An adequate account of laws should satisfy at least five desiderata: it should provide a unified account of laws and chances, it should yield plausible relations between laws and chances, it should vindicate numerical chance assignments, it should accommodate dynamical and non-dynamical chances, and it should accommodate a plausible range of nomic possibilities. No extant account of laws satisfies these desiderata. This paper presents a non-Humean account of laws, the Nomic (...) Likelihood Account, that does. (shrink)

If the laws of nature are as the Humean believes, it is an unexplained cosmic coincidence that the actual Humean mosaic is as extremely regular as it is. This is a strong and well-known objection to the Humean account of laws. Yet, as reasonable as this objection may seem, it is nowadays sometimes dismissed. The reason: its unjustified implicit assignment of equiprobability to each possible Humean mosaic; that is, its assumption of the principle (...) of indifference, which has been attacked on many grounds ever since it was first proposed. In place of equiprobability, recent formal models represent the doxastic state of total ignorance as suspension of judgment. In this paper I revisit the cosmic coincidence objection to Humean laws by assessing which doxastic state we should endorse. By focusing on specific features of our scenario I conclude that suspending judgment results in an unnecessarily weak doxastic state. First, I point out that recent literature in epistemology has provided independent justifications of the principle of indifference. Second, given that the argument is framed within a Humean metaphysics, it turns out that we are warranted to appeal to these justifications and assign a uniform and additive credence distribution among Humean mosaics. This leads us to conclude that, contrary to widespread opinion, we should not dismiss the cosmic coincidence objection to the Humean account of laws. (shrink)

In this paper, I raise a novel objection to David Lewis’s Humean account of laws. The objection is that non-universal laws are metaphysically possible, but Lewis’s account cannot accommodate them. I then propose and defend an extension of Lewis’s view that gives us an account of Humean non-universal laws.

Non‐Humean theories of natural necessity invoke modally‐laden primitives to explain why nature exhibits lawlike regularities. However, they vary in the primitives they posit and in their subsequent accounts of laws of nature and related phenomena (including natural properties, natural kinds, causation, counterfactuals, and the like). This article provides a taxonomy of non‐Humean theories, discusses influential arguments for and against them, and describes some ways in which differences in goals and methods can motivate different versions of non‐Humeanism (and, (...) for that matter, Humeanism). In short, this article provides an introduction to non‐Humeanism concerning the metaphysics of laws of nature and natural necessity. (shrink)

One of the main challenges confronting Humean accounts of natural law is that Humean laws appear to be unable to play the explanatory role of laws in scientific practice. The worry is roughly that if the laws are just regularities in the particular matters of fact (as the Humean would have it), then they cannot also explain the particular matters of fact, on pain of circularity. Loewer (2012) has defended Humeanism, arguing that this worry (...) only arises if we fail to distinguish between scientific and metaphysical explanations. However, Lange (2013, 2018) has argued that scientific and metaphysical explanations are linked by a transitivity principle, which would undercut Loewer's defense and re-ignite the circularity worry for the Humean. I argue here that the Humean has antecedent reasons to doubt that there are any systematic connections between scientific and metaphysical explanations. The reason is that the Humean should think that scientific and metaphysical explanation have disparate aims, and therefore that neither form of explanation is beholden to the other in its pronouncements about what explains what. Consequently, the Humean has every reason to doubt that Lange's transitivity principle obtains. (shrink)

