Critical Notice for: Metaphysics and the Philosophy of Science: New Essays. Edited by Matthew H. Slater and Zanja Yudell. Oxford University Press, 2017. x + 258 pp.

in Abortion and the Status of the Fetus, Volume XIII of the series, “Philosophy of Medicine,” eds. William B. Bondeson, H. Tristram Englehardt, Stuart Spicker, and Daniel H. Winship (Dordrecht, Holland/Boston, Massachusetts: D. Reidel, 1983), pp. 229-245.

Recently two distinct forms of rule-utilitarianism have been introduced that differ on how to measure the consequences of rules. Brad Hooker advocates fixed-rate rule-utilitarianism, while Michael Ridge advocates variable-rate rule-utilitarianism. I argue that both of these are inferior to a new proposal, optimum-rate rule-utilitarianism. According to optimum-rate rule-utilitarianism, an ideal code is the code whose optimum acceptance level is no lower than that of any alternative code. I then argue that all three forms of rule-utilitarianism fall prey to two fatal (...) problems that leave us without any viable form of rule-utilitarianism. (shrink)

William of Ockham (d. 1347) is well known for his commitment to parsimony and for his so-called ‘razor’ principle. But little is known about attempts among his own contemporaries to deflect his use of the razor. In this paper, I explore one such attempt. In particular, I consider a clever challenge that Ockham’s younger contemporary, Walter Chatton (d. 1343) deploys against the razor. The challenge involves a kind of dilemma for Ockham. Depending on how Ockham responds to this dilemma, his (...) razor will, Chatton argues, either prove unacceptably dull when it comes to determining ontological commitment or prove unacceptably sharp when it comes to determining commitments entailed by certain theological doctrines. While Chatton’s objection is subtle and interesting in its own right, the broader significance of the debate between these thinkers lies in the light it sheds on medieval approaches to issues surrounding metaphysical methodology. (shrink)

It is well-known that Chatton is among the earliest and most vehement critics of Ockham’s theory of judgment, but scholars have overlooked the role Chatton’s criticisms play in shaping Ockham’s final account. In this paper, I demonstrate that Ockham’s most mature treatment of judgment not only contains revisions that resolve the problems Chatton identifies in his earlier theories, but also that these revisions ultimately bring his final account of the objects of judgment surprisingly close to Chatton’s own. Even so, I (...) argue that, at the end of the day, there remain significant differences between their respective analyses of the structure and intentionality of judicative states. (shrink)

In his recent book Bad Beliefs and Why They Happen to Good People, Neil Levy argues that conspiracy theories result from the same rational processes that underlie epistemic success. While we think many of Levy’s points are valuable, like his criticism of the myth of individual cognition and his emphasis on the importance of one’s social epistemic environment, we believe that his account overlooks some important aspects. We argue that social deference is an active process, and as such can be (...) helped or hindered by epistemic virtues and vices. With this in mind, holders of bad beliefs acquire more responsibility than is considered by Levy. (shrink)

There is a traditional theistic doctrine, known as the doctrine of divine simplicity, according to which God is an absolutely simple being, completely devoid of any metaphysical complexity. On the standard understanding of this doctrine—as epitomized in the work of philosophers such as Augustine, Anselm, and Aquinas—there are no distinctions to be drawn between God and his nature, goodness, power, or wisdom. On the contrary, God is identical with each of these things, along with anything else that can be predicated (...) of him intrinsically. (shrink)

