This is the first part of a two-part article in which we defend the thesis of Humean Supervenience about Laws of Nature (HS). According to this thesis, two possible worlds cannot differ on what is a law of nature unless they also differ on the Humean base. The Humean base is easy to characterize intuitively, but there is no consensus on how, precisely, it should be defined. Here in Part I, we present and motivate (...) a characterization of the Humean base that, we argue, enables HS to capture what is really stake in the debate, without taking on extraneous commitments. (shrink)

In Part I, we presented and motivated a new formulation of Humean Supervenience about Laws of Nature (HS). Here in Part II, we present an epistemological argument in defense of HS, thus formulated. Our contention is that one can combine a modest realism about laws of nature with a proper recognition of the importance of empirical testability in the epistemology of science only if one accepts HS.

In Part I, we presented and motivated a new formulation of Humean Supervenience about Laws of Nature (HS). Here in Part II, we present an epistemological argument in defense of HS, thus formulated. Our contention is that one can combine a modest realism about laws of nature with a proper recognition of the importance of empirical testability in the epistemology of science only if one accepts HS.

Humean compatibilism combines a Humean conception of laws of nature with a strong dual-ability condition for free will that requires that agents possess the ability to decide differently when they make a free decision. On the Humean view of laws of nature, laws of nature are taken to be contingent non-governing descriptions of significant regularities that obtain in the entire history of the universe. On Humean compatibilism, agents are taken to (...) possess dual ability when making free decisions because what the laws of nature will finally be is (at least partially) dependent upon how an agent decides. In this paper, I argue that the tenability of Humean compatibilism depends in part upon what theory of time is correct. More specifically, I argue that Humean compatibilism is untenable in a deterministic universe if eternalism is true. (shrink)

This is the first part of a two-part article in which we defend the thesis of Humean Supervenience about Laws of Nature (HS). According to this thesis, two possible worlds cannot differ on what is a law of nature unless they also differ on the Humean base. The Humean base is easily to characterize intuitively, but there is no consensus on how, precisely, it should be defined. Here in Part I, we present and motivate (...) a characterization of the Humean base that, we argue, enables HS to capture what is really stake in the debate, without taking on extraneous commitments. (shrink)

This the first part of a two‐part article in which we defend the thesis of Humean Supervenience about Laws of Nature (HS). According to this thesis, two possible worlds cannot differ on what is a law of nature unless they also differ on the Humean base. the Humean base is easy to characterize intuitively, but there is no consensus on how, precisely, it should be defined. Here in Part I, we present and motivate a (...) characterization of the Humean base that, we argue, enables HS to capture what is really stake in the debate, without taking on extraneous commitments. “I tend to picture the [facts of the form “it is a law that s” and “is is not a lw that s”] as having been sprinkled been sprinkled like powdered sugar over the doughy surface of the non‐nomic facts.”—Marc Lange2 “Avoid empty carbohydrates.”—Runner's World3. (shrink)

Tn this paper I explore and to an extent defend HS. The main philosophical challenges to HS come from philosophical views that say that nomic concepts-laws, chance, and causation-denote features of the world that fail to supervene on non-nomic features. Lewis rejects these views and has labored mightily to construct HS accounts of nomic concepts. His account of laws is fundamental to his program, since his accounts of the other nomic notions rely on it. Recently, a number of (...) philosophers have criticized Lewis's account, and Humean accounts of laws generally, for delivering, at best, a pale imitation ofthe genuine item. These philosophers think that the notion of law needed by science requires laws-if there are any-to be fundamental features of our world that are completely distinct from and not supervenient on the particular facts that they explain. I side with Lewis against these philosophers. Here I will argue that although Lewis-laws don't fulfill all our philosophical expectations, they do play the roles that science needs laws to play. The metaphysics and epistemology of Humean laws, and more specifically, Lewis-laws, are in much better shape than the metaphysics and epistemology of the main anti-Humean alternatives. However, I do have inisgivings about Lewis's account. Both he and his critics assume that the basic properties are so individuated so that the laws are not metaphysically necessary. If this assumption is rejected, then the question of Humean supervenience lapses. I conclude with a brief discussion of this position. (shrink)

