This is a study of a crucial and controversial topic in metaphysics and the philosophy of science: the status of the laws of nature. D. M. Armstrong works out clearly and in comprehensive detail a largely original view that laws are relations between properties or universals. The theory is continuous with the views on universals and more generally with the scientific realism that Professor Armstrong has advanced in earlier publications. He begins here by mounting an attack on the orthodox and (...) sceptical view deriving from Hume that laws assert no more than a regularity of coincidence between instances of properties. In doing so he presents what may become the definitive statement of the case against this position. Professor Armstrong then goes on to establish his own theory in a systematic manner defending it against the most likely objections, and extending both it and the related theory of universals to cover functional and statistical laws. This treatment of the subject is refreshingly concise and vivid: it will both stimulate vigorous professional debate and make an excellent student text. (shrink)

In this paper I examine and question Marc Lange’s account of laws, and his claim that the law delineating the range of natural kinds of fundamental particle has a lesser grade of necessity that the laws connecting the fundamental properties of those kinds with their derived properties.

I show that Armstrong’s view of laws as second-order contingent relations of ‘necessitation’ among categorical properties faces a dilemma. The necessitation relation confers a relation of extensional inclusion (‘constant conjunction’) on its relata. It does so either necessarily or contingently. If necessarily, it is not a categorical relation (in the relevant sense). If contingently, then an explanation is required of how it confers extensional inclusion. That explanation will need to appeal to a third-order relation between necessitation and extensional inclusion. The (...) same dilemma reappears at this level. Either Armstrong must concede that some properties are not categorical but have essential powers – or he is faced with a regress. (shrink)

Armstrong holds that a law of nature is a certain sort of structural universal which, in turn, fixes causal relations between particular states of affairs. His claim that these nomic structural universals explain causal relations commits him to saying that such universals are irreducible, not supervenient upon the particular causal relations they fix. However, Armstrong also wants to avoid Plato’s view that a universal can exist without being instantiated, a view which he regards as incompatible with naturalism. This construal of (...) naturalism forces Armstrong to say that universals are abstractions from a certain class of particulars; they are abstractions from first-order states of affairs, to be more precise. It is here argued that these two tendencies in Armstrong cannot be reconciled: To say that universals are abstractions from first-order states of affairs is not compatible with saying that universals fix causal relations between particulars. Causal relations are themselves states of affairs of a sort, and Armstrong’s claim that a law is a kind of structural universal is best understood as the view that any given law logically supervenes on its corresponding causal relations. The result is an inconsistency, Armstrong having to say that laws do not supervene on particular causal relations while also being committed to the view that they do so supervene. The inconsistency is perhaps best resolved by denying that universals are abstractions from states of affairs. (shrink)

It is a traditional empiricist doctrine that natural laws are universal truths. In order to overcome the obvious difficulties with this equation most empiricists qualify it by proposing to equate laws with universal truths that play a certain role, or have a certain function, within the larger scientific enterprise. This view is examined in detail and rejected; it fails to account for a variety of features that laws are acknowledged to have. An alternative view is advanced in which laws are (...) expressed by singular statements of fact describing the relationship between universal properties and magnitudes. (shrink)

D. M. Armstrong has objected that the Dispositionalist theory of laws and properties is modally inverted, for it entails that properties are constituted by relations to non-actual possibilia. I contend that, if this objection succeeds against Dispositionalism, then Armstrong's nomic necessitation relation is also modally inverted. This shows that at least one of Armstrong's reasons for preferring a nomic necessitation theory is specious.

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

The paper considers recent proposals by Armstrong, Dretske, and Tooley that revive the view that statements of laws of nature are grounded by the existence of higher order facts relating universals. Several objections to such a view are raised and an alternative analysis, recognizing general facts, is considered. Such an alternative is shown to meet a number of the objections raised against the appeal to higher order facts and it is also related to views of Hume and Wittgenstein. Further objections (...) are then raised to all the non-Humean "realist" attempts to provide special facts to ground the laws of nature. (shrink)

In the first part of this paper, I argue against the view that laws of nature are contingent, by attacking a necessary condition for its truth within the framework of a conception of laws as relations between universals. I try to show that there is no independent reason to think that universals have an essence independent of their nomological properties. However, such a non-qualitative essence is required to make sense of the idea that different laws link the same universals in (...) different possible worlds. In the second part, I give a positive argument for the necessity of at least some laws of nature, by showing with the example of a paradigmatic law of association that it consists in an internal relation between two universals which are determinables of the same class of determinates, where this relation is essential to both. Furthermore, I show that the necessity of laws of association could be accommodated within David Lewis' Humean metaphysics, but that it is incompatible with David Armstrong's combinatorialism. (shrink)

