Laws of Nature, Miscellaneous

The paper discusses various conceptions of determinism.

We argue that if there are laws of nature, then there must also be accidents. If the “laws” in a world suffice to determine the world’s entire history, then these “laws” cannot play various central roles characteristic of laws, and thus (we conclude) they are not laws at all. Many proposed accounts of lawhood (primitivist accounts, universals accounts, the Best System Account, the Package Deal Account, essentialist accounts) inappropriately permit worlds with laws but no accidents. We identify two otherwise dissimilar (...) accounts that correctly (on our view) deem such worlds impossible; one is Humean and the other is non-Humean. (shrink)

I describe three extant attempts to identify global external symmetries within a Humean framework with theorems of some or other deductive systematization of the world: the best system, a best meta-system, and a maximally simple system. Each has merits, but also serious flaws. Instead, I propose a view of global external symmetries as consequences of the structure of Humean-consistent world-making relations.

The ‘great divide’ in the metaphysics of science is between Humean approaches—which reduce scientific laws (and related modalities) to patterns of occurrent facts—and anti-Humean approaches—where laws stand apart from the patterns of events, making those events hold. There is a vast literature on this debate, with many problems raised for the Humean. But a major problem comes right at the start—what’s the motivation for Humeanism in the first place? This is rather unclear. In fact Maudlin, and other anti-Humeans, claim that (...) there is no good motivation for Humeanism. I criticize a few influential approaches to motivating Humeanism—in particular those based on empiricism, pragmatism, and fidelity to science. In their place I suggest a different type of motivation, which has not received much attention in the literature, that rests on considerations of the role of unification in scientific understanding. (shrink)

According to the Humean Best Systems Account, laws are generalizations in the best systematization of non-modal matters of fact. Recently, it has become popular to interpret the notion of a best system pragmatically. The _best_ system is sensitive to our interests—that is, to our goals, abilities, and limitations. This account promises a metaphysically minimalistic analysis of laws, but I argue that it is not as minimalistic as it might appear. Some of the concepts it employs are modally robust, leading to (...) a dilemma. (shrink)

Super-Humeans argue that the most parsimonious ontology of the natural world compatible with our best physical theories consists exclusively of particles and the distance relations between them. This paper argues by contrast that Super-Humean reduction goes insufficiently far, by showing there to be a more parsimonious ontology compatible with physics: Ultimate-Humeanism. This novel view posits an ontology consisting solely of the particles and distance relations required for the existence of a single brain. Super-Humeans impose conditions on what counts as an (...) ontology of the natural world to avoid their view slipping into this kind of ontology, but these conditions are arbitrarily imposed and once this is exposed, Super-Humeans face a dilemma. Either they can embrace Ultimate-Humeanism as the minimal ontology of the natural world compatible with physics, or (more likely) they can rethink the methodology that got them there. Overall, this paper argues that Super-Humeanism currently lacks principled motivation, outlines a framework for naturalistic ontological reductions, and exposes the consequences of unchecked adherence to a simplicity-driven methodology. (shrink)

Super-Humeans argue that the most parsimonious ontology of the natural world compatible with our best physical theories consists exclusively of particles and the distance relations between them. This paper argues by contrast that Super-Humean reduction goes insufficiently far, by showing there to be a more parsimonious ontology compatible with physics: Ultimate-Humeanism. This novel view posits an ontology consisting solely of the particles and distance relations required for the existence of a single brain. Super-Humeans impose conditions on what counts as an (...) ontology of the natural world to avoid their view slipping into this kind of ontology, but these conditions are arbitrarily imposed and once this is exposed, Super-Humeans face a dilemma. Either they can embrace Ultimate-Humeanism as the minimal ontology of the natural world compatible with physics, or (more likely) they can rethink the methodology that got them there. Overall, this paper argues that Super-Humeanism currently lacks principled motivation, outlines a framework for naturalistic ontological reductions, and exposes the consequences of unchecked adherence to a simplicity-driven methodology. (shrink)

According to the governing conception of the laws of nature, laws, in some sense, determine concrete goings-on. Just how to understand the sort of determination at play in governance is, however, a substantial question. One potential answer to this question, which has recently received some attention, is that laws govern by grounding what happens in the concrete world. If this account succeeded, it would show that governance can be understood in terms of an independently motivated and widely accepted notion. Thus (...) far, though, the grounding conception of governance has not been developed or evaluated in detail. In this paper, I fill this gap by mapping out and evaluating various possible ways of developing this conception of governance. My main conclusion is that the grounding conception runs into serious difficulties in trying to capture the key idea that governing laws determine the distribution of fundamental property instances. (shrink)

This paper responds to Friend’s (2023) critique of the Powers-BSA, a view according to which laws of nature are efficient descriptions of how modally laden properties (powers) are possibly distributed in spacetime. In the course of this response, the paper discusses the nature of scientific and metaphysical explanation, the aim of science and the structure of modal space.

