Merold Westphal's book is a wonderful introduction to the history of philosophy.

Martin Buber is a religious philosopher asking the question: what is the nature of man? Human persons are dialogical beings, who are ultimately related to God as the creator of the universe. This philosophy of dialogue is part of a general area of investigation, called Philosophical Anthropology.

Wonderful reflections on the history of Western thought.

Professor John Cowburn, S.J., not only investigates ethical theory, but he successfully discusses the religious ideas of our tradition and applies them to topics which are relevant in our everyday lives. In his book LOVE he provides a useful guide to young people.

Professor Beatrice Longuenesse draws our attention to the most important aspect of Kant's Critical Philosophy, namely that it is a system of logic.

Professor Phillipp H. Wiebe draws our attention to what aspects of our religious tradition is understandable by every human being on this planet.

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)

It is widely held that, in his pre-Critical works, Kant endorsed a necessitation account of laws of nature, where laws are grounded in essences or causal powers. Against this, I argue that the early Kant endorsed the priority of laws in explaining and unifying the natural world, as well as their irreducible role in in grounding natural necessity. Laws are a key constituent of Kant’s explanatory naturalism, rather than undermining it. By laying out neglected distinctions Kant draws among types of (...) natural law, grounding relations, and ontological levels, I show that his early works present a coherent and sophisticated laws-first account of the natural order. (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)

Polarization is a topic of intense interest among social scientists, but there is significant disagreement regarding the character of the phenomenon and little understanding of underlying mechanics. A first problem, we argue, is that polarization appears in the literature as not one concept but many. In the first part of the article, we distinguish nine phenomena that may be considered polarization, with suggestions of appropriate measures for each. In the second part of the article, we apply this analysis to evaluate (...) the types of polarization generated by the three major families of computational models proposing specific mechanisms of opinion polarization. (shrink)

Conflict is a ubiquitous feature of community life, and communities based on inquiry are no exception. Sometimes, conflict escalates into crisis. A crisis may help a community by providing opportunities for its members to recognize and ameliorate their shortcomings, but it may also destroy a community or limit its ability to sustain productive projects. In this discussion, I articulate two orientations towards crisis: crisis-philia (loving crises and seeking them out) and crisis-phobia (fearing crises and seeking to avoid them). I argue, (...) drawing heavily from my experience as a participant in the Summer Seminar of the Institute for the Advancement of Philosophy for Children, that neither orientation is satisfactory. Instead of crisis-philia or crisis-phobia, we ought to get into the habit of inquiring, as a community, about whether our current obstacles to accomplishing our work derive from being constrained by too much (imperfect) structure or from too little stability. When we find it is the former, we ought to seek crises; when we find it is the latter, we ought to avoid crises. After making my case, I offer an example of what it looks look like to implement this conclusion in practice. (shrink)

The aim of this paper is to bring recent work on metaphysical grounding to bear on the phenomenon of social construction. It is argued that grounding can be used to analyze social construction and that the grounding framework is helpful for articulating various claims and commitments of social constructionists, especially about social identities, e.g., gender and race. The paper also responds to a number of objections that have been leveled against the application of grounding to social construction from Elizabeth Barnes, (...) Mari Mikkola, and Jessica Wilson. (shrink)

Obligations to reduce one’s green house gas emissions appear to be difficult to justify prior to large-scale collective action because an individual’s emissions have virtually no impact on the environmental problem. However, I show that individuals’ emissions choices raise the question of whether or not they can be justified as fair use of what remains of a safe global emissions budget. This is true both before and after major mitigation efforts are in place. Nevertheless, it remains difficult to establish an (...) obligation to reduce personal emissions because it appears unlikely that governments will in fact maintain safe emissions budgets. The result, I claim, is that under current conditions we lack outcome, fairness, promotional, virtue or duty based grounds for seeing personal emissions reductions as morally obligatory. (shrink)

A consumer health information system must be able to comprehend both expert and non-expert medical vocabulary and to map between the two. We describe an ongoing project to create a new lexical database called Medical WordNet (MWN), consisting of medically relevant terms used by and intelligible to non-expert subjects and supplemented by a corpus of natural-language sentences that is designed to provide medically validated contexts for MWN terms. The corpus derives primarily from online health information sources targeted to consumers, and (...) involves two sub-corpora, called Medical FactNet (MFN) and Medical BeliefNet (MBN), respectively. The former consists of statements accredited as true on the basis of a rigorous process of validation, the latter of statements which non-experts believe to be true. We summarize the MWN / MFN / MBN project, and describe some of its applications. (shrink)

