It has become a standard view in the philosophy of science scholarship (e.g., van Fraassen [1989]) that debates on the problem of laws of nature and/or scientific laws employ pre-Kantian approaches to the subject in question. But what exactly a Kantian approach might look like and, above all, what Kant endorses on this matter are not entirely settled issues. In particular, this regards Kant’s argument on the problem of ’necessity grounding’ with respect to different types of the so-called (...) “empirical laws of nature” (empirische Naturgesetze) in the third Critique. In order to assess the aforementioned problem, in this paper I will address the following questions:1) What is Kant’s main nomological criterion or a combination of criteria, that is, the criterion/criteria according to which we can explicate the distinction between laws of nature and accidentally true statements?2) What exactly is the role of an apriori law of nature, such as the one instantiated by the Second Analogy of Experience, in considering nature as a lawful existence of objects?3) On what grounds can a statement describing a particular causal regularity, for example, the statement “the sun warms the stone” (Prolegomena, N 301), be viewed as an empirical law of nature?4) Is Kant’s systematicity a nomological criterion in the strict and standard sense or, rather, is it a certain kind of transcendental criterion, which not only makes the whole of Kant’s nomological machinery up and running, but also has decisive influence on the final arrangement of nomological criteria? (shrink)

It has become a standard view in the philosophy of science scholarship (e.g., van Fraassen [1989]) that debates on the problem of laws of nature and/or scientific laws employ pre-Kantian approaches to the subject in question. But what exactly a Kantian approach might look like and, above all, what Kant endorses on this matter are not entirely settled issues. In particular, this regards Kant’s argument on the problem of ’necessity grounding’ with respect to different types of the so-called (...) “empirical laws of nature” (empirische Naturgesetze) in the third Critique. In order to assess the aforementioned problem, in this paper I will address the following questions:1) What is Kant’s main nomological criterion or a combination of criteria, that is, the criterion/criteria according to which we can explicate the distinction between laws of nature and accidentally true statements?2) What exactly is the role of an apriori law of nature, such as the one instantiated by the Second Analogy of Experience, in considering nature as a lawful existence of objects?3) On what grounds can a statement describing a particular causal regularity, for example, the statement “the sun warms the stone” (Prolegomena, N 301), be viewed as an empirical law of nature?4) Is Kant’s systematicity a nomological criterion in the strict and standard sense or, rather, is it a certain kind of transcendental criterion, which not only makes the whole of Kant’s nomological machinery up and running, but also has decisive influence on the final arrangement of nomological criteria? (shrink)

The article introduces and defends the Nomological Account of ground, a reductive account of the notion of metaphysical explanation in terms of the laws of metaphysics. The paper presents three desiderata that a theory of ground should meet: it should explain the modal force of ground, the generality of ground, and the interplay between ground and certain mereological notions. The bulk of the paper develops the Nomological Account and argues that it meets the three desiderata. The (...) class='Hi'>Nomological Account relies on two central notions: the notion of a ‘law of metaphysics’ and the notion of ‘determination via the laws’. The paper offers the constructional conception of the laws of metaphysics, on which the metaphysical laws are general principles that characterize construction–operations such as composition, constitution, or set-formation. The role of determination in the account is explained and some reductive approaches to the notion are sketched. The case for the Nomological Account presented in this article is also a case for the laws of metaphysics. Since the Nomological Account offers a promising approach to metaphysical explanation we should take the laws of metaphysics seriously. (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)

Some of the concerns which motivate attempts to provide a philosophical reduction of nomological necessity are briefly introduced in I. In II, Hempel's treatment of the paradoxes is contrasted with a position which holds that nomological necessity is a pragmatic dimension of laws of nature, and that this pragmatic dimension is of such a type that it prevents laws of nature from contraposing. Such a position is, however, untenable unless (i) the sense of 'pragmatics' at issue (...) is specified, and the possibility of pragmatic differences resulting in differences in confirmation is defended, and (ii) a relevant pragmatic difference between contrapositives is indicated. III attempts to satisfy condition (i) by developing a new sense of pure pragmatics and argues that some remarks by Goodman and Scheffler together with work on the logic of explanation by Dr. Rescher and myself suggest that nomological contrapositives are not pragmatically equivalent (i.e. substitutable salva veritate in the pure pragmatics of an ideal scientific language). If such is the case, condition (ii) is also satisfied. (shrink)