Few notions are more central to Aquinas’s thought than those of matter and form. Although he invokes these notions in a number of different contexts, and puts them to a number of different uses, he always assumes that in their primary or basic sense they are correlative both with each other and with the notion of a “hylomorphic compound”—that is, a compound of matter (hyle) and form (morphe). Thus, matter is an entity that can have form, form is an entity (...) that can be had by matter, and a hylomorphic compound is an entity that exists when the potentiality of some matter to have form is actualized.1 What is more, Aquinas assumes that the matter of a hylomorphic compound explains certain of its general characteristics, whereas its form explains certain of its more specific characteristics. Thus, the matter of a bronze statue explains the fact that it is bronze, whereas its form explains the fact that it is a statue. Again, the matter of a human being explains the fact that it is a material object, whereas its form explains the specific type of material object it is (namely, human). My aim in this chapter is to provide a systematic introduction to Aquinas’s primary or basic notions of matter and form. To accomplish this aim, I focus on the two main theoretical contexts in which he deploys them—namely, his theory of change and his theory of individuation. In both contexts, as we shall see, Aquinas appeals to matter and form to account for relations of sameness and difference holding between distinct individuals. (shrink)

The Christian doctrine of the Trinity poses a serious philosophical problem. On the one hand, it seems to imply that there is exactly one divine being; on the other hand, it seems to imply that there are three. There is another well-known philosophical problem that presents us with a similar sort of tension: the problem of material constitution. We argue in this paper that a relatively neglected solution to the problem of material constitution can be developed into a novel solution (...) to the problem of the Trinity. (shrink)

In this paper I challenge recent externalist interpretations of Ockham’s theory of intuitive cognition. I begin by distinguishing two distinct theses that defenders of the externalist interpretation typically attribute to Ockham: a ‘direct reference thesis’, according to which intuitive cognitions are states that lack all internal, descriptive content; and a ‘causal thesis’, according to which intuitive states are wholly determined by causal connections they bear to singular objects. I then argue that neither can be plausibly credited to Ockham. In particular, (...) I claim that the causal thesis doesn’t square with Ockham’s account of supernaturally produced intuition and that the direct reference thesis sits uneasily with Ockham’s characterization of the intentional structure of intuitive states. (shrink)

This paper explores William Ockham's account of memory with a view to understanding its implications for his account of the nature and persistence of human beings. I show that Ockham holds a view according to which memory (i) is a type of self-knowledge and (ii) entails the existence of an enduring psychological subject. This is significant when taken in conjunction with his account of the afterlife. For, Ockham holds that during the interim state—namely, after bodily death, but prior to bodily (...) resurrection—we retain and recall our embodied experiences. This entails that the subject of our embodied psychological states can survive in a disembodied state and continue to engage in characteristic rational activities—a claim that appears to run against Ockham's own commitment to a hylomorphic conception of human beings (as essentially material). A central aim of this paper is to explore the prospects for reconciling Ockham's account of interim memory with his account of human beings. (shrink)

In a recent article, Edward Wierenga defends a version of Social Trinitarianism according to which the Persons of the Trinity form a unique society of really distinct divine beings, each of whom has its own exemplification of divinity. In this paper, I call attention to several philosophical and theological difficulties with Wierenga’s account, as well as to a problem that such difficulties pose for Social Trinitarianism generally. I then briefly suggest what I take to be a more promising approach to (...) the Trinity. (shrink)

My aim in this paper is to advance our understanding of medieval approaches to consciousness by focusing on a particular but, as it seems to me, representative medieval debate. The debate in question is between William Ockham and Walter Chatton over the existence of what these two thinkers refer to as “reflexive intellective intuitive cognition”. Although framed in the technical terminology of late-medieval cognitive psychology, the basic question at issue between them is this: Does the mind (or “intellect”) cognize its (...) own states via higher-order (or “reflexive”) representational states? Their debate is representative both because it highlights the central dialectical issues and alternatives at play in medieval discussions of consciousness generally and because it showcases the two main types of approach to consciousness one finds in the later medieval period, namely, those that explain consciousness in terms of intentionality (typically, higher-order intentionality), and those that understand consciousness as a non-intentional, sui-generis mode of awareness. (shrink)

According to the doctrine of divine simplicity, God is an absolutely simple being lacking any distinct metaphysical parts, properties, or constituents. Although this doctrine was once an essential part of traditional philosophical theology, it is now widely rejected as incoherent. In this paper, I develop an interpretation of the doctrine designed to resolve contemporary concerns about its coherence, as well as to show precisely what is required to make sense of divine simplicity.