Acceptance of Humean Supervenience and thereductive Humean analyses that entail it leadsto a litany of inadequately explained conflictswith our intuitions regarding laws andpossibilities. However, the non-reductiveHumeanism developed here, on which law claimsare understood as normative rather than factstating, can accommodate those intuitions. Rational constraints on such norms provide aset of consistency relations that ground asemantics formulated in terms offactual-normative worlds, solving theFrege-Geach problem of construing unassertedcontexts. This set of factual-normative worldsincludes exactly the intuitive sets ofnomologically possible worlds (...) associated witheach possible set of laws. The extension ofthe semantics to counterfactual and subjunctiveconditionals is sketched. Potential objectionsinvolving subjectivity, mind-dependence, andnon-factuality are discussed. (shrink)

Humeanism about laws of nature — the view that the laws reduce to the Humean mosaic — is a popular view, but currently existing versions face powerful objections. The non-supervenience objection, the non-fundamentality objection and the explanatory circularity objection have all been thought to cause problems for the Humean. However, these objections share a guiding thought — they are all based on the idea that there is a certain kind of divergence between the practice of (...) science and the metaphysical picture suggested by Humeanism. -/- I suggest that the Humean can respond to these objections not by rejecting this divergence, but by arguing that is appropriate. In particular the Humean can, in the spirit of Loewer (2012), distinguish between scientific and metaphysical explanation — this is motivated by differing aims of explanation in science and metaphysics. And they can further leverage this into distinctions between scientific and metaphysical fundamentality and scientific and metaphysical possibility. We can use these distinctions to respond to the objections that the Humean faces. (shrink)

It is shown that Lewis’ ontological doctrine of Humean supervenience incorporates at its foundation the so-called separability principle of classical physics. In view of the systematic violation of the latter within quantum mechanics, the claim that contemporary physical science may posit non-supervenient relations beyond the spatiotemporal ones is reinforced on a foundational basis concerning constraints on the state representation of physical systems. Depending on the mode of assignment of states to quantum systems — unit state vectors versus statistical density (...) operators — we distinguish between strongly and weakly non-Humean, non-supervenient relations. It is demonstrated that in either case, the relations of quantum entanglement constitute prototypical examples of irreducible physical relations that do not supervene upon a spatiotemporal arrangement of Humean qualities, weakening, thereby, the thesis of Humean supervenience. In this respect, the status of Lewis’ recombination principle is examined, whereas his conception of lawhood is critically investigated. It is concluded that the assumption of ontological reductionism, as expressed in Lewis’ Humean doctrine, cannot be regarded as a reliable code of the nature of the physical world and its contents. It is proposed instead that due to the undeniable existence of non-supervenient relations, a metaphysic of relations of a moderate kind ought to be acknowledged as an indispensable part of our understanding of the natural world at a fundamental level. (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)

David Lewis has proposed an analysis of lawhood in terms of membership of a system of regularities optimizing simplicity and strength in information content. This article studies his proposal against the broader background of the project of Humean supervenience. In particular, I claim that, in Lewis's account of lawhood, his intuition about small deviations from a given law in nearby worlds (in order to avoid backtracking and epiphenomena) leads to the conclusion that laws do not support (certain) counterfactuals (...) and do not bestow nomic necessity on (certain) facts induced by these laws. Support of counterfactuals and nomic necessity, however, are widely held to be important aspects of the concept of lawhood. In my view, therefore, it is not possible to abandon these criteria in any satisfactory analysis of the notion of laws of nature. In a final section, I suggest that the whole project of Humean supervenience is misleading. It does not sufficiently take notice of the important role that reasoning about contrary-to-fact situations plays in modern scientific practice. (shrink)