Nomological dispositionalism has occupied a center stage in contemporary metaphysics about laws, holding the view that laws of nature derive from an ontology of intrinsically modal dispositional properties. This view faces, though, various challenges, some of which are worth revisiting. Among them, dispositionalism about properties condemns laws to ontological redundancy; its reconstruction of properties does not seem to fit with experimentalism; it introduces a view of metaphysical modality that ambiguously moves between (_de dicto_) logical modality and (...) (_de re_) physical modality; and it assumes fundamentalist meta-metaphysical presuppositions. Rather than dismantling nomological dispositionalism –quite the contrary, we believe it is a valuable theory–, we aim at identifying those nodes where alternative strategies could be followed in a theory of laws. (shrink)

It has been the dominant view that probabilistic explanations of particular facts must be inductive in character. I argue here that this view is mistaken, and that the aim of probabilistic explanation is not to demonstrate that the explanandum fact was nomically expectable, but to give an account of the chance mechanism(s) responsible for it. To this end, a deductive-nomological model of probabilistic explanation is developed and defended. Such a model has application only when the probabilities occurring in covering (...) laws can be interpreted as measures of objective chance, expressing the strength of physical propensities. Unlike inductive models of probabilistic explanation, this deductive model stands in no need of troublesome requirements of maximal specificity or epistemic relativization. (shrink)

Para el realismo nomológico, la mejor explicación del mundo afirma la existencia de leyes naturales que lo fundamentan. Si el estatuto de estas es controvertido, sus partidarios coinciden en que implican una adición de ser con respecto a las regularidades de Hume. Se busca mostrar cómo el argumento nomológico, que todos ellos utilizan de alguna forma, se asemeja en su estructura a diversos argumentos teístas, como el de la quinta vía de Tomás de Aquino. Ante el carácter no conclusivo del (...) argumento, se sostiene que la adopción de un realismo nomológico proviene de una mera preferencia subjetiva. According to nomological realism, the best explanation of the world is one that appeals to the existence of natural laws which ground it. Althought there are controversies regarding the status of such laws, those who defend this position agree they involve a plus of being regarding Hume's regularities. In this paper we show how the nomological argument, which they all use somehow, has a structural similarity with various theistic arguments such as Thomas Aquina's fifth way. Finally, in the absence of conclusiveness of the argument, we hold that the adoption of a nomological realism comes from a mere subjective preference. (shrink)

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 paper explores a deductive-nomological account of metaphysical explanation: some truths metaphysically explain, or ground, another truth just in case the laws of metaphysics determine the latter truth on the basis of the former. I develop and motivate a specific conception of metaphysical laws, on which they are general rules that regulate the existence and features of derivative entities. I propose an analysis of the notion of ‘determination via the laws’, based on a restricted form of (...) logical entailment. I argue that the DN-account of ground can be defended against the well-known objections to the DN-approach to scientific explanation. The goal of the paper is to show that the DN-account of metaphysical explanation is a well-motivated and defensible theory. (shrink)

I propose a deductive-nomological model for mathematical scientific explanation. In this regard, I modify Hempel’s deductive-nomological model and test it against some of the following recent paradigmatic examples of the mathematical explanation of empirical facts: the seven bridges of Königsberg, the North American synchronized cicadas, and Hénon-Heiles Hamiltonian systems. I argue that mathematical scientific explanations that invoke laws of nature are qualitative explanations, and ordinary scientific explanations that employ mathematics are quantitative explanations. I analyse the repercussions of (...) this deductivenomological model on causal explanations. (shrink)

Laws of nature concern the natural properties of things. Newton’s law of gravity states that the gravitational force between objects is proportional to the product of their masses and inversely proportional to the square of their distance; Coulomb’s law states a similar functional dependency between charged particles. Each of these properties confers a power to act as specified by the function of the laws. Consequently, properties of the same quantity confer resembling powers. Any theory that takes powers seriously (...) must account for their resemblance. This is the challenge set by the paper. The first part is devoted to Armstrong’s view according to which property resemblance reduces to partial identities between categorical properties. I argue that Armstrong’s solution to the challenge involves accepting determinable properties but that these should not be admitted. In the second part, I argue that dispositional essentialism can satisfactorily account for orderings among powers in terms of degrees of overlapping potentialities. (shrink)