It is standardly assumed that there are three — and only three — ways to solve problem of temporary intrinsics: (a) embrace presentism, (b) relativize property possession to times, or (c) accept the doctrine of temporal parts. The first two solutions are favoured by endurantists, whereas the third is the perdurantist solution of choice. In this paper, I argue that there is a further type of solution available to endurantists, one that not only avoids the usual costs, but is structurally (...) identical to the temporal-parts solution preferred by perdurantists. In addition to providing a general characterization of this new type of solution, I discuss certain of its anticipations in the literature on bundle theory, as well as provide a detailed development of it in terms of my own preferred metaphysics of ordinary objects — namely, a distinctive form of substratum theory tracing to Aristotle. (shrink)

Commentators have long agreed that Wodeham’s account of objects of judgment is highly innovative, but they have continued to disagree about its proper interpretation. Some read him as introducing items that are merely supervenient on (and nothing in addition to) Aristotelian substances and accidents; others take him to be introducing a new type of entity in addition to substances and accidents—namely, abstract states of affairs. In this paper, I argue that both interpretations are mistaken: the entities Wodeham introduces are really (...) distinct from substances and accidents, but, like substances and accidents, they are concrete (rather than abstract). Moreover, the key to understanding the significance of his theory, I contend, lies in a proper understanding of the theoretical role these entities play in his theory of judgment. (shrink)

The theory of mind that medieval philosophers inherit from Augustine is predicated on the thesis that the human mind is essentially self-reflexive. This paper examines Peter John Olivi's (1248-1298) distinctive development of this traditional Augustinian thesis. The aim of the paper is three-fold. The first is to establish that Olivi's theory of reflexive awareness amounts to a theory of phenomenal consciousness. The second is to show that, despite appearances, Olivi rejects a higher-order analysis of consciousness in favor of a same-order (...) theory. The third and final is to show that, on his view, consciousness is both self-intimating and infallible. (shrink)

In this paper I examine William Ockham’s theory of judgment and, in particular, his account of the nature and ontological status of its objects. Commentators, both past and present, habitually interpret Ockham as defending a kind of anti-realism about objects of judgment. My aim in this paper is two-fold. The first is to show that the traditional interpretation rests on a failure to appreciate the ways in which Ockham’s theory of judgment changes over the course of his career. The second, (...) and larger, aim is to show that careful attention to these changes in Ockham’s account (and to the motivations for them) sheds new light on broader developments in his philosophy of mind—specifically, on his views about the nature of concepts and on his account of the nature and structure of intentionality itself. (shrink)

One is occasionally reminded of Foucault's proclamation in a 1970 interview that "perhaps, one day this century will be known as Deleuzian." Less often is one compelled to update and restart with a supplementary counter-proclamation of the mathematician, David Lindley: "the twenty-first century would be a Bayesian era..." The verb tenses of both are conspicuous. // To critically attend to what is today often feared and demonized, but also revered, deployed, and commonly referred to as algorithm(s), one cannot avoid the (...) mathematical and philosophical legacies of probability. // But attending to these probabilistic or Bayesian legacies must include an undeniable theological legacy in which they remain entangled. // We are not, today, discovering quirky theological metaphors in contemporary technics. It's the other way around. The technologies are mere metaphors of past theologies. (shrink)

This essay explores some of the central aspects of Aquinas's account of mental representation, focusing in particular on his views about the intentionality of concepts (or intelligible species). It begins by demonstrating the need for a new interpretation of his account, showing in particular that the standard interpretations all face insurmountable textual difficulties. It then develops the needed alternative and explains how it avoids the sorts of problems plaguing the standard interpretations. Finally, it draws out the implications of this interpretation (...) with the aim of correcting some persistent misunderstandings of the connection between Aquinas's views and those developed by contemporary philosophers of mind. (shrink)