One of the main arguments against interventionist views of special divine action is that God would not violate his own laws. But if intervention entails the breaking of natural law, what precisely is being broken? While the nature of the laws of nature has been widely explored by philosophers of science, important distinctions are often ignored in the science and religion literature. In this paper, I consider the three main approaches to laws: Humean anti-realism, (...) supervenience on more fundamental aspects of metaphysics, and nomological realism. The first denies that there is any metaphysical reality behind laws or causation. The second holds that laws supervene on capacities, dispositions, or counterfactuals. The third takes laws to be irreducible aspects of reality. The mechanics of special divine action and worries about intervention vary depending on which view of law one holds. In the end, I argue that early modern natural philosophers, who first introduced law-language for nature, largely had it right. Laws are not created entities or powers that act as intermediaries between God and nature; they are best understood as expressions of God’s will for nature. The outstanding question is whether such a view inevitably lands in occasionalism. (shrink)

La metafísica de la Superveniencia Humeana ha sido atacada por dos alternativas explícitamente anti-Humeanas: el Realismo Nómico y el Esencialismo Disposicional. Cada una de estas alternativas ofrece una explicación ontológica de la actual distribución de instanciaciones de primer orden. Ambas sostienen, contra el Humeano, que esta distribución no es un accidente metafísico. En este artículo argumento que las explicaciones ofrecidas por ellas son ilusorias. -/- The metaphysics of Humean Supervenience has been attacked by two explicitly anti-Humean alternatives: Nomic (...) Realism and Dispositional Essentialism. Each one of these alternatives offers an ontological explanation of the actual distribution of first-order instantiations. They both claim, against the Humean, that this distribution is not a metaphysical accident. In this paper, I argue that the explanations offered by them are illusory. (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)

Reductionists about dispositions must either say the natural properties are all dispositional or individuate properties hyperintensionally. Lewis stands in as an example of the sort of combination I think is incoherent: properties individuated by modal profile + categoricalism.

Nomological Humeanism has developed into a research program encompassing several variations on a single theme, namely, the view that laws are statements about regularities that we find in nature. After briefly revisiting an early form of nomological Humeanism in Hume’s critique of the idea of necessary connection, this article critically examines Lewis’ two-fold approach based on Humean supervenience and the best system account. We shall point out three limits of nomological Humeanism, which are widely recognized in the (...) literature: its inadequacy in view of physical theories, its explanatory circularity, and its purported anthropomorphism, all of which advocates of nomological Humeanism have attempted to overcome Humeanism. Lastly, we will argue that nomological Humeanism fails to provide a suitable notion of modality for laws of nature. This latter issue continues to represent a live challenge for empiricism in the philosophy of physical laws. (shrink)

Recently, proponents of Humean Supervenience have challenged the plausibility of the intuition that the laws of nature ‘govern’, or guide, the evolution of events in the universe. Certain influential thought experiments authored by John Carroll, Michael Tooley, and others, rely strongly on such intuitions. These thought experiments are generally regarded as playing a central role in the lawhood debate, suggesting that the Mill-Ramsey-Lewis view of the laws of nature, and the related doctrine of the (...) class='Hi'>Humean Supervenience of laws, are false. In this paper, I take on these recent challenges, arguing that the intuition that the laws govern should be taken seriously. Still, I find the recent discussions insightful, in certain ways. Employing some ideas from one of the critics, I draw some non-standard conclusions about the significance of the thought experiments to the lawhood debate. (shrink)

I show how the two great Humean ways of understanding laws of nature, projectivism and systems theory, have unwittingly reprised developments in metaethics over the past century. This demonstration helps us explain and understand trends in both literatures. It also allows work on laws to “leap- frog” over the birth of many new positions, the nomic counterparts of new theories in metaethics. However, like leap-frogging from agriculture to the internet age, it’s hardly clear that we’ve landed (...) in a good place. My reactionary advice is to return to Hume and work on the central insights that motivated Humeanism about modality in the first place. When updated with contemporary insights, there we will find an attractive naturalistic theory of laws, or so I’ll argue, and along the way we’ll see how projectivism and systems theory both get something right about this overall theory. (shrink)

