians have characterized philosophical controversies on space and time as a dichotomy between the absolute and relational concepts of space and time. In response to this, the present case study pursues two aims: First, it shows that the common portrayal simplifies the complex pattern (...) of change and the semantic shift from absolute-relational concepts of space and time to invariance and conservation principles. Second, against this background, I present the Online Reading Guide on Émilie Du Châtelet’s Foundations of Physics, a teaching and research project designed to help navigate Du Châtelet’s Institutions physiques. This project makes Du Châtelet’s important text visible to a broad audience and allows for a more critical and deeper view on classical topics of the history of philosophy and science in a more accessible way than traditional introductions. (shrink)

I show that unlike her rationalist predecessor Leibniz, Du Châtelet is committed to epistemic causal idealism about natural causes. According to this view, it is constitutive of natural causes that they are in principle knowable by us (i.e., finite intelligent beings). Du Châtelet’s causal idealism stems at least in part from the distinctive theoretical role played by the Principle of Sufficient Reason in her system (as presented in her _Institutions de physique_), as well as her argument for the Principle of (...) Sufficient Reason. I show that far from merely explicating Leibniz’s metaphysics, Du Châtelet develops a radical and novel rationalism that is in keeping with her core commitment to science. (shrink)

In this paper, I analyse Émilie Du Châtelet’s (1706–49) account of causation which, in turn, is crucial for understanding her philosophical main work, the Institutions de physique (1740/1742). So far, the topic of causation in Du Châtelet’s thought has received but little attention despite its importance. I will show that Du Châtelet’s account of physical causation is that of physical influx much in line with the position taken by some of the most prominent eighteenth-century German metaphysicians at the time of (...) the publication of her Institutions: Martin Knutzen (1713–49), Johann Peter Reusch (1691–1758) and the pre-Critical Immanuel Kant (1724–1804). I will argue that physical influx takes place at the level of simple substances or physical monads, and I will defend my interpretation against the main objection to physical influx: that it conflicts with Leibniz’s non-transfer argument. The ultimate metaphysical details regarding how physical influx has to be understood remain an issue, that of understanding the causality of the cause. This, however, is an issue that other causal theories face, too (in their own way). (shrink)