Dispositional essentialism, a plausible view about the natures of (sparse or natural) properties, yields a satisfying explanation of the nature of laws also. The resulting necessitarian conception of laws comes in a weaker version, which allows differences between possible worlds as regards which laws hold in those worlds and a stronger version that does not. The main aim of this paper is to articulate what is involved in accepting the stronger version, most especially the consequence that all (...) possible properties exist in all worlds. I also suggest that there is no particularly strong reason for preferring the weaker to the stronger version. For example, Armstrong's instantiation condition on universals entails that according to strong necessitarianism every property is instantiated in all possible worlds. But first we do not need to accept Armstrong's instantiation condition, in part because his arguments for it are forceful only for a contingentist about laws and properties. Secondly, even if we do accept the condition, the consequence that all properties are instantiated is not itself contradictory, so long as any form of necessitarianism holds. Strong necessitarianism is prima facie counter-intuitive. But for that matter so is weak necessitarianism. Accepting either weak or strong necessitarianism requires denying the force of intuition in this area. And indeed we have every reason to deny the force of intuition and its primary source, imagination, concerning modal facts. (shrink)

Measurement is said to be the basis of exact sciences as the process of assigning numbers to matter (things or their attributes), thus making it possible to apply the mathematically formulated laws of nature to the empirical world. Mathematics and empiria are best accorded to each other in laboratory experiments which function as what Nancy Cartwright calls nomological machine: an arrangement generating (mathematical) regularities. On the basis of accounts of measurement errors and uncertainties, I will argue for two (...) claims: 1) Both fundamental laws of physics, corresponding to ideal nomological machine, and phenomenological laws, corresponding to material nomological machine, lie, being highly idealised relative to the empirical reality; and also laboratory measurement data do not describe properties inherent to the world independently of human understanding of it. 2) Therefore the naive, representational view of measurement and experimentation should be replaced with a more pragmatic or practice-based view. (shrink)

Laws of nature concern the natural properties of things. Newton’s law of gravity states that the gravitational force between objects is proportional to the product of their masses and inversely proportional to the square of their distance; Coulomb’s law states a similar functional dependency between charged particles. Each of these properties confers a power to act as specified by the function of the laws. Consequently, properties of the same quantity confer resembling powers. Any theory that takes powers seriously (...) must account for their resemblance. This is the challenge set by the paper. The first part is devoted to Armstrong’s view according to which property resemblance reduces to partial identities between categorical properties. I argue that Armstrong’s solution to the challenge involves accepting determinable properties but that these should not be admitted. In the second part, I argue that dispositional essentialism can satisfactorily account for orderings among powers in terms of degrees of overlapping potentialities. (shrink)

In medical diagnostic examination three main stages may be distinguished: (a) initial exploration, (b) hypothesis-directed investigation, and (c) final diagnosis making. The purpose of this work is to study some methodological problems concerning the second of the above stages of the diagnosis and to prepare a background for a mathematical model [30] of this process.In diagnostic problem solving, the reasoning proceeds along the main lines traced by some initial suggestions and passes through various intermediate elements which are connected with one (...) another forming ramifying chains and nets of inferences and hypotheses. Such a complex mental construction is based on laws which form medical knowledge and reflect various regularities and relations, causal, structural, functional, and others. (shrink)

This paper is an attempt to further our understanding of mechanisms conceived of as ontologically separable from laws. What opportunities are there for a mechanistic perspective to be independent of, or even more fundamental than, a law perspective?

