Nomological Necessity

While the inference problem is widely thought to be one of the most serious problems facing non-Humean accounts of laws, Jonathan Schaffer has argued that a primitivist response straightforwardly dissolves the problem. On this basis, he claims that the inference problem is really a pseudo-problem. Here I clarify the prospects of a primitivist response to the inference problem and their implications for the philosophical significance of the problem. I argue both that it is a substantial question whether this sort of (...) response ought to be accepted and that the inference problem, contra Schaffer, remains a significant problem with important implications for the non-Humean position. I also argue that this discussion indicates grounds to be wary about applying the Schaffer-style strategy of straightforwardly dissolving problems by stipulation to other philosophical problems. (shrink)

Two related claims have lately garnered currency: dispositional essentialism—the view that some or all properties, or some or all fundamental properties, are essentially dispositional; and the claim that laws of nature (or again, many or the fundamental ones) are metaphysically necessary. I have argued elsewhere (On the metaphysical contingency of laws of nature, Oxford University Press, Oxford, 2002) that the laws of nature do not have a mind-independent metaphysical necessity, but recent developments on dispositions have given these ideas a new (...) vibrancy and made them the topic of more focused discussion. So I would like to revisit this, arguing that the new work, as interesting and important as it is to our understanding of fundamental properties, powers and dispositions, should not change our minds about metaphysical necessity. One should still think necessity is conceptually or conventionally grounded. I do not argue that laws of nature are not necessary, nor that properties do not have dispositional essences, but only that if these are the case, then, like other de re or empirical necessities, they have no metaphysical weight and are based in our rules or decisions about how to talk about the world. We may have excellent reasons to talk and think in this way—but these reasons do not include, require or provide evidence of mind-independent metaphysical necessity or essences. (shrink)

According to the grounding theory of powers, fundamental physical properties should be thought of as qualities that ground dispositions. Although this view has recently been defended by many different philosophers, there is no consensus for how the view should be developed within a broader metaphysics of properties. Recently, Tugby has argued that the view should be developed in the context of a Platonic theory of properties, where properties are abstract universals. I will argue that the view should not be developed (...) within such a framework. Either the view should be developed with an ontology of Aristotelian properties, or it should be developed in a Nominalist framework that contains no properties at all. (shrink)

Properties have an important role in specifying different views on laws of nature: virtually any position on laws will make some reference to properties, and some of the leading views even reduce laws to properties. This chapter will first outline what laws of nature are typically taken to be and then specify their connection to properties in more detail. We then move on to consider three different accounts of properties: natural, essential, and dispositional properties, and we shall see that different (...) conceptions of properties also result in different views of the modal status of laws, such as the question of whether laws are metaphysically necessary or contingent. Finally, there are also important links specifically between properties, natural kinds, and laws of nature that deserve our attention. (shrink)

This dissertation is a study of John Buridan's (c.1300-c.1361) conception of modalities. Modal concepts - concepts of necessity, possibility, impossibility, and contingency - describe the ways in which things could and could not be otherwise. These concepts became notoriously central for philosophical discourse in the late Middle Ages. In recent years, Buridan's philosophy and modal theory have received sophisticated scholarly attention. The main contribution of the dissertation is to show new ways in which Buridan's modal theory is embedded in its (...) contextual practical aims, as providing methods for argumentation schemes and analysis used in his natural philosophy and metaphysics. The dissertation is divided into two parts. In Part I, I conduct a detailed analysis of Buridan's account of varieties of modality in logical contexts. In Chapter 2, I show that Buridan distinguishes between broad and restricted forms of necessity in his treatment of logical consequence. Moreover, I show how the distinction between these forms of necessity underpins his modal syllogistics. I argue in Chapter 3 that Buridan acknowledged a variety of modal concepts that are distinguished as a matter of degree. I identify the main modal concepts Buridan's theory reckons with, show how he motivates the distinctions among them, and clarify how they are logically related. Part II turns to applications of Buridan's modal analyses to natural philosophy. In Chapter 4, I address the relationship between necessity with sempiternal truth in Buridan's commentary on Aristotle's De Caelo and compare Buridan's treatment of a key passage in that commentary with the treatment by John of Jandun (c. 1285-1328), a near-contemporary master of arts at Paris. Chapter 5 focuses on Buridan's account of the relationship between power-based concepts of modality and his modal semantics. Chapter 6 describes Buridan's account of contingency in the Physics, and sets Buridan's account of the relationship between forms of contingency and chance against the background of a received debate between Avicenna's and Averroes' views on the subject. Finally, in Chapter 7, I analyse some important applications of Buridan's distinction between logical and metaphysical possibility in physical contexts. I conclude this section by showing how Buridan considered merely conceivable possibilities useful in natural philosophy, and draw further conclusions for investigating the connections between logic and natural philosophy in the later Middle Ages. (shrink)