Laws of nature have various roles in scientific practice. It is widely agreed that an adequate theory of lawhood ought to align with the roles that scientists assign to the laws. But philosophers disagree over whether Humean laws or non-Humean laws are better at filling these roles. In this paper, I provide an argument for settling this dispute. I consider possible situations in which scientists receive conclusive evidence that—according to the non-Humean—falsifies their (...) beliefs about the laws, but which—according to the Humean—does not falsify their beliefs about the laws. I argue that, in these possible scenarios, all law-related aspects of scientific practice would remain unchanged. In other words, scientists would treat the regularities “preferred” by the Humean as the laws of nature. On this basis, I conclude that non-Humean laws fail to align with scientific practice. (shrink)

This paper attempts to develop a projectivistic understanding of chance or objective probability or partial determination. It does so by critically examining David Lewis’ philosophy of probability and his defense of Humean Supervenience, building thereupon the constructive projectivistic alternative, which will basically be a suitable reinterpretation of de Finetti’s position. Any treatment of the topic must show how it extends to natural necessity or deterministic laws or full determination in perfect parallel. The paper indicates at the end how (...) this demand can be met. (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)

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

condition T. Moreover, such a characterization would be perfectly compatible with the possibility of there being events that were causally related, ...

John Carroll undertakes a careful philosophical examination of laws of nature, causation, and other related topics. He argues that laws of nature are not susceptible to the sort of philosophical treatment preferred by empiricists. Indeed he shows that emperically pure matters of fact need not even determine what the laws are. Similar, even stronger, conclusions are drawn about causation. Replacing the traditional view of laws and causation requiring some kind of foundational legitimacy, the author (...) argues that these phenomena are inextricably intertwined with everything else. This distinctively clear and detailed discussion of what it is to be a law will be valuable to a broad swathe of philosophers in metaphysics, the philosophy of mind, and the philosophy of science. (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 Computational Theory of the Laws of Nature entails that the accessibility relation for nomological necessity is not symmetric or transitive. This means that nomologically possible worlds need not share our world's laws. This subverts a standard style of argument against Humean Supervenience.

In a recent paper, Barry Loewer attempts to defend Humeanism about laws of nature from a charge that Humean laws are not adequately explanatory. Central to his defense is a distinction between metaphysical and scientific explanations: even if Humeans cannot offer further metaphysical explanations of particular features of their “mosaic,” that does not preclude them from offering scientific explanations of these features. According to Marc Lange, however, Loewer’s distinction is of no avail. Defending a transitivity principle (...) linking scientific explanantia to their metaphysical grounds, Lange argues that a charge of explanatory inadequacy resurfaces once this intuitive principle is in place. This paper surveys, on behalf of the Humean, three strategies for responding to Lange’s criticism. The ready availability of these strategies suggests that Lange’s argument may not bolster anti-Humean convictions, since the argument rests on premises that those not antecedently sharing these convictions may well reject. The three strategies also correspond to three interesting ways of thinking about relations of grounding linking Humean laws and their instances, all of which are consistent with theses of Humean supervenience, and some of which have been heretofore overlooked. (shrink)

First published in 1985, D. M. Armstrong's original work on what laws of nature are has continued to be influential in the areas of metaphysics and philosophy of science. Presenting a definitive attack on the sceptical Humean view, that laws are no more than a regularity of coincidence between stances of properties, Armstrong establishes his own theory and defends it concisely and systematically against objections. Presented in a fresh twenty-first-century series livery, and including a specially commissioned (...) preface written by Marc Lange, illuminating its continuing importance and relevance to philosophical enquiry, this influential work is available for a new generation of readers. (shrink)

Humeanism about laws of nature is, roughly, the view that the laws of nature are just patterns, or ways of describing patterns, in the mosaic of events. In this paper I survey some of the (many!) objections that have been raised to Humeanism, considering how the Humean might respond. And I consider how we might make a positive case for Humeanism. The common thread running through all this is that the viability of the Humean (...) view relies on the Humean having an importantly different conception of explanation to the anti-Humean. (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)

3 LIBERTARIANISM Now that we have discussed determinism and laws of nature, let us finally turn to libertarianism. Traditionally, libertarianism has been viewed as an incompatibilist theory of free will, as it requires the existence of real ...