Over the past 50 years, there has been a great deal of philosophical interest in laws of nature, perhaps because of the essential role that laws play in the formulation of, and proposed solutions to, a number of perennial philosophical problems. For example, many have thought that a satisfactory account of laws could be used to resolve thorny issues concerning explanation, causation, free-will, probability, and counterfactual truth. Moreover, interest in laws of nature is not constrained (...) to metaphysics or philosophy of science; claims about laws play essential roles in areas as diverse as the philosophy of religion (e.g., in the argument from design) and the philosophy of mind (e.g., in the formulation of Davidson’s anomalous monism). In my dissertation, I consider and reject the widely-held thesis that the facts concerning laws can be reduced to the facts concerning the particular entities that the laws “govern,” and that the laws thus have no independent existence. I instead defend a version of nomic primitivism, according to which the facts about laws cannot be reduced to facts that are themselves non-nomic – i.e., to facts that do not fundamentally involve laws, counterfactuals, causes, etc. Insofar as the truth or falsity of reductionism about laws has implications for many of the problems mentioned above, I think that this result should be of interest even to those who who do not work in metaphysics or the philosophy of science. My methodology, which I lay out and defend in Chapter One, is a version of Carnapian explication. This method emphasizes the importance of articulating and maintaining clear distinctions between (1) the vague concept (or concepts) law of nature inherent in ordinary language and scientific practice and (2) the precise analyses of “law of nature” that philosophers have proposed as potential replacements for this concept. I argue that metaphysics-as-explication has clear advantages over rival conceptions of metaphysical methodology; in particular, it allows us to formulate evaluative criteria for metaphysical claims. In Chapter Two, I offer an example of how careful attention to concepts already in use can help resolve philosophical debate. Specifically, I argue that much recent literature has mistakenly assumed that there is only one concept of “law of nature” in use, while there are in fact at least two. Strong laws are the principles pursued by fundamental physics: they are true, objective, and bear distinctive relationships to counterfactuals and explanation. Weak laws, by contrast, lack at least one of these distinctive characteristics but play central roles in both the “special sciences” and in everyday life. In Chapters Three and Four, I offer extended arguments against the two most prominent versions of reductionism about laws – Humeanism and law necessitarianism. According to philosophical Humeans, the laws of nature supervene upon the non-modal, non-nomic facts concerning the behavior of particular things at particular times and places. Law necessitarians, by contrast, argue that the laws are in fact metaphysically necessary, and that which laws there are is determined by a class of primitive, modally loaded facts concerning the essences, natures, or dispositions. I argue that both of these views are mistaken insofar as they disagree with well-entrenched scientific practices and those in favor of reductionism have failed to provided sufficient reason for thinking that these practices should be revised. Much of my argument is focused on the role played by a number of supposed methodological principles, including appeals to intuition, parsimony, and methodological naturalism. While the conclusions of this dissertation are explicitly constrained to laws, many of the arguments should be of interest to those who are concerned about philosophical methodology (especially in the role of intuition in philosophical argument) or the appropriate relation between metaphysics, science, and the philosophy of science. (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)

Humean reductionism about laws of nature is the view that the laws reduce to the total distribution of non-modal or categorical properties in spacetime. A worry about Humean reductionism is that it cannot motivate the characteristic modal resilience of laws under counterfactual suppositions and that it thus generates wrong verdicts about certain nested counterfactuals. In this paper, we defend Humean reductionism by motivating an account of the modal resilience of Humean laws (...) that gets nested counterfactuals right. (shrink)

Metaphysicians play an important role in our understanding of the universe. In recent years, physicists have focussed on finding accurate mathematical formalisms of the evolution of our physical system - if a metaphysician can uncover the metaphysical underpinnings of these formalisms; that is, why these formalisms seem to consistently map the universe, then our understanding of the world and the things in it is greatly enhanced. Science, then, plays a very important role in our project, as the best scientific formalisms (...) provide us with what we, as metaphysicians, should be trying to interpret. In this thesis I examine existing metaphysical views of what a law is (both from a conceptual and from a metaphysical perspective), to show how closely causation is linked to laws, and to provide a priori arguments for and against each of these positions. Ultimately, I aim to provide an analysis of a number of metaphysics of natural laws and causation, apply these accounts to our best scientific theories, and see how these metaphysics fit in with our concepts of cause and law. Although I do not attempt a definitive metaphysical account myself, I conclude that any successful metaphysic will be a broadly Humean one, and furthermore that given the concepts of cause and law that shall be agreed upon, Humean theories allow for there to be causal sequences and laws (in line with our concepts) in the world. (shrink)

Non-Humean accounts of the metaphysics of nature posit either laws or powers in order to account for natural necessity and world-order. We argue that such monistic views face fundamental problems. On the one hand, neo-Aristotelians cannot give unproblematic power-based accounts of the functional laws among quantities offered by physical theories, as well as of the place of conservation laws and symmetries in a lawless ontology; in order to capture these characteristics, commitment to governing laws (...) is indispensable. On the other hand, ontologies that entirely exclude some kind of power ascription to worldly entities face what we call the Governing Problem: such ontologies do not have the resources to give an adequate account of how laws play their governing role. We propose a novel dualist model, which, we argue, has the resources to solve the difficulties encountered by its two dominant competitors, without inheriting the problems of either view. According to the dualist model, both laws and powers are equally fundamental and irreducible to each other, and both are needed in order to give a satisfactory account of the nomological structure of the world. The dualist model constitutes thus a promising alternative to current monistic views in the metaphysics of science. (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)