Humean accounts of laws are often contrasted with governing accounts, and recent developments have added pragmatic versions of Humeanism. This paper offers Mitchell's pragmatist, perspectival account of laws as a third option. The differences between these accounts come down to the role of modality. Mitchell's bottom-up account allows for subtle gradations of modal content to be conveyed by laws. The perspectival character of laws is not an accident or something to be eventually eliminated - it is part of how this (...) modal content is conveyed. I conclude with a discussion of the metaphysical commitments in Humeanism as requiring a perspectiveless view of the manifold from outside, and how Mitchell's situated account is better able to account for the substantive notion of possibility involved in scientific laws. (shrink)

Much has been written on Newton’s concept of matter, as well as Newton’s laws. Meanwhile, the metaphysical and epistemological relationships between these two principal features of Newtonian philosophy are relatively unexplored. Among the existing accounts of the relationship between bodies and laws, two are especially compelling: the “law-constitutive” approach from Katherine Brading and the “formal-cause” approach from Zvi Biener and Eric Schliesser. Both accounts argue that Newton’s bodies are (at least partially) metaphysically dependent on the laws. That is, according to (...) Brading, Biener, and Schliesser, Newtonian laws are ontologically prior to the bodies they govern. In this article, I reply to Brading, Biener, and Schliesser. I develop negative arguments against their approaches by closely examining three features of Newton’s ontology—forms, particles, and active principles—and their relationship to the laws. I also offer an explanation as to why “law-first” approaches have (understandably) dominated recent Newtonian exegesis. Finally, I present a positive argument for what I believe to be a superior alternative: Newton’s law-first approach is purely pragmatic. It is a feature of his experimental philosophy that we should begin our inquiry into the metaphysical constituents of the universe with the laws that arise from them. This does not entail, however, that Newton views laws as constituting or forming physical bodies. Newton’s metaphysics should be interpreted as “matter-first,” with bodies giving rise to laws, whereas his epistemology should be interpreted as “law-first,” with knowledge of laws giving rise to knowledge of bodies. (shrink)

On a highly influential way to think of modality, that I call ‘relationalism’, the modality of a state is explained by its being composed of properties, and these properties being related by a higher-order and primitively modal relation. Examples of relationalism are the Dretske-Tooley-Armstrong account of natural necessity, many dispositional essentialist views, and Wang’s incompatibility primitivism. I argue that relationalism faces four difficulties: that the selection between modal relations is arbitrary, that the modal relation cannot belong to any logical order, (...) that to explain how the modal relation can relate properties of different adicities additional ideological complexity has to be introduced, and that not all modal constraints are relational. From the discussion, I will extract desiderata for a successor theory of modality. (shrink)

This article analyses a sceptical challenge resulting from metaphysical approaches to the problem of the necessity of empirical laws of nature in Kant’s critical philosophy (what I shall call ‘essentialist’ readings). I argue that this challenge may jeopardize the purpose of empirical enquiry (and therefore the plausibility of essentialist readings), but that Kant has internal resources to address it in the Dialectic of the Critique of Pure Reason. I show that reading this problem through the lens of the Dialectic allows (...) us to reconcile the metaphysical question of necessitation of laws with a robust sense of empirical cognition. (shrink)