Despite its apparent complexity, our world seems to be governed by simple laws of physics. This volume provides a philosophical introduction to such laws. I explain how they are connected to some of the central issues in philosophy, such as ontology, possibility, explanation, induction, counterfactuals, time, determinism, and fundamentality. I suggest that laws are fundamental facts that govern the world by constraining its physical possibilities. I examine three hallmarks of laws-simplicity, exactness, and objectivity-and discuss whether and how they may be (...) associated with laws of physics. (shrink)

In this discussion note I reply to some criticisms that Marc Lange (2022) has directed at my Humean view of scientific laws (Bhogal, 2020) -- about whether Humean views can make sense of the apparent fact that laws are counterfactually invariant. The key idea of my response is that the Humean should think of their reduction of the laws to the Humean mosaic as closely related to other views where we reduce one domain to another but still allow that the (...) higher-level domain can be `autonomous' of the lower-level in some respects -- like, for example, the view that the special sciences reduce to physics but can still can work autonomously of physics. (shrink)

In recent work, Adlam (2022b), Chen & Goldstein (2022), and Meacham (2023) have defended accounts of laws that take laws to be primitive global constraints. A major advantage of these accounts is that they’re able to accommodate the many different kinds of laws that appear in physical theories. In this paper I’ll present these three accounts, highlight their distinguishing features, and note some key differences that might lead one to favor one of these accounts over the others. I’ll conclude by (...) briefly discussing a version of a “constraint” account that I think is especially attractive. (shrink)

In The Context of Laws of Nature Structural Humeanism vs. Classical Humeanism -/- In the context of the laws of nature, philosophers of science have developed some views in order to adopt an attitude towards recurring events in nature. In this respect, it has been discussed whether there is any driving force underlying the regular behaviours and movements we encounter in nature, and two approaches have emerged as a result of the discussion: A view that there are certain driving forces (...) or causal relations in the ground, and an opposing view that claims that there are no causal relations in the ground, but there are regularities in nature. Views such as the latter are generally described as the Humean view. Such views are also called regularity theories. Throughout this article, the statements referred to as regularity are characterised as the Humean view. Since the article will be centred on the Humean view, views such as the first view, such as dispositional essentialism or structural realism, are not the concern of this article. The article favours the Structural Humean approach over the classical Humean approach. The classical Humean approach is centred on the views of David Lewis and is concerned with distinguishing between laws of nature seen as accidental generalisations and regularities. While it tries to make such a distinction by constructing nature through a mosaic, the Structural Humean approach is an approach that develops Lewis’s claims and tries to shape nature with the concept of structure rather than mosaic. Thus, it is seen as an approach that provides more information than the Classical Humean approach in terms of creating a philosophical infrastructure for explaining nature in terms of modern physics. Through Psillos, Structural Humeanism tried to place the concept of natural pattern into the structure in order to gain metaphysical solidity and tried to bring the Structural Humean approach closer to the Structural Realism camp. Thus, the classically epistemologically important Humean approach has made a significant progress in positioning it on the realist wing. As a result of all these studies, the Structural Humean approach has been defended as a philosophical approach that offers useful arguments for modern physics compared to the Classical Humean approach. -/- Keywords: Humeanism, Regularity, Laws of Nature, Best System Account, Structural Humeanism, Natural Patterns. (shrink)

One of the most intuitive views about the metaphysics of laws of nature is Tim Maudlin's idea of a Fundamental Law of Temporal Evolution. So-called FLOTEs are primitive elements of the universe that produce later states from earlier states. While FLOTEs are at home in traditional Newtonian and non-relativistic quantum mechanical theories (not to mention our pre-theoretic conception of the world), I consider here whether they can be made to work with relativity. In particular, shifting to relativistic spacetimes poses two (...) threats to FLOTEs. First, the lack of a privileged spacelike hypersurface in relativistic spacetime makes it unclear how to understand what produces what. A survey of several conceptions of the nomic production relation compatible with relativity reveals all of them to be lacking. Second, relativity motivates a four-dimensional block universe conception of time, according to which all events that will ever occur already exist. On such a view, it's unclear what work there is to be done by FLOTEs. I consider how a proponent of FLOTEs might respond, but conclude that these combined threats seriously undermine the prospects of a productive conception of laws. In short, if spacetime is relativistic, laws are not productive. (shrink)