In the opening chapter of the Monologion, Anselm offers an intriguing proof for the existence of a Platonic form of goodness. This proof is extremely interesting, both in itself and for its place in the broader argument for God’s existence that Anselm develops in the Monologion as a whole. Even so, it has yet to receive the scholarly attention that it deserves. My aim in this article is to begin correcting this state of affairs by examining Anslem’s proof in some (...) detail. In particular, I aim to clarify the proof’s structure, motivate and explain its central premises, and begin the larger project of evaluating its overall success as an argument for Platonism about goodness. (shrink)

Even though the evidence‐based medicine movement (EBM) labels mechanisms a low quality form of evidence, consideration of the mechanisms on which medicine relies, and the distinct roles that mechanisms might play in clinical practice, offers a number of insights into EBM itself. In this paper, I examine the connections between EBM and mechanisms from several angles. I diagnose what went wrong in two examples where mechanistic reasoning failed to generate accurate predictions for how a dysfunctional mechanism would respond to intervention. (...) I then use these examples to explain why we should expect this kind of mechanistic reasoning to fail in systematic ways, by situating these failures in terms of evolved complexity of the causal system(s) in question. I argue that there is still a different role in which mechanisms continue to figure as evidence in EBM: namely, in guiding the application of population‐level recommendations to individual patients. Thus, even though the evidence‐based movement rejects one role in which mechanistic reasoning serves as evidence, there are other evidentiary roles for mechanistic reasoning. This renders plausible the claims of some critics of evidencebased medicine who point to the ineliminable role of clinical experience. Clearly specifying the ways in which mechanisms and mechanistic reasoning can be involved in clinical practice frames the discussion about EBM and clinical experience in more fruitful terms. (shrink)

Twentieth century philosophers introduced the distinction between “objective rightness” and “subjective rightness” to achieve two primary goals. The first goal is to reduce the paradoxical tension between our judgments of (i) what is best for an agent to do in light of the actual circumstances in which she acts and (ii) what is wisest for her to do in light of her mistaken or uncertain beliefs about her circumstances. The second goal is to provide moral guidance to an agent who (...) may be uncertain about the circumstances in which she acts, and hence is unable to use her standard moral principle directly in deciding what to do. This paper distinguishes two important senses of “moral guidance”; proposes criteria of adequacy for accounts of subjective rightness; canvasses existing definitions for “subjective rightness”; finds them all deficient; and proposes a new and more successful account. It argues that each comprehensive moral theory must include multiple principles of subjective rightness to address the epistemic situations of the full range of moral decision-makers, and shows that accounts of subjective rightness formulated in terms of what it would reasonable for the agent to believe cannot provide that guidance. -/- . (shrink)

In this paper, I explore Augustine’s account of sense cognition in book 11 of De Trinitate. His discussion in this context focuses on two types of sensory state—what he calls “outer vision” and “inner vision,” respectively. His analysis of both types of state is designed to show that cognitive acts involving external and internal sense faculties are susceptible of a kind of trinitarian analysis. A common way to read De Trin. 11, is to interpret Augustine’s account of “outer” vision as (...) an analysis of sense perception and his account “inner” vision as an analysis of occurrent sensory memory and imagination. I argue against such a reading of De Trin. 11, however. Insofar as we take perception to be a phenomenally conscious mode of sensory awareness, outer vision cannot, I claim, be the equivalent of ordinary sense perception. For, on Augustine’s view, the deliverances of outer vision only reach the threshold of consciousness, when outer vision occurs in conjunction with inner vision. Hence, on my analysis, sense perception turns out to be a complex, hybrid state—one that involves both outer and inner vision. If I am right, acts of sense perception turn out not to be directly susceptible to trinitarian analysis. Even so, the account is interesting and nuanced for all that. (shrink)