This essay considers Kant’s theory of modality in light of a debate in contemporary modal metaphysics and modal logic concerning the Barcan formulas. The comparison provides a new and fruitful perspective on Kant’s complex and sometimes confusing claims about possibility and necessity. Two central Kantian principles provide the starting point for the comparison: that the possible must be grounded in the actual and that existence is not a real predicate. Both are shown to be intimately connected to the Barcan formulas, (...) and Kant’s views on what he distinguishes as three different kinds of modality are then considered in light of this connection. (shrink)

Are properties perfectly natural (or not) relative to worlds, or are they perfectly natural (or not) tout court? That is, could there be a property P that is instanti-ated at worlds w1 and w2, and is perfectly natural at w1 but not at w2? Here, we offer an original argument for the non-world-relativity of perfect naturalness. Along the way, we reply to a prima facie compelling argument for the contin-gency of perfect naturalness, based upon the connection between natural prop-erties and (...) laws of nature. (shrink)

One implication of Vetter's theory of modality is that necessity and possibility are regarded as unitary natural kinds. In this paper, I argue that from the perspective of the philosophy of causation, there are good reasons to distinguish between different kinds of necessity: causal necessity, which is nomologically necessary, and non-causal necessity, which is metaphysically necessary. One challenge for Vetter's approach is to explain this distinction.

ABOUT WEAK AND STRONG EMPIRICAL NECCESSITY. CATEGORICAL, DISPOSITIONAL PROPERTIES AND LAWS OF NATURE Pohľady na empirickú nevyhnutnosť možno rozdeliť do dvoch skupín: teórie slabej nevyhnutnosti a teórie silnej nevyhnutnosti. Do prvej teórie patria koncepcie, ktoré uvažujú svet zložený z pasívnych vlastností, akými sú kategorické vlastnosti. Za zmeny vo svete sú zodpovedné zákony prírody, ktoré sa od možného sveta k svetu líšia, a preto aj prejavy týchto vlastností sú odlišné. Druhú teóriu, teóriu silnej nevyhnutnosti, zastávajú filozofi, ktorí predpokladajú existenciu silovo aktívnych (...) vlastností, dispozícií. Práve tieto sú zodpovedné za zmeny vo svete, a vo všetkých možných svetoch sa prejavujú nevyhnutne rovnako. Autor argumentuje v prospech existencie dispozičných vlastností a tvrdí, že dispozičný výklad sveta netrpí modálnymi absurdnosťami, ktorými trpia teórie slabej nevyhnutnosti. Hoci aj dispozičné teórie majú svoje problémy a hlavne mysterióznosti, ktoré môžu viesť až do metafyziky dispozičných monád. Kľúčové slová: dispozičné vlastnosti, kategorické vlastnosti, modality, nevyhnutnosť, zákony prírody. (shrink)

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

This paper is on Descartes’ account of modality and, in particular, his account of the necessity of the laws of nature. He famously argues that the necessity of the “eternal truths” of logic and mathematics depends on God’s will. Here I suggest he has the same view about the necessity of the laws of nature. Further, I argue, this is a plausible theory of laws. For philosophers often talk about something being nomologically or physically necessary because of the laws of (...) nature, but this necessity is thought to be metaphysically contingent. However, they struggle to explain how the laws could be genuinely necessary while being metaphysically contingent. The chief advantage of Descartes view, I argue, is that God’s will can plausibly explain both the necessity of the laws and the contingency of the laws. So, Descartes’ theistic account of laws provides a plausible explanation, perhaps the best explanation, of the contingent-necessity of laws of nature. (shrink)

In her ‘Causality and Determination’, Anscombe argues for the strong thesis that despite centuries of philosophical assumption to the contrary, the supposition that causality and necessity have something essential to do with one another is baseless. In this paper, I assess Anscombe’s arguments and endorse her conclusion. I then attempt to argue that her arguments remain highly relevant today, despite the fact that most popular general views of causation today are firmly probabilistic in orientation and thus show no trace of (...) the assumptions Anscombe hoped to undermine. My suggestion is that Anscombe's interests in causality are distinct from those which mostly animate the modern debate about the general nature of causality and that in those specialized areas of philosophy in which those concerns still dominate, one can still see the effects of the fallacies and confusions to which she alerts us. I conclude by offering two possible complementary explanations of the tendency to suppose that causation is a variety of necessitation. (shrink)