Que sont les « lois de la nature » que les sciences empiriques, et en premier lieu la physique, tentent de saisir? Et si les scientifiques ne peuvent les découvrir, ou du moins les confirmer, que sur la base de l’expérience, quels sont la nature et le fondement de leurs opérations inductives? Comment garantir la possibilité d’une authentique connaissance de ces lois qui structurent la réalité? Ce livre propose une enquête épistémologique et métaphysique au cours de laquelle deux fils directeurs (...) s’entremêlent. Il s’agit d’une part de s’interroger sur la nature ontologique des lois, à partir des débats contemporains en philosophie analytique des sciences. Les lois de la nature sont-elles, comme le pensent les empiristes humiens, de simples régularités factuelles universelles? Ou bien devraient-elles être conçues comme des faits nomiques d’un autre ordre, capables de rendre nécessaires les régularités que nous observons? Il s’agit d’autre part de remettre sur le métier le problème classique de l’induction que nous héritons de Hume. L’induction n’est-elle que l’opération de généralisation qualitative à partir de l’expérience? Exige-t-elle, comme on le suppose souvent, de montrer que la nature est uniforme et que les lois sont stables dans le temps? Pour résoudre ces problèmes, nous développons une théorie inédite des lois, centrée sur l’analyse de leur nature quantitative, et proposons un fondement nouveau à l’induction scientifique, qui repose sur l’existence, dans la réalité physique, de structures quantitatives. Nous montrons ainsi que c’est la possibilité d’appliquer les mathématiques, dans la formulation des lois physiques, qui garantit la connaissance inductive. (shrink)

Let us assume that human behavior is subject to laws of nature. These are either deterministic or indeterministic. Prima facie in both cases our behavior appears to be excused. For it seems as if, in the case of deterministic laws, we cannot behave differently than we actually do. In the case of indeterministic laws, it seems as if we are not the originators of this behavior, because how we behave depends on chance. There is a tension between the scientific characterization (...) of the world on the one hand and the characterization of people who are responsible for their behaviour on the other. The book examines how the answer to the question of whether people are responsible for their behavior depends on what is meant by determinism, causality, laws of nature and (perhaps somewhat surprisingly) reduction. (shrink)

In debates concerning the consequence argument, it has long been claimed that [McKay, T. J., and D. Johnson. 1996. “A Reconsideration of an Argument Against Compatibilism.” Philosophical Topics 24 (2): 113–122] demonstrated the invalidity of rule (β). Here, I argue that their result is not as robust as we might like to think. First, I argue that McKay and Johnson's counterexample is successful if one adopts a certain interpretation of ‘no choice about’ and if one is willing to deny the (...) conditional excluded middle principle. In order to make this point I demonstrate that (β) is valid on Stalnaker's theory of counterfactuals. This result is important and should not be neglected, I argue, because there is a particular line of objection to the revised formulations of the consequence argument that does not succeed against the original version. (shrink)

The article discusses the position of the Australian philosopher David Armstrong on the problem of the ontological status of the laws of nature. Through a clarification of Armstrong’s understanding of naturalism, physicalism, and factualism, the general essence of his metaphysical project is summarized. Then article presents his theory of the laws of nature, which is a kind of nomological realism: his version of the nomolog­ical argument is examined; his general grounds for rejecting the regularity theories, which is classical for the (...) naturalistic approach, are clarified; and the role of abduction in Arm­strong’s theory is demonstrated. The relation of nomic necessity, which is the key concept of his theory, is discussed in detail: its status as a second-order universal is explained; the terms of this relation, namely the types of states of affairs that constitute some special kind of universals, are distinguished; the essence of the nomic connection assumed by this relation is clarified through Armstrong’s theory of causality. Armstrong’s critique of regularity theories of laws of nature and the advantages of his nomological realism over them are discussed: cases where regularity is not law are considered; cases where there are laws that are not related to regularities, and cases where law and regularity seem to coincide, but there is reason to believe that they are different, these are the cases that appear to be most important. Finally, drawing on his own argumentation, the advan­tages of Armstrong’s theory over the best systems approach are justified: the problem of subjectivism and the threat of anti-realism inherent in coherentist approaches are ex­amined; the highly counterintuitive dependence of the existence of some laws on the ex­istence of others is pointed out; and the danger of actual contradictions within our ontol­ogy is demonstrated. (shrink)

In the metaphysics of laws of nature, one fundamental philosophical question is whether we should give a metaphysical or rather an epistemic account of what they are; that is the core issue that divides ‘Humeans’ from ‘anti-Humeans’. In much the same way, a key question we face with essences is whether to give a metaphysical or rather an epistemic account of what they are. (So note well: in choosing to deploy the term ‘essence’ this chapter is not taking sides on (...) the ‘Go metaphysical, or go epistemic?’ question. Just as we can be anti-metaphysical and still freely use the expression ‘law of nature’, so too we can be anti-metaphysical and freely use ‘essence’.) And the advantage of connecting these two topics is that we have made enough progress on the former for the lessons learned to provide valuable guidance for investigating the latter. Despite the author’s agnosticism about which approach is correct, the chapter mostly investigates the prospects for the ‘go epistemic’ option—what it calls ‘Humean reductionism about essence’. (shrink)