Tim Maudlin has influentially argued that Humeanism about laws of nature stands in conflict with quantum mechanics. Specifically Humeanism implies the principle Separability: the complete physical state of a world is determined by the intrinsic physical state of each space-time point. Maudlin argues Separability is violated by the entangled states posited by QM. We argue that Maudlin only establishes that a stronger principle, which we call Strong Separability, is in tension with QM. Separability is not in tension with QM. (...) Moreover, while the Humean requires Separability to capture the core tenets of her view, there's no Humean-specific motivation for accepting Strong Separability. We go on to give a Humean account of entangled states which satisfies Separability. The core idea is that certain quantum states depend upon the Humean mosaic in much the same way as the laws do. In fact, we offer a variant of the Best System account on which the systemization procedure that generates the laws also serves to ground these states. We show how this account works by applying it to the example of Bohmian Mechanics. The 3N-dimensional configuration space, the world particle in it and the wave function on it are part of the best system of the Humean mosaic, which consists of N particles moving in 3-dimensional space. We argue that this account is superior to the Humean account of Bohmian Mechanics defended by Loewer and Albert, which takes the 3N-dimensional space, and its inhabitants, as fundamental. (shrink)

This doctoral dissertation investigates the notion of physical necessity. Specifically, it studies whether it is possible to account for non-accidental regularities without the standard assumption of a pre-existent set of governing laws. Thus, it takes side with the so called deflationist accounts of laws of nature, like the humean or the antirealist. The specific aim is to complement such accounts by providing a missing explanation of the appearance of physical necessity. In order to provide an explanation, (...) I recur to fields that have not been appealed to so far in discussions about the metaphysics of laws. Namely, I recur to complex systems’ theory, and to the foundations of statistical mechanics. The explanation proposed is inspired by how complex systems’ theory has elucidated the way patterns emerge, and by the probabilistic explanations of the 2nd law of thermodynamics. More specifically, this thesis studies how some constraints that make no direct reference to the dynamics can be a sufficient condition for obtaining in the long run, with high probability, stable regular behavior. I hope to show how certain metaphysical accounts of laws might benefit from the insights achieved in these other fields. According to the proposal studied in this thesis, some regularities are not accidental not in virtue of an underlying physical necessity. The non-accidental character of certain regular behavior is only due to its overwhelming stability. Thus, from this point of view the goal becomes to explain the stability of temporal patterns without assuming a set of pre-existent guiding laws. It is argued that the stability can be the result of a process of convergence to simpler and stable regularities from a more complex lower level. According to this project, if successful, there would be no need to postulate a (mysterious) intermediate category between logical necessity and pure contingency. Similarly, there would be no need to postulate a (mysterious) set of pre-existent governing laws. Part I of the thesis motivates part II, mostly by arguing why further explanation of the notions of physical necessity and governing laws should be welcomed (chapter 1), and by studying the plausibility of a lawless fundamental level (chapters 2 and 3). Given so, part II develops the explanation of formation of simpler and stable behavior from a more complex underlying level. (shrink)

I argue that the best scientific package is anti-Humean in its ontology, but Humean in its laws. This is because potencies and the best system account of laws complement each other surprisingly well. If there are potencies, then the BSA is the most plausible account of the laws of nature. Conversely, if the BSA is the correct theory of laws, then formulating the laws in terms of potencies rather than categorical properties (...) avoids three serious objections: the mismatch objection, the impoverished worlds objection, and the metaphysical 'oomph' objection. I argue that combining anti-Humean properties with Humean laws into a Potency-Best System Account of Laws is a powerful and science-friendly account---something that people on both sides should be able to appreciate. (shrink)