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

To borrow a phrase from Galileo: What does it mean that the story of the creation is "written in the language of mathematics?" This book is an attempt to understand the natural world, its consistency, and the ontology of what we call laws of nature, with a special focus on their mathematical expression. It does this by arguing in favor of the Essentialist interpretation over that of the Humean and Anti-Humean accounts. It re-examines and critiques Descartes' notion of laws of (...) nature following from God's activity in the world as mover of extended bodies, as well as Hume's arguments against causality and induction. It then presents an Aristotelian-Thomistic account of laws of nature based on mathematical abstraction, necessity, and teleology, finally offering a definition for laws of nature within this framework. (shrink)

To differentiate between the laws of nature and accidental generalizations, we must adopt a view of necessity that is capable of being realized in relationships existing among natural objects. In neo-Sadraian Islamic philosophy, metaphysical necessity is accepted as part of the cause-effect relationship. This paper compares the neo-Sadraian interpretation of necessity and necessitarian theories about the laws of nature, particularly essentialism and universal theory. By resorting to specific forms al-shûrat al-naw’iyyah, the origin of the essential properties of natural objects, I (...) argue that neo-Sadraians have proposed a perspective on metaphysical necessity that is epistemologically a posteriori. (shrink)

Discussions about the nature of essence and about the inference problem for non-Humean theories of nomic modality have largely proceeded independently of each other. In this article I argue that the right conclusions to draw about the inference problem actually depend significantly on how best to understand the nature of essence. In particular, I argue that this conclusion holds for the version of the inference problem developed and defended by Alexander Bird. I argue that Bird’s own argument that this problem (...) is fatal for David Armstrong’s influential theory of the laws of nature but not for dispositional essentialism is seriously flawed. In place of this argument, I develop an argument that whether Bird’s inference problem raises serious difficulties for Armstrong’s theory depends on the answers to substantial questions about how best to understand essence. The key consequence is that considerations about the nature of essence have significant, underappreciated implications for Armstrong’s theory. (shrink)

Three different views have been put forward on the contemporary debate of laws of nature. The first of these is the regularity theory, which argues that the laws of nature do not imply any necessity and they are merely regularities that we observe. The second one, nomic necessity theory, by criticizing regularity theory defends that there is a nomic necessity in the laws of nature, and they have an ontological basis beyond regularity, and even so, the laws of nature are (...) contingent. Third and the last view is dispositional essentialism. It defends that the necessity we observe in the laws of nature is based on essential dispositional properties of objects. In this study, we will describe these theories and discuss their arguments and weaknesses. Accordingly, we will state that; regularity theory has difficulties in distinguishing accidents from laws, and nomic necessity theory has problems in establishing the necessity of laws of nature and revealing the nature of particular-universal relation. Eventually, we will state that dispositional essentialism is still the strongest position among the three views and the minkish-finkish and antidote statuses -which are presented as counterexamples of dispositional essentialism- arise from categorical thinking and this leads to misinterpretation of dispositional essentialism. We will demonstrate that these counter-examples, ipso facto, affirm the basic notion of dispositions as defended by dispositional essentialism. (shrink)

A common feature of all standard theories of the laws of nature is that they are "absolutist": They take laws to be either all metaphysically necessary or all contingent. Science, however, gives us reason to think that there are laws of both kinds, suggesting that standard theories should make way for "non-absolutist" alternatives: theories which accommodate laws of both modal statuses. In this paper, we set out three explanatory challenges for any candidate non-absolutist theory and discuss the prospects of the (...) two extant candidates in light of these challenges. We then develop our own non-absolutist theory, the essentialist DTA account, which combines the nomic-necessitation or DTA account with an essentialist approach to metaphysical modality in order to meet the three explanatory challenges. Finally, we argue that the distinction between kinematical and dynamical laws found in physical theories supports both non-absolutism in general and our proposed essentialist DTA view in particular. (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)