The article discusses the position of the Australian philosopher David Armstrong on the problem of the ontological status of the laws of nature. Through a clarification of Armstrong’s understanding of naturalism, physicalism, and factualism, the general essence of his metaphysical project is summarized. Then article presents his theory of the laws of nature, which is a kind of nomological realism: his version of the nomolog­ical argument is examined; his general grounds for rejecting the regularity theories, which is (...) classical for the naturalistic approach, are clarified; and the role of abduction in Arm­strong’s theory is demonstrated. The relation of nomic necessity, which is the key concept of his theory, is discussed in detail: its status as a second-order universal is explained; the terms of this relation, namely the types of states of affairs that constitute some special kind of universals, are distinguished; the essence of the nomic connection assumed by this relation is clarified through Armstrong’s theory of causality. Armstrong’s critique of regularity theories of laws of nature and the advantages of his nomological realism over them are discussed: cases where regularity is not law are considered; cases where there are laws that are not related to regularities, and cases where law and regularity seem to coincide, but there is reason to believe that they are different, these are the cases that appear to be most important. Finally, drawing on his own argumentation, the advan­tages of Armstrong’s theory over the best systems approach are justified: the problem of subjectivism and the threat of anti-realism inherent in coherentist approaches are ex­amined; the highly counterintuitive dependence of the existence of some laws on the ex­istence of others is pointed out; and the danger of actual contradictions within our ontol­ogy is demonstrated. (shrink)

Developing and motivating the notion of supervenience. Investigating the relationship to reducibility and definability (equivalence, under certain conditions), and to microphysical determination.

Anomalous Monism is the view that mental entities are identical with physical entities, but that the vocabulary used to describe, predict and explain mental events is neither definitionally nor nomologically reducible to the vocabulary of physics. The argument for Anomalous Monism rests in part on the claim that every true singular causal statement relating two events is backed by a law that covers those events when those events are appropriately described. This paper attempts to clarify and defend this claim by (...) tracing out some conceptual relations among the concepts of event, law, and object. (shrink)

I argue that one cannot analyze scientific explanations adequately only in terms of logical relations among true propositions, Including natural laws. No pure conditional analysis of causation is possible either. I suggest that any adequate analysis of causation or explanation must bring in other factors such as time ordering or manipulability. David sanford's views are considered at length.

In recent years philosophy of science has seen a resurgence of interest in metaphysical issues, especially those concerning laws, causation,and explanation. Although this book takes only the latter two words for its title, it is also about laws of nature. It is divided into three sections: the first is on causation, the second is on laws, and the third is on explanation: this is entirely appropriate because the debates about them are closely related. Ever since Hume argued (...) that causation is nothing more than regularities, laws have been more respectable than causes in philosophy. Perhaps this is also because science is replete with specially named laws which seem to play a central role in theories and explanations. Yet, as many philosophers have recently pointed out, contrary to Russell’s famous pronouncement that causation is a relic of a bygone age (quoted p. 3 by Psillos), the contemporary special sciences are very much concerned with the identification and investigation of all manner of causal structures. This raises the question of whether the apparent causal powers attributed to kinds in the special sciences are anything over and above a way of talking about the result of the operations of physical laws governing their microconstituents. Hence the logical empiricist’s project of showing how the laws of the special sciences reduce to those of physics. On their view, explanation, and in particular causal explanation, is nothing more than argument using the laws of nature as premises. However, this coveringlaw model of explanation has been subjected to intense criticism, and there have been attempts to construct alternatives that rely on the idea that to explain an event is to cite its real cause, where this cause need not be subsumed under any law. Since the demise of logical empiricism, or at least the waning of its influence, there has been a proliferation of theories about laws, causation and explanation, many of which differ radically from one another. (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)

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

Knowledge of causal laws is expensive and hard to come by. But we work hard to get it because we believe that it will reduce contingency in planning policies and in building new technologies: knowledge of causal laws allows us to predict reliably what the outcomes will be when we manipulate the factors cited as causes in those laws. Or do they? This paper will argue that causal laws have no special role here. As economists from (...) JS Mill to Robert Lucas and David Hendry stress, along recently with philosophers like James Woodward and Sandra Mitchell, they can do the job only if they are invariant under the manipulations proposed. But then, I shall argue, anything that is invariant under the proposed manipulations will do this job equally well. There seems to be nothing special about causal-law knowledge in and of itself that makes it particularly valuable for policy and technology prediction. What seems to matter is invariance alone, not causality. But what guarantees invariance and how do we know when it will obtain? Here certain kinds of causal laws do have a special place – those underwritten either by what I have called ‘nomological machines’ or by what I have called ‘capacities’. Capacities and nomological machines have a double virtue that makes them invaluable for policy planning. First, the causal laws they give rise to will be invariant so long as they obtain; and second, they typically have visible markers we can come to recognize that tell us when they obtain. The markers for nomological machines are shakier than those for capacities, though, since capacities are often tied to markers by well-established empirical laws. Capacities have their own drawback however, which is the final topic of this paper: the causal laws that are guaranteed by a capacity connect the obtaining of a capacity with its exercise. But Hume argued that no distinction can be made between the obtaining of a power and its exercise. (shrink)