In What is a Law of Nature? (1983) David Armstrong promotes a theory of laws according to which laws of nature are contingent relations of necessitation between universals. The metaphysics Armstrong develops uses deterministic causal laws as paradigmatic cases of laws, but he thinks his metaphysics explicates other sorts of laws too, including probabilistic laws, like that of the half-life of radium being 1602 years. Bas van Fraassen (1987) gives seven arguments for why Armstrong’s theory of laws is incapable of (...) explicating probabilistic laws. The main thrust of the arguments is that Armstrong’s metaphysical apparatus serves to drive up the initial probability values stated by probabilistic laws. Armstrong replies .. (shrink)

Abstract The paper develops a unified account of both deterministic and indeterministic laws of nature which inherits the merits but not the defects of the best existing accounts. As in Armstrong's account, laws are embodied in facts about universals; but not in higher?order relations between them, and the necessity of laws is not primitive but results from their containing chances of 0 or 1. As in the Ramsey?Lewis account, law statements would be the general axioms and theorems of the simplest (...) deductive theory of everything; but because laws are not so defined, simplicity of statement is not a criterion of law?hood. (shrink)

In this article I intend to show that the inference problem, one of the main objections raised against the anti-Humean theory of natural laws defended by Dretske, Tooley and Armstrong ("DTA theory" for short), can be successfully answered. First, I argue that a proper solution should meet two essential requirements that the proposals made by the DTA theorists do not satisfy. Then I state a solution to the inference problem that assumes a local immanentistic view of universals, a partial definition (...) of the nomic necessitation relation as a relation of existential dependence, and a principle constraining multiple occupancy. I also argue that my solution meets the two requirements. Finally, I deal with non-standard laws such as exclusion laws, causal laws and laws involving spatiotemporal parameters. (shrink)

A recombinationist like the earlier Armstrong (1989) claims that logically possible worlds are recombinations of items found in the actual world, with some items reduplicated if need be and others deleted. An immediate consequence of this is that if an..

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 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 (Barry Loewer), I draw some non-standard conclusions about the significance of the thought experiments to the lawhood debate. (shrink)

Armstrong's combinatorialism, in his own words, is the following project: "My central metaphysical hypothesis is that all there is is the world of space and time. It is this world which is to supply the actual elements for the totality of combinations. So what is proposed is a Naturalistic form of a combinatorial theory."2 Armstrong calls his central hypothesis "Naturalism." He intends his well−known theory of universals to satisfy this thesis. He now attempts to give a naturalistic theory of modality.

Since causal processes can be prevented and interfered with, law-governed causation is a challenge for necessitarian theories of laws of nature. To show that there is a problematic friction between necessity and interference, I focus on David Armstrong's theory; with one proviso, his lawmaker, nomological necessity, is supposed to be instantiated as the causation of the law's second relatum whenever its first relatum is instantiated. His proviso is supposed to handle interference cases, but fails to do so. In order to (...) be able to handle interferences, any theory which utilizes a kind of necessitation as lawmaker has to downgrade what it treats as necessity to something more akin to (Newtonian) forces. (shrink)

The striking difference between the orthodox nomological necessitation view of laws and the claims made recently by Scientific Essentialism is that on the latter interpretation laws are metaphysically necessary while they are contingent on the basis of the former. This shift is usually perceived as an upgrading: essentialism makes the laws as robust as possible. The aim of my paper—in which I contrast Brian Ellis’s Scientific Essentialism and David Armstrong’s theory of nomological necessity—is threefold. (1) I first underline the familiar (...) fact that metaphysical necessity (of Kripkean “water is necessarily H2O” kind) is not a stronger kind of necessity than nomological necessity but an entirely different kind of thing: nomological, but not metaphysical necessity, is an intra-world necessitation which Armstrong (almost) identifies with causation; metaphysical, but not nomological necessitation, has a canonical link to possible world considerations and counterfactual reasoning. Hence, the change from one necessity to the other is not an upgrading but a substantial shift. (2) I will explain how the essentialists, who promote this shift, are nonetheless able to retain the features of nomological necessity. (3) I also explore, for both the essentialist and the Armstrongian, whether they could extract a modal force from intra-world nomological necessity which it does not have per se. I argue that such a modal force is, indeed, obtainable for them. I will close the paper with some remarks and questions about the relation between Kripkean metaphysical necessity and the modal version of nomological necessity as defined in (3). (shrink)

In response to various shortcomings of regularity theories of natural law, some philosophers of a realist bent have recently been drawn to the view that a law of nature is a relation between universals. Heading this group are Michael Tooley and D. M. Armstrong.