Humeans and anti-Humeans agree that laws of nature should explain scientifically particular matters of fact. One objection to Humean accounts of laws contends that Humean laws cannot explain particular matters of fact because their explanations are harmfully circular. This article distinguishes between metaphysical and semantic characterizations of the circularity and argues for a new semantic version of the circularity objection. The new formulation suggests that Humean explanations are harmfully circular because the content of (...) the sentences being explained is part of the content of the sentences doing the explaining. I describe the nature of partial content and demonstrate how this account of partial content renders Humean explanations ineffective while sparing anti-Humean explanations from the same fate. 1Introduction2Standard Formulations of the Circularity Charge3Humean Responses4Semantic Characterizations of the Circularity Worry 4.1Hempel and Oppenheim’s semantic circularity concern4.2A new version of the semantic circularity charge4.3Partial content as a guide to circularity5Humean Responses to the Semantic Circularity Charge 5.1Smuggling in metaphysics through the back door?5.2Do anti-Humean laws fare any better?5.3The over-generalization concern6ConclusionAppendix. (shrink)

Some recent literature [Hicks, M. T. and van Elswyk. P., (2015) pp. 433-443, 2015; Bhogal, H. (2017), pp. 447-460] has argued that the non-Humean conceptions of laws of nature have a same weakness as the Humean conceptions of laws of nature. That is, both conceptions face an explanatory circularity problem. The argument is as follows: the Humean and the non-Humean conceptions of laws of nature agree that the law statements are (...) universal generalisations; thus, both conceptions are vulnerable to an explanatory circularity problem between the laws of nature and their instances. In this paper, I argue that Armstrong’s necessitarian view of laws of nature is invulnerable to this explanatory circularity problem. (shrink)

What is the origin of the concept of a law of nature? How much does it owe to theology and metaphysics? To what extent do the laws of nature permit contingency? Are there exceptions to the laws of nature? Is it possible to give a reductive analysis of lawhood, or is it a primitive? -/- Twelve brand-new essays by an international team of leading philosophers take up these and other central questions on the laws (...) of nature, whilst also examining some of the most important intuitions and assumptions that have guided the debate over laws of nature since the concept's invention in the seventeenth century. -/- Laws of Nature spans the history of philosophy and of science, contemporary metaphysics, and contemporary philosophy of science. Contents: 1. Intuitions and Assumptions in the Debate over Laws of Nature, Walter Ott and Lydia Patton 2. Early Modern Roots of the Philosophical Concept of a Law of Nature, Helen Hattab 3. Laws of Nature and the Divine Order of Things: Descartes and Newton on Truth in Natural Philosophy, Mary Domski 4. Leges sive natura: Bacon, Spinoza, and a Forgotten Concept of Law, Walter Ott 5. Laws and Powers in the Frame of Nature, Stathis Psillos 6. Laws and Ideal Unity, Angela Breitenbach 7. Becoming Humean, John W. Carroll 8. A Perspectivalist Better Best System Account of Lawhood, Michela Massimi 9. Laws: An Invariance Based Account, James Woodward 10. How the Explanations of Natural Laws Make Some Reducible Physical Properties Natural and Explanatorily Powerful, Marc Lange 11. Laws and their Exceptions, Stephen Mumford 12. Are laws of nature consistent with contingency?, Nancy Cartwright and Pedro Merlussi. (shrink)

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

Brian Cutter objected to the consequence argument due to its dependence on the principle that miracle workers are metaphysically impossible. A miracle worker is someone who has the ability to act in a way such that the laws of nature would be violated. While there is something to the thought that agents like us do not have this ability, Cutter claims that there is no compelling reason to regard miracle workers as metaphysically impossible. However, the paper contends that (...) miracle workers are indeed impossible according to well-known theories concerning the laws of nature. This result highlights the reliance of the consequence argument on a plausible premise, which is widely accepted by proponents of non-Humean views of laws. The paper also provides a way to explain away the intuition that miracle workers are possible, but this has the upshot that a recent, two-dimensional formulation of the consequence argument is unsound. (shrink)