Jonathan Schaffer argues against a necessary connection between properties and laws. He takes this to be a question of what possible worlds we ought to countenance in our best theories of modality, counterfactuals, etc. In doing so, he unfairly rigs the game in favor of contingentism. I argue that the necessitarian can resist Schaffer’s conclusion while accepting his key premise that our best theories of modality, counterfactuals, etc. require a very wide range of things called ‘possible worlds’. However, the (...) necessitarian can and should insist that, in many cases, these worlds are not metaphysically possible. I will further argue that, having taken such a stance, the necessitarian has additional resources to respond to Schaffer’s other arguments against the view. (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 (...) class='Hi'>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)

Knowledge of causal laws is expensive and hard to come by. But we work hard to get it because we believe that it will reduce contingency in planning policies and in building new technologies: knowledge of causal laws allows us to predict reliably what the outcomes will be when we manipulate the factors cited as causes in those laws. Or do they? This paper will argue that causal laws have no special role here. As economists from (...) JS Mill to Robert Lucas and David Hendry stress, along recently with philosophers like James Woodward and Sandra Mitchell, they can do the job only if they are invariant under the manipulations proposed. But then, I shall argue, anything that is invariant under the proposed manipulations will do this job equally well. There seems to be nothing special about causal-law knowledge in and of itself that makes it particularly valuable for policy and technology prediction. What seems to matter is invariance alone, not causality. But what guarantees invariance and how do we know when it will obtain? Here certain kinds of causal laws do have a special place – those underwritten either by what I have called ‘nomological machines’ or by what I have called ‘capacities’. Capacities and nomological machines have a double virtue that makes them invaluable for policy planning. First, the causal laws they give rise to will be invariant so long as they obtain; and second, they typically have visible markers we can come to recognize that tell us when they obtain. The markers for nomological machines are shakier than those for capacities, though, since capacities are often tied to markers by well-established empirical laws. Capacities have their own drawback however, which is the final topic of this paper: the causal laws that are guaranteed by a capacity connect the obtaining (or triggering) of a capacity with its exercise. But Hume argued (mistakenly I suggest) that no distinction can be made between the obtaining of a power and its exercise. (shrink)

Anomalous Monism is the view that mental entities are identical with physical entities, but that the vocabulary used to describe, predict and explain mental events is neither definitionally nor nomologically reducible to the vocabulary of physics. The argument for Anomalous Monism rests in part on the claim that every true singular causal statement relating two events is backed by a law that covers those events when those events are appropriately described. This paper attempts to clarify and defend this claim by (...) tracing out some conceptual relations among the concepts of event, law, and object. (shrink)

It is usually supposed that the ‘fundamental’ laws of nature must be general, i.e. must essentially begin with a universal quantifier. Other ‘derivative’ laws may not satisfy this requirement but only because they are the logical or mathematical consequences of a set of fundamental laws. As it stands, this requirement is either too strong or trivial. Consider the Newtonian gravitational law: where FG is the impressed gravitational force on x due to y at t, ms is the (...) mass of x, d is the displacement of the center of mass of x from the center of mass of y at t, and G is the universal gravitational constant.. What is the role of the constant “G”? Reflection shows that it is actually a disguised existential quantifier, or, more precisely, a Skolem function replacement for one. Rendering Newtonian mechanics in a parsimonious language, we could drop the “G” and rewrite as The constant “G” could then be defined, if desired, as the unique r satisfying ). Such a theory would have exactly the same deductive consequences as. But has an initial existential quantifier essentially. (shrink)

This chapter explores some issues having to do with the structure of the evidential reasoning we use to infer causal and lawful claims. It is argued that such reasoning always makes use of prior, causally, or nomologically committed information, thus undercutting various views that attempt to reduce causal and lawful claims to claims about regularities. A non-reductive account of laws and causes built around the notion of invariance is advanced as an alternative.