The meaning of the wave function is an important unresolved issue in Bohmian mechanics. On the one hand, according to the nomological view, the wave function of the universe or the universal wave function is nomological, like a law of nature. On the other hand, the PBR theorem proves that the wave function in quantum mechanics or the effective wave function in Bohmian mechanics is ontic, representing the ontic state of a physical system in the universe. It is usually thought (...) that the nomological view of the universal wave function is compatible with the ontic view of the effective wave function, and thus the PBR theorem has no implications for the nomological view. In this paper, I argue that this is not the case, and these two views are in fact incompatible. This means that if the effective wave function is ontic as the PBR theorem proves, then the universal wave function cannot be nomological, and the ontology of Bohmian mechanics cannot consist only in particles. This incompatibility result holds true not only for Humeanism and dispositionalism but also for primitivism about laws of nature, which attributes a fundamental ontic role to the universal wave function. Moreover, I argue that although the nomological view can be held by rejecting one key assumption of the PBR theorem, the rejection will lead to serious problems, such as that the results of measurements and their probabilities cannot be explained in ontology in Bohmian mechanics. Finally, I briefly discuss three $$\psi$$ -ontologies, namely a physical field in a fundamental high-dimensional space, a multi-field in three-dimensional space, and RDMP (Random Discontinuous Motion of Particles) in three-dimensional space, and argue that the RDMP ontology can answer the objections to the $$\psi$$ -ontology raised by the proponents of the nomological view. (shrink)

Many philosophers sympathetic with a Humean understanding of laws of nature have thought that, in the final analysis, the fundamental laws will include not only the traditional dynamical equations, but also two additional principles: the Past Hypothesis and the Statistical Postulate. The former says that the universe began in a particular very-low-entropy macrostate M(0), and the latter posits a uniform probability distribution over the microstates compatible with M(0). Such a view is arguably vindicated by the orthodox Humean Best System Account (...) (BSA). However, I argue here that recent developments of the BSA render the Past Hypothesis otiose. In particular, the trend among Humeans toward a more pragmatic view of laws — according to which the best system is the one that is maximally effective at helping creatures like us amplify our information about the world — does not support the idea that the Past Hypothesis is a law of nature. (shrink)

Two approaches to elevating certain laws of nature over others have come to prominence recently. On the one hand, according to the meta-laws approach, there are meta-laws, laws which relate to laws as those laws relate to particular facts. On the other hand, according to the modal, or non-absolutist, approach, some laws are necessary in a stricter sense than others. Both approaches play an important role in current research, questioning the ‘orthodoxy’ represented by the leading philosophical theories of natural laws—Humeanism, (...) the DTA view, dispositional essentialism and primitivism. This paper clarifies the relations between these two emerging approaches, as well as their applicability to physical laws and the status of the challenges they pose for standard theories of laws of nature. We first argue that, despite some significant similarities between the two approaches (especially in the context of Lange’s counterfactual account of laws), they are in general distinct and largely independent of each other. Then, we argue that the support for meta-laws from physical theory and practice is more questionable than usually presented. (shrink)

Humean accounts of laws are often contrasted with governing accounts, and recent developments have added pragmatic versions of Humeanism. This paper offers Mitchell's pragmatist, perspectival account of laws as a third option. The differences between these accounts come down to the role of modality. Mitchell's bottom-up account allows for subtle gradations of modal content to be conveyed by laws. The perspectival character of laws is not an accident or something to be eventually eliminated - it is part of how this (...) modal content is conveyed. I conclude with a discussion of the metaphysical commitments in Humeanism as requiring a perspectiveless view of the manifold from outside, and how Mitchell's situated account is better able to account for the substantive notion of possibility involved in scientific laws. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Matter and Mathematics: An Essentialist Account of the Laws of Nature by Andrew YOUNANDominic V. CassellaYOUNAN, Andrew. Matter and Mathematics: An Essentialist Account of the Laws of Nature. Washington, D.C.: The Catholic University of America Press, 2023. xii + 228 pp. Cloth, $75.00Andrew Younan’s work situates itself between two opposing philosophical accounts of the laws of nature. In one corner, there are the Humeans (or Nominalists); in the (...) other, the Anti-Humeans (or Platonists). The goal of the book is to find an explanation for the orderliness of the natural world that avoids falling into the difficulties of the two opposing philosophies. For example, the Humeans treat “events” as fundamental, and the laws of nature follow from these “events.” For the Humeans, reality is essentially random, with any order being something of our own contrivance. Whereas for the Anti-Humeans, the laws of nature are fundamental and are treated as causing events, turning the effect of necessity into the cause of material [End Page 166] characteristics. Looking to Aristotle and Thomas Aquinas, Younan proposes the recovery of a third option, the Essentialist position. This Essentialist position understands substances, that is, individual beings, as fundamental and all else (for example, events and laws of nature) follow from these individual beings. The thesis of the book, generally understood, is that Essentialism evades the critiques that the Humeans and Anti-Humeans put against one another while retaining what is right in each approach.The book is divided into two parts. The book’s first part deals with general objections and replies and is divided into three chapters. Chapters 1 and 2 address the two opposing accounts of nature mentioned, while chapter 3 argues for the benefits of recovering an Essentialist position. Chapter 1 examines the objection that Aristotelian natural philosophy is incompatible with modern science, an objection raised by Descartes. Chapter 2 addresses the objections of the Humeans, namely, that natural philosophy and, with it, causality and induction have been debunked. Chapter 3 looks at the fathers of quantum theory, specifically Heisenberg, and argues that a return to Aristotle’s understanding of nature would benefit the modern scientific project. The book’s second part is an argument for the Essentialist position and is divided into three chapters. Chapters 4 and 5 are the foundation for chapter 6. Chapter 4 is an abstractive account of mathematics, differing from Descartes and his conceptions, which draws on the texts of Aristotle and Aquinas’s Division and Methods. Chapter 5 situates necessity and its role in Aristotelian natural philosophy. Chapter 6 is the author’s attempt at defining what it is to be a law of nature.Younan argues that adopting an essentialist understanding of nature in a system where all knowledge begins in the senses has three significant “payoffs.” The first is that it avoids governance language, that is, it avoids making laws themselves causes of necessity; the second is that it avoids the assertion of a priori knowledge; the third is that it understands individual things as the fundamental primitives in nature, restoring the substance to its proper place as the thing that “stands under” accidental being.The book is concluded with an appendix that explores and rearticulates Thomas Aquinas’s fifth way under the consideration of everything the author had argued for in the book’s main text. Taking as established by the rest of the book that necessity and teleology go hand in hand, Younan argues for a creator God who establishes a universe freely but within certain parameters that follow upon being itself. Younan concludes, with Thomas Aquinas, that laws of nature are “ordinances of reason” that must come from a rational mind. To be as consistent as they are, the laws of nature must be promulgated by God, and they are discoverable within the nature of matter itself.Younan’s book often engages its interlocutors on the big-picture scale, frequently giving generalizations and not going into details to avoid getting bogged down in the weeds. The author is very aware of what he is doing. [End Page 167] It is appropriate since engaging the multiheaded hydra of the schools of thought that Younan... (shrink)