I reconstruct J. H. Lambert’s views on how practical grounds relate to epistemic features, such as certainty. I argue, first, that Lambert’s account of moral certainty does not involve any distinctively practical influence on theoretical belief. However, it does present an interesting form of fallibilism about justification as well as a denial of a tight link between knowledge and action. Second, I argue that for Lambert, the persistence principle that underwrites induction is supported by practical reasons to believe; this indicates (...) that Lambert is a moderate pragmatist about reasons for theoretical belief. (shrink)

In the last two decades, WORDNET has evolved as the most comprehensive computational lexicon of general English. In this article, we discuss its potential for supporting the creation of an entirely new kind of information resource for public health, viz. MEDICAL WORDNET. This resource is not to be conceived merely as a lexical extension of the original WORDNET to medical terminology; indeed, there is already a considerable degree of overlap between WORDNET and the vocabulary of medicine. Instead, we propose a (...) new type of repository, consisting of three large collections of (1) medically relevant word forms, structured along the lines of the existing Princeton WORDNET; (2) medically validated propositions, referred to here as medical facts, which will constitute what we shall call MEDICAL FACTNET; and (3) propositions reflecting laypersons’ medical beliefs, which will constitute what we shall call the MEDICAL BELIEFNET. We introduce a methodology for setting up the MEDICAL WORDNET. We then turn to the discussion of research challenges that have to be met in order to build this new type of information resource. (shrink)

ABSTRACT This article distinguishes nine senses of polarization and provides formal measures for each one to refine the methodology used to describe polarization in distributions of attitudes. Each distinct concept is explained through a definition, formal measures, examples, and references. We then apply these measures to GSS data regarding political views, opinions on abortion, and religiosity—topics described as revealing social polarization. Previous breakdowns of polarization include domain-specific assumptions and focus on a subset of the distribution’s features. This has conflated multiple, (...) independent features of attitude distributions. The current work aims to extract the distinct senses of polarization and demonstrate that by becoming clearer on these distinctions we can better focus our efforts on substantive issues in social phenomena. (shrink)

Kyle Stanford has recently given substance to the problem of unconceived alternatives, which challenges the reliability of inference to the best explanation (IBE) in remote domains of nature. Conjoined with the view that IBE is the central inferential tool at our disposal in investigating these domains, the problem of unconceived alternatives leads to scientific anti-realism. We argue that, at least within the biological community, scientists are now and have long been aware of the dangers of IBE. We re-analyze the nineteenth-century (...) study of inheritance and development (Stanford’s case study) and extend it into the twentieth century, focusing in particular on both classical Mendelian genetics and the studies by Avery et al. on the chemical nature of the hereditary substance. Our extended case studies show the preference of the biological community for a different methodological standard: the vera causa ideal, which requires that purported causes be shown on non-explanatory grounds to exist and be competent to produce their effects. On this basis, we defend a prospective realism about the biological sciences. (shrink)

When performing a skilled action—whether something impressive like a double somersault or something mundane like reaching for a glass of water—you exercise control over your bodily movements. Specifically, you guide their course. In what does that control consist? In this dissertation, I argue that it consists in attending to what you are doing. More specifically, in attending, agents harness their perceptual and perceptuomotor states directly and practically in service of their goals and, in doing so, settle the fine-grained manner in (...) which their bodies will move—details an intention alone leaves unsettled. This requires, among other things, that we reject views on which agents’ control is identical with their practical rationality. When all goes well, agents attentionally prioritize what is motivationally relevant to them to the exclusion of what would otherwise distract them from achieving their goals. However, sometimes agents attend distractedly—i.e., without prioritizing. As the aim of attention is to avoid distraction, this entails the possibility of defective attention. Defective attention, in turn, casts light on scenarios in which agents lose control over what they are doing, as when a skilled practitioner ‘chokes under pressure’. A complaint sometimes levelled against accounts, like mine, that claim to reduce agents’ control of their behaviour to that of causally efficacious mental states or events is that these accounts invariably deprive agents themselves of their rightful role in the generation of behaviour. This is the “Disappearing Agent Problem” for “reductive” or “event-causal” theories of action. I argue that, correctly understood, extant reductive theories do face a genuine Disappearing Agent Problem. However, it is a problem we solve by recognizing the role that conscious attention plays in making an action the agent’s own. Accordingly, I develop and defend an attentional account of action ownership. On this view, allocating conscious attention in service of your goals is sufficient for a kind of conscious perspective (“motivational perspective”), which, when active in controlling your behaviour, constitutes the behaviour as your own doing. As I explain, such perspective also contributes to explaining the subjective structure of your perceptual awareness of the world around you. (shrink)

