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)

Physical laws are strikingly simple, although there is no a priori reason they must be so. I propose that nomic realists of all types (Humeans and non-Humeans) should accept that simplicity is a fundamental epistemic guide for discovering and evaluating candidate physical laws. This principle of simplicity clarifies and solves several problems of nomic realism and simplicity. A consequence is that the often-cited epistemic advantage of Humeanism over non-Humeanism is exaggerated, undercutting an influential epistemological argument for Humeanism. Moreover, simplicity is (...) shown to be more tightly connected to lawhood than to mere truth. (shrink)

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

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)

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)

It is widely thought that chance should be understood in reductionist terms: claims about chance should be understood as claims that certain patterns of events are instantiated. There are many possible reductionist theories of chance, differing as to which possible pattern of events they take to be chance-making. It is also widely taken to be a norm of rationality that credence should defer to chance: special cases aside, rationality requires that one's credence function, when conditionalized on the chance-making facts, should (...) coincide with the objective chance function. It is a shortcoming of a theory of chance if implies that this norm of rationality is unsatisfiable. The primary goal of this paper is to show, on the basis of considerations concerning computability and inductive learning, that this shortcoming is more common than one would have hoped. (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)

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)

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)

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)

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)

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)

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)

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

I describe three extant attempts to identify the global external symmetries within a Humean framework with theorems of some or other deductive systematization of the world, respectively, the best system, a meta-best 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.

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)

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)

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

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)

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)

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)

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)

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 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)

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.

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 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)

If the laws of nature are deterministic, then it seems possible that a Laplacean intelligence that knows the initial conditions and the laws would be able to accurately predict everything that will ever happen. However, it would be easy to construct a counterpredictive device that falsifies any revealed prediction about its future behavior. What would then occur if a Laplacean intelligence encountered a counterpredictive device? This is the paradox of predictability. A number of philosophers have proposed solutions to it, though (...) part of my aim here is to argue that the paradox is more pernicious than has thus far been appreciated, and therefore that extant solutions are inadequate. My broader aim is to argue that the paradox motivates Humeanism about laws of nature. (shrink)

Mental causation, idea that it is us – via our minds – who cause bodily actions is as commonsensical as it is indispensable for our understanding of ourselves as rational agents. Somewhat less uncontroversial, but nonetheless widespread (at least among ordinary people) is the idea that the mind is non-physical, following the intuition that what is physical can neither act nor think nor judge morally. Taken together, and cast into a metaphysical thesis, the two intuitions yield interactive dualism: the view (...) that human persons and their minds are non-physical but can nonetheless interact with their bodies, most notably through their brains. This thesis has two main objectives: first, to defend interactive dualism against objections, and second, to show how it can blend in with a physical world in which laws of nature hold. The first part (chapter 1) consists in a brief motivation of interactive dualism as opposed to non-interactive dualism. I argue that non-interactive, epiphenomenalist dualism sacrifices so many crucial aspects of our human existence that interactive dualism is highly to be preferred to it, barring even stronger counterarguments against the latter. It is those putative counterarguments I address in parts II and III. Part II takes on the philosophical objections from the causal closure of the physical and from causal heterogeneity. The former takes the success of physics and physiology as basis for the doctrine of the causal closure of the physical (CCP). I argue against this that there is not only no convincing argument for CCP, but also that any science-based belief in CCP cannot be epistemically justified. As regards the causal heterogeneity objection, it is ‘weighed and found wanting’, because it relies on unwarranted assumptions about causation. In part III, I examine the objection from energy conservation. It roughly says that if interactive dualism were true, then energy would not be conserved, which physics taught us cannot be the case. My reply is that the underlying conception of energy (and momentum) conservation is wrong-headed and not the one that actual physicists use. Instead of being categorical and global, conservation laws are conditional and local, thereby making natural room for mental interaction. Some dualists, however, have sought to make interactive dualism conservation-friendly, notably by invoking quantum physics; I show that these attempts are unnecessary and create more problems than they solve. Finally, in chapter 9, I turn the tables on non-interactionists by investigating current neurophysiological literature on volitional actions, which, though not addressing the question directly, still encourages the interactive dualist picture more than a non-interactionist one. Part IV is about the interplay between interactive dualism and the laws of nature. The ultimate goal is, if possible, to come up with a theory of the laws of nature that explains the lawlike behavior of nature and at the same time makes room for interaction. I begin by pointing out that the laws of nature are or at least should be what physicalists worry about (chapter 10). I then proceed with a historical survey on the development of the notion of laws of nature (chapter 11) that sheds light on its theistic origin. This is followed by an inquiry into the question how a law of nature could possibly be broken (chapter 12) and a survey of the extant metaphysical theories of the laws of nature with special regard to their receptivity to interaction (chapter 13). Finally, in chapter 14 I develop a theory of the laws of nature both faithful to their divine origin and the possibility of mental interaction: dispositionalist divine decretalism, a synthesis of dispositionalism and Jeffrey Koperski’s divine decretalism. (shrink)