Brian Leftow sets out to provide us with an account of Aquinas’s metaphysics of modality. Drawing on some important recent work, which is surely close to the spirit (if not quite the letter) of Aquinas’s thought, he frames his discussion in terms of “truthmakers”: what is it that makes true claims about possibility and necessity—that is to say, what serves as their ontological ground or ultimate metaphysical explanation? Leftow’s main thesis is that, for Aquinas, all true modal claims are made (...) true by one and the same thing—namely, God. Along the way, however, he also attempts to show that Aquinas’s endorsement of this thesis commits him to an objectionable form of Platonism about possible worlds. (shrink)

Ockham holds what nowadays would be characterized as a “higher-order perception” theory of consciousness. Among the most common objections to such a theory is the charge that it gives rise to an infinite regress in higher-order states. In this paper, I examine Ockham’s various responses to the regress problem, focusing in particular on his attempts to restrict the scope of consciousness so as to avoid it. In his earlier writings, Ockham holds that we are conscious only of those states to (...) which we explicitly attend. This view, I go on to argue, is inadequate on both phenomenological and philosophical grounds. Interestingly, and perhaps for this very reason, in later works, Ockham goes on to develop an alternative explanation for his account of the limited scope of consciousness. (shrink)

There is a real question about whether Anselm developed anything like a systematic ethical theory.1 Indeed, scholars have sometimes suggested that his treatment of ethical matters consists in little more than recapitulation of ethical principles implicit in Scripture or transmitted to him by Christian thinkers such as Augustine and Boethius.2 The truth of the matter, however, is quite the opposite. Although it is easy to overlook the systematic nature of Anselm’s ethical theorizing, as well as its genuine originality, his contribution (...) to medieval ethical theory is considerable. Admittedly, none of his philosophical or theological works is devoted to the systematic presentation of ethical issues; nor is there much novelty to be found in them at the level of specific ethical principles. Nonetheless, it is possible to extract from his works.. (shrink)

In this paper, I explore a prominent question of Hericlitean scholarship: how is change possible? Karl Popper and G. S. Kirk tackle this same question. Kirk asserts that Heraclitus believed that change is present on a macrocosmic level and that all change is regulated by the cosmic principle logos. Popper, on the other hand, claims Heraclitus believed that change is microcosmic and rejected that all change is regulated by logos. I argue for a combination of aspects from each of their (...) claims and conclude that change is present both microcosmically and macrocosmically and that all change is governed by logos . (shrink)

Are the workings of the international world to be explained scientifically, or are they to be understood through their inward meaning? In Explaining and Understanding International Relations philosopher Martin Hollis and international relations scholar Steve Smith join forces to analyse the dominant theories of international relations and to examine the philosophical issues underlying them. The book has three parts. In the first the authors review the growth of the discipline since 1918, pose the 'level of analysis' problem of whether to (...) account for a sytem in terms of its units or vice versa, and contrast the demand of scientific method with those of interpretative understanding. In the second they apply the contrast to four factors often cited in accounting for international behaviour - the international system, the state, bureaucracies, and decision-making individuals. Rival accounts of the games nations play are offered in readiness for the final part, where the authors propose a theoretical agenda, air their differences, and invite readers to take sides. By tackling deep theoretical issues with lucidity and verve this book will excite debate among theorists and students of international relations while also engaging thought about the philosophical character of the social sciences. (shrink)

This paper traces a rather peculiar debate between William Ockham, Walter Chatton, and Robert Holcot over whether it is possible for God to know more than he knows. Although the debate specifically addresses a theological question about divine knowledge, the central issue at stake in it is a purely philosophical question about the nature and ontological status of propositions. The theories of propositions that emerge from the discussion appear deeply puzzling, however. My aim in this paper is to show that (...) there is a way of making sense of these views (and, by implication, of much of what is puzzling about medieval theories of propositions). The key, I argue, lies in getting clear about the precise theoretical roles these thinkers assign to propositions in their accounts of propositional attitudes. (shrink)