Hume defined ‘cause’ three times over. The two principal definitions (constant conjunction, felt determination) provide the anchors for the two main strands of the modem empiricist accounts of laws of nature 1 while the third (the counter factual definition 2) may be seen as the inspiration of the nonHumean necessitarian analyses. Corresponding to the felt determination definition is the account of laws that emphasizes human attitudes, beliefs, and actions. Latter day weavers of this strand include Nelson Goodman, (...) A. J. Ayer, and Nicholas Rescher. In Fact, Fiction and Forecast Goodman writes: “I want to emphasize the Humean idea that rather than a sentence being used for prediction because it is a law, it is called a law because it is used for prediction” (1955, p. 62). In “What is a law of nature?”, Ayer explains that the difference between ‘generalizations of fact’ and ‘generalizations of law’ “lies not so much on the side of facts which make them true, as in the attitude of those who put them forward” (1956, p. 162). And in a similar vein, Rescher maintains that lawfulness is “mind-dependent”; it is not something which is discovered but which is supplied: “Lawfulness is not found in or extracted from the evidence but superadded to it. Lawfulness is a matter of imputation” (1970, p. 107). By contrast, the constant conjunction definition promotes the view that laws are to be analyzed in terms of the de re characteristics of regularities, independently of the attitudes and actions of actual or potential knowers. (shrink)

Are the laws of nature consistent with contingency about what happens in the world? That depends on what the laws of nature actually are, but it also depends on what they are like. The latter is the concern of this chapter, which looks at three views that are widely endorsed: ‘Humean’ regularity accounts, laws as relations among universals, and disposition/powers accounts. Given an account of what laws are, what follows about how much contingency, (...) and of what kinds, laws allow? In all three cases, the authors argue, the root idea of what laws are does not settle the issue of whether they allow contingency. Advocates of the different accounts may argue for one view or another on the issue, but this will be an add-on rather than a consequence of the basic view about what laws are. -/- . (shrink)

Realists about laws of nature and their Humean opponents disagree on whether laws ‘govern’. An independent commitment to the ‘governing conception’ of laws pushes many towards the realist camp. Despite its significance, however, no satisfactory account of governance has been offered. The goal of this article is to develop such an account. I base my account on two claims. First, we should distinguish two notions of governance, ‘guidance’ and ‘production’, and secondly, explanatory phenomena other than (...) laws are also candidates for governance. My goal is to develop a unified account which captures both guidance and production as well as the governance of phenomena, such as essence and logical consequence. The account of governance I develop belongs to the family of modal accounts, which was popularized by David Armstrong, but it also employs essentialist resources. If successful, this modal-essentialist account not only reveals the costs that proponents of governance incur, but it also puts that important notion on a solid theoretical foundation. (shrink)

This paper addresses a famous objection against David Lewis’s Best System Analysis (BSA) of laws of nature. The objection—anticipated and discussed by Lewis (1994)—focuses on the standards of simplicity and strength being (in part) a matter of psychology. Lewis’s answer to the objection relies on his metaphysics of natural properties and its ability to single out the robustly best system, a system that is expected to come out far ahead of its rivals under any standard of simplicity and (...) strength. The main task of this paper is to argue that Lewis’s reply to the objection in terms of nature being kind to us does not succeed, if nature’s kindness is understood in terms of the naturalness of the properties composing the Humean mosaic. For epistemic access to natural properties is downstream to any previous identification of the best system. A possible Lewisian rejoinder in terms of a cross-world Humean mosaic of natural properties is considered and rebutted. The paper concludes by suggesting that Lewis could instead avail himself of a better answer to the objection, if the standards of simplicity and strength were reinterpreted along perspectivalist lines. (shrink)

