Humeanism and Nonhumeanism about Laws

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)

I respond to some challenges to Humean laws deriving from the claimed non-resilience of such laws under counterfactual assumptions.

Traditional compatibilism is the view that free will is compatible with determinism. Humean-law compatibilism (a.k.a. weak-law compatibilism), is the view that free will is compatible with determinism, where determinism is defined in terms of a broadly Humean view of the laws of nature. A growing number of philosophers hold that Humean-law compatibilists are targeted by and have special resources to resist arguments for traditional incompatibilism, including the Consequence Argument (cf. Beebee and Mele 2002, Perry 2004, Hetherington 2006, Berofsky 2012, Mele (...) 2013). In this paper, I argue that Humean-law compatibilism is not a proper target of the Consequence Argument and that Humean-law compatibilists have no unique resources to show that the Consequence Argument is unsound. Moreover, I attribute the rise of the paradoxical notion of Humean determinism, upon which Humean compatibilism is based, to Peter van Inwagen’s failed attempt to capture the traditional metaphysical doctrine of determinism (as he himself characterizes it) in the impoverished language of symbolic logic. -/- For the most recent version of this manuscript, plz gmail me: kristin.mickelson.42. (shrink)

Take strong open-future Humeanism (OFH) to comprise the following three tenets: (i) that truth supervenes on being (ii) that there is a dynamic present moment, and (iii) that there are no future facts; that is, contingent propositions about the future obtain truth values only when their referents are actualised (Tooley 1997). On the face of it this is a deeply problematic metaphysic - if there are no future facts then prima facie the Humean can neither provide laws of nature, nor (...) explain the evolution of physical systems, as the Humean takes truths (including nomological truths) to supervene on the omnitemporal mosaic of local particular matters of fact. Hypertemporal Humeanism (HH), the view I propose in this paper, admits of nomological facts whilst granting the ontological and conceptual commitments of OFH. HH provides a coherent account of laws of nature, and (unlike standard Humean conceptions) accommodates the natural intuition that future facts are yet to be determined. Furthermore, although the view arguably struggles to combat the problem of induction, the Hypertemporal Humean is in no worse a position in this respect than the traditional closed-future Humean metaphysics. (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)

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)

I begin by retracing an argument from Aristotle for final causes in science. Then, I advance this ancient thought, and defend an argument for a stronger conclusion: that no scientific explanation can succeed, if Naturalism is true. The argument goes like this: (1) Any scientific explanation can be successful only if it crucially involves a natural regularity. Next, I argue that (2) any explanation can be successful only if it crucially involves no element that calls out for explanation but lacks (...) one. From (1) and (2) it follows that (3) a scientific explanation can be successful only if it crucially involves a natural regularity, and this regularity does not call out for explanation while lacking one. I then argue that (4) if Naturalism is true, then all natural regularities call out for explanation but lack them. From (3) and (4) it follows that (5) if Naturalism is true, then no scientific explanation can be successful. If you believe that scientific explanation can be (indeed, often has been) successful, as I do, then this is a reason to reject Naturalism. (shrink)

While the inference problem is widely thought to be one of the most serious problems facing non-Humean accounts of laws, Jonathan Schaffer has argued that a primitivist response straightforwardly dissolves the problem. On this basis, he claims that the inference problem is really a pseudo-problem. Here I clarify the prospects of a primitivist response to the inference problem and their implications for the philosophical significance of the problem. I argue both that it is a substantial question whether this sort of (...) response ought to be accepted and that the inference problem, contra Schaffer, remains a significant problem with important implications for the non-Humean position. I also argue that this discussion indicates grounds to be wary about applying the Schaffer-style strategy of straightforwardly dissolving problems by stipulation to other philosophical problems. (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)

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)

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)

Symmetry principles are a central part of contemporary physics, yet there has been surprisingly little metaphysical work done on them. This article develops the Wignerian treatment of symmetries as higher-order laws—metalaws—within a Humean framework of lawhood. Lange has raised two obstacles to Humean metalaws, and the article shows that the account has the resources available to respond to both. It is argued that this framework for Humean metalaws stands as an example of naturalistic metaphysics, able to bring Humeanism into contact (...) with the practice of actual science without giving up on the central denial of necessary connections. (shrink)

Physical laws are strikingly simple, yet there is no a priori reason for them to be so. I propose that nomic realists—Humeans and non-Humeans—should recognize simplicity as a fundamental epistemic guide for discovering and evaluating candidate physical laws. This proposal helps resolve several longstanding problems of nomic realism and simplicity. A key consequence is that the presumed epistemic advantage of Humeanism over non-Humeanism dissolves, undermining a prominent epistemological argument for Humeanism. Moreover, simplicity is shown to be more connected to lawhood (...) than to mere truth. (shrink)

In recent work, Adlam (2022b), Chen and 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)

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)

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)

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)

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)

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)

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.