This chapter contains sections titled: A Systematic Look at Laws in History and Nature The History of the “Laws of History” Current Problems and Debates in History and Neighboring Disciplines References Further Reading.

The nomic view of dispositions holds that properties confer dispositions on their bearers with nomological necessity. The argument against nomic dispositions challenges the nomic view: if the nomic view is true, then objects don't have dispositions, but 'mimic' them. This paper presents an explication of disposition conferral which shows that the nomic view is not vulnerable to this objection.

This paper is concerned with the question of the truth conditions of nomological statements. My fundamental thesis is that it is possible to set out an acceptable, noncircular account of the truth conditions of laws and nomological statements if and only if relations among universals - that is, among properties and relations, construed realistically - are taken as the truth-makers for such statements. My discussion will be restricted to strictly universal, nonstatistical laws. The reason for this (...) limitation is not that I feel there is anything dubious about the concept of a statistical law, nor that I feel that basic laws cannot be statistical. The reason is methodological. The case of strictly universal, nonstatistical laws would seem to be the simplest case. If the problem of the truth conditions of laws can be solved for this simple subcase, one can then investigate whether the solution can be extended to the more complex cases. I believe that the solution I propose here does have that property, though I shall not pursue that question here.1. (shrink)

Call an explanation in which a non-mathematical fact is explained—in part or in whole—by mathematical facts: an extra-mathematical explanation. Such explanations have attracted a great deal of interest recently in arguments over mathematical realism. In this article, a theory of extra-mathematical explanation is developed. The theory is modelled on a deductive-nomological theory of scientific explanation. A basic DN account of extra-mathematical explanation is proposed and then redeveloped in the light of two difficulties that the basic theory faces. The final (...) view appeals to relevance logic and uses resources in information theory to understand the explanatory relationship between mathematical and physical facts. 1Introduction2Anchoring3The Basic Deductive-Mathematical Account4The Genuineness Problem5Irrelevance6Relevance and Information7Objections and Replies 7.1Against relevance logic7.2Too epistemic7.3Informational containment8Conclusion. (shrink)

Vi sono varie forme di impossibilità normativa. Una prima forma si incontra quando un fatto naturale al quale il diritto attribuisce un significato normativo è impossibile. Una seconda consiste nell’impossibilità di un atto o fatto la quale derivi dalla presenza o assenza di una norma. Vi è poi una terza forma di impossibilità normativa che si incontra quando si afferma che da una certa realtà oggetto di normazione derivano necessariamente limiti all’attività di normazione stessa. Di una quarta forma si può (...) parlare quando ci si riferisce a un’impossibilità derivante dalle specifiche relazioni che intercorrono tra norme di un sistema normativo dinamico. Le forme di impossibilità normativa sono indagate, nei contributi raccolti in questo volume, da diverse angolazioni: la filosofia del diritto, la filosofia morale, la logica, la filosofia della conoscenza, la scienza del diritto penale. (shrink)

I develop a metaphysical position that is both lawless and anti-Humean. The position is called realist lawlessness and contrasts with both Humean lawlessness and nomological realism – the claim that there are laws in nature. While the Humean view also allows no laws, realist lawlessness is not Humean because it accepts some necessary connections in nature between distinct properties. Realism about laws, on the other hand, faces a central dilemma. Either laws govern the behaviour of (...) properties from the outside or from the inside. If the former, an unacceptable quidditist view of properties follows. But no plausible account of laws within properties can be developed that permits a governing role specifically for laws. I conclude in favour of eliminativism about laws. At the conceptual core, the notion of a law in nature is misleading. It is suggestive of an otherwise static world in need of animation. (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 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)

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)

Pursuing an analogy with the natural sciences, Lee McIntyre, in this first full-length defense of social scientific laws to appear in the last twenty years, upholds the prospect of the nomological explanation of human behavior against those who maintain that this approach is impossible, impractical, or irrelevant.