David Lewis is a natural target for those who believe that findings in quantum physics threaten the tenability of traditional metaphysical reductionism. Such philosophers point to allegedly holistic entities they take both to be the subjects of some claims of quantum mechanics and to be incompatible with Lewisian metaphysics. According to one popular argument, the non-separability argument from quantum entanglement, any realist interpretation of quantum theory is straightforwardly inconsistent with the reductive conviction that the complete physical state of the world (...) supervenes on the intrinsic properties of and spatio-temporal relations between its point-sized constituents. Here I defend Lewis's metaphysical doctrine, and traditional reductionism more generally, against this alleged threat from quantum holism. After presenting the non-separability argument from entanglement, I show that Bohmian mechanics, an interpretation of quantum mechanics explicitly recognized as a realist one by proponents of the non-separability argument, plausibly rejects a key premise of that argument. Another holistic worry for Humeanism persists, however, the trouble being the apparently holistic character of the Bohmian pilot wave. I present a Humean strategy for addressing the holistic threat from the pilot wave by drawing on resources from the Humean best system account of laws. (shrink)

The Humean best systems account identifies laws of nature with the regularities in a system of truths that, as a whole, best conforms to scientific standards for theory-choice. A principled problem for the BSA is that it returns the wrong verdicts about laws in cases where multiple systems, containing different regularities, satisfy these standards equally well. This problem affects every version of the BSA because it arises regardless of which standards for theory-choice Humeans adopt. In this (...) paper, we propose a Humean response to the problem. We invoke pragmatic aspects of Humean laws to show that the BSA, despite violating some of our intuitive judgements, can capture everything that is relevant for scientific practice. (shrink)

Discovering laws of nature was a way to worship a law-giving God, during the Scientific Revolution. So why should we consider it worthwhile now, in our own more secularized science? For historical perspective, I examine two competing early modern theological traditions that related laws of nature to different divine attributes, and their secular legacy in views ranging from Kant and Nietzsche to Humean and ‘governing’ accounts in recent analytic metaphysics. Tracing these branching offshoots of ethically charged God-concepts (...) sheds light on how our ethical ideals and ideas of natural order can still be valuably integrated. Early modern intellectualists valued the law-governed order of nature as a sign of divine Reason. In turn, Reason traditionally ascribed to God has now been partly reclaimed for humans, reframing the value of natural order anthropocentrically, in terms of the value of our own intelligence. Alternatively, Reason may be reclaimed for nature itself, as in an ‘objective’ idealism or metaphysical rationalism. However, beyond divine Reason, an influential voluntarist tradition in theology stressed a connection between laws of nature and God’s Power or free Will. Tracking how divine Power has been reinvested in human beings provides a broader context for instrumentalism and related lineages of empiricism. But secularization can also transfer Power from God to the impersonal natural world. In this light, current scientific interest in lawlike order may also reflect the inherent value of brute necessity or inhuman causal power in nature: this is a deeper way to reject anthropocentrism and to show our respect for the environment. (shrink)

Humeanism – the idea that there are no necessary connections between distinct existences – and Nomic Essentialism – the idea that properties essentially play the nomic roles that they do – are two of the most important and influential positions in the metaphysics of science. Traditionally, it has been thought that these positions were incompatible competitors. We disagree. We argue that there is an attractive version of Humeanism that captures the idea that, for example, mass essentially plays the role that (...) it actually does in the laws of nature. In this paper we consider the arguments that have lead many to conclude that Humeanism cannot be combined with Nomic Essentialism; we identify the weaknesses in these arguments; and we argue in detail that a version of Humeanism based on a variant of the Best System account of laws captures the key intuitions behind nomic essentialism. (shrink)

Whether or not we are able to do x is on many philosophical accounts of our moral practice relevant for whether we are responsible for not doing x or for being excusable for not having done x. In this paper I will examine how such accounts are affected by whether a Humean or non-Humean account of laws is presupposed. More particularly, I will argue that (on one interpretation) Humean conceptions of laws, while able to (...) avoid the consequence argument, run into what might be called “the problem of radical freedom”: Humean laws fail to constrain what we can do. By contrast, non-Humean laws (and Humean laws on a second interpretation) avoid the problem of radical freedom but have no easy way out of the consequence argument. (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)

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)

This paper is a response to Lewis’ ‘Humean Supervenience Debugged’ . Lewis was in the business of defending Humean Supervenience, and the project seemed successful until the case of chance. Lewis thus originally named chance the ‘big bad bug’ for Humean Supervenience until the aforementioned paper in which he claims victory. Here I argue that he was unsuccessful and that Humean Supervenience remains bugged by chance. I will show how this bug remains due to a misdiagnosis (...) of where the problem lies with regard to undermining. First, I define Humean Supervenience and chance, and state the bug in its original form, then secondly I describe Lewis’ attempt to remove the bug. Thirdly, I explain why the bug persists, despite Lewis’ efforts, and show the real source of the undermining problem to be due to the circularity of Humean Supervenient style accounts of chance. Finally I describe the situation this leaves chance in, and show how the incompatibility of chance and Humean Supervenience is evidence for the nonexistence of chance. I conclude that it is the circularity of the formation of Humean Supervenient laws of chance which continue to bug Humean Supervenience, leaving it untenable and resulting in little chance for chance. (shrink)