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.

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)

The violation of Bell inequalities seems to establish an important fact about the world: that it is non-local. However, this result relies on the assumption of the statistical independence of the measurement settings with respect to potential past events that might have determined them. Superdeterminism refers to the view that a local, and determinist, account of Bell inequalities violations is possible, by rejecting this assumption of statistical independence. We examine and clarify various problems with superdeterminism, looking in particular at its (...) consequences on the nature of scientific laws and scientific reasoning. We argue that the view requires a neo-Humean account of at least some laws, and creates a significant problem for the use of statistical independence in other parts of physics and science more generally. (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)

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)

How should we account for the extraordinary regularity in the world? Humeans and Non-Humeans sharply disagree. According to Non-Humeans, the world behaves in an extraordinarily regular way because of certain necessary connections in nature. However, Humeans have thought that Non-Humean views are metaphysically objectionable. In particular, there are two general metaphysical principles that Humeans have found attractive that are incompatible with all existing versions of Non-Humeanism. My goal in this paper is to develop a novel version of Non-Humeanism that is (...) consistent with (and even entails) both of these general metaphysical principles. By endorsing such a view, one can have the explanatory benefits of Non-Humeanism while at the same time avoiding two of the major metaphysical objections towards Non-Humeanism. (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)

If the Past Hypothesis underlies the arrows of time, what is the status of the Past Hypothesis? In this paper, I examine the role of the Past Hypothesis in the Boltzmannian account and defend the view that the Past Hypothesis is a candidate fundamental law of nature. Such a view is known to be compatible with Humeanism about laws, but as I argue it is also supported by a minimal non-Humean "governing'' view. Some worries arise from the non-dynamical and time-dependent (...) character of the Past Hypothesis as a boundary condition, the intrinsic vagueness in its specification, and the nature of the initial probability distribution. I show that these worries do not have much force, and in any case they become less relevant in a new quantum framework for analyzing time's arrows---the Wentaculus. Hence, the view that the Past Hypothesis is a candidate fundamental law should be more widely accepted than it is now. (shrink)

Recent neo-Humean theories of laws of nature have placed substantial emphasis on the characteristic epistemic roles played by laws in scientific practice. In particular, these theories seek to understand laws in terms of their optimal predictive utility to creatures in our epistemic situation. In contrast to other approaches, this view has the distinct advantage that it is able to account for a number of pervasive features possessed by putative actual laws of nature. However, it also faces some unique challenges. First, (...) since the view tries to characterize the laws in terms of their predictive utility, any respects in which putative actual laws are sub-optimally predictively useful are inherently problematic. Such "predictive infelicities" can easily be found among our best physical theories. Second, in tying the laws to our epistemic situation, neo-Humeanism raises the possibility that by changing our epistemic situation, we can change the laws themselves, though it is hard to believe that we have such influence over the laws. This paper aims to address both of these challenges, first by presenting a variety of strategies for explaining away predictive infelicities, and then by developing a version of Lewis's "rigidification" strategy to preclude the possibility of our changing the laws. (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 conditions required, given a free state-space evolution, suffice to account for the coarse-grained lawful behaviour. An analysis of such conditions 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)

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)

If one has Humean inclinations, what account should one provide for idealization laws? I introduce the currently most popular Humean approach to laws of nature, the best systems account, along with some basic requirements for how to be Humean. I then show why idealization laws are unlikely to be accommodated within this account of laws. Finally, I offer an alternative approach that takes idealization laws to be meta-laws, placing requirements on the theorems of the best system.

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)

The intuitive distinction between natural and unnatural properties (e.g., green vs. grue) informs our theorizing not only in fundamental physics, but also in non-fundamental domains. This paper develops a reductive account of this broad notion of naturalness that covers non-fundamental properties: for a property to be natural, I propose, is for it to figure in a law of nature. After motivating the account, I defend it from a potential circularity charge. I argue that a suitably broad notion of lawhood can (...) be defined independently of naturalness, if we help ourselves to the notion of a fundamental physical property. I end by showing how the notions of naturalness and lawhood that my account delivers help illuminate a number of other important philosophical notions, like causation, reference/meaning, and rational induction. (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)

A central question in the philosophy of science is: What is a law of nature? Different answers to this question define an important schism: Humeans, in the wake of David Hume, hold that the laws of nature are nothing over and above what actually happens and reject irreducible facts about natural modality (Lewis, 1983, 1994; cf. Miller, 2015). According to Non-Humeans, by contrast, the laws are metaphysically fundamental (Maudlin, 2007) or grounded in primitive modal structures, such as dispositional essences of (...) powerful properties (Bird, 2007), necessitation relations (Armstrong, 1983), or primitive subjunctive facts (Lange, 2009). This volume focuses on recent developments in the discussion of Humeanism, specifically on pragmatic versions of the view that put the needs of limited agents like us front and center. (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.