Certain results, most famously in classical statistical mechanics and complex systems, but also in quantum mechanics and high-energy physics, yield a coarse-grained stable statistical pattern in the long run. The explanation of these results shares a common structure: the results hold for a ‘typical’ dynamics, that is, for most of the underlying dynamics. In this paper I argue that the structure of the explanation of these results might shed some light—a different light—on philosophical debates on the laws of nature. In (...) the explanation of such patterns, the specific form of the underlying dynamics is almost irrelevant. The constraints required, given a free state-space evolution, suffice to account for the coarse-grained lawful behaviour. An analysis of such constraints might thus provide a different account of how regular behaviour can occur. This paper focuses on drawing attention to this type of explanation, outlining it in the diverse areas of physics in which it appears, and discussing its limitations and significance in the tractable setting of classical statistical mechanics. (shrink)

This chapter explores a potential analogy between mereological principles and laws of nature. Against a backdrop of what Marmodoro has termed ‘power structuralism’ (and a rejection of a Humean worldview), the connection between parthood and modality may be richer than has hitherto been considered. Mereological principles delineate possibilities for parts and wholes, and putting powers at the centre of a discussion about parthood can furnish a novel conception of mereological laws, much as dispositionalism has done so for natural laws; namely, (...) these principles express connections between fundamental dispositional properties. By extending dispositionalism to comprehend mereology in this way, we can help fulfil its promise to provide a foundational, naturalistic metaphysics, as foundational mereological debates then begin to mirror those relating to dispositionalist views of laws of nature: we may treat natural and mereological laws in tandem, as holding either necessarily or contingently, with associated strategies for dealing with supposed counterexamples to one’s preferred set of mereological principles. We can thus bring new life to the debate over whether questions of composition admit of contingent or only necessary answers. (shrink)

Humean accounts of law are at the same time accounts of causation. Accordingly, since laws of nature are nothing but contingent cosmic regularities, to be a cause is just to be an instance of such a law. It follows from this view that it is logically impossible that there be causally related events which are not law-governed. Any particular cause-effect pair instantiates some law of nature, where the law is understood as a regularity. The regularity itself may be understood phenomenalistically, (...) that is, as holding between sense impressions, or realistically, that is, as holding between objective events or event-types. These days even empiricists are realists to some extent, so I will eschew the radically empiricist version and assume that when a Humean talks about regularities, he is referring to objective events, states or processes in nature, not to his subjective experiences. (shrink)

The bulk of the literature concerning the governing role of non-Humean laws has been concentrated on the alleged incapability of higher order nomic facts to determine the regularities in the behaviour of actual objects, the so-called Inference Problem. Most recently Ioannidis, Livanios and Psillos (2021) argue that an adequate solution to the Inference Problem requires an answer to the question of how nomic relations manage to ‘tell’ properties what to do. Ioannidis et al. dub the difficulty that all extant accounts (...) of governing laws face to give such an answer, the Governing Problem and introduce a Dualist Model, according to which the specific behaviour of things in the world is the outcome of both the thin powers things have to be subjected to laws, and certain nomic features of the world. The aim of this paper is to show that the most plausible form of the Dualist Model can provide the basis for a novel version of the Powerful Qualities View about properties. To this end it presents ways of developing two aspects of the Dualist Model. It defends the view that nomic relations must be relata-specific in order to play their theoretical role within the Model and provides arguments for the view that natural properties should have the minimum (compatible with the core tenets of the Model) modal strength. (shrink)