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)

In this paper I review three different positions on the wave function, namely: nomological realism, dispositionalism, and configuration space realism by regarding as essential their capacity to account for the world of our experience. I conclude that the first two positions are committed to regard the wave function as an abstract entity. The third position will be shown to be a merely speculative attempt to derive a primitive ontology from a reified mathematical space. Without entering any discussion about nominalism, (...) I conclude that an elimination of abstract entities from one’s ontology commits one to instrumentalism about the wave function, a position that therefore is not as unmotivated as it has seemed to be to many philosophers. (shrink)

In this paper the claim that laws of nature are to be understood as claims about what necessarily or reliably happens is disputed. Laws can characterize what happens in a reliable way, but they do not do this easily. We do not have laws for everything occurring in the world, but only for those situations where what happens in nature is represented by a model: models are blueprints for nomological machines, which in turn give rise to (...) laws. An example from economics shows, in particular, how we use--and how we need to use--models to get probabilistic laws. (shrink)

According to the deductive-nomological account of ground, a fact A grounds another fact B in case the laws of metaphysics determine the existence of B on the basis of the existence of A. Accounts of grounding of this particular variety have already been developed in the literature. My aim in this paper is to sketch a new version of this account. My preferred account offers two main improvements over existing accounts. First, the present account is able to deal (...) with necessitarian as well as non-necessitarian cases of grounding by acknowledging the existence of two types of metaphysical laws. I will argue that we should assume that metaphysical laws come in the necessitarian as well as in the non-necessitarian varietyclosely paralleling the distinction between strict and non-strict laws in the philosophy of science. The second main improvement of the present account is that this account is able to provide an explanation of why the laws of metaphysics have a direction built into them. I will argue that we should characterize metaphysical laws with the help of Theodore Sider’s (2011) notion of structure, which is a descendent of David Lewis’s (1983) notion of naturalness. According to the account of metaphysical laws developed in this paper, metaphysical laws express in their antecedents either perfectly structural truths or more structural truths than in their consequents. Since on Sider’s account structural features of reality are fundamental features of reality, the account is able to explain as to why the laws of metaphysics take us from the fundamental to the derivative. (shrink)

In a 2008 paper, Walmsley argued that the explanations employed in the dynamical approach to cognitive science, as exemplified by the Haken, Kelso and Bunz model of rhythmic finger movement, and the model of infant preservative reaching developed by Esther Thelen and her colleagues, conform to Carl Hempel and Paul Oppenheim’s deductive-nomological model of explanation (also known as the covering law model). Although we think Walmsley’s approach is methodologically sound in that it starts with an analysis of scientific practice (...) rather than a general philosophical framework, we nevertheless feel that there are two problems with his paper. First, he focuses only on the deductivenomological model and so neglects the important fact that explanations are causal. Second, the explanations offered by the dynamical approach do not take the deductive-nomological format, because they do not deduce the explananda from exceptionless laws. Because of these two points, Walmsley makes the dynamical explanations in cognitive science appear problematic, while in fact they are not. (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)

This is a collection of articles which represents current research on the metaphysics of causation and laws of nature, mostly by authors working in or active in the Australasian region. The book provides an overview of current work on the theory of causation, including counterfactual, singularist, nomological and causal process approaches. It also covers work on the nature of laws of nature, with special emphasis on the scientific essentialist theory that laws of nature are, at base, (...) the fundamental dispositions or capacities of natural kinds of things. Because the book represents a good cross-section of authors currently working on these themes in the Australasian region, it conveys something of the interest and excitement of an active philosophical debate between advocates of several different research programmes in the area. (shrink)

Today, mechanisms and mechanistic explanation are very popular in philosophy of science and are deemed a welcome alternative to laws of nature and deductive‐nomological explanation. Starting from Mitchell's pragmatic notion of laws, I cast doubt on their status as a genuine alternative. I argue that (1) all complex‐systems mechanisms ontologically must rely on stable regularities, while (2) the reverse need not hold. Analogously, (3) models of mechanisms must incorporate pragmatic laws, while (4) such laws themselves (...) need not always refer to underlying mechanisms. Finally, I show that Mitchell's account is more encompassing than the mechanistic account *Received August 2008; revised January 2010. †To contact the author, please write to: Centre for Logic and Philosophy of Science, Ghent University, Blandijnberg 2, B‐9000 Belgium; e‐mail: [email protected]. (shrink)