For centuries it has been a mainstay of European and American moral thought that keeping promises—and the allied activity of upholding contracts—is one of the most important requirements of morality. On some historically powerful views the obligation to uphold promises or contracts not only regulates private relationships, but also provides the moral foundation for our duty to support and obey legitimate governments. Some theorists believe that the concept of keeping promises has gradually moved to center stage in European moral thought. (...) They see this movement as part of an historical shift from a moral conception in which an individual’s duties are mainly externally imposed and unalterable, to a conception in which duties are largely chosen by the individual. (shrink)

This article investigates religious ideals persistent in the datafication of information society. Its nodal point is Thomas Bayes, after whom Laplace names the primal probability algorithm. It reconsiders their mathematical innovations with Laplace's providential deism and Bayes' singular theological treatise. Conceptions of divine justice one finds among probability theorists play no small part in the algorithmic data-mining and microtargeting of Cambridge Analytica. Theological traces within mathematical computation are emphasized as the vantage over large numbers shifts to weights beyond enumeration in (...) probability theory. Collateral secularizations of predestination and theodicy emerge as probability optimizes into Bayesian prediction and machine learning. The paper revisits the semiotics and theism of Peirce and a given beyond the probable in Whitehead to recontextualize the critiques of providence by Agamben and Foucault. It reconsiders datafication problems alongside Nietzschean valuations. Religiosity likely remains encoded within the very algorithms presumed purified by technoscientific secularity or mathematical dispassion. (shrink)

It is well-known that Chatton is among the earliest and most vehement critics of Ockham’s theory of judgment, but scholars have overlooked the role Chatton’s criticisms play in shaping Ockham’s final account. In this paper, I demonstrate that Ockham’s most mature treatment of judgment not only contains revisions that resolve the problems Chatton identifies in his earlier theories, but also that these revisions ultimately bring his final account of the objects of judgment surprisingly close to Chatton’s own. Even so, I (...) argue that, at the end of the day, there remain significant differences between their respective analyses of the structure and intentionality of judicative states. (shrink)

I think it would be fair to say that, until about 1900, philosophers were generally reluctant to admit the existence of what are nowadays called polyadic properties.1 It is important to recognize, however, that this reluctance on the part of pre-twentieth-century philosophers did not prevent them from theorizing about relations. On the contrary, philosophers from the ancient through the modern period have had much to say about both the nature and the ontological status of relations. In this paper I examine (...) the views of one such philosopher, namely, Albert the Great. (shrink)

The primary focus of this project is the silent and subvocal speech-recognition interface unveiled in 2018 as an ambulatory device wearable on the neck that detects a myoelectrical signature by electrodes worn on the surface of the face, throat, and neck. These emerge from an alleged “intending to speak” by the wearer silently-saying-something-to-oneself. This inner voice is believed to occur while one reads in silence or mentally talks to oneself. The artifice does not require spoken sounds, opening the mouth, or (...) any explicit or external movement of the lips. The essay then considers such subvocal “speech” as a mode of writing or saying and the interior of the mouth or oral cavity as its writing surface. It briefly revisits discussions of telepathy to recontextualize Heidegger’s warning against enframing language exclusively within calculative technics and physiology, which he suggests is detrimental to Mundarten (mouth-modes of regional dialects). It closes in reconsideration of Husserl’s phenomenology of language and meaning in Ideas as it might apply to subvocal speech-recognition interfaces. It suggests ways by which the electrophysiology that the device detects and deciphers (as an alleged intention of a presumed natural language unspoken vocally or aloud) might supplement Husserl’s insinuation of the Leiblichkeit of language through a self-stamping extraction of an extension of meaning. (shrink)

"Brower explores the way philosophers were inspired by entomological social systems and communication to reflect on human psyche, social behavior, community organization, communication, and inter-individual relationships. His essay rehearses the swarms of insects embedded in contemporary philosophy and literary theory, not only showing how many of the major concepts (or philosophemes) in continental philosophy – sexuality, politics, thinking, time, interdependence, and language – draw lessons from the world of insects, but also illustrating again how the insect world spurred human (...) reflection.". (shrink)