This book develops and applies a novel kind of explanation: Empty-Base Explanation. While ordinary explanations have a tripartite structure involving an explanandum, a base of reasons why the explanandum obtains, and a link that connects the reasons to the explanandum, this book argues that there are explanations whose corresponding set of reasons is empty. This novel idea is located in the theoretical background of several fundamental philosophical issues. For example, it provides a convincing kind of ultimate or final explanation that (...) completely and conclusively explains a phenomenon without involving other phenomena for which further explanations could be demanded. -/- The possibility and fruitfulness of empty-base explanation is defended by general considerations from the theory of explanation, as well as concrete applications to (1) the practice of explanation by status, (2) the explanation of logical theorems, causal connections, and laws of nature, (3) self-explanation, (4) the use of IBE in metaphysics, (5) the notion of zero-ground (which it provides with a solid theoretical footing), and (6) ultimate explanation and its application to philosophical cosmology, the debate about the PSR, and the question of why there is anything at all. (shrink)

It is an underappreciated fact within the philosophical literature on laws of nature that many scientific laws require the aid of a supporting cast of additional modelling ingredients (such as boundary conditions, material parameters, interfacial stipulations, rigidity constraints, and so on) in order to perform their traditional role in scientific inquiry. In this paper, I suggest that this underappreciated fact spells trouble for some recent reformulations of David Lewis's Best Systems Account (BSA) of laws of nature. Under the auspices of (...) 'pragmatic Humeanism,' several philosophers have recently argued that the criteria of strength and simplicity that lay at the heart of Lewis's original formulation should be replaced with alternatives that are more sensitive to the role that laws play in scientific practice. Although the criteria that these philosophers put forward differ in a variety of ways, they are primarily concerned with the ability of laws to furnish us with predictions and encode information. This, I suggest, is a problem. If it is true that many scientific laws do not on their own perform some of the roles with which they are traditionally associated, then they are unlikely in isolation to make meaningful contributions to the predictive strength of a system or encode information about particular systems. Such laws are thus unlikely to end up in the best system, and so these accounts will have trouble conferring lawhood upon them. (shrink)

My topic is the skeptical challenges that are posed by Hume and Berkeley. Can one show, contrary to what Hume claimed, that one is justified in projecting regularities that have held in the past into the future? Can one show that induction is justified? Or can one show, contrary to what Berkeley claimed, not only that the hypothesis that there is an external, physical world expresses a coherent proposition, but also one that is extremely likely to be true? -/- The (...) basic theses concerning skepticism that I believe can be proved are as follows: (1) Skepticism about induction can be refuted. (2) Skepticism about the existence of an external, physical world can be refuted. -/- Will I actually prove that these things are so? Well, as you might have guessed, not quite! Still, my goals are not completely devoid of ambition. First of all, I shall be alluding to mathematical proofs that make it very plausible that whether induction can be justified depends upon a certain metaphysical issue. You may now be thinking, “Wow, that sounds like bad news! A philosophical result in epistemology that depends upon metaphysics. I was hoping that this would be an upbeat talk.” But the answer is that the dependence upon an issue in metaphysics is not as troubling as one might initially suppose. The reason is that the metaphysical issue in question is whether something is logically possible, and so whether it is so or not is a necessary truth. In any case, I shall begin by explaining what the metaphysical issue in question is. (shrink)

From the very beginnings of science there was the realization that amidst the apparent diversity of patterns to be observed in nature there are some which regularly repeat themselves. There are natural regularities. It was also realized that behind much that appeared irregular and chaotic there are deeper regularities. At one time it was thought that these regularities existed because there were Laws of Nature, in the sense in which behind certain regularities in human conduct there are the Laws of (...) the Land. Even as late as the eighteenth century the two senses of law were knowingly conflated by philosophers. In 1710 Berkeley proposed to account for the fact that there are all sorts of regularities in the world as we observe it by reference to God's role in engen‐dering our ideas. From his theology he took the notion of the rules that God prescribes for himself in thinking the world and thinking us and our experiences. It is these rules that account for, and are reflected in, whatever regularities we perceive in nature (see berkeley). (shrink)

This chapter investigates the prospects for an important position that falls under the "mere patterns" approach: what, for reasons that will emerge, the author calls"Humean reductionism" about laws of nature, a view championed perhaps most prominently by David Lewis. He reviews some of the most interesting arguments against this position from the literature, and adds some of his own that, he thinks, are more effective. The chapter considers how the best system account (BSA) would apply to the Newtonian particle world. (...) The BSA has been challenged in a wide variety of ways: it violates certain intuitions; It makes a hash out of the connection between laws on the one hand, and counterfactuals, explanation, and induction on the other. The author thinks that the problem he has raised‐challenging though he hopes it is, is really an occasion for the Humean reductionist to sharpen his position still further. (shrink)