Many philosophers are baffled by necessity. Humeans, in particular, are deeply disturbed by the idea of necessary laws of nature. In this paper I offer a systematic yet down to earth explanation of necessity and laws in terms of invariance. The type of invariance I employ for this purpose generalizes an invariance used in meta-logic. The main idea is that properties and relations in general have certain degrees of invariance, and some properties/relations have a stronger degree of invariance than others. (...) The degrees of invariance of highly-invariant properties are associated with high degrees of necessity of laws governing/describing these properties, and this explains the necessity of such laws both in logic and in science. This non-mysterious explanation has rich ramifications for both fields, including the formality of logic and mathematics, the apparent conflict between the contingency of science and the necessity of its laws, the difference between logical-mathematical, physical, and biological laws/principles, the abstract character of laws, the applicability of logic and mathematics to science, scientific realism, and logical-mathematical realism. (shrink)

What is the thesis of determinism? Though it is obvious that in principle there is more than one possible thesis that might be given this name, it seems to be the case that philosophers working on the free will problem have gradually gravitated towards a more-or-less standard definition, minor variations on which can now be found widely scattered through the free will literature. I call it the ‘entailment definition’ and it states, roughly, that determinism is the thesis that for any (...) given time, a complete statement of the facts about that time, together with a complete statement of the laws of nature, entails every truth as to what happens after that time. In this paper, I argue that acceptance of the entailment definition has been a mistake—and that we need a definition of determinism which, by contrast with the entailment definition, makes explicit mention of the notion of natural necessity. (shrink)

The dynamics of general relativity is encoded in a set of ten differential equations, the so-called Einstein field equations. It is usually believed that Einstein's equations represent a physical law describing the coupling of spacetime with material fields. However, just six of these equations actually describe the coupling mechanism: the remaining four represent a set of differential relations known as Bianchi identities. The paper discusses the physical role that the Bianchi identities play in general relativity, and investigates whether these identities (...) --qua part of a physical law-- highlight some kind of a posteriori necessity in a Kripkean sense. The inquiry shows that general relativistic physics has an interesting bearing on the debate about the metaphysics of the laws of nature. (shrink)

We call attention to different formulations of how physical laws relate to what is physically possible in the philosophical literature, and argue that it may be the case that determinism fails under one formulation but reigns under the other. Whether this is so depends on our view on the nature of laws, and may also depend on the inter-theoretical relationships among our best physical theories, or so shall we argue.

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

Traditionally, philosophers have cashed out the distinction between law-like and accidental regularities sharply: a regularity is either law-like, and thereby necessary, or accidental. However, Mitchell and Lange have drawn attention to the fact that some law-like regularities come in different degrees of necessity. For instance, the regularity expressed by “all electrons are negatively charged” has a greater degree of necessity than the one expressed by “all mammals are warm-blooded”, even if both of them are true. Moreover, Mitchell argues that the (...) dichotomy between accidental and necessary regularities is unable to capture the complexity of the causal structure of the world. Building on this, I argue that regularities do not only come in different degrees of necessity, but also have different formal features and ontological features. All these features matter in order to make sense of the causal complexity of the world. Accordingly, I propose a new conceptual framework to analyze regularities according to three mutually independent levels of analysis: formal features, degree of necessity, and ontological grounds. This new framework can make sense of different degrees of necessity, and it naturally accommodates a wide variety of scientifically-relevant regularities including those typically associated with laws of nature, biological mechanisms, and dispositional properties. (shrink)

How does metaphysical necessity relate to the modal force often associated with natural laws? Fine argues that natural necessity can neither be obtained from metaphysical necessity via forms of restriction nor of relativization — and therefore pleads for modal pluralism concerning natural and metaphysical necessity. Wolff, 898–906, 2013) aims at providing illustrative examples in support of applying Fine’s view to the laws of nature with specific recourse to the laws of physics: On the one hand, Wolff takes it that equations (...) of motion can count as examples of physical laws that are only naturally but not metaphysically necessary. On the other hand, Wolff argues that a certain conservation law obtainable via Noether’s second theorem is an instance of a metaphysically necessary physical law. I show how Wolff’s example for a putatively metaphysically necessary conservation law fails but argue that so-called topological currents can nevertheless count as metaphysically necessary conservation laws carrying physical content. I conclude with a remark on employing physics to answer questions in metaphysics. (shrink)