This paper defends an account of the laws of nature in terms of irreducibly modal properties (aka powers) from the threat posed by functional laws, conservation laws and symmetries. It thus shows how powers theorists can avoid ad hoc explanations and resist an inflated ontology of powers and governing laws. The key is to understand laws not as flowing from the essences of powers, as per Bird (2007), but as features of a description of (...) how powers are possibly distributed, as per Demarest (2017), Kimpton-Nye (2017, 2021) and Williams (2019); call this the Powers-BSA. This underappreciated powers-based account of laws is continuous with actual scientific practice and thereby quite naturally accommodates functional laws, conservation laws and symmetries. This paper thus positions the Powers-BSA as the leading anti-Humean account of the relationship between laws and properties. (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)

Contemporary Humeans treat laws of nature as statements of exceptionless regularities that function as the axioms of the best deductive system. Such ‘Best System Accounts’ marry realism about laws with a denial of necessary connections among events. I argue that Hume’s predecessor, George Berkeley, offers a more sophisticated conception of laws, equally consistent with the absence of powers or necessary connections among events in the natural world. On this view, laws are not statements of regularities but (...) the most general rules God follows in producing the world. Pace most commentators, I argue that Berkeley’s view is neither instrumentalist nor reductionist. More important, the Berkeleyan Best System can solve some of the problems afflicting its Humean rivals, including the problems of theory choice and Nancy Cartwright’s ‘facticity’ dilemma. Some of these solutions are available in the contemporary context, without any appeal to God. Berkeley’s account deserves to be taken seriously in its own right. (shrink)

Monism is our name for a range of views according to which the connection between dispositions and their categorical bases is intimate and necessary, or on which there are no categorical bases at all. In contrast, Dualist views hold that the connection between dispositions and their categorical bases is distant and contingent. This paper is a defence of Monism against an influential conceivability argument in favour of Dualism. The argument suggests that the apparent possibility of causal behaviour coming apart from (...) categorical bases is best explained by Dualism. We argue that Monism can explain the apparent possibility as well, if we take metaphysically alien laws — namely, laws whose metaphysical nature is alien to the actual world — into account. (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)

Can stable regularities be explained without appealing to governing laws or any other modal notion? In this paper, I consider what I will call a ‘Humean system’—a generic dynamical system without guiding laws—and assess whether it could display stable regularities. First, I present what can be interpreted as an account of the rise of stable regularities, following from Strevens [2003], which has been applied to explain the patterns of complex systems (such as those from meteorology and (...) statistical mechanics). Second, since this account presupposes that the underlying dynamics displays deterministic chaos, I assess whether it can be adapted to cases where the underlying dynamics is not chaotic but truly random—that is, cases where there is no dynamics guiding the time evolution of the system. If this is so, the resulting stable, apparently non-accidental regularities are the fruit of what can be called statistical necessity rather than of a primitive physical necessity. (shrink)

Reductive accounts of the direction of time are often paired with Humean accounts of laws, while non-reductive accounts of time are often paired with anti-Humean accounts of laws. The traditional pairing of views has recently come under question. This paper aims to clarify what sorts of anti-Humean views motivate anti-reductionism about the direction of time. It is argued that those who think (i) that the laws are metaphysically fundamental, and (ii) that the laws (...) contain time-asymmetric contents, should treat the arrow of time as metaphysically fundamental. (shrink)

It has been argued that the fundamental laws of physics do not face a ‘problem of provisos’ equivalent to that found in other scientific disciplines (Earman, Roberts and Smith 2002) and there is only the appearance of exceptions to physical laws if they are confused with differential equations of evolution type (Smith 2002). In this paper I argue that even if this is true, fundamental laws in physics still pose a major challenge to standard Humean approaches (...) to lawhood, as they are not in any obvious sense about regularities in behaviour. A Humean approach to physical laws with exceptions is possible, however, if we adopt a view of laws that takes them to be the algorithms in the algorithmic compressions of empirical data. When this is supplemented with a distinction between lossy and lossless compression, we can explain exceptions in terms of compression artefacts present in the application of the lossy laws. (shrink)