Fred Dretske, David M. Armstrong, and Michael Tooley have all proposed that the truths about the laws of nature are metaphysically fundamental, consisting in a primitive, unanalyzable relation of 'necessitation' holding between two or more properties or universals. According to Strong Nomism, the laws of nature determine which counterfactual conditionals are true, and they also determine which powers and tendencies particular things have. This chapter treats Nomism as committed to the Dretske‐Armstrong‐Tooley (DAT) theory. Nomism provides a metaphysical explanation of the (...) difference between lawful and accidental generalization. The chapter focuses on the Neo‐Humeist or Ramsey/Lewis Theory of the laws of nature. The Neo‐Humeist program proceeds in the following way. First, give a reductionist account of the laws of nature, and then use the laws to ground the truths of attributions of power and of counterfactual conditionals. (shrink)

This introduction provides an overview of the key concepts discussed in the following chapters of this book. The book begins with a short history of metaphysics, and discusses some reasons why metaphysics matters. The practice of metaphysics is controversial within philosophy itself. This controversy stems from two primary sources: skepticism and pragmatism. The book introduces the two notions of truthmaking and of grounding, ideas that lie at the heart of a significant number of metaphysical projects. It develops an account of (...) dispositions: conditionals, laws of nature, and intrinsic powers. Th book examines the alternative view of Nominalism, according to which everything real is particular and unshareable, including the form of Nominalism that posits individualized properties or tropes. It also considers whether space is a thing in its own right or whether it consists merely in the holding of spatial relations between bodies. (shrink)

The two eminent metaphysicians Armstrong and Grossmann exchanged letters for ten years in which they discussed crucial points of their respective ontologies. They have a common basis. Both do metaphysics proper and not linguistic philosophy. Both advocate universals and acknowledge the key position of the category of states of affairs. However, they differ on the simplicity of universals and the nature of states of affairs. There is also a fundamental methodological disagreement between them. Armstrong accepts only the evidence of natural (...) science and has a materialist view on mind while Grossmann is a dualist and grants also the same evidential status to the phenomenological data of perception and introspection. The letters are grouped into three phases. The first is the issue of universals, the second the ontological analysis of laws of nature and the third the ontology of numbers. The book contains also longer comments and reviews, partly not published until now. (shrink)

In recent years, an active research program has emerged that aims to develop a Humean best-system account (BSA) of laws of nature that improves on Lewis’s canonical articulation of the view. Its guiding idea is that the laws are cognitive tools tailored to the specific needs and limitations of creatures like us. While current versions of this “pragmatic Humean” research program fare much better than Lewis’s account along many dimensions, I will argue that they have trouble making sense of certain (...) key features of the practice of fundamental physics. Indeed, these features seem to go against the very idea that laws are useful for agents like us. In my view, Humeans can address these issues by paying more attention to the explanatory role of laws. Following this idea, I will propose an account on which what makes a systematization the best is a kind of explanatory power, understood along the lines of the unificationist theory of explanation. The resulting view, I will argue, can make sense of those features of laws that other pragmatic accounts of laws have trouble explaining. (shrink)

The measurement problem concerns an apparent conflict between the two fundamental principles of quantum mechanics, namely the Schrödinger equation and the measurement postulate. These principles describe inconsistent behavior for quantum systems in so-called "measurement contexts." Many theorists have thought that the measurement problem can only be resolved by proposing a mechanistic explanation of (genuine or apparent) wavefunction collapse that avoids explicit reference to "measurement." However, I argue here that the measurement problem dissolves if we accept Humeanism about laws of nature. (...) On a Humean metaphysics, there is no conflict between the two principles, nor is there any inherent problem with the concept of "measurement" figuring into the account of collapse. (shrink)

Our universe features a harmonious match between laws and states: applying its laws to its states generates other states. This is a striking fact. Matters might have been otherwise. The universe might have been stillborn in a state unengaged by its laws. The problem of nomological harmony is that of explaining the noted striking fact. After introducing and developing this problem, we canvass candidate solutions and identify some of their virtues and vices. Candidate solutions invoke the likes of a designer, (...) axiarchic meta-laws, multiverses, essential causal powers, and Humean laws. (shrink)

Some properties – like charge – are natural, some – like grue are unnatural. The distinction between natural and unnatural properties is normally taken as primitive. However, Barry Loewer’s Package Deal Account (PDA) aims to provide an reductive account of natural properties, integrated with a reductive account of laws of nature. In addition, the account seems to be able to apply to natural properties at the level of fundamental physics, and higher-level, special science, properties. -/- If the account is successful, (...) then, it looks to be incredibly powerful and attractive. The PDA, however, is somewhat underexplored in the literature. So the first aim of the paper is to understand the PDA better -- to map the connections between naturalness and laws on the traditional BSA and to consider how those connections have to adapted in order to develop different versions of the PDA. -/- The second aim is to start to evaluate different versions of the PDA. In particular, perhaps the most promising version of the PDA construes it as an instance of a larger approach to Humeanism — one that has been very visible in the recent literature — that focuses on the role of 'ideal observers' or 'ideal scientists'. While such an approach might be feasible, I claim, it gets its proponents much less than they were originally hoping for. (shrink)