It is generally assumed that relations of necessity cannot be known by induction on experience. In this paper, I propose a notion of situated possibilities, weaker than nomic possibilities, that is compatible with an inductivist epistemology for modalities. I show that assuming this notion, not only can relations of necessity be known by induction on our experience, but such relations cannot be any more underdetermined by experience than universal regularities. This means that any one believing in a universal regularity is (...) as well warranted to believe in the corresponding relation of necessity. (shrink)

Julien Tricard criticizes the traditional formulation of the Problem of Induction, and offers to simplify it. Since Hume, he oughts to demonstrate that “the same causes always produce the same effects”, or that “the laws of nature cannot change over time” (uniformity of nature). First, an historical analysis shows, however, that the notion of causality is not needed to set the problem out. Second, the concept of “laws of nature” is analyzed, proving that laws cannot change over time: either there (...) are unchanging laws in nature, or there is none. Therefore, it is necessary and plainly sufficient, in order to solve the Problem of Induction, to prove that laws of nature, governing natural phenomena, do exist. (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 book defends a radical new theory of contingency as a physical phenomenon. Drawing on the many-worlds approach to quantum theory and cutting-edge metaphysics and philosophy of science, it argues that quantum theories are best understood as telling us about the space of genuine possibilities, rather than as telling us solely about actuality. When quantum physics is taken seriously in the way first proposed by Hugh Everett III, it provides the resources for a new systematic metaphysical framework encompassing possibility, necessity, (...) actuality, chance, counterfactuals, and a host of related modal notions. -/- Rationalist metaphysicians argue that the metaphysics of modality is strictly prior to any scientific investigation; metaphysics establishes which worlds are possible, and physics merely checks which of these worlds is actual. Naturalistic metaphysicians respond that science may discover new possibilities and new impossibilities. This book's quantum theory of contingency takes naturalistic metaphysics one step further, allowing that science may discover what it is to be possible. As electromagnetism revealed the nature of light, as acoustics revealed the nature of sound, as statistical mechanics revealed the nature of heat, so quantum physics reveals the nature of contingency. (shrink)

This book deals with an internal theme of metaphysics, which is the metaphysics of the laws of nature. The author presents traditional contemporary theories, as well as his own original theory, and evaluates each one at a time. He also addresses the problem of the modality of the laws of nature and makes some criticism of the standard view of necessity as truth in all possible worlds, and shows an application of his discussion to the metaphysics of physics. / Este (...) livro trata de um tema interno à metafísica, que é a metafísica das leis da natureza. O autor apresenta as teorias tradicionais contemporâneas, tal como também a sua própria teoria original, e avalia cada uma delas por vez. Ele também aborda o problema da modalidade das leis da natureza e apresenta uma certa crítica à visão padrão da necessidade como verdade em todos os mundos possíveis, e mostra uma aplicação da sua discussão à metafísica da Física. (shrink)

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

In this article I argue for an empiricist view on laws. Some laws are fundamental in the sense that they are the result of inductive generalisations of observed regularities and at the same time in their formulation contain a new theoretical predicate. The inductive generalisations simul- taneously function as implicit definitions of these new predicates. Other laws are either explicit definitions or consequences of other previously established laws. I discuss the laws of classical mechanics, relativity theory and electromagnetism in detail. (...) Laws are necessary, whereas acciden- tal generalisations are not. But necessity here is not a modal concept, but rather interpreted as short for the semantic predicate “... is necessarily true”. Thus no modal logic is needed. The neces- sity attributed to law sentences is in turn interpreted as “necessary condition for the rest of the the- ory”, which is true since fundamental laws are implicit definitions of theoretical predicates use in the theory. (shrink)