Humean reductionism about laws of nature appears to leave a central aspect of scientific practice unmotivated: If the world’s fundamental structure is exhausted by the actual distribution of non-modal properties and the laws of nature are merely efficient summaries of this distribution, then why does science posit laws that cover a wide range of non-actual circumstances? In this paper, we develop a new version of the Humean best systems account of laws based on (...) the idea that laws need to organize information in a way that maximizes their cognitive usefulness for creature like us. We argue that this account motivates scientific practice because the laws’ applicability to non-actual circumstances falls right out of their cognitive usefulness. (shrink)

I elaborate and defend a "necessitarian" interpretation of Kant's account of laws.

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 (...) class='Hi'>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)

Dispositional Essentialism is a unified anti-Humean account of the metaphysics of low-level physical properties and laws of nature. In this paper, I articulate the view that I label Canonical Dispositional Essentialism, which comprises a structuralist metaphysics of properties and an account of laws as relations in the property structure. I then present an alternative anti-Humean account of properties and laws. This account rejects CDE’s structuralist metaphysics of properties in favour of a (...) view of properties as qualitative grounds of dispositions and it rejects CDE’s view of laws as relations in favour of a view of laws as features of an efficient description of possible property distributions. I then defend this view over CDE on the grounds that it can overcome an explanatory shortcoming of CDE and that it achieves a level of continuity with science that CDE fails to achieve. The upshot of this paper is a significant narrowing of the range of possibilities in which the absolutely best unified account of laws and properties resides. (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)

Do the laws of nature supervene on ordinary, non-nomic matters of fact? Lange's criticism of Humean supervenience (HS) plays a key role in his account of natural laws. Though we are sympathetic to his account, we remain unconvinced by his criticism. We focus on his thought experiment involving a world containing nothing but a lone proton and argue that it does not cast sufficient doubt on HS. In addition, we express some concern about locating the (...) lawmakers in an ontology of primitive subjunctive facts and suggest that a 'mixed' metaphysics to the lawmaker question might be attractive. (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)

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)

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)

Miracles are commonly understood in the way David Hume defined them: as violations of the laws of nature. I argue, however, that the conjunction of Hume’s definition with a neo-Humean view of the laws of nature yields objectionable consequences. In particular, the two jointly imply that some miracles are logically impossible. A better way of thinking about miracles, I suggest, is on a neo-Aristotelian metaphysics. On that view, the laws of nature contain built-in ceteris paribus clauses (...) that allow for the possibility of external influences in the natural world. Miracles, understood as instances of external, divine influence, would therefore neither violate the laws of nature nor be instances of those laws. In this respect, neo-Aristotelians have an advantage over neo-Humeans in providing a coherent account of miracles. (shrink)

In this paper we apply the popular Best System Account of laws to typical eternal worlds – both classical eternal worlds and eternal worlds of the kind posited by popular contemporary cosmological theories. We show that, according to the Best System Account, such worlds will have no laws that meaningfully constrain boundary conditions. It’s generally thought that lawful constraints on boundary conditions are required to avoid skeptical arguments. Thus the lack of such laws given the (...) Best System Account may seem like a severe problem for the view. We show, however, that at eternal worlds, lawful constraints on boundary conditions do little to help fend off skeptical worries. So with respect to handling these skeptical worries, the proponent of the Best System Account is no worse off than their competitors. (shrink)