I provide a new account of what it is for the laws of nature to govern the evolution of events. I locate the source of governance in the content of law propositions. As such, I do not appeal to primitive notions of ground, essence, or production to characterize governance. After introducing the account, I use it to outline previously unrecognized varieties of governance. I also specify that laws must govern to have two theoretical virtues: explanatory power as well as a (...) theoretical virtue I call expansiveness. A theory is expansive, roughly, when it can do more with less. (shrink)

Humean accounts of chance have a problem with undermining futures: they have to accept that some series of events are physically possible and have a nonzero chance but are inconsistent with the chances being what they are. This contradicts basic platitudes about chances (such as those given by Bigelow et al. (1993) and Schaffer (2007)) and leads to inconsistency between plausible constraints on credences. We show how Humeans can avoid these contradictions by drawing on metaphysically impossible worlds that are, nevertheless, (...) scientifically possible. One major advantage of our approach is that one single move deals with these both problems, whereas previous Humean approaches to undermining (such as that given by Lewis (1994), Thau (1994), and Hall (1994)) have only addressed the connection between credence and chance. Furthermore, our approach connects more closely with the way we employ stochastic scientific theories. And it’s part of a unified solution to other challenges that the Humean faces. (shrink)

This Element provides an opinionated introduction to the metaphysics of laws of nature. The first section distinguishes between scientific and philosophical questions about laws and describes some criteria for a philosophical account of laws. Subsequent sections explore the leading philosophical theories in detail, reviewing the most influential arguments in the literature. The final few sections assess the state of the field and suggest avenues for future research.

We consider two ways one might use algorithmic randomness to characterize a probabilistic law. The first is a generative chance* law. Such laws involve a nonstandard notion of chance. The second is a probabilistic* constraining law. Such laws impose relative frequency and randomness constraints that every physically possible world must satisfy. While each notion has virtues, we argue that the latter has advantages over the former. It supports a unified governing account of non-Humean laws and provides independently motivated solutions to (...) issues in the Humean best-system account. On both notions, we have a much tighter connection between probabilistic laws and their corresponding sets of possible worlds. Certain histories permitted by traditional probabilistic laws are ruled out as physically impossible. As a result, such laws avoid one variety of empirical underdetermination, but the approach reveals other varieties of underdetermination that are typically overlooked. (shrink)

Causation and the laws of nature are nothing over and above the pattern of events, just like a movie is nothing over and above the sequence of frames. Or so I will argue. The position I will argue for is broadly inspired by Hume and Lewis, and may be expressed in the slogan: what must be, must be grounded in what is.

Many philosophers who defend a Humean account of laws of nature also endorse scientific realism, such as David Lewis and Barry Loewer. It seems as if scientific realism and Humean accounts are orthogonal to, and so are naturally compatible with, one another. I argue otherwise: Humean accounts of laws are at odds with scientific realism in a way that would require significant changes to the standard formulations of scientific realism or Humean accounts to reconcile the two. I focus on two (...) of the most prominent Humean accounts, Lewis' Best System Account and Loewer's Package Deal Account, as examples and argue: Humean accounts like Loewer's, which take the fundamental ontology and laws as a package deal, conflict with scientific realism, while Humean accounts that do not take a package deal, such as Lewis's, do not conform to scientific practice. (shrink)

In her paper, “The Non-Governing Conception of Laws,” Helen Beebee argues that it is not a conceptual truth that laws of nature govern, and thus that one need not insist on a metaphysical account of laws that makes sense of their governing role. I agree with the first point but not the second. Although it is not a conceptual truth, the fact that laws govern follows straightforwardly from an important (though under-appreciated) principle of scientific theory choice combined with a highly (...) plausible claim about the connection between scientific theory choice and theory choice in metaphysics. I present and defend this argument and then show how the resulting understanding of governance gives rise to an especially strong version of recent explanatory circularity arguments against Humeanism about laws of nature. Finally, I present three options for a further understanding of the governance relation that are compatible with my argument. (shrink)

This work deals with obstacles hindering a metaphysics of laws of nature in terms of dispositions, i.e., of fundamental properties that are causal powers. A recent analysis of the principle of least action has put into question the viability of dispositionalism in the case of classical mechanics, generally seen as the physical theory most easily amenable to a dispositional ontology. Here, a proper consideration of the framework role played by the least action principle within the classical image of the world (...) allows us to build a consistent metaphysics of dispositions as charges of interactions. In doing so we develop a general approach that opens the way towards an ontology of dispositions for fundamental physics also beyond classical mechanics. (shrink)