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

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

This paper focuses on Leibniz’s conception of modality and its application to the issue of natural laws. The core of Leibniz’s investigation of the modality of natural laws lays in the distinction between necessary, geometrical laws on the one hand, and contingent, physical laws of nature on the other. For Leibniz, the contingency of physical laws entailed the assumption of the existence of an additional form of causality beyond mechanical or efficient ones. While geometrical truths, being necessary, do not require (...) the use of the principle of sufficient reason, physical laws are not strictly determined by geometry and therefore are logically distinct from geometrical laws. As a consequence, the set of laws that regulate the physical laws could have been created otherwise by God. However, in addition to this, the contingency of natural laws does not consist only in the fact that God has chosen them over other possible ones. On the contrary, Leibniz understood the status of natural laws as arising from the action internal to physical substances. Hence the actuality of physical laws results from a causal power that is inherent to substances rather than being the mere consequence of the way God arranged the relations between physical objects. Focusing on three instances of Leibniz’s treatment of contingency in physics, this paper argues that, in order to account for the contingency of physical laws, Leibniz maintained that final causes, in addition to efficient and mechanical ones, must operate in physical processes and operations. (shrink)

In this paper, I will defend the thesis that fundamental natural laws are distinguished from accidental empirical generalizations neither by metaphysical necessity, 147–155, 2005, 2007) nor by contingent necessitation. The only sort of modal force that distinguishes natural laws, I will argue, arises from the peculiar physical property of mutual independence of elementary interactions exemplifying the laws. Mutual independence of elementary interactions means that their existence and their nature do not depend in any way on which other interactions presently occur. (...) It is exactly this general physical property of elementary interactions in the actual world that provides natural laws with their specific modal force and grounds the experience of nature’s ‘recalcitrance’. Thus, the modal force of natural laws is explained by contingent non-modal properties of nature. In the second part of the paper, I deal with some alleged counterexamples to my approach: constraint laws, compositional laws, symmetry principles and conservation laws. These sorts of laws turn out to be compatible with my approach: constraint laws and compositional laws do not represent the dynamics of interaction-types by themselves, but only as constitutive parts of a complete set of equations, whereas symmetry principles and conservation laws do not represent any specific dynamics, but only impose general constraints on possible interactions. (shrink)

According to epistemic structural realism scientific theories provide us only with knowledge about the structure of the unobservable world, but not about its nature. The most significant objection that this posi- tion has faced is the so-called Newman’s problem. In this paper I offer an alternative objection to EER. I argue that its formulation leads to undesirable skeptical positions in two fields close to scientific realism: the debates on modality and laws of nature. I also show that there is an (...) interesting sense in which my objection is stronger than the one offered by Newman. (shrink)