According to the Nomological Argument, observed regularities in nature are best explained by an appeal to a supernatural being. A successful explanation must avoid two perils. Some explanations provide too little structure, predicting a universe without regularities. Others provide too much structure, thereby precluding an explanation of certain types of lawlike regularities featured in modern scientific theories. We argue that an explanation based in the creative, intentional action of a supernatural being avoids these two perils whereas leading competitors do not. (...) Although our argument falls short of a full defense, it does suggest that the Nomological Argument is worthy of philosophical attention. (shrink)

The growing interest in fragmentalism is one of the most exciting trends in philosophy of time and is gradually reshaping the contemporary debate. Providing an extensive interpretation of this view, Samuele Iaquinto and Giuliano Torrengo articulate a novel theory of the passage of time and argue that it is the most effective in vindicating the inherent dynamism of reality. Iaquinto and Torrengo offer the first full-range application of fragmentalism to a number of metaphysical topics, including the open future, causation, the (...) A-theoretic interpretation of special relativity and time travel. The resulting picture, they argue, conveys the potential of a radically new understanding of time. (shrink)

The common view that Hume is a regularity theorist about laws of nature isn’t textually well grounded. The texts show that he thinks of them as objective governing principles that could conceivably be violated while still counting as a law of nature. This is a standard view at the time, and Hume borrows it from others. He implies that the best evidence for rational religion is the exceptionless workings of the laws of nature, he argues that suicide isn’t incompatible with (...) the will of God by identifying his will with the laws of nature, and he has Philo argue for the existence of God from the simplicity of the laws governing the world. He sheds some of the theological baggage that laws of nature carry at the time, but not all of it. (shrink)

This paper explores a novel notion of self-explanation that combines ideas from two sources: the tripartite account of explanation, according to which a proposition can help explain another either in the capacity of a reason why the latter obtains or in the capacity of an explanatory link, and the notion of an empty-base explanation, which generalizes the ideas of explanation by zero-grounding and explanation by status. After having introduced these ideas and the novel notion of self-explanation, I argue that the (...) latter has the potential to resist extant arguments against the possibility of self-explanation. In the remainder of the paper, I discuss candidates for such self-explanatory propositions and suggest possible applications for Humeanism about laws of nature, the debate on the grounds of ground, the rationalist tradition, and philosophical theology. (shrink)

This paper shows how a niche account of the metaphysics of laws of nature and physical properties—the Powers-BSA—can underpin both a sense in which the laws are metaphysically necessary and a sense in which it is true that the laws could have been different. The ability to reconcile entrenched disagreement should count in favour of a philosophical theory, so this paper constitutes a novel argument for the Powers-BSA by showing how it can reconcile disagreement about the laws’ modal status. This (...) paper also constitutes a defence of modal necessitarianism, the interesting and controversial view according to which all worlds are nomologically identical, because it shows how the modal necessitarian can appease the orthodox contingentist about laws. (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)

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)

On the standard analysis, a counterfactual conditional such as “If P had been the case, then Q would have been the case” is true in the actual world if, in all nearest possible worlds in which its antecedent (P) is true, its consequent (Q) is also true. Despite its elegance, this analysis faces a difficulty if the laws of nature are deterministic. Then the antecedent could not have been true, given prior conditions. So, it is unclear what the relevant “nearest (...) possible worlds” are. David Lewis suggested that they are ones in which a local breach of the laws occurred: a “small miracle”. Others have suggested that they are ones in which the initial conditions were different (“backtracking”). I propose another response. It builds on the idea that the special sciences, where counterfactual reasoning is most common, operate at a higher level of description from fundamental physics, and that the world may behave indeterministically at higher levels even if it behaves deterministically at the fundamental physical one. The challenge from determinism can then be bypassed for many special-science counterfactuals. (shrink)

Humeans about laws maintain that laws of nature are nothing over and above the complete distribution of non-modal, categorical properties in spacetime. ‘Humean compatibilists’ argue that if Humeanism about laws is true, then agents in a deterministic world can do otherwise than they are lawfully determined to do because of the distinctive nature of Humean laws. More specifically, they reject a central premise of the Consequence argument by maintaining that deterministic laws of nature are ‘up to us’. In this paper, (...) we present a new argument for Humean compatibilism. We argue that Humeans about laws indeed have resources for defending compatibilism that non-Humeans lack. Moreover, we show that utilizing these resources does not lead to objectionable consequences. Humeans about laws should thus embrace Humean compatibilism. (shrink)