I investigate whether degreed beliefs are able to play the predictive, explanatory, and modeling roles that they are frequently taken to play. The investigation focuses on evidence—both from sources familiar in epistemology as well as recent work in behavioral economics and cognitive psychology—of variability in agents' apparent degrees of belief. Although such variability has been noticed before, there has been little philosophical discussion of its breadth or of the psychological mechanisms underlying it. Once these are appreciated, the inadequacy of degrees (...) of belief becomes clear. I offer a theoretical alternative to degrees of belief, what I call the filter theory. (shrink)

In this paper, I will discuss an objection to Buck-Passing accounts of value, such as Reasons Fundamentalism. Buck-Passing views take value to be derivative of or reducible to reasons. The objection is that since there can be value in possible worlds in which there are no reasons, value must not be ontologically derivative of reasons. Thus, BP is false. In this paper, I show that by accepting a dispositionalist revision, BP can allow such worlds while maintaining that reasons are interestingly (...) prior to value, and without having to adopt any controversial metaphysics. I show this by exploring the debate over the nature of dispositions, identifying the diverse resources BP can appeal to. The paper proceeds as follows. I first explain BP. Next, I discuss a few versions of the challenge, settling on what seems to be the strongest form. Following this, I show that on many accounts of dispositions, while we should accept that particular instances of dispositions are prior to their particular manifestations, we should also accept that there is a sense in which dispositions are dependent on their manifestations. This provides BP with resources to respond to the challenge: BP can accept a dispositional revision, without committing to a theory of dispositions. Finally, I will respond to two objections. The first is about whether there are dispositions with impossible manifestations, contrary to my thesis that dispositions depend on their manifestations. The second is about whether there could be value where it would be impossible for that value to give reasons. (shrink)

Adam Smith sought to explain the persistence of slavery as an institution in Wealth of Nations and Lectures on Jurispridence. In order to accomplish this he also drew on arguments he had developed in the Theory of Moral Sentiments. The result was a sophisticated explanation which bridged economic, psychological, and moral considerations. After presenting Smith’s explanation I will consider a discussion of the moral wrong of slavery in Ottobah Cugoano, the author of the incisive criticism of the slave trade Thoughts (...) and Sentiments on the Evil of Slavery (1787). I will suggest that Cugoano’s account of what is morally wrong in slavery shows an important lacuna in Smith‘s views. (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 criticize the idea that theories of ‘fragmented’ or ‘compartmentalized’ belief (as found in, e.g., Lewis 1982, Egan 2008) can help to account for the puzzling phenomena they are often taken to account for. After introducing fragmentationalism and a paradigm case that purportedly motivates it, I criticize the view primarily on the grounds that the models and explanations it offers are at best trivial—as witnessed by examples of over-generation—and should be seen as merely re-describing in figurative terms the phenomena it (...) is designed to account for. I also point out that fragments, as used in these theories, are not likely to be psychologically real in any robust sense and so cannot be appealed to on such grounds. (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)

There appear to be few ways available to improve the prospects for international cooperation to address the threat of global warming within the very short timeframe for action. I argue that the most effective and plausible way to break the ongoing pattern of delay in the international climate regime is for economically powerful states to take the lead domestically and demonstrate that economic welfare is compatible with rapidly decreasing GHG emissions. However, the costs and risks of acting first can be (...) very large. This raises the question of whether it is fair to expect some states to go far ahead of others in an effort to improve the conditions for cooperation. I argue that a costly obligation to act unilaterally and to accept weak initial reciprocity can be justified and does not violate standards of fair burden sharing. Rather, the costs of creating the underlying conditions within which we can hope to achieve meaningful international cooperation are non-­‐ideal burdens for which we can appropriately assign fair shares. (shrink)

In this paper, I investigate backward-looking accounts of death's badness. I begin by reviewing deprivationism—the standard, forward-looking account of death's badness. On deprivationism, death is bad for its victims when it deprives them of a good future. This account famously faces two problems—Lucretius’s symmetry problem and the preemption problem. This motivates turning to backward-looking accounts of death's badness on which death is bad for its victim (in a respect) when it involves a decline from a good life. I distinguish three (...) different backward-looking accounts of death's badness in terms of decline, and I argue for the attractiveness of one in particular. I conclude by considering how the backward-looking consideration of decline might factor into our overall account of death's badness. (shrink)