Chapter 1 serves as an introduction to the vast topic of laws of nature. Thus, it first outlines the alleged characteristics of the laws of nature, namely truth, objectivity, contingency, necessity, universality, grounding counterfactuals and their role in science. Among these aspects, the peculiar modal status of laws of nature will be identified as the ‘holy grail’ of the debate. The second part of this chapter is concerned with the three main families of theories of laws of nature – neo-humean, (...) ADT and dispositional theories – which are introduced and evaluated in regard to the aforementioned characteristics. It will then be argued that among those theories, the dispositional ones show the greatest promise of being able to account for the natural necessity of the laws of nature. -/- Before a dispositional account of laws of nature can be given, dispositions themselves need to be understood. Consequently, Chapter 2 introduces various analyses of dispositions. As dispositions are pre-theoretically close to conditionals, a lot of analyses try to reduce dispositions to conditionals. This chapter critically assesses some chosen accounts: the simple conditional analysis, Carnap’s reduction sentences, the simple counterfactual conditional analysis, Lewis’ reformed conditional analysis, Malzkorn’s sophisticated con- ditional analysis, Choi and Gundersen’s context-dependent analysis, Manley and Wasserman’s gradable dispostion ascriptions, and Fara’s habituals. The prevention problem, which poses a threat to any account of dispositions, is depicted. It is argued that, ultimately, none of the conditionalising attempts is able to convince since they all exclude the problem cases which leads to explanation gaps and outlaw areas. -/- Chapter 3 contains the synchronic part of my preferred solution to the prevention problem. The notion of ‘component causes’ is introduced, and the ontological status of components discussed. Millikan’s oil drop experiment is depicted en detail. In a first step, making a distinction between dispositions and the resulting behaviour is advocated. Via the symmetry argument, mani- festations and masks are shown to be ontologically on a par. In a second step, a triadic account consisting of dispositions, wirkungen and resultant behaviour, is established. Finally, the ontological interpretation of the trias is given. It is in the nature of the dispositions to bring about the wirkungen. These interact via combinations rules like the functions f and fa or vector addition, which are built-in into to dispositions. -/- The diachronic part of my favourite interpretation, the triadic process picture of dispositions (TPD), is presented in chapter 4. The dynamics of dispo- sition manifestation are discussed and it is argued that fiddling with the trigger works only up to a certain point. Diachronic masking cases turn out to be no- torious. An excursus to action theory shows that the ontology needs to include processes, as understanding disposition manifestations as processes solves the diachronic prevention problem. The (TPD) can account for all counterexamples by taking the stimulus as the beginning of the manifestation process. -/- Chapter 5 applies the (TPD) to the debate about laws of nature. In order to judge its adequacy, the characteristics of laws of nature given in chapter 1 are consulted. As a first step, the criteria truth, objectivity, universality, grounding counterfactuals and their role in science are covered. It is sketched how the (TPD) can account for these. The second part of the chapter deals with the modal status of the laws of nature. The dispositional essentialist’s view that laws of nature are metaphysical necessary is depicted and then criticised. It is argued that metaphysical necessity is not the appropriate modal status of the laws of nature. Finally, the (TPD) account of the necessity of the laws of nature is presented: laws of nature are naturally necessary and metaphysically contingent. (shrink)

How we define the space of possibilities of dispositional essentialism —that is, the set of possible worlds that are genuinely possible from the point of view of DE—has important consequences for central modal debates such as how to understand the concept of essence or the relation between DE and the necessity of laws of nature. In order to define DE’s space of possibilities we need to explore DE’s consequences regarding both necessity and possibility. Unfortunately, the notion of possibility has not (...) received much attention within the DE literature. In this paper, I attempt to fill this gap. I argue that the standard way of understanding possibility found in the literature—a proposition is possible iff it expresses the manifestation of some actual disposition—needlessly restricts the space of possibilities by not accepting global and absolute possibilities, including some alien properties, as genuinely possible. I propose instead to accept a more permissive understanding of possibility: a proposition is possible iff it does not contradict any of the necessities that follow from the core commitments of DE. This allows dispositionalists to expand their modal space and to account for modal intuitions that may otherwise undermine the tenability of DE. (shrink)

I build a case for the impossibility of natural necessity as anything other than a species of metaphysical necessity – the necessity obtaining in virtue of the essences of natural objects. Aristotelian necessitarianism about the laws of nature is clarified and defended. I contrast it with E.J. Lowe’s contingentism about the laws. I examine Lowe’s solution to the circularity/triviality problem besetting natural necessity understood as relative necessity. Lowe’s way out is subject to serious problems unless it is given an essentialist (...) turn, which he declines to do. Further, his defence of contingency in terms of possible variation in the natural constants is found wanting, as is a related defence given by Kit Fine. I examine and raise problems for a recent, Lowe-inspired defence of a hybrid view of the modal status of laws given by Tuomas Tahko. Aristotelian necessitarianism, by contrast, can account for the sorts of phenomena to which contingentists typically appeal. (shrink)

This article presents a critical analysis of two influential readings of Kant’s Second Analogy, namely, Gerd Buchdahl’s “modest reading” and Michael Friedman’s “strong reading.” After pointing out the textual and philosophical problems with each, I advance an alternative reading of the Second Analogy argument. On my reading, the Second Analogy argument proves the existence of necessary and strictly universal causal laws. This, however, does not guarantee that Kant has a solution for the problem of induction. After I explain why the (...) empirical lawfulness of nature does not guarantee the empirical uniformity of nature, I examine the modal status of empirical laws in Kant and argue contra Buchdahl and Friedman that empirical laws express two different kinds of necessity that are not reducible to each other. -/- . (shrink)