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)

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)

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)

Quantum gravity’s suggestion that spacetime may be emergent and so only exist contingently would force a radical reconception of extant analyses of laws of nature. Humeanism presupposes a spatiotemporal mosaic of particular matters of fact on which laws supervene; primitivism and dispositionalism conceive of the action of primitive laws or of dispositions as a process of ‘nomic production’ unfolding over time. We show how the Humean supervenience basis of non-modal facts and primitivist or dispositionalist accounts of nomic production can be (...) reconceived, avoiding a reliance on fundamental spacetime. However, it is unclear that naturalistic forms of Humeanism can maintain their commitment to there being no necessary connections among distinct entities. Furthermore, non-temporal conceptions of production render this central concept more elusive than before. In fact, the challenges run so deep that the survival of the investigated analyses into the era of quantum gravity is questionable. (shrink)

Humean accounts of natural law have long been charged with being unable to account for the laws’ explanatory power in science. One form of this objection is to charge Humean accounts with explanatory circularity: a fact in the Humean mosaic helps to explain why some regularity is a law (first premise), but that law, in turn, helps to explain why that mosaic fact holds (second premise). To this objection, Humeans have replied that the explanation in the first premise is metaphysical (...) whereas the explanation in the second premise is scientific, so (since these two varieties of explanation operate very differently) the two explanations cannot be chained together to yield explanatory circularity. This paper presents a new circularity argument that avoids this objection because both explanations in the premises are metaphysical. The new circularity argument also avoids the objection that the contrasts at the point where the two explanations are chained together fail to line up properly. The upshot is to leave the Humean account of law with two unattractive options: to regard scientific explanation under natural law as not constituting genuine explanation at all or to regard the Humean account as involving a vicious explanatory circularity. (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)

Humean Laws for Human Agents presents cutting-edge research by leading experts on the Humean account of laws, chance, possibility, and necessity. A central question in metaphysics and philosophy of science is: What are laws of nature? Humeans hold that laws are not sui generis metaphysical entities but merely particularly effective summaries of what actually happens. The most discussed recent work on Humeanism emphasizes the laws' usefulness for limited agents and uses pragmatic considerations to address fundamental and long-standing problems. The current (...) volume develops and critically examines pragmatic Humean accounts, with innovative new work on the epistemology of laws and chance, the problem of induction, counterfactuals, special science laws, and a Humean account of essence. Taken together, the papers provide a roadmap for developing pragmatic Humeanism and connate views, setting the agenda for future research. (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)

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)

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)

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)

The laws of nature have come a long way since the time of Newton: quantum mechanics and relativity have given us good reasons to take seriously the possibility of laws which may be non-local, atemporal, ‘all-at-once,’ retrocausal, or in some other way not well-suited to the standard dynamical time evolution paradigm. Laws of this kind can be accommodated within a Humean approach to lawhood, but many extant non-Humean approaches face significant challenges when we try to apply them to laws outside (...) the time evolution picture. Thus for proponents of non-Humean approaches to lawhood there is a clear need for a novel non-Humean account which is capable of accommodating these sorts of laws. In this paper we propose such an account, characterizing lawhood in terms of constraints, which are understood as a form of modal structure. We demonstrate that our proposed realist account can indeed accommodate a large variety of laws outside the time evolution paradigm, and describe some possible applications to important philosophical problems. (shrink)

The Great Divide in metaphysical debates about laws of nature is between Humeans, who think that laws merely describe the distribution of matter, and non-Humeans, who think that laws govern it. The metaphysics can place demands on the proper formulations of physical theories. It is sometimes assumed that the governing view requires a fundamental / intrinsic direction of time: to govern, laws must be dynamical, producing later states of the world from earlier ones, in accord with the fundamental direction of (...) time in the universe. In this paper, we propose a minimal primitivism about laws of nature (MinP) according to which there is no such requirement. On our view, laws govern by constraining the physical possibilities. Our view captures the essence of the governing view without taking on extraneous commitments about the direction of time or dynamic production. Moreover, as a version of primitivism, our view requires no reduction / analysis of laws in terms of universals, powers, or dispositions. Our view accommodates several potential candidates for fundamental laws, including the principle of least action, the Past Hypothesis, the Einstein equation of general relativity, and even controversial examples found in the Wheeler-Feynman theory of electrodynamics and retrocausal theories of quantum mechanics. By understanding governing as constraining, non-Humeans who accept MinP have the same freedom to contemplate a wide variety of candidate fundamental laws as Humeans do. (shrink)