The analogy between gustatory taste and critical or aesthetic taste plays a recurring role in the history of aesthetics. Our interest in this article is in a particular way in which gustatory judgments are frequently thought to be analogous to critical judgments. It appears obvious to many that to know how a particular object tastes we must have tasted it for ourselves; the proof of the pudding, we are all told, is in the eating. And it has seemed just as (...) obvious to many philosophers that aesthetic judgment requires first-person experience. In this article we argue that, despite its initial appeal, the claim that gustatory and critical judgments are analogous in this way is mistaken. The two sorts of judgments are, as a matter of fact, similar in their epistemology, but earlier theorists have got things entirely backward—neither gustatory judgment nor aesthetic judgment requires first-hand acquaintance with their objects. Our particular focus in this article is on arguing that first-person experience is not required to know how an item of food or drink tastes. In fact, there are a wide variety of ways in which we can acquire this knowledge. (shrink)

Christopher Wellman is the strongest proponent of the natural-duty theory of political obligations and argues that his version of the theory can satisfy the key requirement of ; namely, justifying to members of a state the system of political obligations they share in. Critics argue that natural-duty theories like Wellman's actually require well-ordered states and/or their members to dedicate resources to providing the goods associated with political order to needy outsiders. The implication is that natural-duty approaches weaken the particularity requirement (...) and cannot justify to citizens the systems of political obligation they share in. I argue that the critics’ diagnosis of natural-duty approaches is correct, whereas the proposed implication is false. I maintain that 1) only natural-duty approaches can justify political obligations, and that 2) weakening the particularity requirement contributes to the theory's ability to justify a range-limited system of political obligations among compatriots. (shrink)

William Whewell raised a series of objections concerning John Stuart Mill’s philosophy of science which suggested that Mill’s views were not properly informed by the history of science or by adequate reflection on scientific practices. The aim of this paper is to revisit and evaluate this incisive Whewellian criticism of Mill’s views by assessing Mill’s account of Michael Faraday’s discovery of electrical induction. The historical evidence demonstrates that Mill’s reconstruction is an inadequate reconstruction of this historical episode and the scientific (...) practices Faraday employed. But a study of Faraday’s research also raises some questions about Whewell’s characterization of this discovery. Thus, this example provides an opportunity to reconsider the debate between Whewell and Mill concerning the role of the sciences in the development of an adequate philosophy of scientific methodology.Keywords: Inductivism; Experiment; Theory; Methodology; Electromagnetism. (shrink)

The fact that philosophy is systematic—that philosophical issues are thoroughly interconnected—was a commonplace among nineteenth century idealists, then neglected by analytic philosophers throughout much of the twentieth century, and has now finally started to get some renewed attention. But other than calling attention to the fact, few philosophers have tried to say what it consists in, or what its implications are. -/- I argue that the systematicity of philosophy has disastrous epistemological implications. In particular, it implies philosophical skepticism: philosophers are (...) rationally prohibited from believing any philosophical thesis. The argument goes by way of a new principle that connects inquiry with what is rational to believe. I conclude with a discussion of the relationship between my argument and other, more well-trodden arguments for philosophical skepticism. (shrink)

Within the literature in green political theory on global environmental threats one can often find dissatisfaction with liberal theories of justice. This is true even though liberal cosmopolitans regularly point to global environmental problems as one reason for expanding the scope of justice beyond the territorial limits of the state. One of the causes for scepticism towards liberal approaches is that many of the most notable anti-cosmopolitan theories are also advanced by liberals. In this paper, I first explain why one (...) of the strongest expressions of liberal anti-cosmopolitanism cannot simply be dismissed because it may fail to support desired environmental ends. The political conception of justice represents one of the most important challenges to cosmopolitanism generally and is thus a serious challenge to viewing global environmental problems in terms of cosmopolitan justice. Second, I will show through the case of anthropogenic global warming that the political conception of justice under current conditions does have clear cosmopolitan implications despite its proponents' claims. (shrink)

Draft for presentation at the 14th International Kant-Congress, September 2024. -/- Abstract: Kant claims we intuit infinite space. There’s a problem: Kant thinks full awareness of infinite space requires synthesis—the act of putting representations together and comprehending them as one. But our ability to synthesize is finite. Tobias Rosefeldt has argued in a recent paper that Kant’s notion of decomposing synthesis offers a solution. This talk criticizes Rosefeldt’s approach. First, Rosefeldt is committed to nonconceptual yet determinate awareness of (potentially) infinite (...) space, but I argue that such awareness is (1) prima facie implausible, as well as contravened by textual evidence from Kant’s (2a) definitions of ‘infinity’ and (2b) account of geometrical construction. Second, scrutiny of how Kant thinks awareness of potential infinity is afforded by geometrical construction (e.g., extending a line segment ad indefinitum) indicates no essential role for decomposing synthesis. Familiar synthesis from parts to wholes is sufficient. (shrink)