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

It can seem obvious that we live in a world governed by laws of nature, yet it was not until the seventeenth century that the concept of a law came to the fore. Ever since, it has been attended by controversy: what does it mean to say that Boyle's law governs the expansion of a gas, or that the planets obey the law of gravity? Laws are rules that permit calculations and predictions. What does the universe have to be like, (...) if it is to play by them? This book sorts the most prominent answers into three families. Laws first arose in a theological context; they govern events only because God enforces them. Those wishing to reverse the order of explanation, and argue that the powers of objects fix the laws, struggled to claim for themselves the results of new science. The stand-off between these two families bred a third which rejects any kind of enforcer for the laws. On this view, laws summarize events; they do not govern anything. This book traces the fortunes of the three families, from their origins to the present day. It uses objections - and the revisions needed to answer them - to produce the best representative of each. Along the way, it tries to settle the rules of this game, the debate over laws of nature. What should we expect from an account of laws? The book aims to help readers develop their own desiderata and judge the merits of the competing positions. (shrink)

Sparrows fly because they are birds. This mushroom is poisonous because it is an Amanita muscaria. Pointing out the kind to which things belong explains many of their properties. Jonathan Lowe’s four-category ontology and his account of laws of nature provide a framework to account for the explanatory appeal of referring to kind membership. For Lowe, “Electron has Unit-negative charge” is a typical example for a law of nature: a kind universal characterized by a property universal. We present both Lowe’s (...) original account of laws of nature and later developments, and show how Lowe’s account can help to solve notorious problems of other accounts, namely, the regularity view and the Armstrong-Dretske-Tooley view. We argue that there are two challenges that Lowe’s view cannot master. First, Lowe conflates generics and dispositions, which is a considerable problem for Lowe, because his account of dispositional predication and his account of laws of nature are intimately connected. Second, there is the identification problem of fully specifying and identifying the formal ontological relation of characterization between kind universals and property universals. In order to solve these problems, we develop an account of formal causation inspired by Aristotle’s theory of explanation in his Posterior Analytics. Though very close to Lowe’s own account, our neo-Aristotelian account avoids Lowe’s confusion regarding dispositions, avoids overdetermination through several similar laws of nature, and provides an answer to the identification problem: The characterization of a kind universal by a property universal constitutes the relation of formal causation. By virtue of this relation, the kind Amanita muscaria is the formal cause of this mushroom having the attribute of being poisonous. (shrink)

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

I articulate a Global Best-System Account (GBSA) of laws of nature along broadly Mill–Ramsey–Lewis lines. The guiding idea is that the job of laws is to capture real patterns across time—where a pattern is real if it allows to compress information about matters of particular fact. The GBSA’s key ingredient is a definition of ‘best system’ in terms of a ranking method that meets a number of desiderata: it is rigorously defined; it outputs the ranking based on the candidate systems’ (...) epistemic virtues; it is objective, in that the output does not depend on one’s choice of basic concepts; it avoids two trivialization results (by Lewis, and Arrow-Okasha); and it does not appeal to naturalness, or other metaphysical notions in that vicinity. Although the GBSA is independent of the controversial thesis of Humean Supervenience, it satisfies the weaker thesis that laws of nature supervene on the total physical state of the world. Moreover, the resulting notion of lawhood is hyperintensional, unlike the neighboring notion of nomological necessity. Finally, GBSA-laws do not track naturalness, contra the Lewisian orthodoxy. (shrink)

Nomic realists have traditionally put laws to work within a theory of natural modality, in order to provide a metaphysical source for causal necessitation, counterfactuals, and dispositions. However, laws are well-suited to perform other work as well. Necessitation is a widespread phenomenon and includes cases of categorial, conceptual, grounding, mathematical and normative necessitation. A permissive theory of universals allows us to extend nomic realism into these other domains. With a particular focus on grounding necessitation, it is argued that the sorts (...) of reasons for positing laws in the natural causal domain also apply in other domains. Laws might well be the source of all first-order modality. (shrink)

According to the Best System Account of lawhood, laws of nature are theorems of the deductive systems that best balance simplicity and strength. In this paper, I advocate a different account of lawhood which is related, in spirit, to the BSA: according to my account, laws are theorems of deductive systems that best balance simplicity, strength, and also calculational tractability. I discuss two problems that the BSA faces, and I show that my account solves them. I also use my account (...) to illuminate the nomological character of special science laws. (shrink)

Views which deny that there are necessary connections between distinct existences have often been criticized for leading to inductive skepticism. If there is no glue holding the world together then there seems to be no basis on which to infer from past to future. However, deniers of necessary connections have typically been unconcerned. After all, they say, everyone has a problem with induction. But, if we look at the connection between induction and explanation, we can develop the problem of induction (...) in a way that hits deniers of necessary connections, but not their opponents. The denier of necessary connections faces an `internal' problem with induction -- skepticism about important inductive inferences naturally flows from their position in a way that it doesn't for those who accept necessary connections. This is a major problem, perhaps a fatal one, for the denial of necessary connections. (shrink)