This thesis investigates the conceptual relationship between laws of nature and free will. In order to clarify the discussion, I begin by distinguishing several questions with respect to the nature of a law: i) do the laws of nature cover everything that happens? ii) are they deterministic? iii) can there be exceptions to universal and deterministic laws? iv) do the laws of nature govern everything in the world? In order to answer these (...) questions I look at three widely endorsed accounts of laws: "Humean" regularity accounts, laws as relations among universals, and the dispositional essentialist account. I argue that there is nothing in the very nature of a law - in any of the accounts surveyed - that implies a positive answer to questions (i) and (ii). I show that this has important consequences for the free will problem. I then turn to the compatibility of free will and determinism. I focus on the Humean view and the dispositional essentialist account of laws. And the bulk of this discussion concerns the consequence argument, especially the question of whether the laws of nature are "up to us". I show that, on the dispositional conception of laws, there is no sense in which the laws of nature are up to us, contrary to the Humean view. However, this does not mean that there is no room for free will on the dispositional account. I argue that free will requires the laws of nature to be limited in scope, rather than being indeterministic. I conclude by showing that this allows one to resist the claim that indeterminism rules out free will. (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)

Three popular views regarding the modal status of the laws of nature are discussed: Humean Supervenience, nomic necessitation, and scientific/dispositional essentialism. These views are examined especially with regard to their take on the apparent modal force of laws and their ability to explain that modal force. It will be suggested that none of the three views, at least in their strongest form, can be maintained if some laws are metaphysically necessary, but others are metaphysically contingent. (...) Some reasons for thinking that such variation in the modal status of laws exists will be presented with reference to physics. This drives us towards a fourth, hybrid view, according to which there are both necessary and contingent laws. The prospects for such a view are studied. (shrink)

Scott Sehon argues that the conception of determinism employed in the Consequence Argument is implausible because it rules out the logical possibility of the laws of nature being violated. Sehon says, for instance, that determinism is incompatible with the logical possibility of an interventionist God. His objection to the Consequence Argument boils down to a way of reading the box in what is implied by van Inwagen's conception of determinism. Sehon reads the box as logical necessity, and this (...) clearly precludes the logical possibility of the laws of nature being violated. However, I argue that determinism as employed in the argument is not implausible. First, I try to show that it is legitimate to read the box of □ as either metaphysical or logical necessity depending on the account of laws that one assumes. If one accepts a fully Humean account of laws, then the box should be read as logical necessity. Nevertheless, I argue that this is not a problem for the Humean. On the other hand, if one reads the box as metaphysical necessity, which is mainly motivated by the dispositional account of laws and might be motivated by Armstrong's account, then determinism is compatible with the logical possibility of the laws being violated. (shrink)

This article argues for a revised best system account of laws of nature. David Lewis’s original BSA has two main elements. On the one hand, there is the Humean base, which is the totality of particular matters of fact that obtain in the history of the universe. On the other hand, there is what I call the ‘nomic formula’, which is a particular operation that gets applied to the Humean base in order to output the (...) class='Hi'>laws of nature. My revised account focuses on this latter element of the view. Lewis conceives of the nomic formula as a balance of simplicity and strength, but I argue that this is a mistake. Instead, I motivate and develop a different proposal for the standards that figure into the nomic formula, and I suggest a rationale for why these should be the correct standards. Specifically, I argue that the nomic formula should be conceived as a collection of desiderata designed to generate principles that are predictively useful to creatures like us. The resulting view—which I call the ‘best predictive system’ account of laws—is thus able to explain why scientists are interested in discovering the laws, and it also gives rise to laws with the sorts of features that we find in actual scientific practice 1Introduction2The LOPP3A Problem with Lewis's Formula4A Pragmatic Account of the Nomic Formula 4.1Informative dynamics4.2Wide applicability4.3Spatial locality4.4Temporal locality4.5Spatial, temporal, and rotational symmetries4.6Predictively useful properties4.7Simplicity4.8Recap5 Conclusion. (shrink)