Here we focus on two questions: What is the proper semantics for deontic modal expressions in English? And what is the connection between true deontic modal statements and normative reasons? Our contribution towards thinking about the first, which makes up the bulk of our paper, considers a representative sample of recent challenges to a Kratzer-style formal semantics for modal expressions, as well as the rival views—Fabrizio Cariani’s contrastivism, John MacFarlane’s relativism, and Mark Schroeder’s ambiguity theory—those challenges are thought to motivate. (...) These include the Professor Procrastinate challenge to Inheritance (the principle that ‘If ought p and p entails q, then ought q), as well as Parfit’s miners puzzle regarding information-sensitive deontic modals. Here we argue that a Kratzer-style view is able to meet all of the challenges we’ll consider. In addition, we’ll identify challenges for each of those rival views. Our overall conclusion is that a Kratzer-style semantics remains the one to beat. With this assumption in place, we then ask how we should understand the relationship between true deontic modal statements and normative reasons. Should, for example, we hold that the truth of such a statement entails the existence of a normative reason for some agent to comply? Here we argue that, in many cases, acceptance of Kratzer’s semantics for deontic modals leaves open for substantive normative theorizing the question of whether an agent has a normative reason to comply with what she ought to do. (shrink)

Recent work has explored the extent to which intercollegiate athletics even belong at the university or meet the university’s mission. Just as play seems evident in athletics, it is also present in music, art, and theater. While these programs are popular targets when discussing possible cuts, few question their legitimacy at the university. In this article I argue that the justification for retaining the extracurricular status of intercollegiate sports should be based on their being especially playful. Indeed, on the basis (...) of this argument, I suggest that universities offer even greater and wider access to sport through club and intramural sports. However, while athletics might appear to be more playful, I hold that there is substantially more play present in university music, art, and theater programs than there is in intercollegiate sports. (shrink)

As is usually the case with what I work on, I read some stuff I liked. I 1 read an article on comics by Greg Hayman and Henry Pratt and some work on 2 videogames,GrantTavinor’sreallyexcellentworkonthattopic. Ifoundthematerial interesting and I thought I had something to say about it. That’s what usually motivates me and that’s what did in these cases. With comics, my interest in the medium played a big role. I was a child collector of Marvel. I got turned on (...) to independent and alternative comics about ten years ago by a good friend who’s a successful comics artist and that played a role in my writing about comics. (shrink)

I argue that embryonic stem cell research is fair to the embryo, even on the assumption that the embryo has attained full personhood and an attendant right to life at conception. This is because the only feasible alternatives open to the embryo are to exist briefly in an unconscious state and be killed or to not exist at all. Hence, one is neither depriving the embryo of an enduring life it would otherwise have had nor is one causing the embryo (...) pain. I also argue that a rational agent in a situation relevantly similar to that of the embryo would consent to such research, and I use this insight to ground two justice-based arguments in favor of this research. (shrink)

I present three versions of the argument from divine hiddenness that are grounded in moral considerations regarding how a just deity would act and auxiliary commitments that theists often have. First, I argue that the problem of hiddenness is made worse if one also holds that many will suffer in the afterlife due to not achieving a proper orientation towards God and the demands of morality in this life. Second, I argue that if any version of the moral argument for (...) theism is successful, then God has a very good reason to not remain hidden. Third, I argue that a just God would not allow people to do evil in her name. (shrink)

This article presents an argument for atheism that contains a premise stated from the first-person perspective and that is intended to rationally persuade people who satisfy certain conditions. The argument also contains a premise about what God would do, if God existed, that is acceptable to theists and is affirmed in some major monotheistic religious traditions. This article explains how the argument differs from some other familiar arguments for atheism and then discusses some critical responses to it.

Liberalism has a complicated and sometimes uneasy relationship with truth. On one hand, liberalism requires that truth be widely valued and widely shared. It demands that governments be truthful and that citizens have ready access to numerous truths. Some liberals even take facilitating the discovery and dissemination of truth to be part of the raison d’être of liberal institutions. On the other hand, liberalism is averse to proclaiming or enforcing truth. It detaches truth from political legitimacy and deems certain truths (...) unfit to serve as bases of government. Some liberals have even suggested that liberal theory must work “without the concept of truth.” How has liberalism come to both demand truth and eschew it? This introductory section provides the beginnings of an answer by surveying some of the origins and core elements of liberal thought. (shrink)

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)