This book is written by someone who holds that physics and the metaphysics of cause and law broadly strive to achieve a common goal: to undstand what our physical system is constituted by, and both how, and why it evolves in the way that it does. It seems to me that the primary tools of the scientist are empirical evidence, mathematics, and although this is perhaps less appreciated, imagination - these are fundamental to any great scientific breakthrough. For us, the (...) metaphysicians, imagination, science, and a priori reasoning form the foundation of our enquiries. I believe that for the metaphysician, reasoning without due consideration of science will inevitably lead to unjustified, and probably false conclusions. In this thesis I provide an analysis of a number of metaphysics of cause and law, as well as a conceptual analysis of both, to show how closely a consistent account of causation must be linked with laws of nature. I then attempt to give metaphysics explanations of our best scientific theories(in particular, least action principles and the general theory of relativity) in terms of the metaphysical views discussed, in order to judge their compatibility with science. I conclude that any successful metaphysic will be a broadly Humean one. (shrink)

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

Armstrong's theory of laws of nature as relations between universals gives an initially plausible account of why the causal powers of substances are bound together only in certain ways, so that the world is a very regular place. But its resulting theory of causation cannot account for intentional causation, since this involves an agent trying to do something, and trying is causing. This kind of causation is thus a state of an agent and does not involve the operation of a (...) law. It is simpler to suppose that non-intentional causing is also causing by substances (and not events) in virtue of their powers to act. That raises again the question of why their powers are bound together only in certain ways. The most probable answer is that God, the simplest kind of person there could be, brings this about because it is necessary for the existence of finite rational creatures such as ourselves. (shrink)

I analyze different accounts of laws of nature: the Hume-Lewis regularity account, the Armstrong-Tooley relations between universals account, and my preferred account in terms of the powers and liabilities of individual substances. On any account it is most unlikely a priori that a universe would be governed by simple laws of nature. But if there is a God, it is quite probable that he will choose to create free agents of limited power, and to put them in a universe governed (...) by simple laws of nature, in order that their purposes may have their intended effects. Hence, the operation of simple laws of nature confirms the existence of God. (shrink)

That laws of nature play a vital role in explanation, prediction, and inductive inference is far clearer than the nature of the laws themselves. My hope here is to shed some light on the nature of natural laws by developing and defending the view that they involve genuine relations between properties. Such a position is suggested by Plato, and more recent versions have been sketched by several writers.~ But I am not happy with any of these accounts, not so much (...) because they lack detail or engender minor difficulties, though they do, but because they share a quite fundamental defect. My goal here is to make this defect clear and, more importantly, to present a rather different version of this general conception of laws that avoids it. I begin by considering several features of natural laws and argue that these are best explained by the view that laws involve properties, that this involvement takes the form of a genuine relation between properties, and, finally, that the relation is a metaphysically necessary one. In the second section I start at the other end, and by reflecting on the nature of properties arrive at a similar account of natural laws. In the final section I develop this account in more detail, with emphasis on the nature of the relation between properties it invokes. Along the way several natural objections to the account are answered. (shrink)

D. M. Armstrong, Michael Tooley, and Fred Dretske have recently proposed a new realist account of laws of nature, according to which laws of nature are objective relations between universals. After criticizing this account, I develop an alternative realist account, according to which (1) the nomic structure of a world is a relation between initial world-histories and world-histories, and (2) a law of nature is a fact that holds solely in virtue of nomic structure (and not, for example, in virtue (...) of past history). (shrink)

This paper explores the idea that laws express relationships between properties or universals as defended in Michael Tooley's recent book Causation: A Realist Approach. I suggest that the most plausible version of realism will take a different form than that advocated by Tooley. According to this alternative, laws are grounded in facts about the capacities and powers of particular systems, rather than facts about relations between universals. The notion of lawfulness is linked to the notion of invariance, rather than to (...) the metaphysical notion of a necessary connection. (shrink)