In a lot of domains in metaphysics the tacit assumption has been that whichever metaphysical principles turn out to be true, these will be necessarily true. Let us call necessitarianism about some domain the thesis that the right metaphysics of that domain is necessary. Necessitarianism has flourished. In the philosophy of maths we find it held that if mathematical objects exist, then they do of necessity. Mathematical Platonists affirm the necessary existence of mathematical objects (see for instance Hale and Wright (...) 1992 and 1994; Wright 1983 and 1988; Schiffer 1996; Resnik 1997; Shapiro 1997 and Zalta 1988) while mathematical nominalists, usually in the form of fictionalists, hold that necessarily such objects fail to exist (see for instance Balaguer 1996 and 1998; Rosen 2001 and Yablo 2005). In metaphysics more generally, until recently it was more or less assumed that whatever the right account of composition—the account of under what conditions some xs compose a y—that account will be necessarily true (for a discussion of theories of composition see Simons 1987 and van Inwagen 1987 and 1990; the modal status of the composition relation is explicitly addressed in Schaffer 2007; Parsons 2006 and Cameron 2007). Similarly, it has generally been assumed that whatever the right account is of the nature of properties, whether they be universals, tropes, or whether nominalism is true, that account will be necessarily true (though see Rosen 2006 for a recent suggestion to the contrary). In considering theories of persistence it has been widely held that whether objects endure or perdure through time is a matter of necessity (Sider 2001; though see Lewis 1999 p227 who defends contingent perdurantism). And with respect to theories of time it is frequently held that whichever of the A- or B-theory is true is necessarily true. A-theorists often argue that there is time in a world only if the A-theory is true at that world (see for instance McTaggart 1903; Markosian 2004; Bigelow 1996; Craig 2001) while B-theorists often argue that the A-theory is internally inconsistent (Smart 1987; Mellor 1998; Savitt 2000 and Le Poidevin 1991). Once again, we find a few recent contingentist dissenters. Bourne (2006) suggests that it is a contingent feature of time that it is tensed, and thus that the A-theory is contingently true. Worlds in which there exist only B-theoretic properties are worlds with time, it is just that time in those worlds time is radically different to the way it is actually. Other defenders of the B-theory, though not expressly contingentists, do offer arguments against versions of the A-theory that try to show that such A-theories theories are inconsistent with the actual laws of nature (see for instance Saunders 2002 and Callender 2000); these arguments, at least, leave room for the possibility that the A-theories in question are contingently false (at least on the assumption that the laws of nature are themselves contingent, an assumption that not everyone accepts). Despite some notable exceptions, necessitarianism has flourished in many, if not most, domains in metaphysics. One such exception is Lewis’ famous defence of Humean supervenience as a contingent claim about our world. Lewis does not argue that necessarily, the supervenience base for all matters of fact in a world is nothing but a vast mosaic of local matters of particular fact. Rather, he thinks that we have reason to think that our world is one in which Humean supervenience holds (see Lewis 1986 p9-10 and 1994). Another exception to the necessitarian orthodoxy is to be found in the lively debate about the modal status of the laws of nature. Here, if anything, contingentism has been the dominating force, with it generally being held that there are possible worlds in which different laws of nature hold (this view is defended by, among others, Lewis 1986 and 2010; Schaffer 2005 and Sidelle 2002). Necessitarian dissenters hold that the laws of nature are necessary, frequently because they think it is necessary that fundamental properties have the causal or nomic profiles they do (see for instance Shoemaker 1980 and 1988; Swoyer 1982; Bird 1995; Ellis and Lierse 1994). Nevertheless, when it comes to thinking about the nature of the laws themselves, the necessitarian presumption is back on firm footing. Though there is disagreement about whether the laws are generalisations that feature in the most virtuous true axiomatisation of all the particular matters of fact (often known as the Humean view of laws and defended by Ramsey 1978; Lewis 1986 and Beebee 2000) or whether laws are relations of necessity that hold between universals (a view defended by Armstrong 1983; Dretske 1977; Tooley 1977 and Carroll 1990) no one has seriously suggested that it might be a contingent matter which of these is the right account of laws. The necessitarian orthodoxy is not surprising since metaphysics is largely an a priori process. While a priori reasoning may be used to determine whether a proposition is necessary or contingent, it is not well placed (in the absence of a posteriori evidence) to determine whether a contingent proposition is actually true or false. Since metaphysicians aim to tell us which principles are true in which worlds, on the face of it the discovery that metaphysical principles are contingent seems to make part of the task of metaphysics epistemically intractable. In what follows I consider two reasons one might end up embracing contingentism and whether this would lead one into epistemic difficulty. The following section considers a route to contingent metaphysical truths that proceeds via a combination of conceptual necessities and empirical discoveries. Section 3 considers whether there might be synthetic contingent metaphysical truths, and the final section raises the question of whether if there were such truths we would be well placed to come to know them. (shrink)