Perhaps nowhere better than, "On the Names of God," can readers discern Laclau's appreciation of theology, specifically, negative theology, and the radical potencies of political theology. // It is Laclau's close attention to Eckhart and Dionysius in this essay that reveals a core theological strategy to be learned by populist reasons or social logics and applied in politics or democracies to come. // This mode of algorithmically informed negative political theology is not mathematically inert. It aspires to relate a fraction (...) or ratio to a series ... It strains to reduce the decided determinateness of such seriality ever condemned to the naive metaphysics of bad infinity. // It is worth considering that it is the specific 'number' of Dionysius in differential identification with an ineffable god (and, as such, a singular becoming between theology and numbers) that is floating in at least two dimensions [of signification] (be it political Demand on the horizontal dimension or theological Desire on [a] floating dimension) that cannot but *perform the link that relinks* names of god with any political life, populist reason, social justice, or radical democracy straining toward peace. (shrink)

Peter Abelard is one of the greatest philosophers of the medieval period. Although best known for his views about universals and his dramatic love affair with Heloise, he made a number of important contributions in metaphysics, logic, philosophy of language, mind and cognition, philosophical theology, ethics, and literature. The essays in this volume survey the entire range of Abelard's thought, and examine his overall achievement in its intellectual and historical context. They also trace Abelard's influence on later thought and his (...) relevance to philosophical debates today. (shrink)

On the dominant interpretation, Ockham is an externalist about mental content. This reading is founded principally on his theory of intuitive cognition. Intuitive cognition plays a foundational role in Ockham’s account of concept formation and judgment, and Ockham insists that the content of intuitive states is determined by the causal relations such states bear to their objects. The aim of this paper is to challenge the externalist interpretation by situating Ockham’s account of intuitive cognition vis-à-vis his broader account of efficient (...) causation. While there can be no doubt that intuitive states are causally individuated, I argue that, given Ockham’s broader theory of efficient causation (on which causation turns out to be an internal relation), this very fact entails that the content of such states is determined by factors internal (rather than external) to the states themselves. (shrink)

A finer-grained delineation of a given explanandum reveals a nexus of closely related causal and non- causal explanations, complementing one another in ways that yield further explanatory traction on the phenomenon in question. By taking a narrower construal of what counts as a causal explanation, a new class of distinctively mathematical explanations pops into focus; Lange’s characterization of distinctively mathematical explanations can be extended to cover these. This new class of distinctively mathematical explanations is illustrated with the Lotka-Volterra equations. There (...) are at least two distinct ways those equations might hold of a system, one of which yields straightforwardly causal explanations, but the other of which yields explanations that are distinctively mathematical in terms of nomological strength. In the first, one first picks out a system or class of systems, finds that the equations hold in a causal -explanatory way; in the second, one starts with the equations and explanations that must apply to any system of which the equations hold, and only then turns to the world to see of what, if any, systems it does in fact hold. Using this new way in which a model might hold of a system, I highlight four specific avenues by which causal and non- causal explanations can complement one another. (shrink)

In this field guide, I distinguish five separate senses with which the term ‘mechanism’ is used in contemporary philosophy of science. Many of these senses have overlapping areas of application but involve distinct philosophical claims and characterize the target mechanisms in relevantly different ways. This field guide will clarify the key features of each sense and introduce some main debates, distinguishing those that transpire within a given sense from those that are best understood as concerning distinct senses. The ‘new mechanisms’ (...) sense is at the center of most of these contemporary debates and will be treated at greater length; subsequent senses of mechanism will be primarily distinguished from this one. In part I of this paper, I distinguish two senses of the term ‘mechanism’, both of which are explicitly hierarchical and nested in character, such that any given mechanism is comprised of smaller sub-mechanisms, in turn comprised of yet smaller sub-sub-mechanisms and so on. While both of the senses discussed here are anti-reductive, they differ in their focus on scientific practice versus metaphysics, in the degree of regularity they attribute to mechanisms, and in terms of their relationships to the discussions of mechanisms in the history of philosophy and science. (shrink)