There is a fundamental disconnect between the public discourse about sovereign and external debt in comparison to private domestic debt. The latter is predominantly viewed through a Humean lens, which sees economic morality in terms of contingent social institutions, justified by the valuable goods they realize; while sovereign and external debt is viewed through a Lockean lens, which sees property, contract, and debt as possessing an intrinsic moral quality, independent of social context or consequences. This Article examines whether this (...) Lockean perspective on sovereign and external debt is compatible with the dominance of Humean approaches to the domestic economy. It considers and rejects the most plausible argument for reconciling these views, which emphasizes the different qualities of cooperation in the international and domestic economies. It further argues that many standard objections to a Humean approach to sovereign debt suggest, not the Lockean approach, but rather a Hobbesian international moral skepticism. Concluding that the Lockean approach is unmotivated, this Article instead advances a Humean account of sovereign debt and default. It shows how taking seriously the demand for institutional justification and the idea of persons and peoples as free and equal provides an account of the duties of states—whether creditors, debtors or third parties—in sovereign debt crises. It further examines the implications of each approach for democratic choice about sovereign default. (shrink)

Bird reveals an important problem at the heart of Armstrong’s theory of laws of nature: to explain how a law necessitates its corresponding regularity, Armstrong is committed to a vicious regress. In his very brief response, Armstrong gestures towards an argument that, as he admits, is more of a “speculation.” Later, Barker and Smart argue that a very similar problem threatens Bird’s dispositional monist theory of laws of nature and he is committed to a similar vicious regress. In (...) this paper, first, I construct Armstrong’s would-be argument in response to Bird. Second, I argue that his response makes his account of laws and natural properties incompatible with science. Finally, I argue that Armstrong’s strategy to address Bird’s criticism can be used, quite ironically, to defuse Barker and Smart’s argument against Bird. (shrink)

It is often said that the best system account of laws needs supplementing with a theory of perfectly natural properties. The ‘strength’ and ‘simplicity’ of a system is language-relative and without a fixed vocabulary it is impossible to compare rival systems. Recently a number of philosophers have attempted to reformulate the BSA in an effort to avoid commitment to natural properties. I assess these proposals and argue that they are problematic as they stand. Nonetheless, I agree with their (...) aim, and show that if simplicity is interpreted as ‘compression’, algorithmic information theory provides a framework for system comparison without the need for natural properties. (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)

There is a common argument form in the metaphysics of natural laws literature: a theory of natural law is attacked by offering a claim L as a law of scientific field F (physics, chemistry, biology, etc.), and from this law metaphysical implications contrary to the theory are drawn. Quite often however, L would not be regarded as a law by a scientist of F. Roberts' "measurability account of laws" offers a new and interesting way to more reliably (...) identify the laws of a field F and to eliminate the L that are not laws of F from the literature. (shrink)

Bird argues that Armstrong’s necessitarian conception of physical modality and laws of nature generates a vicious regress with respect to necessitation. We show that precisely the same regress afflicts Bird’s dispositional-monist theory, and indeed, related views, such as that of Mumford & Anjum. We argue that dispositional monism is basically Armstrongian necessitarianism modified to allow for a thesis about property identity.

Fred Dretske, Michael Tooley, and David Armstrong accept a theory of governing laws of nature according to which laws are atomic states of affairs that necessitate corresponding natural regularities. Some philosophers object to the Dretske/Tooley/Armstrong theory on the grounds that there is no illuminating account of the necessary connection between governing law and natural regularity. In response, Michael Tooley has provided a reductive account of this necessary connection in his book Causation (1987). In this essay, I (...) discuss an improved version of his account and argue that it fails. First, the account cannot be extended to explain the necessary connection between certain sorts of laws—namely, probabilistic laws and laws relating structural universals—and their corresponding regularities. Second, Tooley’s account succeeds only by (very subtly) incorporating primitive necessity elsewhere, so the problem of avoiding primitive necessity is merely relocated. (shrink)

In her recent book, Faces of Inequality (2020), Moreau aims at developing a normative account of discrimination that is guided by the main features of anti-discrimination law. The critical comment argues against this methodology, indicating that due to indeterminacy relative to their underlying normative principles, central anti-discrimination norms cannot fulfill this guiding role. Further, using the content of such norms to guide ethical discussions is likely to be misleading, as it reflects evidentiary considerations that are unique to the legal (...) context. The critical comment’s claims are developed based on a close examination of indirect discrimination (or disparate impact) norms, and, as such, have wider implications for ongoing moral and political debates that are heavily influenced by the content of these norms. (shrink)